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@amaarora
Created March 14, 2021 00:55
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Notebook to compare performance b/w various Optimizers including implementations from scratch.
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# \"Adam\" and friends"
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "%load_ext autoreload\n%autoreload 2",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import torch\nimport torch.optim as optim \nimport timm\nfrom timm.data import create_dataset, create_loader\nimport numpy as np \nfrom matplotlib import pyplot as plt\nimport torchvision\nimport torch.nn as nn \nfrom tqdm import tqdm\nfrom collections import defaultdict\nimport logging \nlogging.getLogger().setLevel(logging.INFO)",
"execution_count": 2,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "DATA_DIR = '../imagenette2-320/'",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"heading_collapsed": true
},
"cell_type": "markdown",
"source": "## Data Dir"
},
{
"metadata": {
"hidden": true
},
"cell_type": "markdown",
"source": "The directory structure of the data dir looks something like: \n\n```\nimagenette2-320\n├── train\n│ ├── n01440764\n│ ├── n02102040\n│ ├── n02979186\n│ ├── n03000684\n│ ├── n03028079\n│ ├── n03394916\n│ ├── n03417042\n│ ├── n03425413\n│ ├── n03445777\n│ └── n03888257\n└── val\n ├── n01440764\n ├── n02102040\n ├── n02979186\n ├── n03000684\n ├── n03028079\n ├── n03394916\n ├── n03417042\n ├── n03425413\n ├── n03445777\n └── n03888257\n```"
},
{
"metadata": {
"heading_collapsed": true
},
"cell_type": "markdown",
"source": "## Train and Val dataset"
},
{
"metadata": {
"trusted": true,
"hidden": true
},
"cell_type": "code",
"source": "train_dataset = create_dataset(\"train\", DATA_DIR, \"train\")\ntrain_loader = create_loader(train_dataset, input_size=(3, 320, 320), batch_size=8, use_prefetcher=False, \n is_training=True, no_aug=True)\nlen(train_dataset)",
"execution_count": 4,
"outputs": [
{
"data": {
"text/plain": "9469"
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true,
"hidden": true
},
"cell_type": "code",
"source": "val_dataset = create_dataset(\"val\", DATA_DIR, \"val\")\nval_loader = create_loader(val_dataset, input_size=(3, 320, 320), batch_size=8, use_prefetcher=False)\nlen(val_dataset)",
"execution_count": 5,
"outputs": [
{
"data": {
"text/plain": "3925"
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true,
"hidden": true
},
"cell_type": "code",
"source": "# https://github.com/fastai/imagenette\nclass_names = ['tench', 'English springer', 'cassette player', 'chain saw', 'church', \n 'French horn', 'garbage truck', 'gas pump', 'golf ball', 'parachute']",
"execution_count": 6,
"outputs": []
},
{
"metadata": {
"scrolled": true,
"trusted": true,
"hidden": true
},
"cell_type": "code",
"source": "def imshow(inp, title=None):\n \"\"\"Imshow for Tensor.\"\"\"\n inp = inp.numpy().transpose((1, 2, 0))\n mean = np.array([0.485, 0.456, 0.406])\n std = np.array([0.229, 0.224, 0.225])\n inp = std * inp + mean\n inp = np.clip(inp, 0, 1)\n plt.imshow(inp)\n if title is not None:\n plt.title(title)\n plt.pause(0.001) \n\n \ninputs, classes = next(iter(train_loader))\nout = torchvision.utils.make_grid(inputs, nrow=4)\nimshow(out, title=[class_names[x.item()] for x in classes])",
"execution_count": 7,
"outputs": [
{
"data": {
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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {
"heading_collapsed": true
},
"cell_type": "markdown",
"source": "## Train one epoch"
},
{
"metadata": {
"hidden": true,
"trusted": true
},
"cell_type": "code",
"source": "loss_fn = nn.CrossEntropyLoss()\nmodel = timm.create_model('resnet34', pretrained=False, num_classes=10)",
"execution_count": 8,
"outputs": []
},
{
"metadata": {
"hidden": true,
"trusted": true
},
"cell_type": "code",
"source": "model(inputs).shape",
"execution_count": 9,
"outputs": [
{
"data": {
"text/plain": "torch.Size([8, 10])"
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"hidden": true,
"trusted": true
},
"cell_type": "code",
"source": "class AverageMeter:\n \"\"\"\n Computes and stores the average and current value\n \"\"\"\n\n def __init__(self):\n self.val = 0\n self.avg = 0\n self.sum = 0\n self.count = 0\n\n def reset(self):\n self.val = 0\n self.avg = 0\n self.sum = 0\n self.count = 0\n\n def update(self, val, n=1):\n self.val = val\n self.sum += val * n\n self.count += n\n self.avg = self.sum / self.count",
"execution_count": 10,
"outputs": []
},
{
"metadata": {
"hidden": true,
"trusted": true
},
"cell_type": "code",
"source": "def train_one_epoch(loader, model, optim_class = 'SGD', loss_fn = nn.CrossEntropyLoss(), **optim_kwargs):\n model = timm.create_model('resnet34', pretrained=False, num_classes=10)\n logging.info(f\"\\ncreated model: {model.__class__.__name__}\")\n \n if isinstance(optim_class, str):\n optim_class = getattr(torch.optim, optim_class)\n optimizer = optim_class(model.parameters(), **optim_kwargs)\n else:\n optimizer = optim_class(model.parameters(), **optim_kwargs)\n logging.info(f\"created optimizer: {optimizer.__class__.__name__}, with params {optim_kwargs}\")\n \n losses = []\n loss_avg = AverageMeter()\n model = model.cuda()\n tk0 = tqdm(enumerate(loader), total=len(loader))\n for i, (inputs, targets) in tk0:\n inputs = inputs.cuda()\n targets = targets.cuda()\n preds = model(inputs)\n loss = loss_fn(preds, targets)\n loss.backward()\n optimizer.step()\n optimizer.zero_grad()\n loss_avg.update(loss.item(), loader.batch_size)\n losses.append(loss_avg.avg)\n tk0.set_postfix(loss=loss.item())\n \n if not isinstance(optim_class, str):\n optim_class = optim_class.__name__\n if 'momentum' in optim_kwargs :\n optim_class = optim_class + '_with_momentum'\n\n return {optim_class: losses}",
"execution_count": 11,
"outputs": []
},
{
"metadata": {
"hidden": true,
"trusted": true
},
"cell_type": "code",
"source": "train_loader",
"execution_count": 12,
"outputs": [
{
"data": {
"text/plain": "<torch.utils.data.dataloader.DataLoader at 0x7f6df60bb6d0>"
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"hidden": true,
"trusted": true
},
"cell_type": "code",
"source": "# increase the batch size\ntrain_loader = create_loader(train_dataset, input_size=(3, 320, 320), batch_size=64, use_prefetcher=False, \n is_training=True, no_aug=True, num_workers=40)",
"execution_count": 13,
"outputs": []
},
{
"metadata": {
"hidden": true,
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "losses_dict = {}\n\nfor optim_class, opt_kwargs in zip(\n ['SGD', 'SGD', 'RMSprop', 'Adam'], [{'lr': 1e-4}, {'lr':1e-4, 'momentum': 0.9}, {'lr': 1e-4}, {'lr': 1e-4}]\n):\n loss_dict = train_one_epoch(train_loader, model, optim_class=optim_class, **opt_kwargs)\n losses_dict.update(loss_dict)",
"execution_count": 14,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "INFO:root:\ncreated model: ResNet\nINFO:root:created optimizer: SGD, with params {'lr': 0.0001}\n100%|██████████| 147/147 [00:30<00:00, 4.83it/s, loss=2.34]\nINFO:root:\ncreated model: ResNet\nINFO:root:created optimizer: SGD, with params {'lr': 0.0001, 'momentum': 0.9}\n100%|██████████| 147/147 [00:30<00:00, 4.86it/s, loss=2.26]\nINFO:root:\ncreated model: ResNet\nINFO:root:created optimizer: RMSprop, with params {'lr': 0.0001}\n100%|██████████| 147/147 [00:30<00:00, 4.82it/s, loss=1.67]\nINFO:root:\ncreated model: ResNet\nINFO:root:created optimizer: Adam, with params {'lr': 0.0001}\n100%|██████████| 147/147 [00:30<00:00, 4.81it/s, loss=1.76]\n"
}
]
},
{
"metadata": {
"heading_collapsed": true
},
"cell_type": "markdown",
"source": "## Comparing the different optimizers - `SGD`, `SGD with Momentum`, `Adam`"
},
{
"metadata": {
"hidden": true,
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "for k, v in losses_dict.items():\n plt.plot(range(1, len(v) + 1), v, '.-', label=k)\n plt.grid()\n \nplt.legend() \nplt.show()",
"execution_count": 15,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {
"hidden": true
},
"cell_type": "markdown",
"source": "We can see `Adam` is performing the best out of the three and is able to reduce the loss at a much faster pace. In the following section we will recreate the three optimizers ourselves and also try to understand what's `Adam`."
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Creating our own Optimizer"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "class Optimizer(object):\n def __init__(self, params, **defaults):\n self.params = list(params)\n self.defaults = defaults\n \n def grad_params(self):\n return [p for p in self.params if p.grad is not None]\n \n def step(self): \n raise NotImplementedError\n \n def zero_grad(self):\n for p in self.grad_params():\n p.grad.zero_()",
"execution_count": 16,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "class SGDOptimizer(Optimizer):\n def __init__(self, params, **defaults):\n super().__init__(params, **defaults)\n \n def step(self):\n for p in self.grad_params():\n p.data.add_(p.grad.data, alpha=-self.defaults['lr'])",
"execution_count": 17,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## `SGD` Optimizer"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "optim_fn = SGDOptimizer(model.parameters(), lr=1e-4)\n\n# no gradients set yet\nlen(optim_fn.params), len(optim_fn.grad_params())",
"execution_count": 18,
"outputs": [
{
"data": {
"text/plain": "(110, 0)"
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "sgd_loss = train_one_epoch(train_loader, model, optim_class=SGDOptimizer, lr=1e-4)",
"execution_count": 19,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "INFO:root:\ncreated model: ResNet\nINFO:root:created optimizer: SGDOptimizer, with params {'lr': 0.0001}\n100%|██████████| 147/147 [00:30<00:00, 4.88it/s, loss=2.34]\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "losses_dict.update(sgd_loss)",
"execution_count": 20,
"outputs": []
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "for k, v in losses_dict.items():\n if k in ('SGD', 'SGDOptimizer'):\n plt.plot(range(1, len(v) + 1), v, '.-', label=k)\n plt.grid();\n \nplt.legend() \nplt.show()",
"execution_count": 21,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## `SGD` Optimizer with `Momentum`"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Now, to add `Momentum`, we need `state`. From the [paper](http://www.cs.toronto.edu/~hinton/absps/momentum.pdf), momentum is basically defined as: "
},
{
"metadata": {},
"cell_type": "markdown",
"source": "$\\begin{align}\nv_{t+1} &= µ*v_{t} - ε Δ f(θ_{t}) \\\\\nθ_{t+1} &= θ_{t} + v_{t+1} \\\\\n\\end{align}$"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Essentially, if `µ` represents momentum, then we do `µ` times the last step plus the current step. Thus, we need to be able to store some `state` which contains the information regarding our last update. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "class SGDOptimizer(Optimizer):\n def __init__(self, params, **defaults):\n super().__init__(params, **defaults)\n self.lr = defaults['lr']\n self.µ = defaults['momentum']\n self.state = defaultdict(dict)\n \n def step(self):\n for p in self.grad_params():\n param_state = self.state[p]\n \n d_p = p.grad.data \n if 'moment_buffer' not in param_state:\n buf = param_state['moment_buffer'] = torch.clone(d_p).detach()\n else:\n buf = param_state['moment_buffer']\n \n buf.mul_(self.µ).add_(d_p)\n \n p.data.add_(buf, alpha=-self.lr)",
"execution_count": 22,
"outputs": []
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "sgd_loss_mom = train_one_epoch(train_loader, model, optim_class=SGDOptimizer, lr=1e-4, momentum=0.9)",
"execution_count": 23,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "INFO:root:\ncreated model: ResNet\nINFO:root:created optimizer: SGDOptimizer, with params {'lr': 0.0001, 'momentum': 0.9}\n100%|██████████| 147/147 [00:30<00:00, 4.82it/s, loss=2.21]\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "losses_dict.update(sgd_loss_mom)",
"execution_count": 24,
"outputs": []
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "for k, v in losses_dict.items():\n if k in ('SGD_with_momentum', 'SGDOptimizer', 'SGDOptimizer_with_momentum'):\n plt.plot(range(1, len(v) + 1), v, '.-', label=k)\n plt.grid();\n \nplt.legend() \nplt.show()",
"execution_count": 25,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## RMSProp"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "The update for `RMSProp` can be represented as below: "
},
{
"metadata": {},
"cell_type": "markdown",
"source": "$\\begin{align}\nMeanSquare(w, t) &= 0.99 * MeanSquare(w, t-1) + 0.01 * (\\frac{∂E_{t}}{∂W_{t}})^2 \\\\\n𝜃_{t} &= 𝜃_{t} - \\epsilon * \\frac{∂E_{t}/∂W_{t}}{ MeanSquare(w, t) } \\\\\n\\end{align}$"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "In simple words, we keep an exponentially weighted moving average of the gradients squared and call it `MeanSquare`. \n\nFinally, when we are updating the parameters, instead of going `param = param - learning_rate * grad`, we do: \n\n```\nparam = param - learning_rate * (grad / MeanSquare)\n```"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Let's see how we can implement this in PyTorch. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "class RMSPropOptimizer(Optimizer):\n def __init__(self, params, **defaults):\n super().__init__(params, **defaults)\n self.lr = defaults['lr']\n self.α = defaults['alpha']\n self.eps = defaults['epsilon']\n self.state = defaultdict(dict)\n \n def step(self):\n for p in self.grad_params():\n param_state = self.state[p]\n \n d_p = p.grad.data \n if 'exp_avg_sq' not in param_state:\n exp_avg_sq = param_state['exp_avg_sq'] = torch.zeros_like(p, memory_format=torch.preserve_format)\n else:\n exp_avg_sq = param_state['exp_avg_sq']\n \n exp_avg_sq.mul_(self.α).addcmul_(d_p, d_p, value=1-self.α)\n denom = exp_avg_sq.sqrt().add_(self.eps)\n \n p.data.addcdiv_(d_p, denom, value=-self.lr)",
"execution_count": 26,
"outputs": []
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "rmsprop_loss = train_one_epoch(train_loader, model, optim_class=RMSPropOptimizer, lr=1e-4, alpha=0.99, epsilon=1e-8)",
"execution_count": 27,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "INFO:root:\ncreated model: ResNet\nINFO:root:created optimizer: RMSPropOptimizer, with params {'lr': 0.0001, 'alpha': 0.99, 'epsilon': 1e-08}\n100%|██████████| 147/147 [00:30<00:00, 4.81it/s, loss=1.51]\n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "losses_dict.update(rmsprop_loss)",
"execution_count": 28,
"outputs": []
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "for k, v in losses_dict.items():\n if k in ('RMSprop', 'RMSPropOptimizer'):\n plt.plot(range(1, len(v) + 1), v, '.-', label=k)\n plt.grid();\n \nplt.legend() \nplt.show()",
"execution_count": 29,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Adam"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Finally, we are here. After having met all his friends, it's finally time to meet \"Adam\" :) "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "class AdamOptimizer(Optimizer):\n def __init__(self, params, **defaults):\n super().__init__(params, **defaults)\n self.lr = defaults['lr']\n self.ß1 = defaults['beta1']\n self.ß2 = defaults['beta2']\n self.eps = defaults['epsilon']\n self.state = defaultdict(dict)\n self.state_step = 0\n \n def step(self):\n for p in self.grad_params():\n self.state_step+=1\n param_state = self.state[p]\n \n d_p = p.grad.data \n \n if 'exp_avg' not in param_state:\n exp_avg = param_state['exp_avg'] = torch.zeros_like(p, memory_format=torch.preserve_format)\n else:\n exp_avg = param_state['exp_avg']\n \n if 'exp_avg_sq' not in param_state:\n exp_avg_sq = param_state['exp_avg_sq'] = torch.zeros_like(p, memory_format=torch.preserve_format)\n else:\n exp_avg_sq = param_state['exp_avg_sq']\n \n exp_avg.mul_(self.ß1).add_(d_p, alpha=1-self.ß1)\n exp_avg_sq.mul_(self.ß2).addcmul_(d_p, d_p, value=1-self.ß2)\n\n bias_correction_1 = 1 - self.ß1**self.state_step\n bias_correction_2 = 1 - self.ß2**self.state_step\n \n unbiased_exp_avg = exp_avg/bias_correction_1\n unbiased_exp_avg_sq = exp_avg_sq/bias_correction_2\n \n denom = unbiased_exp_avg_sq.sqrt().add_(self.eps)\n \n step_size = self.lr / bias_correction_1\n \n p.data.addcdiv_(unbiased_exp_avg, denom, value=-step_size)",
"execution_count": 30,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "adam_loss = train_one_epoch(train_loader, model, \n optim_class=AdamOptimizer, \n lr=1e-4, \n beta1=0.9, \n beta2=0.99,\n epsilon=1e-8)",
"execution_count": 31,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": "INFO:root:\ncreated model: ResNet\nINFO:root:created optimizer: AdamOptimizer, with params {'lr': 0.0001, 'beta1': 0.9, 'beta2': 0.99, 'epsilon': 1e-08}\n100%|██████████| 147/147 [00:30<00:00, 4.77it/s, loss=1.6] \n"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "losses_dict.update(adam_loss)",
"execution_count": 32,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "for k, v in losses_dict.items():\n if k in ('Adam', 'AdamOptimizer'):\n plt.plot(range(1, len(v) + 1), v, '.-', label=k)\n plt.grid();\n\nplt.legend() \nplt.show()",
"execution_count": 33,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 432x288 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Comparing performance"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "fig, ax = plt.subplots(figsize=(15, 8))\n\nfor k, v in losses_dict.items():\n ax.plot(range(1, len(v) + 1), v, '.-', label=k)\n ax.grid();\n\nax.legend() \nax.grid();\n\n# plt.show()",
"execution_count": 35,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": "<Figure size 1080x576 with 1 Axes>"
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.7.5",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"base_numbering": 1,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {
"height": "calc(100% - 180px)",
"left": "10px",
"top": "150px",
"width": "165px"
},
"toc_section_display": true,
"toc_window_display": true
},
"gist": {
"id": "",
"data": {
"description": "Notebook to compare performance b/w various Optimizers including implementations from scratch.",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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