From 5db06df19560d53b0f4970344b2eb66df41bbe9e Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Iida=20Pyykk=C3=B6nen?= <iapyyk@utu.fi>
Date: Tue, 11 Feb 2025 23:54:44 +0200
Subject: [PATCH] new exercises of emlm
---
.../2/DAKD2023_ex2_Iida_Pyykkonen.ipynb | 2 +-
...M2025_exercise2_Pyykkonen-checkpoint.ipynb | 746 ++++++++
.../EMLM_Exercise1_Pyykkonen-checkpoint.ipynb | 655 +++++++
.../EMLM_Exercise1_template-checkpoint.ipynb | 660 +++++++
.../.~lock.input.csv# | 1 +
.../1/EMLM_Exercise1_Pyykkonen.ipynb | 655 +++++++
.../1/EMLM_Exercise1_Pyykkonen.pdf | Bin 0 -> 87776 bytes
.../1/water_data.csv | 226 +++
.../2/EMLM2025_exercise2_Pyykkonen.ipynb | 746 ++++++++
.../2/EMLM2025_exercise2_Pyykkonen.pdf | Bin 0 -> 80875 bytes
.../2/coordinates.csv | 1691 +++++++++++++++++
.../2/input.csv | 1691 +++++++++++++++++
.../2/output.csv | 1691 +++++++++++++++++
13 files changed, 8763 insertions(+), 1 deletion(-)
create mode 100644 evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM2025_exercise2_Pyykkonen-checkpoint.ipynb
create mode 100644 evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM_Exercise1_Pyykkonen-checkpoint.ipynb
create mode 100644 evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM_Exercise1_template-checkpoint.ipynb
create mode 100644 evaluation_of_machine_learning_methods/.~lock.input.csv#
create mode 100644 evaluation_of_machine_learning_methods/1/EMLM_Exercise1_Pyykkonen.ipynb
create mode 100644 evaluation_of_machine_learning_methods/1/EMLM_Exercise1_Pyykkonen.pdf
create mode 100644 evaluation_of_machine_learning_methods/1/water_data.csv
create mode 100644 evaluation_of_machine_learning_methods/2/EMLM2025_exercise2_Pyykkonen.ipynb
create mode 100644 evaluation_of_machine_learning_methods/2/EMLM2025_exercise2_Pyykkonen.pdf
create mode 100644 evaluation_of_machine_learning_methods/2/coordinates.csv
create mode 100644 evaluation_of_machine_learning_methods/2/input.csv
create mode 100644 evaluation_of_machine_learning_methods/2/output.csv
diff --git a/data_analysis_and_knowledge_management/2/DAKD2023_ex2_Iida_Pyykkonen.ipynb b/data_analysis_and_knowledge_management/2/DAKD2023_ex2_Iida_Pyykkonen.ipynb
index b34d4303e..e4708f442 100644
--- a/data_analysis_and_knowledge_management/2/DAKD2023_ex2_Iida_Pyykkonen.ipynb
+++ b/data_analysis_and_knowledge_management/2/DAKD2023_ex2_Iida_Pyykkonen.ipynb
@@ -2060,7 +2060,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.11.6"
+ "version": "3.13.1"
},
"toc": {
"base_numbering": 1,
diff --git a/evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM2025_exercise2_Pyykkonen-checkpoint.ipynb b/evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM2025_exercise2_Pyykkonen-checkpoint.ipynb
new file mode 100644
index 000000000..09fb272ff
--- /dev/null
+++ b/evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM2025_exercise2_Pyykkonen-checkpoint.ipynb
@@ -0,0 +1,746 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Exercise 2 | TKO_7092 Evaluation of Machine Learning Methods 2025\n",
+ "## deadline: 12.2.2025 - 23:59\n",
+ "\n",
+ "Regarding any questions about this exercise, please contact course assistant Jonne Pohjankukka (jjepoh@utu.fi)\n",
+ "\n",
+ "********************************************\n",
+ "\n",
+ "Student name: Iida Pyykkönen\n",
+ "\n",
+ "Student number: 526289\n",
+ "\n",
+ "Student email: iida.a.pyykkonen@utu.fi\n",
+ "\n",
+ "********************************************"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Water permeability prediction in forestry <br>\n",
+ "\n",
+ "In this task, the client wants you to estimate the spatial prediction performance of K-nearest neighbor regression model with K=7 (7NN), using spatial leave-one-out cross-validation (i.e. SKCV, with number of folds == number of data points). The client wants you to use the C-index as the performance measure. \n",
+ "\n",
+ "In other words, the client wants you to answer the question: \"What happens to the prediction performance of water permeability using 7-nearest neighbor regression model, when the geographical distance between known data and unknown data increases?\".\n",
+ "\n",
+ "In this task, you have three data files available (with 1691 data points): \n",
+ "\n",
+ "- input.csv, contains the 75 predictor features. \n",
+ "- output.csv, contains the water permebility values. \n",
+ "- coordinates.csv, contains the corresponding geographical coordinate locations of the data points. The unit of the coordinates is metre, and you can use Euclidean distance to calculate distances between the coordinate points. \n",
+ "\n",
+ "Implement the following tasks to complete this exercise:\n",
+ "\n",
+ "********************************************\n",
+ "\n",
+ "#### 1. Z-score standardize the predictor features (input.csv). \n",
+ "\n",
+ "#### 2. Perform spatial leave-one-out cross-validation with 7NN model for the provided data set (refer to the lectures 3.1.3 and 3.1.4 in 'Evaluating spatial models with spatial cross-validation' for help). Estimate the water permeability prediction performance (using 7NN model and C-index) with the following distance parameter values: d = 0, 20, 40, ..., 300 (that is, 20 meter intervals from 0m to 300m). \n",
+ "\n",
+ "#### 3. When you have calculated the C-index performance measure for each value of d, visualize the results with the C-index (y-axis) as a function of d (x-axis).\n",
+ "\n",
+ "********************************************\n",
+ "\n",
+ "Your .ipynb-file must include the following: \n",
+ "\n",
+ "- Your own implementation of the spatial leave-one-out cross-validation for the current task. You can use third-party libraries (e.g. Scikit-learn) if you want for implementing e.g. the 7-nearest neighbor. Also, try to follow good programming practices and add comments to relevant parts of your code explaining what you are doing and why.\n",
+ "\n",
+ "\n",
+ "- Plot of the graph C-index vs. distance parameter value. \n",
+ "\n",
+ "\n",
+ "<br><br><br>\n",
+ "-- START IMPLEMENTING YOUR EXERCISE AFTER THIS LINE --\n",
+ "<br><br><br>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Import necessary libraries"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 125,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# In this cell, import all the libraries that you need. For example: \n",
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "from sklearn.preprocessing import StandardScaler\n",
+ "from sklearn.neighbors import KNeighborsRegressor\n",
+ "from sklearn.model_selection import cross_val_score, LeaveOneOut\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Read in the datasets"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 126,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(1691, 75)\n",
+ "(1691, 1)\n",
+ "(1691, 2)\n"
+ ]
+ }
+ ],
+ "source": [
+ "# In this cell, read the files input.csv, output.csv and coordinates.csv.\n",
+ "# Print out the dataset dimesions (i.e. number of rows and columns).\n",
+ "inputs = pd.read_csv('input.csv', header=None)\n",
+ "outputs = pd.read_csv('output.csv', names=['permeability'])\n",
+ "coordinates = pd.read_csv('coordinates.csv', names=['latitude', 'longitude'])\n",
+ "\n",
+ "print(inputs.shape)\n",
+ "print(outputs.shape)\n",
+ "print(coordinates.shape)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 127,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
+ " .dataframe tbody tr th:only-of-type {\n",
+ " vertical-align: middle;\n",
+ " }\n",
+ "\n",
+ " .dataframe tbody tr th {\n",
+ " vertical-align: top;\n",
+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
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+ " <th>1</th>\n",
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+ " <th>7</th>\n",
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+ " <th>71</th>\n",
+ " <th>72</th>\n",
+ " <th>73</th>\n",
+ " <th>74</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>-0.053196</td>\n",
+ " <td>-0.219296</td>\n",
+ " <td>0.210020</td>\n",
+ " <td>0.704425</td>\n",
+ " <td>0.339477</td>\n",
+ " <td>0.412638</td>\n",
+ " <td>0.331074</td>\n",
+ " <td>-0.034411</td>\n",
+ " <td>-0.184481</td>\n",
+ " <td>0.307345</td>\n",
+ " <td>...</td>\n",
+ " <td>0.219541</td>\n",
+ " <td>0.539119</td>\n",
+ " <td>-0.645254</td>\n",
+ " <td>-0.519918</td>\n",
+ " <td>-0.447089</td>\n",
+ " <td>0.554097</td>\n",
+ " <td>0.087285</td>\n",
+ " <td>-0.109193</td>\n",
+ " <td>-0.913639</td>\n",
+ " <td>-0.461479</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>-0.632098</td>\n",
+ " <td>-0.682804</td>\n",
+ " <td>-0.285522</td>\n",
+ " <td>-0.369542</td>\n",
+ " <td>-0.138305</td>\n",
+ " <td>2.489725</td>\n",
+ " <td>2.051755</td>\n",
+ " <td>-0.034411</td>\n",
+ " <td>-0.246906</td>\n",
+ " <td>-0.226797</td>\n",
+ " <td>...</td>\n",
+ " <td>0.219541</td>\n",
+ " <td>-0.169259</td>\n",
+ " <td>-0.645254</td>\n",
+ " <td>2.475438</td>\n",
+ " <td>-0.447089</td>\n",
+ " <td>-0.288927</td>\n",
+ " <td>-0.035919</td>\n",
+ " <td>-1.481978</td>\n",
+ " <td>-1.087664</td>\n",
+ " <td>-0.461479</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>-0.674980</td>\n",
+ " <td>-0.597421</td>\n",
+ " <td>-0.568689</td>\n",
+ " <td>-0.983237</td>\n",
+ " <td>-0.828435</td>\n",
+ " <td>-0.496087</td>\n",
+ " <td>-0.451053</td>\n",
+ " <td>-0.034411</td>\n",
+ " <td>-0.324938</td>\n",
+ " <td>-0.627405</td>\n",
+ " <td>...</td>\n",
+ " <td>-1.047724</td>\n",
+ " <td>-0.877636</td>\n",
+ " <td>-0.645254</td>\n",
+ " <td>-0.519918</td>\n",
+ " <td>-0.447089</td>\n",
+ " <td>-0.375320</td>\n",
+ " <td>-0.159124</td>\n",
+ " <td>0.349947</td>\n",
+ " <td>0.134707</td>\n",
+ " <td>-0.809315</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>-0.331927</td>\n",
+ " <td>-0.154649</td>\n",
+ " <td>1.307292</td>\n",
+ " <td>0.090730</td>\n",
+ " <td>0.419107</td>\n",
+ " <td>1.061728</td>\n",
+ " <td>0.956776</td>\n",
+ " <td>-0.034411</td>\n",
+ " <td>-0.301529</td>\n",
+ " <td>-0.360333</td>\n",
+ " <td>...</td>\n",
+ " <td>-1.047724</td>\n",
+ " <td>-0.877636</td>\n",
+ " <td>-0.645254</td>\n",
+ " <td>-0.519918</td>\n",
+ " <td>-0.447089</td>\n",
+ " <td>-0.383278</td>\n",
+ " <td>0.703308</td>\n",
+ " <td>0.467238</td>\n",
+ " <td>0.107450</td>\n",
+ " <td>-0.832933</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>-0.610657</td>\n",
+ " <td>-0.673046</td>\n",
+ " <td>-0.161636</td>\n",
+ " <td>-0.522966</td>\n",
+ " <td>-0.377196</td>\n",
+ " <td>0.672274</td>\n",
+ " <td>0.800351</td>\n",
+ " <td>-0.034411</td>\n",
+ " <td>-0.363954</td>\n",
+ " <td>-0.961244</td>\n",
+ " <td>...</td>\n",
+ " <td>-1.047724</td>\n",
+ " <td>-0.877636</td>\n",
+ " <td>2.098494</td>\n",
+ " <td>0.977760</td>\n",
+ " <td>1.960643</td>\n",
+ " <td>-0.296657</td>\n",
+ " <td>0.087285</td>\n",
+ " <td>-0.333328</td>\n",
+ " <td>-0.636876</td>\n",
+ " <td>-0.542584</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "<p>5 rows × 75 columns</p>\n",
+ "</div>"
+ ],
+ "text/plain": [
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+ "4 -0.610657 -0.673046 -0.161636 -0.522966 -0.377196 0.672274 0.800351 \n",
+ "\n",
+ " 7 8 9 ... 65 66 67 68 \\\n",
+ "0 -0.034411 -0.184481 0.307345 ... 0.219541 0.539119 -0.645254 -0.519918 \n",
+ "1 -0.034411 -0.246906 -0.226797 ... 0.219541 -0.169259 -0.645254 2.475438 \n",
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+ "3 -0.034411 -0.301529 -0.360333 ... -1.047724 -0.877636 -0.645254 -0.519918 \n",
+ "4 -0.034411 -0.363954 -0.961244 ... -1.047724 -0.877636 2.098494 0.977760 \n",
+ "\n",
+ " 69 70 71 72 73 74 \n",
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+ "3 -0.447089 -0.383278 0.703308 0.467238 0.107450 -0.832933 \n",
+ "4 1.960643 -0.296657 0.087285 -0.333328 -0.636876 -0.542584 \n",
+ "\n",
+ "[5 rows x 75 columns]"
+ ]
+ },
+ "execution_count": 127,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "inputs.head(5)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 128,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
+ " .dataframe tbody tr th:only-of-type {\n",
+ " vertical-align: middle;\n",
+ " }\n",
+ "\n",
+ " .dataframe tbody tr th {\n",
+ " vertical-align: top;\n",
+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>permeability</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>5.8359</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>6.2592</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>6.9041</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>6.2065</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>7.0642</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " permeability\n",
+ "0 5.8359\n",
+ "1 6.2592\n",
+ "2 6.9041\n",
+ "3 6.2065\n",
+ "4 7.0642"
+ ]
+ },
+ "execution_count": 128,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "outputs.head(5)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 129,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
+ " .dataframe tbody tr th:only-of-type {\n",
+ " vertical-align: middle;\n",
+ " }\n",
+ "\n",
+ " .dataframe tbody tr th {\n",
+ " vertical-align: top;\n",
+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>latitude</th>\n",
+ " <th>longitude</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>459140.0</td>\n",
+ " <td>7524200.0</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>461590.0</td>\n",
+ " <td>7549000.0</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>462040.0</td>\n",
+ " <td>7549300.0</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>462040.0</td>\n",
+ " <td>7549300.0</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>462130.0</td>\n",
+ " <td>7549400.0</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " latitude longitude\n",
+ "0 459140.0 7524200.0\n",
+ "1 461590.0 7549000.0\n",
+ "2 462040.0 7549300.0\n",
+ "3 462040.0 7549300.0\n",
+ "4 462130.0 7549400.0"
+ ]
+ },
+ "execution_count": 129,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "coordinates.head(5)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Standardization of the predictor features (input.csv)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 130,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Standardize the predictor features (input.csv) by removing the mean and scaling to unit variance. \n",
+ "# In other words, z-score the predictor features. You are allowed to use third-party libraries for doing this. \n",
+ "\n",
+ "scaler = StandardScaler()\n",
+ "ins = inputs.copy()\n",
+ "ins = scaler.fit_transform(ins)\n",
+ "inputs_std = pd.DataFrame(ins)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Functions and analysis code"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 131,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Include here all the functions and other relevant code that you need in order to implement the task.\n",
+ "\n",
+ "# Note! Utilize the following two functions in your implementation:\n",
+ "\n",
+ "### Function for calculating C-index ###\n",
+ "# y: array containing true label values.\n",
+ "# yp: array containing the predicted label values.\n",
+ "def cindex(y, yp):\n",
+ " n = 0\n",
+ " h_num = 0 \n",
+ " for i in range(0, len(y)):\n",
+ " t = y[i]\n",
+ " p = yp[i]\n",
+ " for j in range(i+1, len(y)):\n",
+ " nt = y[j]\n",
+ " np = yp[j]\n",
+ " if (t != nt): \n",
+ " n = n + 1\n",
+ " if (p < np and t < nt) or (p > np and t > nt): \n",
+ " h_num += 1\n",
+ " elif (p == np):\n",
+ " h_num += 0.5\n",
+ " return h_num/n\n",
+ "\n",
+ "\n",
+ "### Function for calculating the pairwise spatial distances between the data points ###\n",
+ "# The function will return a n-by-n matrix of Euclidean distances. For example, the\n",
+ "# distance_matrix element at indices i,j will contain the spatial distance between \n",
+ "# data point i and j. Note that the element value is 0 always when i==j.\n",
+ "# coordinate_array: n-by-2 array containing the coordinates of the exercise data points.\n",
+ "def cdists(coordinate_array):\n",
+ " number_of_observations = coordinate_array.shape[0]\n",
+ " distance_matrix = np.zeros((number_of_observations, number_of_observations))\n",
+ " for i in range(0, number_of_observations):\n",
+ " distance_matrix[i, :] = np.sqrt(np.sum((coordinate_array - coordinate_array[i])**2, axis=1))\n",
+ " return distance_matrix"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Results for spatial leave-one-out cross-validation with 7-nearest neighbor regression model"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 132,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[0, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300]\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Distances for the loop\n",
+ "distances = list(range(0,320,20))\n",
+ "print(distances)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 134,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "<Axes: xlabel='distance', ylabel='c-index'>"
+ ]
+ },
+ "execution_count": 134,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ "<Figure size 640x480 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# In this cell, run your script for the Spatial leave-One-Out cross-validation \n",
+ "# with 7-nearest neighbor regression model and visualize the results as \n",
+ "# requested in the task assignment.\n",
+ "\n",
+ "loo = LeaveOneOut()\n",
+ "result = []\n",
+ "\n",
+ "for distance in distances:\n",
+ " y_pred = []\n",
+ " y_true = []\n",
+ " \n",
+ " for train_ix, test_ix in loo.split(inputs_std):\n",
+ " test_point = inputs.iloc[test_ix]\n",
+ " \n",
+ " # Get the points that are within the distance of the test point\n",
+ " too_close = np.where(distance_matrix[test_ix] < distance)\n",
+ " \n",
+ " # Filter out the points that are too close (test point gets filtered out too)\n",
+ " filtered_train = np.setdiff1d(train_ix, too_close)\n",
+ "\n",
+ " # Split the data\n",
+ " X_train = inputs_std.iloc[filtered_train]\n",
+ " y_train = outputs.loc[filtered_train]\n",
+ " X_test = inputs_std.loc[test_ix]\n",
+ " y_test = outputs.loc[test_ix].values\n",
+ "\n",
+ " # Train the model and make a prediction with the test point\n",
+ " neigh = KNeighborsRegressor(n_neighbors=7)\n",
+ " neigh.fit(X_train, y_train)\n",
+ " \n",
+ " prediction = neigh.predict(test_point)\n",
+ " \n",
+ " y_pred.append(prediction)\n",
+ " y_true.append(y_test)\n",
+ "\n",
+ " # C-index for the current distance\n",
+ " c_index = cindex(y_true, y_pred)\n",
+ " result.append([distance, c_index])\n",
+ "\n",
+ "result_looc = pd.DataFrame(result, columns=['distance', 'c-index'])\n",
+ "\n",
+ "sns.lineplot(result_looc, x='distance', y='c-index')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Analysis of the results"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### In this cell, you need to answer the client's questions:\n",
+ "\n",
+ "\n",
+ "1. What happens to the 7NN performance as the prediction distance increases?\n",
+ "\n",
+ "\n",
+ "2. Do you think the results behave as was somewhat expected? Do they make sense, why?\n",
+ "\n",
+ "\n",
+ "3. If we require that the 7NN must have at least C-index performance of 0.68, then up to what distance should we trust the 7NN predictions, based on the results?"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "1. The prediction performance worsens as distance increases.\n",
+ "2. The results make sense because in this spatial dataset the datapoints that are closer are more similar.\n",
+ "3. With threshold 0.68 we can trust the predictions up to 100 meters."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.13.1"
+ },
+ "toc": {
+ "base_numbering": 1,
+ "nav_menu": {},
+ "number_sections": false,
+ "sideBar": true,
+ "skip_h1_title": false,
+ "title_cell": "Table of Contents",
+ "title_sidebar": "Contents",
+ "toc_cell": false,
+ "toc_position": {},
+ "toc_section_display": true,
+ "toc_window_display": true
+ },
+ "varInspector": {
+ "cols": {
+ "lenName": 16,
+ "lenType": 16,
+ "lenVar": 40
+ },
+ "kernels_config": {
+ "python": {
+ "delete_cmd_postfix": "",
+ "delete_cmd_prefix": "del ",
+ "library": "var_list.py",
+ "varRefreshCmd": "print(var_dic_list())"
+ },
+ "r": {
+ "delete_cmd_postfix": ") ",
+ "delete_cmd_prefix": "rm(",
+ "library": "var_list.r",
+ "varRefreshCmd": "cat(var_dic_list()) "
+ }
+ },
+ "types_to_exclude": [
+ "module",
+ "function",
+ "builtin_function_or_method",
+ "instance",
+ "_Feature"
+ ],
+ "window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM_Exercise1_Pyykkonen-checkpoint.ipynb b/evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM_Exercise1_Pyykkonen-checkpoint.ipynb
new file mode 100644
index 000000000..e3e956084
--- /dev/null
+++ b/evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM_Exercise1_Pyykkonen-checkpoint.ipynb
@@ -0,0 +1,655 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "YW9ClVnn595R"
+ },
+ "source": [
+ "Iida Pyykkönen <br>\n",
+ "526289 <br>\n",
+ "02, 03, 2025 <br>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "NaLBCv9h595Z"
+ },
+ "source": [
+ "# Exercise 1 | TKO_7092 Evaluation of Machine Learning Methods 2025"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "KZ5sdJ1t595c"
+ },
+ "source": [
+ "##### Prediction of the metal ion content from multi-parameter data\n",
+ "<b> Use K-Nearest Neighbor Regression with euclidean distance to predict total metal concentration (c_total), concentration of Cadmium (Cd) and concentration of Lead (Pb), using number of neighbors k = 1, 3, 5, 7.</b>\n",
+ "\n",
+ " - You may use Nearest Neighbor Regression from https://scikit-learn.org/stable/modules/neighbors.html \n",
+ " - Implement Leave-One-Out cross-validation and calculate the C-index for each output (c_total, Cd, Pb).\n",
+ " - Implement Leave-Replicas-Out cross-validation and calculate the C-index for each output (c_total, Cd, Pb).\n",
+ " - Return your solution as a Jupyter Notebook .ipynb notebook and as a PDF-file made from it. Please, add your full name to the file name.\n",
+ " - The exercise will be graded by a maximum of 2 points.\n",
+ " - Submit to moodle your solution on ** Wednesday 5 of February ** at the latest.\n",
+ " \n",
+ "<b>Please be aware that you are required to submit your individual solution.<br>\n",
+ "Submissions with identical or similar code will result in a failure for the exercise.</b>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "IpFCme-M595g"
+ },
+ "source": [
+ "## Import libraries"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 282,
+ "metadata": {
+ "id": "T5XhIYzV595j",
+ "tags": []
+ },
+ "outputs": [],
+ "source": [
+ "# In this cell import all libraries you need. For example:\n",
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "from scipy.stats import somersd\n",
+ "from sklearn.neighbors import KNeighborsRegressor\n",
+ "from sklearn.metrics import make_scorer\n",
+ "from sklearn.model_selection import cross_val_score, LeaveOneOut, LeaveOneGroupOut\n",
+ "import matplotlib.pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "cTTvsJ4V595m"
+ },
+ "source": [
+ "## Read and visualize the dataset"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "tGWq753R595o",
+ "jp-MarkdownHeadingCollapsed": true
+ },
+ "source": [
+ "<p> <b>Note:</b> This dataset differs slightly from the one used in the video lectures. <br>\n",
+ "<b>In this dataset, some mixtures have 3 replicas, while others have 4 replicas. </b> </p>\n",
+ "\n",
+ "In the following cell:\n",
+ "- Read the file water_data.csv\n",
+ "- Print the dimesions of the dataset (i.e. number of rows and columns) and display the first 5 rows.\n",
+ "- Identify the inputs and the outputs columns.\n",
+ "- Provide the number of mixtures with 3 replicas and 4 replicas, respectively."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 283,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 225
+ },
+ "id": "KFjZRq5f595o",
+ "outputId": "2dbbfdba-9732-4cd0-921e-9fb6bccc2f4a",
+ "tags": []
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Data dimensions: (225, 6)\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
+ " .dataframe tbody tr th:only-of-type {\n",
+ " vertical-align: middle;\n",
+ " }\n",
+ "\n",
+ " .dataframe tbody tr th {\n",
+ " vertical-align: top;\n",
+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>c_total</th>\n",
+ " <th>Cd</th>\n",
+ " <th>Pb</th>\n",
+ " <th>Mod1</th>\n",
+ " <th>Mod2</th>\n",
+ " <th>Mod3</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>-0.999216</td>\n",
+ " <td>-0.714208</td>\n",
+ " <td>-0.414911</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>-0.990800</td>\n",
+ " <td>-0.714373</td>\n",
+ " <td>-0.238335</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>-0.990539</td>\n",
+ " <td>-0.714125</td>\n",
+ " <td>0.020788</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>14.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>14.0</td>\n",
+ " <td>-1.001247</td>\n",
+ " <td>-0.713546</td>\n",
+ " <td>0.945465</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>14.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>14.0</td>\n",
+ " <td>-1.013727</td>\n",
+ " <td>-0.714125</td>\n",
+ " <td>0.569631</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " c_total Cd Pb Mod1 Mod2 Mod3\n",
+ "0 0.0 0.0 0.0 -0.999216 -0.714208 -0.414911\n",
+ "1 0.0 0.0 0.0 -0.990800 -0.714373 -0.238335\n",
+ "2 0.0 0.0 0.0 -0.990539 -0.714125 0.020788\n",
+ "3 14.0 0.0 14.0 -1.001247 -0.713546 0.945465\n",
+ "4 14.0 0.0 14.0 -1.013727 -0.714125 0.569631"
+ ]
+ },
+ "execution_count": 283,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv('water_data.csv')\n",
+ "print('Data dimensions:',df.shape)\n",
+ "df.head(5)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 284,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 178
+ },
+ "id": "ojiLT4lS595s",
+ "outputId": "00e6c5a8-f5bf-425b-eacb-339f8fd24a1d"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "size\n",
+ "3 43\n",
+ "4 24\n",
+ "Name: count, dtype: int64"
+ ]
+ },
+ "execution_count": 284,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "trimmed_df = df[['Cd', 'Pb']]\n",
+ "temp_df = trimmed_df.groupby(trimmed_df.columns.tolist(),as_index=False).size()\n",
+ "temp_df['size'].value_counts()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "kbwaulak595v"
+ },
+ "source": [
+ "Columns 0-2 are outputs and 3-5 are inputs.\n",
+ "There are 43 mixtures with 3 replicas and 24 with 4 replicas."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "QqwgcBkg595x"
+ },
+ "source": [
+ "## C-index code"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 285,
+ "metadata": {
+ "id": "_IV102IH595y"
+ },
+ "outputs": [],
+ "source": [
+ "# In this cell is the fuction that computes the c-index value based on Somers'D statistic.\n",
+ "# Use this fuction as the evaluation metric in the Leave-One-Out (LOOCV) and Leave-Replicas-Out (LROCV) cross-validation methods.\n",
+ "\n",
+ "def cindex(true, pred):\n",
+ " s_d = somersd(true, y=pred, alternative='two-sided')\n",
+ " c_index = (s_d.statistic + 1.0)/2.0\n",
+ " return c_index"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "-Ynfkfpj595z"
+ },
+ "source": [
+ "## Functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 286,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "inputs = df[['Mod1', 'Mod2', 'Mod3']]\n",
+ "outputs = df[['c_total', 'Cd', 'Pb']]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "KgU8M_JZ5951"
+ },
+ "source": [
+ "## Results for Leave-One-Out cross-validation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 287,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/"
+ },
+ "id": "qDhu4opp5952",
+ "outputId": "9b767be0-c729-4399-9d8c-609b30ba193c"
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "metal Cd_c-index Pb_c-index c_total_c-index\n",
+ "k-value \n",
+ "1 0.921869 0.880549 0.908283\n",
+ "3 0.899591 0.874452 0.914191\n",
+ "5 0.861966 0.854261 0.894101\n",
+ "7 0.814152 0.835533 0.873729\n",
+ "9 0.780849 0.820040 0.864586\n"
+ ]
+ }
+ ],
+ "source": [
+ "loo = LeaveOneOut()\n",
+ "result = []\n",
+ "\n",
+ "for column in outputs.columns:\n",
+ " for i in range(1, 10, 2): \n",
+ " y_true = []\n",
+ " y_pred = []\n",
+ "\n",
+ " for train_ix, test_ix in loo.split(inputs):\n",
+ " \n",
+ " X_train = inputs.loc[train_ix]\n",
+ " y_train = outputs[column].loc[train_ix]\n",
+ " X_test = inputs.loc[test_ix]\n",
+ " y_test = outputs[column].loc[test_ix].values\n",
+ "\n",
+ " neigh = KNeighborsRegressor(n_neighbors=i)\n",
+ " neigh.fit(X_train, y_train)\n",
+ "\n",
+ " predictions_y = neigh.predict(X_test)\n",
+ "\n",
+ " y_true.extend(y_test)\n",
+ " y_pred.extend(predictions_y)\n",
+ "\n",
+ " # C-indexes for current column\n",
+ " c_index = cindex(y_true, y_pred)\n",
+ "\n",
+ " result.append([i, column, c_index])\n",
+ "\n",
+ "result_looc = pd.DataFrame(result, columns=['k-value', 'metal', 'c-index'])\n",
+ "\n",
+ "# Pivot the table to get k-value and concentrations as columns\n",
+ "result_looc = result_looc.pivot_table(index='k-value', columns='metal', values='c-index', fill_value=0)\n",
+ "result_looc.columns = result_looc.columns.map('{}_c-index'.format)\n",
+ "\n",
+ "print(result_looc)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "jHYSild35956"
+ },
+ "source": [
+ "## Results for Leave-Replicas-Out cross-validation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 288,
+ "metadata": {
+ "id": "l3hqFjIW5957"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
+ " .dataframe tbody tr th:only-of-type {\n",
+ " vertical-align: middle;\n",
+ " }\n",
+ "\n",
+ " .dataframe tbody tr th {\n",
+ " vertical-align: top;\n",
+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th>metal</th>\n",
+ " <th>Cd_c-index</th>\n",
+ " <th>Pb_c-index</th>\n",
+ " <th>c_total_c-index</th>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>k-value</th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>0.778427</td>\n",
+ " <td>0.737775</td>\n",
+ " <td>0.818413</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>0.761452</td>\n",
+ " <td>0.768948</td>\n",
+ " <td>0.818673</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>5</th>\n",
+ " <td>0.739717</td>\n",
+ " <td>0.747839</td>\n",
+ " <td>0.811702</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>7</th>\n",
+ " <td>0.715309</td>\n",
+ " <td>0.761849</td>\n",
+ " <td>0.816371</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>9</th>\n",
+ " <td>0.705725</td>\n",
+ " <td>0.764668</td>\n",
+ " <td>0.826601</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ "metal Cd_c-index Pb_c-index c_total_c-index\n",
+ "k-value \n",
+ "1 0.778427 0.737775 0.818413\n",
+ "3 0.761452 0.768948 0.818673\n",
+ "5 0.739717 0.747839 0.811702\n",
+ "7 0.715309 0.761849 0.816371\n",
+ "9 0.705725 0.764668 0.826601"
+ ]
+ },
+ "execution_count": 288,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Create groups based on identical output rows\n",
+ "groups = outputs.apply(lambda row: hash(tuple(row)), axis=1)\n",
+ "\n",
+ "logo = LeaveOneGroupOut()\n",
+ "\n",
+ "result_g = []\n",
+ "for column in outputs.columns: \n",
+ " for i in range(1,10,2):\n",
+ "\n",
+ " y_true = []\n",
+ " y_pred = []\n",
+ " \n",
+ " for train_ix, test_ix in logo.split(inputs, groups=groups):\n",
+ " \n",
+ " X_train = inputs.iloc[train_ix]\n",
+ " y_train = outputs[column].iloc[train_ix]\n",
+ " X_test = inputs.iloc[test_ix]\n",
+ " y_test = outputs[column].iloc[test_ix].values\n",
+ " \n",
+ " neigh = KNeighborsRegressor(n_neighbors=i)\n",
+ " neigh.fit(X_train, y_train)\n",
+ " \n",
+ " predictions_y = neigh.predict(X_test)\n",
+ " \n",
+ " y_true.extend(y_test)\n",
+ " y_pred.extend(predictions_y)\n",
+ "\n",
+ " # C-indexes for current column\n",
+ " c_index = cindex(y_true, y_pred)\n",
+ " #print(f'c-index for {column}: {c_index}')\n",
+ " result_g.append([i, column, c_index])\n",
+ "\n",
+ "result_logo = pd.DataFrame(result_g, columns=['k-value', 'metal', 'c-index'])\n",
+ "\n",
+ "# Pivot the table to get k-value and concentrations as columns\n",
+ "result_logo = result_logo.pivot_table(index='k-value', columns='metal', values='c-index', fill_value=0)\n",
+ "result_logo.columns = result_logo.columns.map('{}_c-index'.format)\n",
+ "result_logo.head(10)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "TegUfy215958"
+ },
+ "source": [
+ "## Plot Leave-One-Out and Leave-Replicas-Out Results"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "E7q5esph5958"
+ },
+ "source": [
+ "Note: You may plot the results as they were presented in the video lecture (refer to MOOC2-Module 2 .pptx slides)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 289,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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J28rmOSkftqWVW8mLsA0AALQWVquldKimXZKrqatTK4RoQDMR5LCpX4co9esQ5SsrcXu0KSVL3yWna+32g1qzPV0Hcov0bXK6vk1Ol5Z5V17pnRDhDdW6xOiEpGjFhTfRLN8AgEqaU9gWVxaylQvb2oa51Dbc1eDfLgMAABxt+GsJaMbsNqsvWPvbCO8HrN/352rt9nR9l+wN1Xak5+nnPd5eay+u2i5J6hIbosFdYjSkS4wGd4lWUptQFiwAgGauqcO2EKdNbUoDtbJgzfc4vOyxU23C6N0GAABaJ0I0oAWxWA7NsTbxhE6SpL1ZBVqzPV1rktO1ZvtBbU7N0vYDedp+IE9vr9slyTt89IQu0b5grXdCuOw25lUDgJaoLmFbVkGJ9mX7h217S0O2shBuX3Zh6Upebu1Iz9OO9LyAdYgIspcL1soFbWEutSn9GRfuUkyok/YGAAAcNQjRgBYuPiJIY/slamw/78IFWQXFWvfHQa3dnq41yQe1fleG9ucU6pOfUvXJT6mSpFCnTYM6R/uGgA7oGKVgJ70KAOBoYrFYFBnsUGRwzWGbJOUWlmhfdqH253hDtX2lP32Psw+VF7tNae+2Em3blxugDlJMiLPKkK1iCBcV7GA1agAA0KwRogFHmYggh07rGafTesZJkgpL3Nq4K1PflfZWW/vHQWUXlPitAuqwWdS3fWTp8M8YDe4crehQZ1PeBgDgCCpbcatLm9Aa9zPGKCu/RPtyvL3ZvEFbkV/Itr/054GcQnmMdCC3SAdyi/RLanaN57ZbLb5ArU1YzcFbmMvONAUAAOCII0QDjnIuu80bjHWJkU71LiP8695s7xDQ7Qe1JjldqVkF+mFHhn7YkaGnv/xdktQ9LkwnJB2aV61DdEjT3ggAoMlZLBZFhjgUGRK4d5vbY5SeW+Tfm62qHm45hcrIK1aJxyg1q0CpWQUB6+GyWwP2bosr/Z352wAAQEMhRANaGavVot4JEeqdEKHJw7rIGKNdB/NLQ7V0fZecrm37crU1LUdb03L02rc7JEmJkUE6ISnGN69a97gwht0AAKpls1p8oVbvhJr3LSrx6EDuoWCt6uDN2+Mtp7BEhSUe7TqYr10H8wPWI9xlrxSy+fV2CwtS23CXYsOccjB/GwAAqAEhGtDKWSwWdYwJUceYEP15UAdJ0oGcQq0tnVftu+0H9fPuTO3JLND/1u/R/9bvkSRFBjs0uHO0TkiK0QldonVc+yg57Xz4AADUndNuVUJksBIigwPum1dUov3ZRb5wrab524pKPMouLFF2YYmS99c8f5skRYc4/Odqq2LutrbhLkWHOGXjiyQAAFodQjQAlcSGuXRWn3Y6q087Sd4PLOt3ZHjnVdueru//yFBmfrG++CVNX/ySJsk7tGZAxyjvYgVJMRrUKUrhQY6mvA0AwFEoxGlXp1i7OsXWPM2AMUbZpQsmVBey7S/Xy83tMTqYV6yDecXasjenxnNbLVJUiFPRIQ5FhzgVHepUTIhTUaEOxZQ+jg5xKibUoagQ73ORLJwAAECLR4gGIKAQp10ndWujk7q1kSQVuz3atCfLN/xz7R8HlZ5bpG+T0/Vtcrq0zPsBo3dChE7oEqMhSd551eLCg5r4TgAArYXFYlFEkEMRQQ51bRtW474ej9HBvKJDiyTkFFReNKE0eEvPLZLHSOm5RUrPLZIUuIeb5G0XI4MdhwK30pDNF7j5wrdD+0QEO+jxBgBAM0KIBqDOHDar+neMUv+OUfrbiGNkjNG2fbmlwz+9vdV2pufr5z1Z+nlPll5ctV2S1CU2xDen2glJMeoSG8LqagCAJme1WhQb5lJsmEs929W8YEKx26P03CIdzCvSwdxiHczzhmkZeUVKL33sfa5I6XlFysgtVnZhiTxGvp5uv9cyeLNYpKjgQ73dokt7v8WElgvcQpyKCS0L5bw93gjeAABoHIRoAA6bxWJRt7gwdYsL06QhnSRJqZkFvsUK1mw/qF9Ss7T9QJ62H8jT2+t2SZLahLl0Qpdo7xDQLjHqnRAuO5M6AwCaMYfNqviIIMVH1L53dVGJRxl5RTqYV3wocCsN2g7mFfsCt7LfD+YWKbuwRKZc8KZazOkmeYO3yGCHf882v6DN4QvcykK5KOZ4AwA0V+4SqShbKsyRinJKf9bw+Li/SB2HNFp1CNEANIp2kUEa1z9R4/onSpIy84v1/R8HfcHahp2Z2p9TqE9+StUnP6VKkkKdNg3qfChUG9AxSsFOW1PeBgAAh81ptyouIkhxdQ3e8g/1dvMFbqU93w71disu7QVXpOwCb/CWkVesjHoEb+V7ulUM2srP8xZdOscbX3wBACrxeLxhVvmAqyi3XOiVXe65qh5XCMVKCup2/bjehGgAWr7IYIdO6xWn03rFSZIKit3auDtT3yV7Q7V12w8qu7BEK7fu18qt+yVJDptFfdtHakiXGA3uEqPBnaMVHepsytsAAOCIcNqtigsPqtN8osVujzLyqhliWja8tLQ3XFlZVoXgLbkOdYwMLgvcHFXO6VYWxJX1fosieAOA5scYqTi/lgFXgMCrMEcqrt0XOHVmc0rOMMkVJjnDS39W8bhd/8a5filCNABNIshh8/U4kyS3x+jX1OxyQ0DTtTerUD/syNAPOzL09Je/S5K6x4XphKRD86q1jwpuytsAAKDZcNisahvuUttwV62PKQveMsr3cCs/7LTiPG+lwZvk7WWemV9cpzounTlSxwRY6AGNbNc6KeUH7+/GVL2PX7lpIeUVn6uu/DCuYbFKdpfkCJbsQaU/XZI9WHIEVfEz6NB+NlatRwMqKaoi1Ao05LG6ECxHMu6Gr6PFWkXYFSa5wis8DhCKle1vbx6dKQjRADQLNqtFxyZG6NjECF12UhcZY7QzPd8XqH23PV2/78vV1rQcbU3L0Wvf7pAkJUYG6YSkGN+CBd3jwmRlXhcAAGqlPsFbidujjPxi3xDTQ+FbWdBW7Jv3raznW1nYFh3SPD4EtWpbPpG+fLipa9H6WGyHwjd7UOWwrS6BXPmflc5Vbn+Cu4ZljOQpkdxFpVtxuZ/FVZTX8Hu15yktKyny9uiqLhRzFzXOPTrrGXg5Qysf4wj2zhdwlCFEA9AsWSwWdYoNUafYEF1wfAdJ0oGcQq3Z7p1Xbe32dP20J0t7Mgv0v/V79L/1eyR5h5b07xilHnFh6hEfrm7x3gUPIoL4IwIAgIZgt1nVJsylNmF1C94y84sVFUJ73OTa9pJ6/+nQY78PuZZmXK5qyqvZvzHq5HFLJYVSSb5UXFDuZ+lWnO//s/xcTsZ9aJ6oI6V8cOf7Wc9Arrb72+oYMRhTi9CpWPJUUx7ouDqFW+WvU82+zY09qIZwq6oQrIbHjlDJypD7QAjRALQYsWEund23nc7u206SlFtYoh92ZPh6q/2wI0OZ+cX6css+fblln9+x7SKC1D0+TN3jwkt/en+P5I95AAAand1mVWwdQjc0ouMu9G5ofMZUE7rle8srhm7F+RX2rxDIVTxHVQFeUwd3Vrs3TCs/7NViqT7c8tRtSHizY3OWbo4qfi/9aXVU83xVv5c71hnm7eFVUw+wuoaWOGxN/orPmzdPDz/8sFJSUtSnTx899thjGjFiRLX7v/rqq3rooYe0detWRUZG6uyzz9Yjjzyi2NjYI1hrAM1BqMuuk7u30cnd20jyzuvy854s/bwnU1v35ui3tBxtTcvW3qxCpWYVKDWrwLdoQZm4cFeFcC1c3ePCWMDgKENbAwBoTLQzqJLF4u2h5QiSjtQ0vsYECN2qC/AC9KirKcArH9x5SkpXY8yu5w1YvAFctSFUbcIoe/WBVlW/W+ty7nJ1sdqPyuGKqJnFmOpmk2x8b775pi699FLNmzdPw4cP19NPP63nnntOmzZtUqdOnSrt/9VXX2nkyJH617/+pXHjxmn37t2aNm2aunfvrvfee69W18zKylJkZKQyMzMVERHR0LcEoBnKzCvWb/uytXWvdz61LXuz9VtajlIyq18uuU2Y06/XWre4cPWID+Nb9Co09/dV2hoAaPma8/sq7QxaPY9HclcM5sr1qJOqCLSqCamstqa9F7RatX1fbdIQbejQoRo0aJDmz5/vK+vdu7fGjx+vuXPnVtr/kUce0fz587Vt2zZf2RNPPKGHHnpIO3furNU1aXAAlMkuKPb2Vtvr7bG2tfT33Rn51R4TE+pUtzhvsNYj3ttrrVt8mNqGuWRppd9ENff3VdoaAGj5mvP7Ku0MALR8tX1fbbLhnEVFRVq3bp1uu+02v/IzzzxTq1atqvKYk046SXfeeacWLVqkc845R2lpaXr77bd17rnnHokqAzjKhAc5NLBTtAZ2ivYrzyks0bbSVUC3pmXrt7052pKWrZ3p+UrPLdJ3yen6Ljnd75jIYId6xHt7rHWPC1P3eG/IFhfeesO15oC2BgDQmGhnAKB1abIQbf/+/XK73YqPj/crj4+PV2pqapXHnHTSSXr11Vc1ceJEFRQUqKSkRH/605/0xBNPVHudwsJCFRYW+h5nZWU1zA0AOGqFuezq3zFK/TtG+ZXnFZXo93252pqWrS17c0rnXcvWH+l5yswvLl059KDfMeFBdt8iBt3jw9S9tPdaQmQQ4doRQFsDAGhMtDMA0Lo0+cICFT9EGmOq/WC5adMm3XDDDZo1a5bOOusspaSk6B//+IemTZum559/vspj5s6dq3vvvbfB6w2g9Qlx2tW3faT6to/0Ky8odmvbvhz/oaF7c7T9QK6yC0r0/Y4Mfb8jw++YMJfdNyy0/MIGiZHBsloJ1xoabQ0AoDHRzgBA69Bkc6IVFRUpJCREb731ls4//3xf+Y033qj169drxYoVlY659NJLVVBQoLfeestX9tVXX2nEiBHas2ePEhISKh1T1bc2HTt2ZP4AAI2usMSt5P25vgUNtu71zru2fX+uSjxVv/WGOG3qFhembuXmXOseF64O0c03XGvO87LQ1gDA0aG5tjW0MwBwdGj2c6I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+ "text/plain": [
+ "<Figure size 1500x500 with 3 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots(1,3, sharey=False, sharex=False, figsize=(15,5))\n",
+ "for i in range(0,3):\n",
+ " cols = result_looc.columns.values.tolist()\n",
+ " ax[i].plot(result_looc[cols[i]], label = 'Leave-one-out')\n",
+ " ax[i].plot(result_logo[cols[i]], label = 'Leave-replicas-out')\n",
+ " ax[i].set(xlabel='K-value')\n",
+ " ax[i].set(ylabel='C-index')\n",
+ " ax[i].set_title(cols[i])\n",
+ " ax[i].set_ylim(0, 1.0)\n",
+ "plt.legend(loc = 'lower right')\n",
+ "\n",
+ "fig.suptitle('C-index for K Nearest Neighbors')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "8UyedAH0595-"
+ },
+ "source": [
+ "## Interpretation of results\n",
+ "#### Answer the following questions based on the results obtained\n",
+ "1. Which cross-validation approach produced more optimistic results, and why?\n",
+ "2. Which cross-validation method provides a better estimate of the model's performance on unseen mixtures? Explain your answer."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "sSqIbqRU595_"
+ },
+ "source": [
+ "#### Answers:\n",
+ "\n",
+ "1. Leave-one-out produces more optimistic results, because the nearest neighbors in training are replicas.\n",
+ "2. Leave-one-group-out produces a better estimate, since unseen mixtures cannot be expected to be replicas of mixtures used in training data."
+ ]
+ }
+ ],
+ "metadata": {
+ "colab": {
+ "provenance": []
+ },
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.13.1"
+ },
+ "toc": {
+ "base_numbering": 1,
+ "nav_menu": {},
+ "number_sections": false,
+ "sideBar": true,
+ "skip_h1_title": false,
+ "title_cell": "Table of Contents",
+ "title_sidebar": "Contents",
+ "toc_cell": false,
+ "toc_position": {},
+ "toc_section_display": true,
+ "toc_window_display": true
+ },
+ "varInspector": {
+ "cols": {
+ "lenName": 16,
+ "lenType": 16,
+ "lenVar": 40
+ },
+ "kernels_config": {
+ "python": {
+ "delete_cmd_postfix": "",
+ "delete_cmd_prefix": "del ",
+ "library": "var_list.py",
+ "varRefreshCmd": "print(var_dic_list())"
+ },
+ "r": {
+ "delete_cmd_postfix": ") ",
+ "delete_cmd_prefix": "rm(",
+ "library": "var_list.r",
+ "varRefreshCmd": "cat(var_dic_list()) "
+ }
+ },
+ "types_to_exclude": [
+ "module",
+ "function",
+ "builtin_function_or_method",
+ "instance",
+ "_Feature"
+ ],
+ "window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM_Exercise1_template-checkpoint.ipynb b/evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM_Exercise1_template-checkpoint.ipynb
new file mode 100644
index 000000000..c37835036
--- /dev/null
+++ b/evaluation_of_machine_learning_methods/.ipynb_checkpoints/EMLM_Exercise1_template-checkpoint.ipynb
@@ -0,0 +1,660 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "YW9ClVnn595R"
+ },
+ "source": [
+ "Iida Pyykkönen <br>\n",
+ "526289 <br>\n",
+ "02, 03, 2025 <br>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "NaLBCv9h595Z"
+ },
+ "source": [
+ "# Exercise 1 | TKO_7092 Evaluation of Machine Learning Methods 2025"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "KZ5sdJ1t595c"
+ },
+ "source": [
+ "##### Prediction of the metal ion content from multi-parameter data\n",
+ "<b> Use K-Nearest Neighbor Regression with euclidean distance to predict total metal concentration (c_total), concentration of Cadmium (Cd) and concentration of Lead (Pb), using number of neighbors k = 1, 3, 5, 7.</b>\n",
+ "\n",
+ " - You may use Nearest Neighbor Regression from https://scikit-learn.org/stable/modules/neighbors.html \n",
+ " - Implement Leave-One-Out cross-validation and calculate the C-index for each output (c_total, Cd, Pb).\n",
+ " - Implement Leave-Replicas-Out cross-validation and calculate the C-index for each output (c_total, Cd, Pb).\n",
+ " - Return your solution as a Jupyter Notebook .ipynb notebook and as a PDF-file made from it. Please, add your full name to the file name.\n",
+ " - The exercise will be graded by a maximum of 2 points.\n",
+ " - Submit to moodle your solution on ** Wednesday 5 of February ** at the latest.\n",
+ " \n",
+ "<b>Please be aware that you are required to submit your individual solution.<br>\n",
+ "Submissions with identical or similar code will result in a failure for the exercise.</b>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "IpFCme-M595g"
+ },
+ "source": [
+ "## Import libraries"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 247,
+ "metadata": {
+ "id": "T5XhIYzV595j",
+ "tags": []
+ },
+ "outputs": [],
+ "source": [
+ "# In this cell import all libraries you need. For example:\n",
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "from scipy.stats import somersd\n",
+ "from sklearn.neighbors import KNeighborsRegressor\n",
+ "from sklearn.metrics import make_scorer\n",
+ "from sklearn.model_selection import cross_val_score, LeaveOneOut, LeaveOneGroupOut\n",
+ "from sklearn.datasets import make_regression\n",
+ "from itertools import chain\n",
+ "import matplotlib.pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "cTTvsJ4V595m"
+ },
+ "source": [
+ "## Read and visualize the dataset"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "tGWq753R595o",
+ "jp-MarkdownHeadingCollapsed": true
+ },
+ "source": [
+ "<p> <b>Note:</b> This dataset differs slightly from the one used in the video lectures. <br>\n",
+ "<b>In this dataset, some mixtures have 3 replicas, while others have 4 replicas. </b> </p>\n",
+ "\n",
+ "In the following cell:\n",
+ "- Read the file water_data.csv\n",
+ "- Print the dimesions of the dataset (i.e. number of rows and columns) and display the first 5 rows.\n",
+ "- Identify the inputs and the outputs columns.\n",
+ "- Provide the number of mixtures with 3 replicas and 4 replicas, respectively."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 248,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 225
+ },
+ "id": "KFjZRq5f595o",
+ "outputId": "2dbbfdba-9732-4cd0-921e-9fb6bccc2f4a",
+ "tags": []
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Data dimensions: (225, 6)\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
+ " .dataframe tbody tr th:only-of-type {\n",
+ " vertical-align: middle;\n",
+ " }\n",
+ "\n",
+ " .dataframe tbody tr th {\n",
+ " vertical-align: top;\n",
+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>c_total</th>\n",
+ " <th>Cd</th>\n",
+ " <th>Pb</th>\n",
+ " <th>Mod1</th>\n",
+ " <th>Mod2</th>\n",
+ " <th>Mod3</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>-0.999216</td>\n",
+ " <td>-0.714208</td>\n",
+ " <td>-0.414911</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>-0.990800</td>\n",
+ " <td>-0.714373</td>\n",
+ " <td>-0.238335</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>-0.990539</td>\n",
+ " <td>-0.714125</td>\n",
+ " <td>0.020788</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>14.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>14.0</td>\n",
+ " <td>-1.001247</td>\n",
+ " <td>-0.713546</td>\n",
+ " <td>0.945465</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>14.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>14.0</td>\n",
+ " <td>-1.013727</td>\n",
+ " <td>-0.714125</td>\n",
+ " <td>0.569631</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " c_total Cd Pb Mod1 Mod2 Mod3\n",
+ "0 0.0 0.0 0.0 -0.999216 -0.714208 -0.414911\n",
+ "1 0.0 0.0 0.0 -0.990800 -0.714373 -0.238335\n",
+ "2 0.0 0.0 0.0 -0.990539 -0.714125 0.020788\n",
+ "3 14.0 0.0 14.0 -1.001247 -0.713546 0.945465\n",
+ "4 14.0 0.0 14.0 -1.013727 -0.714125 0.569631"
+ ]
+ },
+ "execution_count": 248,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv('water_data.csv')\n",
+ "print('Data dimensions:',df.shape)\n",
+ "df.head(5)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 249,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 178
+ },
+ "id": "ojiLT4lS595s",
+ "outputId": "00e6c5a8-f5bf-425b-eacb-339f8fd24a1d"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "size\n",
+ "3 43\n",
+ "4 24\n",
+ "Name: count, dtype: int64"
+ ]
+ },
+ "execution_count": 249,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "trimmed_df = df[['Cd', 'Pb']]\n",
+ "temp_df = trimmed_df.groupby(trimmed_df.columns.tolist(),as_index=False).size()\n",
+ "temp_df['size'].value_counts()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "kbwaulak595v"
+ },
+ "source": [
+ "Columns 0-2 are outputs and 3-5 are inputs.\n",
+ "There are 43 mixtures with 3 replicas and 24 with 4 replicas."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "QqwgcBkg595x"
+ },
+ "source": [
+ "## C-index code"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 250,
+ "metadata": {
+ "id": "_IV102IH595y"
+ },
+ "outputs": [],
+ "source": [
+ "# In this cell is the fuction that computes the c-index value based on Somers'D statistic.\n",
+ "# Use this fuction as the evaluation metric in the Leave-One-Out (LOOCV) and Leave-Replicas-Out (LROCV) cross-validation methods.\n",
+ "\n",
+ "def cindex(true, pred):\n",
+ " s_d = somersd(true, y=pred, alternative='two-sided')\n",
+ " c_index = (s_d.statistic + 1.0)/2.0\n",
+ " return c_index"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "-Ynfkfpj595z"
+ },
+ "source": [
+ "## Functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 252,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "inputs = df[['Mod1', 'Mod2', 'Mod3']]\n",
+ "outputs = df[['c_total', 'Cd', 'Pb']]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "KgU8M_JZ5951"
+ },
+ "source": [
+ "## Results for Leave-One-Out cross-validation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 254,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/"
+ },
+ "id": "qDhu4opp5952",
+ "outputId": "9b767be0-c729-4399-9d8c-609b30ba193c"
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "comp Cd_c-index Pb_c-index c_total_c-index\n",
+ "k-value \n",
+ "1 0.921869 0.880549 0.908283\n",
+ "3 0.899591 0.874452 0.914191\n",
+ "5 0.861966 0.854261 0.894101\n",
+ "7 0.814152 0.835533 0.873729\n",
+ "9 0.780849 0.820040 0.864586\n"
+ ]
+ }
+ ],
+ "source": [
+ "loo = LeaveOneOut()\n",
+ "result = []\n",
+ "\n",
+ "for i in range(1, 10, 2): \n",
+ " for column in outputs.columns:\n",
+ " y_true = []\n",
+ " y_pred = []\n",
+ "\n",
+ " for train_ix, test_ix in loo.split(inputs):\n",
+ " \n",
+ " X_train = inputs.loc[train_ix]\n",
+ " y_train = outputs[column].loc[train_ix]\n",
+ " X_test = inputs.loc[test_ix]\n",
+ " y_test = outputs[column].loc[test_ix].values\n",
+ "\n",
+ " neigh = KNeighborsRegressor(n_neighbors=i)\n",
+ " neigh.fit(X_train, y_train)\n",
+ "\n",
+ " predictions_y = neigh.predict(X_test)\n",
+ "\n",
+ " # Store true and predicted values\n",
+ " y_true.extend(y_test)\n",
+ " y_pred.extend(predictions_y)\n",
+ "\n",
+ " # Calculate c-index for the current column and k-value\n",
+ " flat_y_true = np.array(y_true)\n",
+ " flat_y_pred = np.array(y_pred)\n",
+ " c_index = cindex(flat_y_true, flat_y_pred)\n",
+ "\n",
+ " result.append([i, column, c_index])\n",
+ "\n",
+ "result_looc = pd.DataFrame(result, columns=['k-value', 'comp', 'c-index'])\n",
+ "\n",
+ "# Pivot the table to get k-value and concentrations as columns\n",
+ "looc_out = result_looc.pivot_table(index='k-value', columns='comp', values='c-index', fill_value=0)\n",
+ "looc_out.columns = looc_out.columns.map('{}_c-index'.format)\n",
+ "\n",
+ "print(looc_out)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "jHYSild35956"
+ },
+ "source": [
+ "## Results for Leave-Replicas-Out cross-validation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 255,
+ "metadata": {
+ "id": "l3hqFjIW5957"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
+ " .dataframe tbody tr th:only-of-type {\n",
+ " vertical-align: middle;\n",
+ " }\n",
+ "\n",
+ " .dataframe tbody tr th {\n",
+ " vertical-align: top;\n",
+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th>comp</th>\n",
+ " <th>Cd_c-index</th>\n",
+ " <th>Pb_c-index</th>\n",
+ " <th>c_total_c-index</th>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>k-value</th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>0.778427</td>\n",
+ " <td>0.737775</td>\n",
+ " <td>0.818413</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>0.761452</td>\n",
+ " <td>0.768948</td>\n",
+ " <td>0.818673</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>5</th>\n",
+ " <td>0.739717</td>\n",
+ " <td>0.747839</td>\n",
+ " <td>0.811702</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>7</th>\n",
+ " <td>0.715309</td>\n",
+ " <td>0.761849</td>\n",
+ " <td>0.816371</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>9</th>\n",
+ " <td>0.705725</td>\n",
+ " <td>0.764668</td>\n",
+ " <td>0.826601</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ "comp Cd_c-index Pb_c-index c_total_c-index\n",
+ "k-value \n",
+ "1 0.778427 0.737775 0.818413\n",
+ "3 0.761452 0.768948 0.818673\n",
+ "5 0.739717 0.747839 0.811702\n",
+ "7 0.715309 0.761849 0.816371\n",
+ "9 0.705725 0.764668 0.826601"
+ ]
+ },
+ "execution_count": 255,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Create groups based on identical output rows\n",
+ "groups = outputs.apply(lambda row: hash(tuple(row)), axis=1)\n",
+ "\n",
+ "logo = LeaveOneGroupOut()\n",
+ "\n",
+ "result_g = []\n",
+ "for column in outputs.columns: \n",
+ " for i in range(1,10,2):\n",
+ "\n",
+ " y_true = []\n",
+ " y_pred = []\n",
+ " \n",
+ " for train_ix, test_ix in logo.split(inputs, groups=groups):\n",
+ " \n",
+ " X_train = inputs.iloc[train_ix]\n",
+ " y_train = outputs[column].iloc[train_ix]\n",
+ " X_test = inputs.iloc[test_ix]\n",
+ " y_test = outputs[column].iloc[test_ix].values\n",
+ " \n",
+ " neigh = KNeighborsRegressor(n_neighbors=i)\n",
+ " neigh.fit(X_train, y_train)\n",
+ " \n",
+ " predictions_y = neigh.predict(X_test)\n",
+ " \n",
+ " y_true.extend(y_test)\n",
+ " y_pred.extend(predictions_y)\n",
+ " \n",
+ " flat_y_true = np.array(y_true)\n",
+ " flat_y_pred = np.array(y_pred)\n",
+ " \n",
+ " c_index = cindex(flat_y_true, flat_y_pred)\n",
+ " #print(f'c-index for {column}: {c_index}')\n",
+ " result_g.append([i, column, c_index])\n",
+ "\n",
+ "result_logo = pd.DataFrame(result_g, columns=['k-value', 'comp', 'c-index'])\n",
+ "logo_out = result_logo.pivot_table(index='k-value', columns='comp', values='c-index', fill_value=0)\n",
+ "logo_out.columns = logo_out.columns.map('{}_c-index'.format)\n",
+ "logo_out.head(10)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "TegUfy215958"
+ },
+ "source": [
+ "## Plot Leave-One-Out and Leave-Replicas-Out Results"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "E7q5esph5958"
+ },
+ "source": [
+ "Note: You may plot the results as they were presented in the video lecture (refer to MOOC2-Module 2 .pptx slides)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 256,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<Figure size 1500x500 with 3 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots(1,3, sharey=False, sharex=False, figsize=(15,5))\n",
+ "for i in range(0,3):\n",
+ " cols = looc_out.columns.values.tolist()\n",
+ " ax[i].plot(looc_out[cols[i]], label = 'Leave-one-out')\n",
+ " ax[i].plot(logo_out[cols[i]], label = 'Leave-replicas-out')\n",
+ " ax[i].set(xlabel='K-value')\n",
+ " ax[i].set(ylabel='C-index')\n",
+ " ax[i].set_title(cols[i])\n",
+ " ax[i].set_ylim(0, 1.0)\n",
+ "plt.legend(loc = 'lower right')\n",
+ "\n",
+ "fig.suptitle('C-index for K Nearest Neighbors')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "8UyedAH0595-"
+ },
+ "source": [
+ "## Interpretation of results\n",
+ "#### Answer the following questions based on the results obtained\n",
+ "1. Which cross-validation approach produced more optimistic results, and why?\n",
+ "2. Which cross-validation method provides a better estimate of the model's performance on unseen mixtures? Explain your answer."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "sSqIbqRU595_"
+ },
+ "source": [
+ "#### Answers:\n",
+ "\n",
+ "1. Leave-one-out produces more optimistic results, because the nearest neighbors in training are replicas.\n",
+ "2. Leave-one-group-out produces a better estimate, since unseen mixtures cannot be expected to be replicas of mixtures used in training data."
+ ]
+ }
+ ],
+ "metadata": {
+ "colab": {
+ "provenance": []
+ },
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.13.1"
+ },
+ "toc": {
+ "base_numbering": 1,
+ "nav_menu": {},
+ "number_sections": false,
+ "sideBar": true,
+ "skip_h1_title": false,
+ "title_cell": "Table of Contents",
+ "title_sidebar": "Contents",
+ "toc_cell": false,
+ "toc_position": {},
+ "toc_section_display": true,
+ "toc_window_display": true
+ },
+ "varInspector": {
+ "cols": {
+ "lenName": 16,
+ "lenType": 16,
+ "lenVar": 40
+ },
+ "kernels_config": {
+ "python": {
+ "delete_cmd_postfix": "",
+ "delete_cmd_prefix": "del ",
+ "library": "var_list.py",
+ "varRefreshCmd": "print(var_dic_list())"
+ },
+ "r": {
+ "delete_cmd_postfix": ") ",
+ "delete_cmd_prefix": "rm(",
+ "library": "var_list.r",
+ "varRefreshCmd": "cat(var_dic_list()) "
+ }
+ },
+ "types_to_exclude": [
+ "module",
+ "function",
+ "builtin_function_or_method",
+ "instance",
+ "_Feature"
+ ],
+ "window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/evaluation_of_machine_learning_methods/.~lock.input.csv# b/evaluation_of_machine_learning_methods/.~lock.input.csv#
new file mode 100644
index 000000000..18d9dee4b
--- /dev/null
+++ b/evaluation_of_machine_learning_methods/.~lock.input.csv#
@@ -0,0 +1 @@
+,iida,thegunslinger,10.02.2025 19:11,file:///home/iida/.config/libreoffice/4;
\ No newline at end of file
diff --git a/evaluation_of_machine_learning_methods/1/EMLM_Exercise1_Pyykkonen.ipynb b/evaluation_of_machine_learning_methods/1/EMLM_Exercise1_Pyykkonen.ipynb
new file mode 100644
index 000000000..e3e956084
--- /dev/null
+++ b/evaluation_of_machine_learning_methods/1/EMLM_Exercise1_Pyykkonen.ipynb
@@ -0,0 +1,655 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "YW9ClVnn595R"
+ },
+ "source": [
+ "Iida Pyykkönen <br>\n",
+ "526289 <br>\n",
+ "02, 03, 2025 <br>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "NaLBCv9h595Z"
+ },
+ "source": [
+ "# Exercise 1 | TKO_7092 Evaluation of Machine Learning Methods 2025"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "KZ5sdJ1t595c"
+ },
+ "source": [
+ "##### Prediction of the metal ion content from multi-parameter data\n",
+ "<b> Use K-Nearest Neighbor Regression with euclidean distance to predict total metal concentration (c_total), concentration of Cadmium (Cd) and concentration of Lead (Pb), using number of neighbors k = 1, 3, 5, 7.</b>\n",
+ "\n",
+ " - You may use Nearest Neighbor Regression from https://scikit-learn.org/stable/modules/neighbors.html \n",
+ " - Implement Leave-One-Out cross-validation and calculate the C-index for each output (c_total, Cd, Pb).\n",
+ " - Implement Leave-Replicas-Out cross-validation and calculate the C-index for each output (c_total, Cd, Pb).\n",
+ " - Return your solution as a Jupyter Notebook .ipynb notebook and as a PDF-file made from it. Please, add your full name to the file name.\n",
+ " - The exercise will be graded by a maximum of 2 points.\n",
+ " - Submit to moodle your solution on ** Wednesday 5 of February ** at the latest.\n",
+ " \n",
+ "<b>Please be aware that you are required to submit your individual solution.<br>\n",
+ "Submissions with identical or similar code will result in a failure for the exercise.</b>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "IpFCme-M595g"
+ },
+ "source": [
+ "## Import libraries"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 282,
+ "metadata": {
+ "id": "T5XhIYzV595j",
+ "tags": []
+ },
+ "outputs": [],
+ "source": [
+ "# In this cell import all libraries you need. For example:\n",
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "from scipy.stats import somersd\n",
+ "from sklearn.neighbors import KNeighborsRegressor\n",
+ "from sklearn.metrics import make_scorer\n",
+ "from sklearn.model_selection import cross_val_score, LeaveOneOut, LeaveOneGroupOut\n",
+ "import matplotlib.pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "cTTvsJ4V595m"
+ },
+ "source": [
+ "## Read and visualize the dataset"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "tGWq753R595o",
+ "jp-MarkdownHeadingCollapsed": true
+ },
+ "source": [
+ "<p> <b>Note:</b> This dataset differs slightly from the one used in the video lectures. <br>\n",
+ "<b>In this dataset, some mixtures have 3 replicas, while others have 4 replicas. </b> </p>\n",
+ "\n",
+ "In the following cell:\n",
+ "- Read the file water_data.csv\n",
+ "- Print the dimesions of the dataset (i.e. number of rows and columns) and display the first 5 rows.\n",
+ "- Identify the inputs and the outputs columns.\n",
+ "- Provide the number of mixtures with 3 replicas and 4 replicas, respectively."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 283,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 225
+ },
+ "id": "KFjZRq5f595o",
+ "outputId": "2dbbfdba-9732-4cd0-921e-9fb6bccc2f4a",
+ "tags": []
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Data dimensions: (225, 6)\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
+ " .dataframe tbody tr th:only-of-type {\n",
+ " vertical-align: middle;\n",
+ " }\n",
+ "\n",
+ " .dataframe tbody tr th {\n",
+ " vertical-align: top;\n",
+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>c_total</th>\n",
+ " <th>Cd</th>\n",
+ " <th>Pb</th>\n",
+ " <th>Mod1</th>\n",
+ " <th>Mod2</th>\n",
+ " <th>Mod3</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>-0.999216</td>\n",
+ " <td>-0.714208</td>\n",
+ " <td>-0.414911</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>-0.990800</td>\n",
+ " <td>-0.714373</td>\n",
+ " <td>-0.238335</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>-0.990539</td>\n",
+ " <td>-0.714125</td>\n",
+ " <td>0.020788</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>14.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>14.0</td>\n",
+ " <td>-1.001247</td>\n",
+ " <td>-0.713546</td>\n",
+ " <td>0.945465</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>14.0</td>\n",
+ " <td>0.0</td>\n",
+ " <td>14.0</td>\n",
+ " <td>-1.013727</td>\n",
+ " <td>-0.714125</td>\n",
+ " <td>0.569631</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " c_total Cd Pb Mod1 Mod2 Mod3\n",
+ "0 0.0 0.0 0.0 -0.999216 -0.714208 -0.414911\n",
+ "1 0.0 0.0 0.0 -0.990800 -0.714373 -0.238335\n",
+ "2 0.0 0.0 0.0 -0.990539 -0.714125 0.020788\n",
+ "3 14.0 0.0 14.0 -1.001247 -0.713546 0.945465\n",
+ "4 14.0 0.0 14.0 -1.013727 -0.714125 0.569631"
+ ]
+ },
+ "execution_count": 283,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv('water_data.csv')\n",
+ "print('Data dimensions:',df.shape)\n",
+ "df.head(5)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 284,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 178
+ },
+ "id": "ojiLT4lS595s",
+ "outputId": "00e6c5a8-f5bf-425b-eacb-339f8fd24a1d"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "size\n",
+ "3 43\n",
+ "4 24\n",
+ "Name: count, dtype: int64"
+ ]
+ },
+ "execution_count": 284,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "trimmed_df = df[['Cd', 'Pb']]\n",
+ "temp_df = trimmed_df.groupby(trimmed_df.columns.tolist(),as_index=False).size()\n",
+ "temp_df['size'].value_counts()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "kbwaulak595v"
+ },
+ "source": [
+ "Columns 0-2 are outputs and 3-5 are inputs.\n",
+ "There are 43 mixtures with 3 replicas and 24 with 4 replicas."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "QqwgcBkg595x"
+ },
+ "source": [
+ "## C-index code"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 285,
+ "metadata": {
+ "id": "_IV102IH595y"
+ },
+ "outputs": [],
+ "source": [
+ "# In this cell is the fuction that computes the c-index value based on Somers'D statistic.\n",
+ "# Use this fuction as the evaluation metric in the Leave-One-Out (LOOCV) and Leave-Replicas-Out (LROCV) cross-validation methods.\n",
+ "\n",
+ "def cindex(true, pred):\n",
+ " s_d = somersd(true, y=pred, alternative='two-sided')\n",
+ " c_index = (s_d.statistic + 1.0)/2.0\n",
+ " return c_index"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "-Ynfkfpj595z"
+ },
+ "source": [
+ "## Functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 286,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "inputs = df[['Mod1', 'Mod2', 'Mod3']]\n",
+ "outputs = df[['c_total', 'Cd', 'Pb']]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "KgU8M_JZ5951"
+ },
+ "source": [
+ "## Results for Leave-One-Out cross-validation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 287,
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/"
+ },
+ "id": "qDhu4opp5952",
+ "outputId": "9b767be0-c729-4399-9d8c-609b30ba193c"
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "metal Cd_c-index Pb_c-index c_total_c-index\n",
+ "k-value \n",
+ "1 0.921869 0.880549 0.908283\n",
+ "3 0.899591 0.874452 0.914191\n",
+ "5 0.861966 0.854261 0.894101\n",
+ "7 0.814152 0.835533 0.873729\n",
+ "9 0.780849 0.820040 0.864586\n"
+ ]
+ }
+ ],
+ "source": [
+ "loo = LeaveOneOut()\n",
+ "result = []\n",
+ "\n",
+ "for column in outputs.columns:\n",
+ " for i in range(1, 10, 2): \n",
+ " y_true = []\n",
+ " y_pred = []\n",
+ "\n",
+ " for train_ix, test_ix in loo.split(inputs):\n",
+ " \n",
+ " X_train = inputs.loc[train_ix]\n",
+ " y_train = outputs[column].loc[train_ix]\n",
+ " X_test = inputs.loc[test_ix]\n",
+ " y_test = outputs[column].loc[test_ix].values\n",
+ "\n",
+ " neigh = KNeighborsRegressor(n_neighbors=i)\n",
+ " neigh.fit(X_train, y_train)\n",
+ "\n",
+ " predictions_y = neigh.predict(X_test)\n",
+ "\n",
+ " y_true.extend(y_test)\n",
+ " y_pred.extend(predictions_y)\n",
+ "\n",
+ " # C-indexes for current column\n",
+ " c_index = cindex(y_true, y_pred)\n",
+ "\n",
+ " result.append([i, column, c_index])\n",
+ "\n",
+ "result_looc = pd.DataFrame(result, columns=['k-value', 'metal', 'c-index'])\n",
+ "\n",
+ "# Pivot the table to get k-value and concentrations as columns\n",
+ "result_looc = result_looc.pivot_table(index='k-value', columns='metal', values='c-index', fill_value=0)\n",
+ "result_looc.columns = result_looc.columns.map('{}_c-index'.format)\n",
+ "\n",
+ "print(result_looc)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "jHYSild35956"
+ },
+ "source": [
+ "## Results for Leave-Replicas-Out cross-validation"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 288,
+ "metadata": {
+ "id": "l3hqFjIW5957"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
+ " .dataframe tbody tr th:only-of-type {\n",
+ " vertical-align: middle;\n",
+ " }\n",
+ "\n",
+ " .dataframe tbody tr th {\n",
+ " vertical-align: top;\n",
+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th>metal</th>\n",
+ " <th>Cd_c-index</th>\n",
+ " <th>Pb_c-index</th>\n",
+ " <th>c_total_c-index</th>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>k-value</th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " <th></th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>0.778427</td>\n",
+ " <td>0.737775</td>\n",
+ " <td>0.818413</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>0.761452</td>\n",
+ " <td>0.768948</td>\n",
+ " <td>0.818673</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>5</th>\n",
+ " <td>0.739717</td>\n",
+ " <td>0.747839</td>\n",
+ " <td>0.811702</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>7</th>\n",
+ " <td>0.715309</td>\n",
+ " <td>0.761849</td>\n",
+ " <td>0.816371</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>9</th>\n",
+ " <td>0.705725</td>\n",
+ " <td>0.764668</td>\n",
+ " <td>0.826601</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ "metal Cd_c-index Pb_c-index c_total_c-index\n",
+ "k-value \n",
+ "1 0.778427 0.737775 0.818413\n",
+ "3 0.761452 0.768948 0.818673\n",
+ "5 0.739717 0.747839 0.811702\n",
+ "7 0.715309 0.761849 0.816371\n",
+ "9 0.705725 0.764668 0.826601"
+ ]
+ },
+ "execution_count": 288,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Create groups based on identical output rows\n",
+ "groups = outputs.apply(lambda row: hash(tuple(row)), axis=1)\n",
+ "\n",
+ "logo = LeaveOneGroupOut()\n",
+ "\n",
+ "result_g = []\n",
+ "for column in outputs.columns: \n",
+ " for i in range(1,10,2):\n",
+ "\n",
+ " y_true = []\n",
+ " y_pred = []\n",
+ " \n",
+ " for train_ix, test_ix in logo.split(inputs, groups=groups):\n",
+ " \n",
+ " X_train = inputs.iloc[train_ix]\n",
+ " y_train = outputs[column].iloc[train_ix]\n",
+ " X_test = inputs.iloc[test_ix]\n",
+ " y_test = outputs[column].iloc[test_ix].values\n",
+ " \n",
+ " neigh = KNeighborsRegressor(n_neighbors=i)\n",
+ " neigh.fit(X_train, y_train)\n",
+ " \n",
+ " predictions_y = neigh.predict(X_test)\n",
+ " \n",
+ " y_true.extend(y_test)\n",
+ " y_pred.extend(predictions_y)\n",
+ "\n",
+ " # C-indexes for current column\n",
+ " c_index = cindex(y_true, y_pred)\n",
+ " #print(f'c-index for {column}: {c_index}')\n",
+ " result_g.append([i, column, c_index])\n",
+ "\n",
+ "result_logo = pd.DataFrame(result_g, columns=['k-value', 'metal', 'c-index'])\n",
+ "\n",
+ "# Pivot the table to get k-value and concentrations as columns\n",
+ "result_logo = result_logo.pivot_table(index='k-value', columns='metal', values='c-index', fill_value=0)\n",
+ "result_logo.columns = result_logo.columns.map('{}_c-index'.format)\n",
+ "result_logo.head(10)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "TegUfy215958"
+ },
+ "source": [
+ "## Plot Leave-One-Out and Leave-Replicas-Out Results"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "E7q5esph5958"
+ },
+ "source": [
+ "Note: You may plot the results as they were presented in the video lecture (refer to MOOC2-Module 2 .pptx slides)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 289,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<Figure size 1500x500 with 3 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots(1,3, sharey=False, sharex=False, figsize=(15,5))\n",
+ "for i in range(0,3):\n",
+ " cols = result_looc.columns.values.tolist()\n",
+ " ax[i].plot(result_looc[cols[i]], label = 'Leave-one-out')\n",
+ " ax[i].plot(result_logo[cols[i]], label = 'Leave-replicas-out')\n",
+ " ax[i].set(xlabel='K-value')\n",
+ " ax[i].set(ylabel='C-index')\n",
+ " ax[i].set_title(cols[i])\n",
+ " ax[i].set_ylim(0, 1.0)\n",
+ "plt.legend(loc = 'lower right')\n",
+ "\n",
+ "fig.suptitle('C-index for K Nearest Neighbors')\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "8UyedAH0595-"
+ },
+ "source": [
+ "## Interpretation of results\n",
+ "#### Answer the following questions based on the results obtained\n",
+ "1. Which cross-validation approach produced more optimistic results, and why?\n",
+ "2. Which cross-validation method provides a better estimate of the model's performance on unseen mixtures? Explain your answer."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "sSqIbqRU595_"
+ },
+ "source": [
+ "#### Answers:\n",
+ "\n",
+ "1. Leave-one-out produces more optimistic results, because the nearest neighbors in training are replicas.\n",
+ "2. Leave-one-group-out produces a better estimate, since unseen mixtures cannot be expected to be replicas of mixtures used in training data."
+ ]
+ }
+ ],
+ "metadata": {
+ "colab": {
+ "provenance": []
+ },
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.13.1"
+ },
+ "toc": {
+ "base_numbering": 1,
+ "nav_menu": {},
+ "number_sections": false,
+ "sideBar": true,
+ "skip_h1_title": false,
+ "title_cell": "Table of Contents",
+ "title_sidebar": "Contents",
+ "toc_cell": false,
+ "toc_position": {},
+ "toc_section_display": true,
+ "toc_window_display": true
+ },
+ "varInspector": {
+ "cols": {
+ "lenName": 16,
+ "lenType": 16,
+ "lenVar": 40
+ },
+ "kernels_config": {
+ "python": {
+ "delete_cmd_postfix": "",
+ "delete_cmd_prefix": "del ",
+ "library": "var_list.py",
+ "varRefreshCmd": "print(var_dic_list())"
+ },
+ "r": {
+ "delete_cmd_postfix": ") ",
+ "delete_cmd_prefix": "rm(",
+ "library": "var_list.r",
+ "varRefreshCmd": "cat(var_dic_list()) "
+ }
+ },
+ "types_to_exclude": [
+ "module",
+ "function",
+ "builtin_function_or_method",
+ "instance",
+ "_Feature"
+ ],
+ "window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/evaluation_of_machine_learning_methods/1/EMLM_Exercise1_Pyykkonen.pdf b/evaluation_of_machine_learning_methods/1/EMLM_Exercise1_Pyykkonen.pdf
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diff --git a/evaluation_of_machine_learning_methods/1/water_data.csv b/evaluation_of_machine_learning_methods/1/water_data.csv
new file mode 100644
index 000000000..4e3c9caf5
--- /dev/null
+++ b/evaluation_of_machine_learning_methods/1/water_data.csv
@@ -0,0 +1,226 @@
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diff --git a/evaluation_of_machine_learning_methods/2/EMLM2025_exercise2_Pyykkonen.ipynb b/evaluation_of_machine_learning_methods/2/EMLM2025_exercise2_Pyykkonen.ipynb
new file mode 100644
index 000000000..09fb272ff
--- /dev/null
+++ b/evaluation_of_machine_learning_methods/2/EMLM2025_exercise2_Pyykkonen.ipynb
@@ -0,0 +1,746 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Exercise 2 | TKO_7092 Evaluation of Machine Learning Methods 2025\n",
+ "## deadline: 12.2.2025 - 23:59\n",
+ "\n",
+ "Regarding any questions about this exercise, please contact course assistant Jonne Pohjankukka (jjepoh@utu.fi)\n",
+ "\n",
+ "********************************************\n",
+ "\n",
+ "Student name: Iida Pyykkönen\n",
+ "\n",
+ "Student number: 526289\n",
+ "\n",
+ "Student email: iida.a.pyykkonen@utu.fi\n",
+ "\n",
+ "********************************************"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Water permeability prediction in forestry <br>\n",
+ "\n",
+ "In this task, the client wants you to estimate the spatial prediction performance of K-nearest neighbor regression model with K=7 (7NN), using spatial leave-one-out cross-validation (i.e. SKCV, with number of folds == number of data points). The client wants you to use the C-index as the performance measure. \n",
+ "\n",
+ "In other words, the client wants you to answer the question: \"What happens to the prediction performance of water permeability using 7-nearest neighbor regression model, when the geographical distance between known data and unknown data increases?\".\n",
+ "\n",
+ "In this task, you have three data files available (with 1691 data points): \n",
+ "\n",
+ "- input.csv, contains the 75 predictor features. \n",
+ "- output.csv, contains the water permebility values. \n",
+ "- coordinates.csv, contains the corresponding geographical coordinate locations of the data points. The unit of the coordinates is metre, and you can use Euclidean distance to calculate distances between the coordinate points. \n",
+ "\n",
+ "Implement the following tasks to complete this exercise:\n",
+ "\n",
+ "********************************************\n",
+ "\n",
+ "#### 1. Z-score standardize the predictor features (input.csv). \n",
+ "\n",
+ "#### 2. Perform spatial leave-one-out cross-validation with 7NN model for the provided data set (refer to the lectures 3.1.3 and 3.1.4 in 'Evaluating spatial models with spatial cross-validation' for help). Estimate the water permeability prediction performance (using 7NN model and C-index) with the following distance parameter values: d = 0, 20, 40, ..., 300 (that is, 20 meter intervals from 0m to 300m). \n",
+ "\n",
+ "#### 3. When you have calculated the C-index performance measure for each value of d, visualize the results with the C-index (y-axis) as a function of d (x-axis).\n",
+ "\n",
+ "********************************************\n",
+ "\n",
+ "Your .ipynb-file must include the following: \n",
+ "\n",
+ "- Your own implementation of the spatial leave-one-out cross-validation for the current task. You can use third-party libraries (e.g. Scikit-learn) if you want for implementing e.g. the 7-nearest neighbor. Also, try to follow good programming practices and add comments to relevant parts of your code explaining what you are doing and why.\n",
+ "\n",
+ "\n",
+ "- Plot of the graph C-index vs. distance parameter value. \n",
+ "\n",
+ "\n",
+ "<br><br><br>\n",
+ "-- START IMPLEMENTING YOUR EXERCISE AFTER THIS LINE --\n",
+ "<br><br><br>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Import necessary libraries"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 125,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# In this cell, import all the libraries that you need. For example: \n",
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "from sklearn.preprocessing import StandardScaler\n",
+ "from sklearn.neighbors import KNeighborsRegressor\n",
+ "from sklearn.model_selection import cross_val_score, LeaveOneOut\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Read in the datasets"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 126,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(1691, 75)\n",
+ "(1691, 1)\n",
+ "(1691, 2)\n"
+ ]
+ }
+ ],
+ "source": [
+ "# In this cell, read the files input.csv, output.csv and coordinates.csv.\n",
+ "# Print out the dataset dimesions (i.e. number of rows and columns).\n",
+ "inputs = pd.read_csv('input.csv', header=None)\n",
+ "outputs = pd.read_csv('output.csv', names=['permeability'])\n",
+ "coordinates = pd.read_csv('coordinates.csv', names=['latitude', 'longitude'])\n",
+ "\n",
+ "print(inputs.shape)\n",
+ "print(outputs.shape)\n",
+ "print(coordinates.shape)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 127,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
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+ " .dataframe tbody tr th {\n",
+ " vertical-align: top;\n",
+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>0</th>\n",
+ " <th>1</th>\n",
+ " <th>2</th>\n",
+ " <th>3</th>\n",
+ " <th>4</th>\n",
+ " <th>5</th>\n",
+ " <th>6</th>\n",
+ " <th>7</th>\n",
+ " <th>8</th>\n",
+ " <th>9</th>\n",
+ " <th>...</th>\n",
+ " <th>65</th>\n",
+ " <th>66</th>\n",
+ " <th>67</th>\n",
+ " <th>68</th>\n",
+ " <th>69</th>\n",
+ " <th>70</th>\n",
+ " <th>71</th>\n",
+ " <th>72</th>\n",
+ " <th>73</th>\n",
+ " <th>74</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>-0.053196</td>\n",
+ " <td>-0.219296</td>\n",
+ " <td>0.210020</td>\n",
+ " <td>0.704425</td>\n",
+ " <td>0.339477</td>\n",
+ " <td>0.412638</td>\n",
+ " <td>0.331074</td>\n",
+ " <td>-0.034411</td>\n",
+ " <td>-0.184481</td>\n",
+ " <td>0.307345</td>\n",
+ " <td>...</td>\n",
+ " <td>0.219541</td>\n",
+ " <td>0.539119</td>\n",
+ " <td>-0.645254</td>\n",
+ " <td>-0.519918</td>\n",
+ " <td>-0.447089</td>\n",
+ " <td>0.554097</td>\n",
+ " <td>0.087285</td>\n",
+ " <td>-0.109193</td>\n",
+ " <td>-0.913639</td>\n",
+ " <td>-0.461479</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>-0.632098</td>\n",
+ " <td>-0.682804</td>\n",
+ " <td>-0.285522</td>\n",
+ " <td>-0.369542</td>\n",
+ " <td>-0.138305</td>\n",
+ " <td>2.489725</td>\n",
+ " <td>2.051755</td>\n",
+ " <td>-0.034411</td>\n",
+ " <td>-0.246906</td>\n",
+ " <td>-0.226797</td>\n",
+ " <td>...</td>\n",
+ " <td>0.219541</td>\n",
+ " <td>-0.169259</td>\n",
+ " <td>-0.645254</td>\n",
+ " <td>2.475438</td>\n",
+ " <td>-0.447089</td>\n",
+ " <td>-0.288927</td>\n",
+ " <td>-0.035919</td>\n",
+ " <td>-1.481978</td>\n",
+ " <td>-1.087664</td>\n",
+ " <td>-0.461479</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>-0.674980</td>\n",
+ " <td>-0.597421</td>\n",
+ " <td>-0.568689</td>\n",
+ " <td>-0.983237</td>\n",
+ " <td>-0.828435</td>\n",
+ " <td>-0.496087</td>\n",
+ " <td>-0.451053</td>\n",
+ " <td>-0.034411</td>\n",
+ " <td>-0.324938</td>\n",
+ " <td>-0.627405</td>\n",
+ " <td>...</td>\n",
+ " <td>-1.047724</td>\n",
+ " <td>-0.877636</td>\n",
+ " <td>-0.645254</td>\n",
+ " <td>-0.519918</td>\n",
+ " <td>-0.447089</td>\n",
+ " <td>-0.375320</td>\n",
+ " <td>-0.159124</td>\n",
+ " <td>0.349947</td>\n",
+ " <td>0.134707</td>\n",
+ " <td>-0.809315</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>-0.331927</td>\n",
+ " <td>-0.154649</td>\n",
+ " <td>1.307292</td>\n",
+ " <td>0.090730</td>\n",
+ " <td>0.419107</td>\n",
+ " <td>1.061728</td>\n",
+ " <td>0.956776</td>\n",
+ " <td>-0.034411</td>\n",
+ " <td>-0.301529</td>\n",
+ " <td>-0.360333</td>\n",
+ " <td>...</td>\n",
+ " <td>-1.047724</td>\n",
+ " <td>-0.877636</td>\n",
+ " <td>-0.645254</td>\n",
+ " <td>-0.519918</td>\n",
+ " <td>-0.447089</td>\n",
+ " <td>-0.383278</td>\n",
+ " <td>0.703308</td>\n",
+ " <td>0.467238</td>\n",
+ " <td>0.107450</td>\n",
+ " <td>-0.832933</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>-0.610657</td>\n",
+ " <td>-0.673046</td>\n",
+ " <td>-0.161636</td>\n",
+ " <td>-0.522966</td>\n",
+ " <td>-0.377196</td>\n",
+ " <td>0.672274</td>\n",
+ " <td>0.800351</td>\n",
+ " <td>-0.034411</td>\n",
+ " <td>-0.363954</td>\n",
+ " <td>-0.961244</td>\n",
+ " <td>...</td>\n",
+ " <td>-1.047724</td>\n",
+ " <td>-0.877636</td>\n",
+ " <td>2.098494</td>\n",
+ " <td>0.977760</td>\n",
+ " <td>1.960643</td>\n",
+ " <td>-0.296657</td>\n",
+ " <td>0.087285</td>\n",
+ " <td>-0.333328</td>\n",
+ " <td>-0.636876</td>\n",
+ " <td>-0.542584</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "<p>5 rows × 75 columns</p>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " 0 1 2 3 4 5 6 \\\n",
+ "0 -0.053196 -0.219296 0.210020 0.704425 0.339477 0.412638 0.331074 \n",
+ "1 -0.632098 -0.682804 -0.285522 -0.369542 -0.138305 2.489725 2.051755 \n",
+ "2 -0.674980 -0.597421 -0.568689 -0.983237 -0.828435 -0.496087 -0.451053 \n",
+ "3 -0.331927 -0.154649 1.307292 0.090730 0.419107 1.061728 0.956776 \n",
+ "4 -0.610657 -0.673046 -0.161636 -0.522966 -0.377196 0.672274 0.800351 \n",
+ "\n",
+ " 7 8 9 ... 65 66 67 68 \\\n",
+ "0 -0.034411 -0.184481 0.307345 ... 0.219541 0.539119 -0.645254 -0.519918 \n",
+ "1 -0.034411 -0.246906 -0.226797 ... 0.219541 -0.169259 -0.645254 2.475438 \n",
+ "2 -0.034411 -0.324938 -0.627405 ... -1.047724 -0.877636 -0.645254 -0.519918 \n",
+ "3 -0.034411 -0.301529 -0.360333 ... -1.047724 -0.877636 -0.645254 -0.519918 \n",
+ "4 -0.034411 -0.363954 -0.961244 ... -1.047724 -0.877636 2.098494 0.977760 \n",
+ "\n",
+ " 69 70 71 72 73 74 \n",
+ "0 -0.447089 0.554097 0.087285 -0.109193 -0.913639 -0.461479 \n",
+ "1 -0.447089 -0.288927 -0.035919 -1.481978 -1.087664 -0.461479 \n",
+ "2 -0.447089 -0.375320 -0.159124 0.349947 0.134707 -0.809315 \n",
+ "3 -0.447089 -0.383278 0.703308 0.467238 0.107450 -0.832933 \n",
+ "4 1.960643 -0.296657 0.087285 -0.333328 -0.636876 -0.542584 \n",
+ "\n",
+ "[5 rows x 75 columns]"
+ ]
+ },
+ "execution_count": 127,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "inputs.head(5)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 128,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
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+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>permeability</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>5.8359</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>6.2592</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>6.9041</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>6.2065</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>7.0642</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " permeability\n",
+ "0 5.8359\n",
+ "1 6.2592\n",
+ "2 6.9041\n",
+ "3 6.2065\n",
+ "4 7.0642"
+ ]
+ },
+ "execution_count": 128,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "outputs.head(5)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 129,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "<div>\n",
+ "<style scoped>\n",
+ " .dataframe tbody tr th:only-of-type {\n",
+ " vertical-align: middle;\n",
+ " }\n",
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+ " }\n",
+ "\n",
+ " .dataframe thead th {\n",
+ " text-align: right;\n",
+ " }\n",
+ "</style>\n",
+ "<table border=\"1\" class=\"dataframe\">\n",
+ " <thead>\n",
+ " <tr style=\"text-align: right;\">\n",
+ " <th></th>\n",
+ " <th>latitude</th>\n",
+ " <th>longitude</th>\n",
+ " </tr>\n",
+ " </thead>\n",
+ " <tbody>\n",
+ " <tr>\n",
+ " <th>0</th>\n",
+ " <td>459140.0</td>\n",
+ " <td>7524200.0</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>1</th>\n",
+ " <td>461590.0</td>\n",
+ " <td>7549000.0</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>2</th>\n",
+ " <td>462040.0</td>\n",
+ " <td>7549300.0</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>3</th>\n",
+ " <td>462040.0</td>\n",
+ " <td>7549300.0</td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <th>4</th>\n",
+ " <td>462130.0</td>\n",
+ " <td>7549400.0</td>\n",
+ " </tr>\n",
+ " </tbody>\n",
+ "</table>\n",
+ "</div>"
+ ],
+ "text/plain": [
+ " latitude longitude\n",
+ "0 459140.0 7524200.0\n",
+ "1 461590.0 7549000.0\n",
+ "2 462040.0 7549300.0\n",
+ "3 462040.0 7549300.0\n",
+ "4 462130.0 7549400.0"
+ ]
+ },
+ "execution_count": 129,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "coordinates.head(5)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Standardization of the predictor features (input.csv)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 130,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Standardize the predictor features (input.csv) by removing the mean and scaling to unit variance. \n",
+ "# In other words, z-score the predictor features. You are allowed to use third-party libraries for doing this. \n",
+ "\n",
+ "scaler = StandardScaler()\n",
+ "ins = inputs.copy()\n",
+ "ins = scaler.fit_transform(ins)\n",
+ "inputs_std = pd.DataFrame(ins)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Functions and analysis code"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 131,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Include here all the functions and other relevant code that you need in order to implement the task.\n",
+ "\n",
+ "# Note! Utilize the following two functions in your implementation:\n",
+ "\n",
+ "### Function for calculating C-index ###\n",
+ "# y: array containing true label values.\n",
+ "# yp: array containing the predicted label values.\n",
+ "def cindex(y, yp):\n",
+ " n = 0\n",
+ " h_num = 0 \n",
+ " for i in range(0, len(y)):\n",
+ " t = y[i]\n",
+ " p = yp[i]\n",
+ " for j in range(i+1, len(y)):\n",
+ " nt = y[j]\n",
+ " np = yp[j]\n",
+ " if (t != nt): \n",
+ " n = n + 1\n",
+ " if (p < np and t < nt) or (p > np and t > nt): \n",
+ " h_num += 1\n",
+ " elif (p == np):\n",
+ " h_num += 0.5\n",
+ " return h_num/n\n",
+ "\n",
+ "\n",
+ "### Function for calculating the pairwise spatial distances between the data points ###\n",
+ "# The function will return a n-by-n matrix of Euclidean distances. For example, the\n",
+ "# distance_matrix element at indices i,j will contain the spatial distance between \n",
+ "# data point i and j. Note that the element value is 0 always when i==j.\n",
+ "# coordinate_array: n-by-2 array containing the coordinates of the exercise data points.\n",
+ "def cdists(coordinate_array):\n",
+ " number_of_observations = coordinate_array.shape[0]\n",
+ " distance_matrix = np.zeros((number_of_observations, number_of_observations))\n",
+ " for i in range(0, number_of_observations):\n",
+ " distance_matrix[i, :] = np.sqrt(np.sum((coordinate_array - coordinate_array[i])**2, axis=1))\n",
+ " return distance_matrix"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Results for spatial leave-one-out cross-validation with 7-nearest neighbor regression model"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 132,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[0, 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300]\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Distances for the loop\n",
+ "distances = list(range(0,320,20))\n",
+ "print(distances)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 134,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "<Axes: xlabel='distance', ylabel='c-index'>"
+ ]
+ },
+ "execution_count": 134,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<Figure size 640x480 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# In this cell, run your script for the Spatial leave-One-Out cross-validation \n",
+ "# with 7-nearest neighbor regression model and visualize the results as \n",
+ "# requested in the task assignment.\n",
+ "\n",
+ "loo = LeaveOneOut()\n",
+ "result = []\n",
+ "\n",
+ "for distance in distances:\n",
+ " y_pred = []\n",
+ " y_true = []\n",
+ " \n",
+ " for train_ix, test_ix in loo.split(inputs_std):\n",
+ " test_point = inputs.iloc[test_ix]\n",
+ " \n",
+ " # Get the points that are within the distance of the test point\n",
+ " too_close = np.where(distance_matrix[test_ix] < distance)\n",
+ " \n",
+ " # Filter out the points that are too close (test point gets filtered out too)\n",
+ " filtered_train = np.setdiff1d(train_ix, too_close)\n",
+ "\n",
+ " # Split the data\n",
+ " X_train = inputs_std.iloc[filtered_train]\n",
+ " y_train = outputs.loc[filtered_train]\n",
+ " X_test = inputs_std.loc[test_ix]\n",
+ " y_test = outputs.loc[test_ix].values\n",
+ "\n",
+ " # Train the model and make a prediction with the test point\n",
+ " neigh = KNeighborsRegressor(n_neighbors=7)\n",
+ " neigh.fit(X_train, y_train)\n",
+ " \n",
+ " prediction = neigh.predict(test_point)\n",
+ " \n",
+ " y_pred.append(prediction)\n",
+ " y_true.append(y_test)\n",
+ "\n",
+ " # C-index for the current distance\n",
+ " c_index = cindex(y_true, y_pred)\n",
+ " result.append([distance, c_index])\n",
+ "\n",
+ "result_looc = pd.DataFrame(result, columns=['distance', 'c-index'])\n",
+ "\n",
+ "sns.lineplot(result_looc, x='distance', y='c-index')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Analysis of the results"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### In this cell, you need to answer the client's questions:\n",
+ "\n",
+ "\n",
+ "1. What happens to the 7NN performance as the prediction distance increases?\n",
+ "\n",
+ "\n",
+ "2. Do you think the results behave as was somewhat expected? Do they make sense, why?\n",
+ "\n",
+ "\n",
+ "3. If we require that the 7NN must have at least C-index performance of 0.68, then up to what distance should we trust the 7NN predictions, based on the results?"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "1. The prediction performance worsens as distance increases.\n",
+ "2. The results make sense because in this spatial dataset the datapoints that are closer are more similar.\n",
+ "3. With threshold 0.68 we can trust the predictions up to 100 meters."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.13.1"
+ },
+ "toc": {
+ "base_numbering": 1,
+ "nav_menu": {},
+ "number_sections": false,
+ "sideBar": true,
+ "skip_h1_title": false,
+ "title_cell": "Table of Contents",
+ "title_sidebar": "Contents",
+ "toc_cell": false,
+ "toc_position": {},
+ "toc_section_display": true,
+ "toc_window_display": true
+ },
+ "varInspector": {
+ "cols": {
+ "lenName": 16,
+ "lenType": 16,
+ "lenVar": 40
+ },
+ "kernels_config": {
+ "python": {
+ "delete_cmd_postfix": "",
+ "delete_cmd_prefix": "del ",
+ "library": "var_list.py",
+ "varRefreshCmd": "print(var_dic_list())"
+ },
+ "r": {
+ "delete_cmd_postfix": ") ",
+ "delete_cmd_prefix": "rm(",
+ "library": "var_list.r",
+ "varRefreshCmd": "cat(var_dic_list()) "
+ }
+ },
+ "types_to_exclude": [
+ "module",
+ "function",
+ "builtin_function_or_method",
+ "instance",
+ "_Feature"
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+ "window_display": false
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/evaluation_of_machine_learning_methods/2/EMLM2025_exercise2_Pyykkonen.pdf b/evaluation_of_machine_learning_methods/2/EMLM2025_exercise2_Pyykkonen.pdf
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diff --git a/evaluation_of_machine_learning_methods/2/input.csv b/evaluation_of_machine_learning_methods/2/input.csv
new file mode 100644
index 000000000..a33ec09c7
--- /dev/null
+++ b/evaluation_of_machine_learning_methods/2/input.csv
@@ -0,0 +1,1691 @@
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diff --git a/evaluation_of_machine_learning_methods/2/output.csv b/evaluation_of_machine_learning_methods/2/output.csv
new file mode 100644
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--
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