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advanced-methods-practise-s…/w9/DimensionalityReduction.orig.ipynb
2025-07-02 08:44:09 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "d4b15792",
"metadata": {},
"source": [
"# Programming Exercise: Dimensionality Reduction PCA vs AE\n",
"In this exercise you will have to reduce the dimensionality of the Iris dataset to 2 using PCA and an AE.\n",
"The AutoEncoder consists of an encoder (4→8→2) and a decoder (2→8→4)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "c4539f14",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"2025-06-18 09:51:17.010941: I external/local_xla/xla/tsl/cuda/cudart_stub.cc:32] Could not find cuda drivers on your machine, GPU will not be used.\n",
"2025-06-18 09:51:17.014583: I external/local_xla/xla/tsl/cuda/cudart_stub.cc:32] Could not find cuda drivers on your machine, GPU will not be used.\n",
"2025-06-18 09:51:17.024738: E external/local_xla/xla/stream_executor/cuda/cuda_fft.cc:467] Unable to register cuFFT factory: Attempting to register factory for plugin cuFFT when one has already been registered\n",
"WARNING: All log messages before absl::InitializeLog() is called are written to STDERR\n",
"E0000 00:00:1750233077.040165 36601 cuda_dnn.cc:8579] Unable to register cuDNN factory: Attempting to register factory for plugin cuDNN when one has already been registered\n",
"E0000 00:00:1750233077.044228 36601 cuda_blas.cc:1407] Unable to register cuBLAS factory: Attempting to register factory for plugin cuBLAS when one has already been registered\n",
"W0000 00:00:1750233077.054474 36601 computation_placer.cc:177] computation placer already registered. Please check linkage and avoid linking the same target more than once.\n",
"W0000 00:00:1750233077.054487 36601 computation_placer.cc:177] computation placer already registered. Please check linkage and avoid linking the same target more than once.\n",
"W0000 00:00:1750233077.054488 36601 computation_placer.cc:177] computation placer already registered. Please check linkage and avoid linking the same target more than once.\n",
"W0000 00:00:1750233077.054489 36601 computation_placer.cc:177] computation placer already registered. Please check linkage and avoid linking the same target more than once.\n",
"2025-06-18 09:51:17.057788: I tensorflow/core/platform/cpu_feature_guard.cc:210] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n",
"To enable the following instructions: AVX2 FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n"
]
}
],
"source": [
"#You can use these packages, but you can also use other\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.datasets import load_iris\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.linear_model import LogisticRegression\n",
"from sklearn.metrics import mean_squared_error, accuracy_score\n",
"\n",
"import tensorflow as tf\n",
"from tensorflow.keras.layers import Input, Dense\n",
"from tensorflow.keras.models import Model\n",
"\n",
"plt.rcParams['figure.figsize'] = (6,4)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "f50f2ef0",
"metadata": {},
"outputs": [],
"source": [
"# Please enter your names\n",
"name = \"\""
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "ac003f40",
"metadata": {},
"outputs": [],
"source": [
"#load data\n",
"iris = load_iris()\n",
"X = iris.data \n",
"y = iris.target \n",
"scaler = StandardScaler()\n",
"X_scaled = scaler.fit_transform(X)"
]
},
{
"cell_type": "markdown",
"id": "f8407c9f",
"metadata": {},
"source": [
"# PCA\n",
"Apply PCA to reduce the dimension to 2."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "b370a7f8",
"metadata": {},
"outputs": [],
"source": [
"# PCA\n",
"#TODO\n",
"Z_pca = "
]
},
{
"cell_type": "markdown",
"id": "13a3def8",
"metadata": {},
"source": [
"# AE\n",
" Create and train an AutoEncoder consisting of an encoder (4→8→2) and a decoder (2→8→4).\n",
" Train it for 200 epochs with a batch size of 16."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "5d1e2b11",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"2025-06-18 09:51:18.398341: E external/local_xla/xla/stream_executor/cuda/cuda_platform.cc:51] failed call to cuInit: INTERNAL: CUDA error: Failed call to cuInit: UNKNOWN ERROR (303)\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[1m5/5\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 7ms/step \n"
]
}
],
"source": [
"# encoder (4→8→2)\n",
"#TODO\n",
"\n",
"# decoder (2→8→4)\n",
"#TODO\n",
"\n",
"\n",
"# autoencoder\n",
"#TODO\n",
"\n",
"# Train autoencoder\n",
"#TODO\n",
"\n",
"# Extract reduced output for X_scaled\n",
"Z_ae = #TODO"
]
},
{
"cell_type": "markdown",
"id": "a6c6e7a1",
"metadata": {},
"source": [
"# Visualization"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "f71870c1",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 600x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 600x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# AE\n",
"plt.figure()\n",
"plt.scatter(Z_ae[:,0], Z_ae[:,1], c=y, cmap='plasma', s=40)\n",
"plt.title('AE 2-D Embedding')\n",
"plt.colorbar(label='species')\n",
"plt.show()\n",
"\n",
"# PCA\n",
"plt.figure()\n",
"plt.scatter(Z_pca[:,0], Z_pca[:,1], c=y, cmap='cividis', s=40)\n",
"plt.title('PCA 2-D Embedding')\n",
"plt.colorbar(label='species')\n",
"plt.show()\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "lecture",
"language": "python",
"name": "lecture"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}