From 1bf5a01b89cefdd71439e46e968434ab41182a93 Mon Sep 17 00:00:00 2001 From: Richard Stanton Date: Fri, 1 Mar 2024 21:24:30 +0000 Subject: [PATCH] paper list --- .../dirichlet_prior_networks.ipynb | 715 +++++++++++------- paper_list.md | 24 + 2 files changed, 457 insertions(+), 282 deletions(-) diff --git a/neural_networks/unfinished-classification_uncertainty/dirichlet_prior_networks.ipynb b/neural_networks/unfinished-classification_uncertainty/dirichlet_prior_networks.ipynb index 57e0c48..f0b3560 100644 --- a/neural_networks/unfinished-classification_uncertainty/dirichlet_prior_networks.ipynb +++ b/neural_networks/unfinished-classification_uncertainty/dirichlet_prior_networks.ipynb @@ -109,7 +109,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -127,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -222,7 +222,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -250,7 +250,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "7791bd8d40474a3492ffa12c3db48251", + "model_id": "3b4ae0d2dd18457092e477fee4820291", "version_major": 2, "version_minor": 0 }, @@ -274,7 +274,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "8589d4391d834b508ce6a2a6d4ae29b3", + "model_id": "ffbd390c960647e5bf5e30178ee463ba", "version_major": 2, "version_minor": 0 }, @@ -288,7 +288,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "0384cf816f45472889ea644ad17f6610", + "model_id": "a8ef8c351aaf48fb82d8cfcaff088281", "version_major": 2, "version_minor": 0 }, @@ -302,7 +302,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "e7401b92b71943c58c2ea6473c480f46", + "model_id": "a68bed391434495594be20b7e9246c1e", "version_major": 2, "version_minor": 0 }, @@ -316,7 +316,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "258a1b4ceaab4854a9bd07c03496f0cf", + "model_id": "eba37752bc9244a193c9fff87b7aba58", "version_major": 2, "version_minor": 0 }, @@ -351,22 +351,22 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/_v/nlh4h1yx2n1gd6f3szjlgxt40000gr/T/ipykernel_57004/804253465.py:16: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + "/var/folders/_v/nlh4h1yx2n1gd6f3szjlgxt40000gr/T/ipykernel_73909/804253465.py:16: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " fig.show()\n", - "/var/folders/_v/nlh4h1yx2n1gd6f3szjlgxt40000gr/T/ipykernel_57004/804253465.py:25: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + "/var/folders/_v/nlh4h1yx2n1gd6f3szjlgxt40000gr/T/ipykernel_73909/804253465.py:25: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " fig.show()\n" ] }, { "data": { - "image/png": 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", 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", 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", 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", "text/plain": [ "
" ] @@ -422,24 +422,23 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import torch.nn.functional as F\n", "\n", "\n", - "def plot_multiple_digits(model, batch_data, batch_labels, n_images:int=10):\n", + "def plot_multiple_digits(model, batch_data, batch_labels, n_images: int = 10):\n", " \"plot a grid of 5 images with their predictions\"\n", - " fig, ax = plt.subplots(figsize=(10, 4), ncols=n_images)\n", + " fig, ax = plt.subplots(figsize=(14, 4), ncols=n_images)\n", " for i in range(n_images):\n", " output_probs = F.softmax(model(batch_data[[i], :]), dim=1)[0]\n", " ax[i].imshow(batch_data[i].squeeze().numpy(), cmap=\"gray\")\n", " ax[i].set_title(\n", - " f\"Prediction: {output_probs[batch_labels[i]]:0.2f}\\nLabel: {batch_labels[i]}\"\n", + " f\"Pred: {torch.argsort(output_probs)[-1]}\\nPred%: {output_probs[torch.argsort(output_probs)[-1]]:0.2f}\\nLabel: {batch_labels[i]}\\nLabel%: {output_probs[batch_labels[i]]:0.2f}\"\n", " )\n", - " ax[i].axis(\"off\")\n", - " return output_probs" + " ax[i].axis(\"off\")" ] }, { @@ -451,14 +450,14 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] }, "metadata": {}, @@ -471,34 +470,14 @@ }, { "cell_type": "code", - "execution_count": 90, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([5, 3, 0, 1, 2, 6, 8, 7, 9, 4])" - ] - }, - "execution_count": 90, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "torch.argsort(output_probs)" - ] - }, - { - "cell_type": "code", - "execution_count": 56, + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "['0.00', '0.00', '0.00', '0.00', '0.00', '0.00', '0.00', '0.99', '0.00', '0.00']\n" + "['0.00', '0.00', '0.00', '1.00', '0.00', '0.00', '0.00', '0.00', '0.00', '0.00']\n" ] } ], @@ -526,7 +505,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -572,7 +551,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -583,14 +562,14 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" ] }, "metadata": {}, @@ -601,248 +580,150 @@ "plot_multiple_digits(model, batch_rotated_data, batch_rotated_labels)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Dirichlet model\n", + "\n", + "We use the same network, but use the outputs as parameters for a Dirichlet distribution to act as a prior for the output multinomial distribution.\n", + "\n", + "\n", + "Paper reference: https://arxiv.org/pdf/1806.01768.pdf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Original logits output for a multinomial" + ] + }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 39, "metadata": {}, "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "/var/folders/_v/nlh4h1yx2n1gd6f3szjlgxt40000gr/T/ipykernel_57004/695705980.py:4: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", - " fig.show()\n" + "torch.Size([1024, 64, 7, 7])\n", + "torch.Size([1024, 3136])\n", + "torch.Size([1024, 10])\n" ] }, { "data": { - "image/png": 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", "text/plain": [ - "
" + "tensor([[1.0740e-04, 4.6795e-06, 1.4407e-03, 1.0600e-02, 8.6712e-02, 1.2271e-03,\n", + " 2.7817e-04, 2.9068e-01, 2.2229e-03, 6.0672e-01],\n", + " [5.3206e-08, 3.4645e-10, 2.6333e-04, 9.9962e-01, 1.6306e-08, 1.9286e-05,\n", + " 5.3828e-11, 3.9853e-09, 4.4153e-05, 5.7737e-05]],\n", + " grad_fn=)" ] }, + "execution_count": 39, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], "source": [ - "fig, ax = plt.subplots(figsize=(6, 4))\n", - "ax.imshow(batch_rotated_data[0,0,:].numpy(), cmap='gray')\n", - "ax.set_title(f\"Label: {batch_rotated_labels[0].item()}\")\n", - "fig.show()" + "x = model.features(batch_rotated_data)\n", + "print(x.shape)\n", + "x = x.view(batch_rotated_data.size(0), -1)\n", + "print(x.shape)\n", + "logits = model.classifier(x)\n", + "print(logits.shape)\n", + "\n", + "F.softmax(logits, dim=1)[:2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Dirichlet distribution" ] }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 96, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "tensor([8, 3, 7, ..., 0, 9, 8])" ] }, + "execution_count": 96, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], "source": [ - "import torch\n", - "from torchvision import datasets, transforms\n", - "import matplotlib.pyplot as plt\n", - "import random\n", - "\n", - "# Load the MNIST dataset\n", - "transform = transforms.Compose([transforms.ToTensor(), transforms.Normalize((0.5,), (0.5,))])\n", - "mnist_dataset = datasets.MNIST(root='./data', train=True, download=True, transform=transform)\n", - "mnist_dataloader = torch.utils.data.DataLoader(mnist_dataset, batch_size=1, shuffle=True)\n", - "\n", - "# Get a random digit from the dataset\n", - "original_image, label = next(iter(mnist_dataloader))\n", - "\n", - "# Choose a random rotation angle (in degrees)\n", - "rotation_angle = 90#random.uniform(-30, 30)\n", - "\n", - "# Apply rotation transformation\n", - "rotate_transform = transforms.Compose([transforms.ToPILImage(), transforms.RandomRotation(rotation_angle), transforms.ToTensor()])\n", - "rotated_image = rotate_transform(original_image[0])\n", - "\n", - "# Plot the original and rotated digits\n", - "plt.subplot(1, 2, 1)\n", - "plt.title(\"Original Digit\")\n", - "plt.imshow(original_image[0][0], cmap='gray')\n", - "\n", - "plt.subplot(1, 2, 2)\n", - "plt.title(\"Rotated Digit\")\n", - "plt.imshow(rotated_image[0], cmap='gray')\n", - "\n", - "plt.show()\n" + "batch_rotated_labels" ] }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 106, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "tensor([[[[-0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242,\n", - " -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242,\n", - " -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242,\n", - " -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242],\n", - " [-0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242,\n", - " -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242,\n", - " -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242,\n", - 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" -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242, -0.4242]]]])" + "tensor(1705.9429, grad_fn=)" ] }, - "execution_count": 57, + "execution_count": 106, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "batch_data[[0], :]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "fig, ax = plt.subplots(figsize=(6, 4))\n", - "ax.imshow(batch_data[0,0,:].numpy(), cmap='gray')\n", - "ax.set_title(f\"Label: {batch_labels[0].item()}\")\n", - "fig.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Dirichlet model\n", + "K = 10 # self.n_classes\n", + "\n", + "# formulation 1\n", + "evidence = nn.ReLU()(logits)\n", + "S = torch.sum(evidence + 1, dim=1)\n", + "b_k = torch.divide(evidence, S.view(-1, 1))\n", + "u = K / S\n", + "\n", + "# formulation 2\n", + "evidence = nn.ReLU()(logits)\n", + "alpha = evidence + 1 # concentration parameters of the dirichlet distribution\n", + "S = torch.sum(alpha, dim=1)\n", + "b_k = torch.divide(alpha - 1, S.view(-1, 1))\n", + "u = K / S\n", + "\n", + "torch.sum(b_k, dim=1) + u # all sum correctly to 1\n", + "\n", + "alpha/S.view(-1, 1) # class probabilities\n", "\n", - "Instead of modelling the " + "# loss function - pdf -> likelihood, given the correct class = 1, all others = 0\n", + "# 1/B(alpha) Prod_i x_i^(alpha_i-1)\n", + "\n", + "# sum over k outcome_k * (log(S) - log(alpha_k))\n", + "(torch.log(S).view(-1, 1) - torch.log(alpha))\n", + "alpha[batch_rotated_labels].shape\n", + "\n", + "# select alpha values from only the positive class, all others are multiplied by 0 so dont calculate\n", + "alpha_positive = alpha[torch.arange(alpha.size(0)), batch_rotated_labels]\n", + "(torch.log(S) - torch.log(alpha_positive)).sum()\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 107, "metadata": {}, "outputs": [], "source": [ "import torch.nn as nn\n", "\n", "\n", - "class MNISTModel(pl.LightningModule):\n", + "class DirichletModel(pl.LightningModule):\n", " def __init__(self, learning_rate=1e-3, n_classes:int=10):\n", " super().__init__()\n", "\n", @@ -869,21 +750,45 @@ "\n", " def forward(self, x):\n", " x = self.features(x)\n", - " x = x.view(x.size(0), -1)\n", - " x = self.classifier(x)\n", - " return x\n", + " x = x.view(x.size(0), -1) # flatten 2D channels to single vector for the linear layers\n", + " logits = self.classifier(x)\n", + "\n", + " # logits to evidence (relu, must be positive)\n", + " evidence = nn.ReLU()(logits)\n", + " alpha = evidence + 1 # concentration parameters of the dirichlet distribution\n", + " return alpha\n", + " \n", + " # S = torch.sum(alpha, dim=1)\n", + " \n", + " # b_k = torch.divide(alpha - 1, S.view(-1, 1))\n", + " # K = self.n_classes\n", + " # u = K / S\n", + "\n", + " return alpha/S.view(-1, 1) # class probabilities\n", + "\n", + " def loss_function(self, labels, alpha):\n", + " # labels are the index of the positive class per row\n", + " # select alpha values from only the positive class, all others are multiplied by 0 so dont calculate\n", + " alpha_positive = alpha[torch.arange(alpha.size(0)), labels]\n", + " S = torch.sum(alpha, dim=1)\n", + " return (torch.log(S) - torch.log(alpha_positive)).sum()\n", + "\n", + " def concentration_to_probs(self, alpha):\n", + " S = torch.sum(alpha, dim=1)\n", + " return alpha/S.view(-1, 1) # class probabilities\n", "\n", " def training_step(self, batch, batch_idx):\n", " data, labels = batch\n", - " predictions = self(data)\n", - " loss = nn.CrossEntropyLoss()(predictions, labels)\n", + " alpha = self(data)\n", + "\n", + " loss = self.loss_function(labels, alpha)\n", "\n", " # Track training loss\n", " self.train_log_error.append(loss.item())\n", - " # loss.detach().numpy()\n", - "\n", + " \n", " # Calculate training accuracy\n", - " _, predicted = torch.max(predictions, 1)\n", + " probs = self.concentration_to_probs(alpha)\n", + " _, predicted = torch.max(probs, 1)\n", " correct = (predicted == labels).sum().item()\n", " accuracy = correct / labels.size(0)\n", "\n", @@ -894,15 +799,17 @@ " \n", " def validation_step(self, batch, batch_idx):\n", " data, labels = batch\n", - " predictions = self(data)\n", - " loss = nn.CrossEntropyLoss()(predictions, labels)\n", + " alpha = self(data)\n", + "\n", + " loss = self.loss_function(labels, alpha)\n", "\n", " # Track training loss\n", " self.val_log_error.append(loss.item())\n", " # loss.detach().numpy()\n", "\n", " # Calculate training accuracy\n", - " _, predicted = torch.max(predictions, 1)\n", + " probs = self.concentration_to_probs(alpha)\n", + " _, predicted = torch.max(probs, 1)\n", " correct = (predicted == labels).sum().item()\n", " accuracy = correct / labels.size(0)\n", "\n", @@ -919,6 +826,253 @@ " return optimizer\n" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Train model" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/stantoon/miniconda3/envs/pytorch_env/lib/python3.10/site-packages/pytorch_lightning/trainer/connectors/accelerator_connector.py:478: LightningDeprecationWarning: Setting `Trainer(gpus=1)` is deprecated in v1.7 and will be removed in v2.0. Please use `Trainer(accelerator='gpu', devices=1)` instead.\n", + " rank_zero_deprecation(\n", + "GPU available: True (mps), used: True\n", + "TPU available: False, using: 0 TPU cores\n", + "IPU available: False, using: 0 IPUs\n", + "HPU available: False, using: 0 HPUs\n", + "\n", + " | Name | Type | Params\n", + "------------------------------------------\n", + "0 | features | Sequential | 18.8 K\n", + "1 | classifier | Sequential | 402 K \n", + "------------------------------------------\n", + "421 K Trainable params\n", + "0 Non-trainable params\n", + "421 K Total params\n", + "1.687 Total estimated model params size (MB)\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "f60dc0c717674ac0af53746e845c6e36", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Sanity Checking: 0it [00:00, ?it/s]" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/stantoon/miniconda3/envs/pytorch_env/lib/python3.10/site-packages/pytorch_lightning/trainer/connectors/data_connector.py:224: PossibleUserWarning: The dataloader, val_dataloader 0, does not have many workers which may be a bottleneck. Consider increasing the value of the `num_workers` argument` (try 8 which is the number of cpus on this machine) in the `DataLoader` init to improve performance.\n", + " rank_zero_warn(\n", + "/Users/stantoon/miniconda3/envs/pytorch_env/lib/python3.10/site-packages/pytorch_lightning/trainer/connectors/data_connector.py:224: PossibleUserWarning: The dataloader, train_dataloader, does not have many workers which may be a bottleneck. Consider increasing the value of the `num_workers` argument` (try 8 which is the number of cpus on this machine) in the `DataLoader` init to improve performance.\n", + " rank_zero_warn(\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "cc037361026443ba85762a49b5d13102", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Training: 0it [00:00, ?it/s]" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "0c205b380bd245d38c7945bc206f3205", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Validation: 0it [00:00, ?it/s]" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "b9854448bb31440e8235d8e14376a219", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Validation: 0it [00:00, ?it/s]" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "aa88333f3cd94151923bfda7584a2457", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Validation: 0it [00:00, ?it/s]" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "`Trainer.fit` stopped: `max_epochs=3` reached.\n" + ] + } + ], + "source": [ + "model_d = DirichletModel()\n", + "\n", + "trainer = pl.Trainer(max_epochs=3, gpus=1, accelerator=\"mps\")\n", + "trainer.fit(model_d, data_module)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting training performance shows we have converged nicely." + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/_v/nlh4h1yx2n1gd6f3szjlgxt40000gr/T/ipykernel_73909/1358147501.py:16: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + " fig.show()\n", + "/var/folders/_v/nlh4h1yx2n1gd6f3szjlgxt40000gr/T/ipykernel_73909/1358147501.py:25: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + " fig.show()\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "\n", + "\n", + "def moving_average(x, window_size):\n", + " \"\"\"Calculate the moving average of a list using numpy.\"\"\"\n", + " return np.convolve(x, np.ones(window_size) / window_size, mode=\"valid\")\n", + "\n", + "\n", + "fig, ax = plt.subplots(figsize=(6, 4))\n", + "ax.plot(moving_average(model_d.train_log_error, 100), label=\"train\")\n", + "ax.plot(moving_average(model_d.val_log_error, 3), label=\"val\")\n", + "ax.set_title(f\"Training error\")\n", + "ax.set_xlabel(\"Batches\")\n", + "ax.set_ylabel(\"LL\")\n", + "ax.legend()\n", + "fig.show()\n", + "\n", + "fig, ax = plt.subplots(figsize=(6, 4))\n", + "ax.plot(moving_average(model_d.train_log_acc, 100), label=\"train\")\n", + "ax.plot(moving_average(model_d.val_log_acc, 3), label=\"val\")\n", + "ax.set_title(f\"Training Accuracy\")\n", + "ax.set_xlabel(\"Batches\")\n", + "ax.set_ylabel(\"Accuracy\")\n", + "ax.legend()\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The model is very certain this is a 7. The model probabilities are given as:" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "output_probs = plot_multiple_digits(model_d, batch_data, batch_labels)" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "output_probs = plot_multiple_digits(model, batch_data, batch_labels)" + ] + }, { "cell_type": "code", "execution_count": null, @@ -951,12 +1105,16 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# TODO" + "# TODO\n", + "\n", + "* KL divergence\n", + "* Simulate with two classes - is it equivalent to beta distribtuions\n", + "* simulate with three classes and plot distributions" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -1047,7 +1205,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -1098,14 +1256,14 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/_v/nlh4h1yx2n1gd6f3szjlgxt40000gr/T/ipykernel_46321/90226784.py:9: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", + "/var/folders/_v/nlh4h1yx2n1gd6f3szjlgxt40000gr/T/ipykernel_18424/90226784.py:9: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", " fig.show()\n" ] }, @@ -1141,7 +1299,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -1150,7 +1308,7 @@ "tensor(-0.4328)" ] }, - "execution_count": 4, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -1173,7 +1331,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -1251,7 +1409,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 23, "metadata": {}, "outputs": [], "source": [ @@ -1269,26 +1427,19 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 24, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/_v/nlh4h1yx2n1gd6f3szjlgxt40000gr/T/ipykernel_46321/4198434410.py:10: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n", - " fig.show()\n" + "ename": "NameError", + "evalue": "name 'scipy' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[24], line 3\u001b[0m\n\u001b[1;32m 1\u001b[0m x \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mlinspace(\u001b[38;5;241m0\u001b[39m, \u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m1000\u001b[39m)\n\u001b[1;32m 2\u001b[0m output_dist \u001b[38;5;241m=\u001b[39m model()\n\u001b[0;32m----> 3\u001b[0m y \u001b[38;5;241m=\u001b[39m \u001b[43mscipy\u001b[49m\u001b[38;5;241m.\u001b[39mstats\u001b[38;5;241m.\u001b[39mbeta(output_dist\u001b[38;5;241m.\u001b[39mconcentration0\u001b[38;5;241m.\u001b[39mdetach()\u001b[38;5;241m.\u001b[39mnumpy(), output_dist\u001b[38;5;241m.\u001b[39mconcentration1\u001b[38;5;241m.\u001b[39mdetach()\u001b[38;5;241m.\u001b[39mnumpy())\u001b[38;5;241m.\u001b[39mpdf(x)\n\u001b[1;32m 5\u001b[0m fig, ax \u001b[38;5;241m=\u001b[39m plt\u001b[38;5;241m.\u001b[39msubplots(figsize\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m6\u001b[39m, \u001b[38;5;241m4\u001b[39m))\n\u001b[1;32m 6\u001b[0m ax\u001b[38;5;241m.\u001b[39mplot(x, y, label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mPrior distribution\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n", + "\u001b[0;31mNameError\u001b[0m: name 'scipy' is not defined" ] - }, - { - "data": { - "image/png": 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", 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