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authorChristian C <cc@localhost>2024-11-11 12:29:32 -0800
committerChristian C <cc@localhost>2024-11-11 12:29:32 -0800
commitb85ee9d64a536937912544c7bbd5b98b635b7e8d (patch)
treecef7bc17d7b29f40fc6b1867d0ce0a742d5583d0 /notebooks/IteratedEncodings.ipynb
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "ebfce4c6",
+ "metadata": {},
+ "source": [
+ "# Imports and Functions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "ff590465",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sunlab.environment.base.cpu import *\n",
+ "from sunlab.environment.base.extras import *\n",
+ "from sunlab.globals import FILES\n",
+ "from sunlab.sunflow import *"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "001c1fbb",
+ "metadata": {},
+ "source": [
+ "# Runtime Parameters"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "5ce1ed49",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "SAVE_EXTRAS = False"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "a85a22d9",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "g_Base = lambda *args: DIR_ROOT + \"Figures/\"\n",
+ "g_Iterations = 100"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "cb02bc7e",
+ "metadata": {},
+ "source": [
+ "# Setup"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "3230e8e7",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "model, dataset = load_aae_and_dataset(FILES['TRAINING_DATASET'], FILES['PRETRAINED_MODEL_DIR'], MaxAbsScaler)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "1b8c93d0",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "input_dataset_mfv = dataset.dataset\n",
+ "output_dataset_mfv = np.zeros((g_Iterations+1, *input_dataset_mfv.shape))\n",
+ "output_dataset_mfv[0,...] = input_dataset_mfv\n",
+ "output_time = np.zeros((g_Iterations+1, input_dataset_mfv.shape[0]))\n",
+ "for iteration in range(g_Iterations):\n",
+ " iteration_n = iteration + 1\n",
+ " output_dataset_mfv[iteration_n,...] = model.autoencoder(output_dataset_mfv[iteration,...]).numpy()\n",
+ " output_time[iteration_n,...] = iteration_n\n",
+ "output_dataset_mlv = model.encoder(output_dataset_mfv).numpy()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "27e84e37",
+ "metadata": {},
+ "source": [
+ "# Plots"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "10ff9a5c",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# https://arxiv.org/pdf/2106.16239"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c303f5a0",
+ "metadata": {},
+ "source": [
+ "import matplotlib.animation as animation"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e2faf151",
+ "metadata": {},
+ "source": [
+ "%matplotlib notebook"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "432bb024",
+ "metadata": {},
+ "source": [
+ "fig = plt.figure()\n",
+ "\n",
+ "def updatefig(i):\n",
+ " fig.clear()\n",
+ " plt.scatter2d(output_dataset_mlv[i%(g_Iterations+1),...], s=1)\n",
+ " plt.apply_boundary()\n",
+ " plt.draw()\n",
+ "\n",
+ "anim = animation.FuncAnimation(fig, updatefig, g_Iterations+1)\n",
+ "anim.save(g_Base() + \"../../IterationTest.gif\", fps=10)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "9ede88b5",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ "<Figure size 640x480 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter2d(output_dataset_mlv[-1,...], s=1)\n",
+ "plt.apply_boundary()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "cd18fa2e",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ "<Figure size 640x480 with 1 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "_N = 10\n",
+ "_M = 50\n",
+ "plt.scatter(output_dataset_mlv[:,_N:_M,0].flatten(),output_dataset_mlv[:,_N:_M,1].flatten(), c=output_time[:,_N:_M].flatten(), cmap='jet', s=0.5)\n",
+ "plt.apply_boundary()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "34b9e2bf",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 38,
+ "id": "b2470470",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.cluster import KMeans"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "b42da73e",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "<Figure size 640x480 with 0 Axes>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.apply_boundary()\n",
+ "extent=(*plt.xlim(),*plt.ylim(),)\n",
+ "plt.clf()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 90,
+ "id": "0bb6dca7",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(301, 11921, 2)"
+ ]
+ },
+ "execution_count": 90,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "_N = 300\n",
+ "\n",
+ "XY = np.mgrid[extent[0]:extent[1]:0.1,extent[2]:extent[3]:0.1]\n",
+ "XY = XY.transpose(1,2,0)\n",
+ "XY_shape = XY.shape\n",
+ "XY = XY.reshape((-1,2))\n",
+ "MLVs = [XY[np.newaxis,...],]\n",
+ "MFV = model.decoder(XY).numpy()[np.newaxis,...]\n",
+ "for i in range(_N):\n",
+ " MLVs.append(model.encoder(MFV[0,...]).numpy()[np.newaxis,...])\n",
+ " MFV = model.decoder(MLVs[-1]).numpy()\n",
+ "MLVs = np.vstack(MLVs)\n",
+ "MLVs.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 92,
+ "id": "df5f2d6b",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "k_model = KMeans()\n",
+ "MLV_class = k_model.fit_predict(MLVs[-1,...])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 94,
+ "id": "97d1168d",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "<matplotlib.collections.PathCollection at 0x2aac817e0670>"
+ ]
+ },
+ "execution_count": 94,
+ "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": [
+ "plt.scatter2d(MLVs[0,...], s=16, c=MLV_class, cmap='jet')\n",
+ "plt.apply_boundary()\n",
+ "plt.scatter(MLVs[-1,:,0], MLVs[-1,:,1], marker='x', c='white')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "f3515fbf",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ae236fe1",
+ "metadata": {
+ "heading_collapsed": true
+ },
+ "source": [
+ "# END"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "f3b5ed0b",
+ "metadata": {
+ "hidden": true
+ },
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "tfnb",
+ "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": "3.9.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}