From 94f915648c4e3d5923de8c3b4d49cccf55335c9a Mon Sep 17 00:00:00 2001 From: SamueleBolotta Date: Fri, 2 Feb 2024 20:44:40 +0100 Subject: [PATCH] plots --- .../W1D1_Generalization/W1D1_Tutorial2.ipynb | 733 ++---------------- 1 file changed, 56 insertions(+), 677 deletions(-) diff --git a/tutorials/W1D1_Generalization/W1D1_Tutorial2.ipynb b/tutorials/W1D1_Generalization/W1D1_Tutorial2.ipynb index 4988f36fc..080883350 100644 --- a/tutorials/W1D1_Generalization/W1D1_Tutorial2.ipynb +++ b/tutorials/W1D1_Generalization/W1D1_Tutorial2.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "12bb9e08-6996-4d6b-8b80-a7a26191c9d6", "metadata": {}, "outputs": [], @@ -24,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "85fea2ec-e1ee-4ebe-9dff-d3b253c3ba0b", "metadata": {}, "outputs": [], @@ -58,30 +58,10 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "50c15d51-8e59-4305-a2bc-e270ac349085", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Go Envelope Tensor: torch.Size([27, 8, 296, 1])\n", - "Plan Tensor: torch.Size([27, 8, 296, 15])\n", - "Muscle Tensor: torch.Size([27, 8, 296, 2])\n" - ] - }, - { - "data": { - "text/plain": [ - "0" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "import numpy as np\n", "import torch\n", @@ -149,31 +129,43 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "cfd6d286-fc8b-4b1c-babe-c58279781637", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ + "# Normalization and Standardization Function\n", + "def normalize_and_standardize(tensor):\n", + " # Normalize\n", + " min_val = tensor.min()\n", + " max_val = tensor.max()\n", + " tensor = (tensor - min_val) / (max_val - min_val)\n", + " \n", + " # Standardize\n", + " mean = tensor.mean()\n", + " std = tensor.std()\n", + " standardized_normalized_tensor = (tensor - mean) / std\n", + " \n", + " return standardized_normalized_tensor\n", + "\n", + "plan_tensor = normalize_and_standardize(plan_tensor)\n", + "\n", + "# Concatenate Plan and Go Envelope Tensors\n", + "concatenated_tensor = torch.cat([plan_tensor, go_envelope_tensor], dim=3) # Resulting shape: [27, 8, 296, 16]\n", + "\n", + "# Normalize and Standardize\n", + "normalised_inputs = concatenated_tensor\n", + "\n", + "\n", "# Averaging across conditions and delays\n", - "avg_go_envelope = go_envelope_tensor.mean(dim=[0, 1]).squeeze()\n", + "avg_go_envelope = normalised_inputs.mean(dim=[0, 1]).squeeze()\n", "avg_plan = plan_tensor.mean(dim=[0, 1])\n", "avg_muscle = muscle_tensor.mean(dim=[0, 1])\n", "\n", "# For plan and muscle\n", "# individual features for plotting (for example, the first feature)\n", "feature_idx = 7 #max14\n", - "muscle_idx = 0 #max1\n", + "muscle_idx = 1 #max1\n", "\n", "plan_feature = avg_plan[:, feature_idx]\n", "muscle_feature = avg_muscle[:, muscle_idx]\n", @@ -199,8 +191,8 @@ "\n", "# Plotting Muscle Feature\n", "plt.subplot(3, 1, 3)\n", - "plt.plot(timesteps, muscle_feature, label=f'Muscle Feature {feature_idx}')\n", - "plt.title(f'Muscle Feature {muscle_idx} over Time')\n", + "plt.plot(timesteps, muscle_feature, label=f'Muscle n°{muscle_idx}')\n", + "plt.title(f'Muscle n°{muscle_idx} over Time')\n", "plt.xlabel('Time Step')\n", "plt.ylabel('Average Value')\n", "plt.legend()\n", @@ -211,27 +203,11 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "417463ca-29c8-4229-baed-58dcf390747a", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Shape of inputs - ComplicatedRNN torch.Size([27, 296, 16])\n", - "Shape of targets - ComplicatedRNN torch.Size([27, 296, 2])\n" - ] - } - ], + "outputs": [], "source": [ - "# Normalization and Standardization Function\n", - "def normalize_and_standardize(tensor):\n", - " mean = tensor.mean()\n", - " std = tensor.std()\n", - " tensor = (tensor - mean) / std\n", - " return tensor\n", - " \n", "class ComplicatedTimeseriesDataset(Dataset):\n", " def __init__(self, inputs, targets, delay_idx):\n", " \"\"\"\n", @@ -261,8 +237,7 @@ "concatenated_tensor = torch.cat([plan_tensor, go_envelope_tensor], dim=3) # Resulting shape: [27, 8, 296, 16]\n", "\n", "# Normalize and Standardize\n", - "normalised_inputs = normalize_and_standardize(concatenated_tensor) \n", - "normalized_muscle_tensor = normalize_and_standardize(muscle_tensor) \n", + "normalized_muscle_tensor = muscle_tensor\n", "\n", "# Create the dataset with the fixed delay\n", "complicated_dataset = ComplicatedTimeseriesDataset(normalised_inputs, normalized_muscle_tensor, fixed_delay_idx)\n", @@ -283,19 +258,10 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "9aec07a1-d43a-4ba4-ac21-3bb34a35490c", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Shape of inputs - SimpleRNN torch.Size([216, 296, 16])\n", - "Shape of targets - SimpleRNN torch.Size([216, 296, 2])\n" - ] - } - ], + "outputs": [], "source": [ "# Flatten the first two dimensions (conditions and delays)\n", "flattened_inputs = concatenated_tensor.view(-1, *concatenated_tensor.shape[2:])\n", @@ -318,8 +284,8 @@ " return input_seq, target_seq\n", " \n", "# Normalize and Standardize the flattened tensors\n", - "normalised_flattened_inputs = normalize_and_standardize(flattened_inputs)\n", - "normalized_flattened_targets = normalize_and_standardize(flattened_targets)\n", + "normalised_flattened_inputs = flattened_inputs\n", + "normalized_flattened_targets = flattened_targets\n", "\n", "# Create the SimpleRNN dataset\n", "simple_dataset = SimpleTimeseriesDataset(normalised_flattened_inputs, normalized_flattened_targets)\n", @@ -341,7 +307,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "9c841c9a-27b3-414d-b406-56547c285e1c", "metadata": {}, "outputs": [], @@ -387,380 +353,10 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "7e2b6a95-49a0-4f10-8f63-3b85a7f7d7be", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 1, Training Loss: 0.48431089520454407\n", - "Epoch 1, Validation Loss: 0.3117267042398453\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 2, Training Loss: 0.21650200188159943\n", - "Epoch 2, Validation Loss: 0.13732556626200676\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 3, Training Loss: 0.15311689376831056\n", - "Epoch 3, Validation Loss: 0.08775634691119194\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 4, Training Loss: 0.14885280132293702\n", - "Epoch 4, Validation Loss: 0.10878493078052998\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 5, Training Loss: 0.14397056102752687\n", - "Epoch 5, Validation Loss: 0.10849844850599766\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 6, Training Loss: 0.13842442333698274\n", - "Epoch 6, Validation Loss: 0.0897612925618887\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 7, Training Loss: 0.13213588297367096\n", - "Epoch 7, Validation Loss: 0.093491705134511\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 8, Training Loss: 0.12273463755846023\n", - "Epoch 8, Validation Loss: 0.0756654217839241\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 9, Training Loss: 0.10949622690677643\n", - "Epoch 9, Validation Loss: 0.061405548825860023\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 10, Training Loss: 0.094732004404068\n", - "Epoch 10, Validation Loss: 0.034119296818971634\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 11, Training Loss: 0.08476963937282563\n", - "Epoch 11, Validation Loss: 0.019191430415958166\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 12, Training Loss: 0.07949541509151459\n", - "Epoch 12, Validation Loss: 0.01503225788474083\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 13, Training Loss: 0.07636328786611557\n", - "Epoch 13, Validation Loss: 0.01780465804040432\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 14, Training Loss: 0.07662919610738754\n", - "Epoch 14, Validation Loss: 0.011371079599484801\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 15, Training Loss: 0.07308976054191589\n", - "Epoch 15, Validation Loss: 0.00914070918224752\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 16, Training Loss: 0.07122012823820115\n", - "Epoch 16, Validation Loss: 0.006724434671923518\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 17, Training Loss: 0.07113349586725234\n", - "Epoch 17, Validation Loss: 0.022170810494571924\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 18, Training Loss: 0.07282821238040924\n", - "Epoch 18, Validation Loss: 0.0034809935896191746\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 19, Training Loss: 0.06959158778190613\n", - "Epoch 19, Validation Loss: 0.003728940850123763\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 20, Training Loss: 0.06703650206327438\n", - "Epoch 20, Validation Loss: 0.003925931407138705\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 21, Training Loss: 0.0663339376449585\n", - "Epoch 21, Validation Loss: 0.0022490295814350247\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 22, Training Loss: 0.0649287961423397\n", - "Epoch 22, Validation Loss: 0.0031220214441418648\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 23, Training Loss: 0.0644444078207016\n", - "Epoch 23, Validation Loss: 0.0017119260737672448\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 24, Training Loss: 0.06285518035292625\n", - "Epoch 24, Validation Loss: 0.0020408351556397974\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 25, Training Loss: 0.06295280829071999\n", - "Epoch 25, Validation Loss: 0.0009433783125132322\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 26, Training Loss: 0.06194740235805511\n", - "Epoch 26, Validation Loss: 0.0018056363733194303\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 27, Training Loss: 0.06088379621505737\n", - "Epoch 27, Validation Loss: 0.0012499887598096393\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 28, Training Loss: 0.06044650599360466\n", - "Epoch 28, Validation Loss: 0.0019358982099220157\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 29, Training Loss: 0.05924795269966125\n", - "Epoch 29, Validation Loss: 0.0006767058912373614\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 30, Training Loss: 0.05847746804356575\n", - "Epoch 30, Validation Loss: 0.000487323894049041\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 31, Training Loss: 0.05743449479341507\n", - "Epoch 31, Validation Loss: 0.0007081883741193451\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 32, Training Loss: 0.056563370674848554\n", - "Epoch 32, Validation Loss: 0.0009770122705958784\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 33, Training Loss: 0.0557901531457901\n", - "Epoch 33, Validation Loss: 0.0006333118362817913\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 34, Training Loss: 0.05471267178654671\n", - "Epoch 34, Validation Loss: 0.0011265468201600015\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 35, Training Loss: 0.05484756156802177\n", - "Epoch 35, Validation Loss: 0.0008559361158404499\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 36, Training Loss: 0.053729526698589325\n", - "Epoch 36, Validation Loss: 0.0009253016614820808\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 37, Training Loss: 0.05296811833977699\n", - "Epoch 37, Validation Loss: 0.00026397988403914496\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 38, Training Loss: 0.052220243215560916\n", - "Epoch 38, Validation Loss: 0.000332205702761712\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 39, Training Loss: 0.05171764343976974\n", - "Epoch 39, Validation Loss: 0.00023372424038825557\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 40, Training Loss: 0.05110576301813126\n", - "Epoch 40, Validation Loss: 0.00013122101927365293\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 41, Training Loss: 0.05040667653083801\n", - "Epoch 41, Validation Loss: 0.00027026123279938474\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 42, Training Loss: 0.049993721395730974\n", - "Epoch 42, Validation Loss: 0.0005105240561533719\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 43, Training Loss: 0.04943636953830719\n", - "Epoch 43, Validation Loss: 0.0004869068943662569\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 44, Training Loss: 0.04891884550452232\n", - "Epoch 44, Validation Loss: 0.0005392463062889874\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 45, Training Loss: 0.04832502976059914\n", - "Epoch 45, Validation Loss: 0.0002028780127147911\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 46, Training Loss: 0.04779046848416328\n", - "Epoch 46, Validation Loss: 0.00030599114688811824\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 47, Training Loss: 0.04769900962710381\n", - "Epoch 47, Validation Loss: 0.0006259321235120296\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 48, Training Loss: 0.047377268224954604\n", - "Epoch 48, Validation Loss: 0.0006660241633653641\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 49, Training Loss: 0.046614042669534686\n", - "Epoch 49, Validation Loss: 0.0007568215078208596\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([31, 296, 16])\n", - "torch.Size([27, 296, 16])\n", - "Epoch 50, Training Loss: 0.04627134576439858\n", - "Epoch 50, Validation Loss: 0.0008617237326689065\n", - "Early stopping triggered at epoch 50\n", - "Training stopped due to early stopping at epoch 50\n", - "Test Loss: 0.0009741463618411217\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "from torch.cuda.amp import autocast, GradScaler\n", "from torch.autograd import profiler\n", @@ -946,92 +542,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "21dd9a5b-0e80-4464-aa8e-9ec54d225646", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Epoch 1, Training Loss: 0.15695008956309822\n", - "Epoch 1, Validation Loss: 0.026342097902670503\n", - "Epoch 2, Training Loss: 0.07412758304013146\n", - "Epoch 2, Validation Loss: 0.007858747034333646\n", - "Epoch 3, Training Loss: 0.06390274781086999\n", - "Epoch 3, Validation Loss: 0.008749708067625761\n", - "Epoch 4, Training Loss: 0.05933884684216335\n", - "Epoch 4, Validation Loss: 0.008891612982552033\n", - "Epoch 5, Training Loss: 0.05854280309075774\n", - "Epoch 5, Validation Loss: 0.007315689595998265\n", - "Epoch 6, Training Loss: 0.06566502879205574\n", - "Epoch 6, Validation Loss: 0.017094832757720724\n", - "Epoch 7, Training Loss: 0.07621188549738792\n", - "Epoch 7, Validation Loss: 0.023173274588771164\n", - "Epoch 8, Training Loss: 0.09200787312066597\n", - "Epoch 8, Validation Loss: 0.021015203557908535\n", - "Epoch 9, Training Loss: 0.0839892131043598\n", - "Epoch 9, Validation Loss: 0.011369684129022062\n", - "Epoch 10, Training Loss: 0.08025722964602108\n", - "Epoch 10, Validation Loss: 0.007594466820592061\n", - "Epoch 11, Training Loss: 0.06134686434072339\n", - "Epoch 11, Validation Loss: 0.007348120561800897\n", - "Epoch 12, Training Loss: 0.06701098339140622\n", - "Epoch 12, Validation Loss: 0.00842947650971837\n", - "Epoch 13, Training Loss: 0.058957064327033654\n", - "Epoch 13, Validation Loss: 0.007631967891938984\n", - "Epoch 14, Training Loss: 0.05751160917215101\n", - "Epoch 14, Validation Loss: 0.0068876238947268575\n", - "Epoch 15, Training Loss: 0.05915523279044363\n", - "Epoch 15, Validation Loss: 0.014988252660259604\n", - "Epoch 16, Training Loss: 0.07099302453247623\n", - "Epoch 16, Validation Loss: 0.013741326867602766\n", - "Epoch 17, Training Loss: 0.057844196278084486\n", - "Epoch 17, Validation Loss: 0.006831115344539285\n", - "Epoch 18, Training Loss: 0.05816217846909745\n", - "Epoch 18, Validation Loss: 0.010768809705041349\n", - "Epoch 19, Training Loss: 0.05000917186650137\n", - "Epoch 19, Validation Loss: 0.01108649413799867\n", - "Epoch 20, Training Loss: 0.0619603629456833\n", - "Epoch 20, Validation Loss: 0.007360140123637393\n", - "Epoch 21, Training Loss: 0.06614778258942049\n", - "Epoch 21, Validation Loss: 0.0064885522006079555\n", - "Epoch 22, Training Loss: 0.0636884009776016\n", - "Epoch 22, Validation Loss: 0.00809417333221063\n", - "Epoch 23, Training Loss: 0.06533887922867304\n", - "Epoch 23, Validation Loss: 0.014702569926157594\n", - "Epoch 24, Training Loss: 0.06421303185116914\n", - "Epoch 24, Validation Loss: 0.007051900960505009\n", - "Epoch 25, Training Loss: 0.06103697403644522\n", - "Epoch 25, Validation Loss: 0.012288529658690095\n", - "Epoch 26, Training Loss: 0.060153169790282845\n", - "Epoch 26, Validation Loss: 0.007863226113840938\n", - "Epoch 27, Training Loss: 0.058614329952332705\n", - "Epoch 27, Validation Loss: 0.019942265935242176\n", - "Epoch 28, Training Loss: 0.059905505137673266\n", - "Epoch 28, Validation Loss: 0.008385632652789354\n", - "Epoch 29, Training Loss: 0.049825255241658956\n", - "Epoch 29, Validation Loss: 0.010503050754778087\n", - "Epoch 30, Training Loss: 0.05101954949592861\n", - "Epoch 30, Validation Loss: 0.01381216710433364\n", - "Epoch 31, Training Loss: 0.05007439731465032\n", - "Epoch 31, Validation Loss: 0.011786438417402678\n", - "Early stopping triggered at epoch 31\n", - "Training stopped due to early stopping at epoch 31\n", - "Test Loss: 0.12706761746667325\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import torch\n", "import torch.nn as nn\n", @@ -1197,21 +711,10 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "52cd598c-a42e-4219-aa9b-5b7e54710749", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import torch\n", @@ -1247,21 +750,10 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "fa5362de-9acf-4380-af3b-68acded8eb1f", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -1293,21 +785,10 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "825b011e-0fa3-4e5f-a423-0074f069f30c", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -1339,81 +820,10 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": null, "id": "49ee0281-a790-4cce-b4f2-2bd0e8da93a6", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Perturbation strength: 0.0001, Mean Error Difference: 3.606081008911133e-06, Model: SimpleRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 0.001, Mean Error Difference: 2.326369285583496e-05, Model: SimpleRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 0.01, Mean Error Difference: 0.00034785866737365725, Model: SimpleRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 0.1, Mean Error Difference: 0.003044319152832031, Model: SimpleRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 1, Mean Error Difference: 0.03669908046722412, Model: SimpleRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 10, Mean Error Difference: 0.34139525294303896, Model: SimpleRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 100, Mean Error Difference: 0.6207562744617462, Model: SimpleRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 0.0001, Mean Error Difference: 2.9197997517055937e-06, Model: ComplicatedRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 0.001, Mean Error Difference: 2.551575501759847e-05, Model: ComplicatedRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 0.01, Mean Error Difference: 0.00034431533681021794, Model: ComplicatedRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 0.1, Mean Error Difference: 0.0023255099852879844, Model: ComplicatedRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 1, Mean Error Difference: 0.02399214067392879, Model: ComplicatedRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 10, Mean Error Difference: 0.15100222246514428, Model: ComplicatedRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "Perturbation strength: 100, Mean Error Difference: 0.21244932333421376, Model: ComplicatedRNN(\n", - " (output_linear): Linear(in_features=150, out_features=2, bias=True)\n", - ")\n", - "simple model errors [3.606081008911133e-06, 2.326369285583496e-05, 0.00034785866737365725, 0.003044319152832031, 0.03669908046722412, 0.34139525294303896, 0.6207562744617462]\n", - "complex model errors [2.9197997517055937e-06, 2.551575501759847e-05, 0.00034431533681021794, 0.0023255099852879844, 0.02399214067392879, 0.15100222246514428, 0.21244932333421376]\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import torch\n", "import numpy as np\n", @@ -1541,41 +951,10 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": null, "id": "73366bc5-4ce8-4ad0-8eef-9da6044deef4", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Perturbation strength: 0.0001, Mean Error: 0.001174476183950901\n", - "Perturbation strength: 0.001, Mean Error: 0.0009200260159559548\n", - "Perturbation strength: 0.01, Mean Error: 0.003483817633241415\n", - "Perturbation strength: 0.1, Mean Error: 0.18383607566356658\n", - "Perturbation strength: 1, Mean Error: 0.44586546421051027\n", - "Perturbation strength: 10, Mean Error: 0.3920791506767273\n", - "Perturbation strength: 100, Mean Error: 0.5416842341423035\n", - "Perturbation strength: 0.0001, Mean Error: 0.04463797921521796\n", - "Perturbation strength: 0.001, Mean Error: 0.044853096232853\n", - "Perturbation strength: 0.01, Mean Error: 0.04627035042762549\n", - "Perturbation strength: 0.1, Mean Error: 0.06452253928485636\n", - "Perturbation strength: 1, Mean Error: 0.14694945933297276\n", - "Perturbation strength: 10, Mean Error: 0.21318395032236973\n", - "Perturbation strength: 100, Mean Error: 0.13586989372399533\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import numpy as np\n", "import torch\n", @@ -1628,7 +1007,7 @@ " return perturbation_errors\n", "\n", "# Define your perturbation strengths\n", - "perturbation_strengths = [0.0001, 0.001, 0.01, 0.1, 1, 10, 100]\n", + "perturbation_strengths = [0.0001, 0.001, 0.01, 0.1, 1, 10, 100, 1000, 10000, 100000]\n", "\n", "# Get errors for simple and complex models\n", "simple_model_structural_errors = test_perturbed_structure(model, perturbation_strengths, simple_train_loader, criterion, device)\n",