From 8fe4beade8940bb820da95890a3e04a202c2c4d2 Mon Sep 17 00:00:00 2001 From: Kai Koellemann Date: Mon, 5 Jun 2023 10:37:23 +0200 Subject: [PATCH] Updating weights after batch --- Aufgabe 3/aufgabe03.ipynb | 75 +++++++++++++++------------------------ 1 file changed, 28 insertions(+), 47 deletions(-) diff --git a/Aufgabe 3/aufgabe03.ipynb b/Aufgabe 3/aufgabe03.ipynb index 1b172b6..5b2d323 100755 --- a/Aufgabe 3/aufgabe03.ipynb +++ b/Aufgabe 3/aufgabe03.ipynb @@ -2,19 +2,20 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from tqdm import tqdm\n", + "import matplotlib.pyplot as plt\n", "\n", "rng = np.random.default_rng()" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 49, "metadata": {}, "outputs": [], "source": [ @@ -44,7 +45,7 @@ }, { "cell_type": "code", - "execution_count": 168, + "execution_count": 76, "metadata": {}, "outputs": [], "source": [ @@ -136,7 +137,7 @@ " Train the neural network with the given input data.\n", " \"\"\"\n", " from IPython import display\n", - " import matplotlib.pyplot as plt\n", + " \n", " hdisplay = display.display(\"\", display_id=True)\n", " fig, ax = plt.subplots()\n", "\n", @@ -144,12 +145,11 @@ " for epoch in tqdm(range(epochs)):\n", " for i in range(0, len(data), batch_size):\n", " batch = data[i : i + batch_size]\n", - " for x, y in batch:\n", - " Δweights = self.backward_pass(x, y)\n", - " self.weights = [\n", - " w - learning_rate * (Δw / float(batch_size))\n", - " for w, Δw in zip(self.weights, Δweights, strict=True)\n", - " ]\n", + " Δweights = [ self.backward_pass(x, y) for x,y in batch ]\n", + " Δweights = list(zip(*Δweights))\n", + " Δweights = [ sum(Δw) / float(batch_size) for Δw in Δweights ]\n", + " \n", + " self.weights = [ w - learning_rate * Δw for w, Δw in zip(self.weights, Δweights) ]\n", "\n", " L = bcel(y, self.classify(x))\n", " losses.append(L)\n", @@ -162,8 +162,6 @@ " pic.append(col)\n", " pic = np.array(pic)\n", "\n", - " import matplotlib.pyplot as plt\n", - "\n", " if epoch % 5 == 0:\n", " ax.imshow(pic, cmap=\"hot\", interpolation=\"nearest\", extent=(-1, 1, 1, -1))\n", " hdisplay.update(fig)\n", @@ -173,7 +171,7 @@ }, { "cell_type": "code", - "execution_count": 155, + "execution_count": 77, "metadata": {}, "outputs": [], "source": [ @@ -212,21 +210,21 @@ }, { "cell_type": "code", - "execution_count": 173, + "execution_count": 85, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Correct classifications before training: 0.526\n" + "Correct classifications before training: 0.507\n" ] }, { "data": { - "image/png": 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SlgJLAY58YzudNbN910rZ04olwM3VBRGxvfy5FbiH119vqa7nWspmQ6CVsqcAko4FZgLfqyybKWl6+Xw2cCrpgmtmNuDaKnsKRbK5JSKi0vw44MuSXqVIcMuro0ZmNnxaKXtavv77cdrdC5yQow9mNhh8l7K1o8G4cb9N95fp4nv6jEH9cHRqmLqX/eX3bmYtcVIxs6ycVMwsKycVM8vKScXMsnJSMbOsPKRsnWvyzuY7nJvpNeTcD5+pmFlWTipmlpWTipll5aRiZlk5qZhZVk4qZpaVk4qZZeV5KtaOBm9fkzEXpdc2Pf+lfz5TMbOsnFTMLCsnFTPLKlct5eskPSXpoZq4JP1zWWv5QUknVWIXSXqsfFyUoz9m1p1cZypfBeYn4ucAx5SPpcC/AEg6mKIE6ikU5VM/I2lmpj6ZWQeyJJWI+C6wI7HKQuBrUdgAHCTpMOBsYG1E7IiI54C1pJOTmQ24toaU6+ot70sd5tfKngK7dDPjftQacrOBZ7ruxCSZqsc2VY/rd/ptODTzVCJiJbASQNLGiBjpuEvZTdXjgql7bFP5uPpt29boT1295X2pw2xmQ6CtpLIG+Eg5CvQu4IWIeJKiVOpZZU3lmcBZ5TIzG1JZPv5Iuhl4HzBb0jaKEZ1fB4iIL1GURD0X2ALsBD5axnZI+ixFkXeAKyIidcF31Moc/R5AU/W4YOoem49rDL2+XrqZWTOeUWtmWTmpmFlWQ5FUJH1I0sOSXpVUO3wnab6kzeXtAMva7GM/JB0saW15i8LautnEkvZIeqB8rGm7nxPV6/cvabqkVWX8PklHddDNvkzg2C6W9HTl3+ljXfRzXzS5vSYpIgb+ARxHMRnnHmCkZp0DgMeBo4FpwA+B47vue4/j+jywrHy+DLiqZr1fdd3XCRxLz98/8BfAl8rnS4BVXfc747FdDHyh677u43G9FzgJeKgmfi5wByDgXcB9E9nuUJypRMSjEbG5x2onA1siYmtEvAzcQnF7wCBbCFxfPr8eWNRdVxqbyO+/eryrgTMkqcU+9msY/7Z6iv5vr0kaiqQyQROe8j9ADolivg7AL4BDatabIWmjpA2SFrXTtX02kd//a+tExG7gBWBWK71rZqJ/W+eXHxNWS3rbOPFh09f/qYGZpi/pLuDQcUKXR8Rtbfcnl9RxVV9EREiqG9+fExHbJR0NrJO0KSIez91Xa+TbwM0RsUvSn1GckZ3ecZ86MTBJJSLObLiJgZzynzouSb+UdFhEPFmeVj5Vs43t5c+tku4BTqT4jD9IJvL7H11nm6QDgTcDz7bTvUZ6HltEVI/jGorrZcOur/9TU+njz/3AMZLmSppGcSFwYEdKSmuA0S+mugjY64ysvIVhevl8NnAq8EhrPZy4ifz+q8e7GFgX5RXBAdfz2MZca1gAPNpi/yZL3e01aV1fgZ7gVerzKD7P7QJ+CdxZLn8rcPuYq9U/pngXv7zrfk/guGYBdwOPAXcBB5fLR4BryufvBjZRjDhsAi7put+J49nr9w9cASwon88Avklxu8b3gaO77nPGY/sH4OHy32k9cGzXfZ7AMd0MPAm8Uv7/ugT4OPDxMi7g6vKYN1Ez8jr24Wn6ZpbVVPr4Y2YDwEnFzLJyUjGzrJxUzCwrJxUzy8pJxcyyclIxs6z+H9yxL5Nf8QhNAAAAAElFTkSuQmCC", + "image/png": 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", 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" + "
" ] }, "metadata": {}, @@ -236,38 +234,34 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 80/80 [00:07<00:00, 11.31it/s]\n" + "100%|██████████| 80/80 [00:03<00:00, 24.72it/s]\n" ] }, { "data": { - "image/png": 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", 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", 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", 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", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ - "Correct classifications after training: 0.769\n" + "Correct classifications after training: 1.0\n" ] } ], @@ -278,12 +272,12 @@ "training_data = samples(100)\n", "\n", "# Updating weights after every backward pass\n", - "nn = NeuralNet(hidden_layers=[(4, relu)])\n", + "nn = NeuralNet(hidden_layers=[(8, relu)])\n", "\n", "correct = sum([round(nn.classify(x)) == y for x, y in test_data])\n", "print(f\"Correct classifications before training: {correct/len(test_data)}\")\n", "\n", - "l = nn.train(training_data, batch_size=10, learning_rate=1, epochs=80)\n", + "l = nn.train(training_data, batch_size=20, learning_rate=1, epochs=80)\n", "\n", "plt.figure(figsize=(10,6))\n", "plt.scatter(range(80), l)\n", @@ -295,30 +289,17 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 53, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] }, - "execution_count": 84, "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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