Computer_Vision/Chapter02/Operations_on_tensors.ipynb

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{
"nbformat": 4,
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"metadata": {
"colab": {
"name": "Operations_on_tensors.ipynb",
"provenance": [],
"include_colab_link": true
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
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"name": "ipython",
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"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/github/PacktPublishing/Hands-On-Computer-Vision-with-PyTorch/blob/master/Chapter02/Operations_on_tensors.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.577164Z",
"start_time": "2020-09-25T19:27:01.286695Z"
},
"id": "TqJn6S6MaXSJ",
"outputId": "365578bb-f483-40f4-d08f-adb8c1982840",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"import torch\n",
"x = torch.tensor([[1,2,3,4], [5,6,7,8]]) \n",
"print(x * 10)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"tensor([[10, 20, 30, 40],\n",
" [50, 60, 70, 80]])\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.581350Z",
"start_time": "2020-09-25T19:27:01.578406Z"
},
"id": "oPoA4yptaY2N",
"outputId": "89d72f4b-71b8-45ae-9c50-4fb1e73ae6c0",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"x = torch.tensor([[1,2,3,4], [5,6,7,8]]) \n",
"y = x.add(10)\n",
"print(y)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"tensor([[11, 12, 13, 14],\n",
" [15, 16, 17, 18]])\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.586320Z",
"start_time": "2020-09-25T19:27:01.582720Z"
},
"id": "fHmRXqMcadet"
},
"source": [
"y = torch.tensor([2, 3, 1, 0]) # y.shape == (4)\n",
"y = y.view(4,1) # y.shape == (4, 1)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.591222Z",
"start_time": "2020-09-25T19:27:01.587669Z"
},
"id": "rr5Gs-QMaf-H",
"outputId": "28504802-789e-4372-83f8-feff86ed66e0",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"x = torch.randn(10,1,10)\n",
"z1 = torch.squeeze(x, 1) # similar to np.squeeze()\n",
"# The same operation can be directly performed on\n",
"# x by calling squeeze and the dimension to squeeze out\n",
"z2 = x.squeeze(1)\n",
"assert torch.all(z1 == z2) # all the elements in both tensors are equal\n",
"print('Squeeze:\\n', x.shape, z1.shape)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Squeeze:\n",
" torch.Size([10, 1, 10]) torch.Size([10, 10])\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.596220Z",
"start_time": "2020-09-25T19:27:01.592251Z"
},
"id": "jnIQNMH5ajlF",
"outputId": "f53812a0-2391-4746-9af9-22b29eb8867a",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 68
}
},
"source": [
"x = torch.randn(10,10)\n",
"print(x.shape)\n",
"# torch.size(10,10)\n",
"z1 = x.unsqueeze(0)\n",
"print(z1.shape)\n",
"# torch.size(1,10,10)\n",
"# The same can be achieved using [None] indexing\n",
"# Adding None will auto create a fake dim at the\n",
"# specified axis\n",
"x = torch.randn(10,10)\n",
"z2, z3, z4 = x[None], x[:,None], x[:,:,None]\n",
"print(z2.shape, z3.shape, z4.shape)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"torch.Size([10, 10])\n",
"torch.Size([1, 10, 10])\n",
"torch.Size([1, 10, 10]) torch.Size([10, 1, 10]) torch.Size([10, 10, 1])\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.600694Z",
"start_time": "2020-09-25T19:27:01.597443Z"
},
"id": "SWxKXdP6am9D",
"outputId": "8cc993b3-d461-4aa6-9bf3-c0f56af01037",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"x = torch.tensor([[1,2,3,4], [5,6,7,8]])\n",
"print(torch.matmul(x, y))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"tensor([[11],\n",
" [35]])\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.603782Z",
"start_time": "2020-09-25T19:27:01.601641Z"
},
"id": "VtZmPZOEapyc",
"outputId": "170d0165-e8b0-46a8-f01a-1bfa93a93e2c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"print(x@y)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"tensor([[11],\n",
" [35]])\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.608841Z",
"start_time": "2020-09-25T19:27:01.605190Z"
},
"id": "al6kKt4dasVv",
"outputId": "d0761ad3-ddce-432a-a1be-8284ffef7276",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"import torch\n",
"x = torch.randn(10,10,10)\n",
"z = torch.cat([x,x], axis=0) # np.concatenate()\n",
"print('Cat axis 0:', x.shape, z.shape)\n",
"# Cat axis 0: torch.Size([10, 10, 10]) torch.Size([20, 10, 10])\n",
"z = torch.cat([x,x], axis=1) # np.concatenate()\n",
"print('Cat axis 1:', x.shape, z.shape)\n",
"# Cat axis 1: torch.Size([10, 10, 10]) torch.Size([10, 20, 10])"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Cat axis 0: torch.Size([10, 10, 10]) torch.Size([20, 10, 10])\n",
"Cat axis 1: torch.Size([10, 10, 10]) torch.Size([10, 20, 10])\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.612500Z",
"start_time": "2020-09-25T19:27:01.609931Z"
},
"id": "vv1DtZ2qb_qu",
"outputId": "bafdaba7-c0b5-4b8d-a7bb-beb20b8cfd7e",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"x = torch.arange(25).reshape(5,5)\n",
"print('Max:', x.shape, x.max()) "
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Max: torch.Size([5, 5]) tensor(24)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.620199Z",
"start_time": "2020-09-25T19:27:01.613427Z"
},
"id": "DO2nx2glcNPQ",
"outputId": "1b7fbdb5-1f41-4bd7-8c77-3b494e90161b",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"x.max(dim=0)"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"torch.return_types.max(\n",
"values=tensor([20, 21, 22, 23, 24]),\n",
"indices=tensor([4, 4, 4, 4, 4]))"
]
},
"metadata": {
"tags": []
},
"execution_count": 10
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.624220Z",
"start_time": "2020-09-25T19:27:01.621298Z"
},
"id": "3O-_2LwQcOv6",
"outputId": "5b84364e-3453-4265-8e10-59ede36033e9",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"m, argm = x.max(dim=1) \n",
"print('Max in axis 1:\\n', m, argm) "
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Max in axis 1:\n",
" tensor([ 4, 9, 14, 19, 24]) tensor([4, 4, 4, 4, 4])\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:27:01.627717Z",
"start_time": "2020-09-25T19:27:01.625155Z"
},
"id": "0qwAEb6BcQJB",
"outputId": "d89be36a-3a97-4f3e-da1a-64cf3ff4cffa",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"x = torch.randn(10,20,30)\n",
"z = x.permute(2,0,1) # np.permute()\n",
"print('Permute dimensions:', x.shape, z.shape)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Permute dimensions: torch.Size([10, 20, 30]) torch.Size([30, 10, 20])\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:35:03.872412Z",
"start_time": "2020-09-25T19:35:03.861902Z"
},
"id": "mCeCjaZo0arI",
"outputId": "f8718838-01ed-4426-9ff1-49f346ffe131"
},
"source": [
"dir(torch.Tensor)"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
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" 'new_empty',\n",
" 'new_full',\n",
" 'new_ones',\n",
" 'new_tensor',\n",
" 'new_zeros',\n",
" 'nonzero',\n",
" 'norm',\n",
" 'normal_',\n",
" 'numel',\n",
" 'numpy',\n",
" 'orgqr',\n",
" 'ormqr',\n",
" 'output_nr',\n",
" 'permute',\n",
" 'pin_memory',\n",
" 'pinverse',\n",
" 'polygamma',\n",
" 'polygamma_',\n",
" 'pow',\n",
" 'pow_',\n",
" 'prelu',\n",
" 'prod',\n",
" 'put_',\n",
" 'q_per_channel_axis',\n",
" 'q_per_channel_scales',\n",
" 'q_per_channel_zero_points',\n",
" 'q_scale',\n",
" 'q_zero_point',\n",
" 'qr',\n",
" 'qscheme',\n",
" 'rad2deg',\n",
" 'rad2deg_',\n",
" 'random_',\n",
" 'real',\n",
" 'reciprocal',\n",
" 'reciprocal_',\n",
" 'record_stream',\n",
" 'refine_names',\n",
" 'register_hook',\n",
" 'reinforce',\n",
" 'relu',\n",
" 'relu_',\n",
" 'remainder',\n",
" 'remainder_',\n",
" 'rename',\n",
" 'rename_',\n",
" 'renorm',\n",
" 'renorm_',\n",
" 'repeat',\n",
" 'repeat_interleave',\n",
" 'requires_grad',\n",
" 'requires_grad_',\n",
" 'reshape',\n",
" 'reshape_as',\n",
" 'resize',\n",
" 'resize_',\n",
" 'resize_as',\n",
" 'resize_as_',\n",
" 'retain_grad',\n",
" 'rfft',\n",
" 'roll',\n",
" 'rot90',\n",
" 'round',\n",
" 'round_',\n",
" 'rsqrt',\n",
" 'rsqrt_',\n",
" 'scatter',\n",
" 'scatter_',\n",
" 'scatter_add',\n",
" 'scatter_add_',\n",
" 'select',\n",
" 'set_',\n",
" 'shape',\n",
" 'share_memory_',\n",
" 'short',\n",
" 'sigmoid',\n",
" 'sigmoid_',\n",
" 'sign',\n",
" 'sign_',\n",
" 'sin',\n",
" 'sin_',\n",
" 'sinh',\n",
" 'sinh_',\n",
" 'size',\n",
" 'slogdet',\n",
" 'smm',\n",
" 'softmax',\n",
" 'solve',\n",
" 'sort',\n",
" 'sparse_dim',\n",
" 'sparse_mask',\n",
" 'sparse_resize_',\n",
" 'sparse_resize_and_clear_',\n",
" 'split',\n",
" 'split_with_sizes',\n",
" 'sqrt',\n",
" 'sqrt_',\n",
" 'square',\n",
" 'square_',\n",
" 'squeeze',\n",
" 'squeeze_',\n",
" 'sspaddmm',\n",
" 'std',\n",
" 'stft',\n",
" 'storage',\n",
" 'storage_offset',\n",
" 'storage_type',\n",
" 'stride',\n",
" 'sub',\n",
" 'sub_',\n",
" 'sum',\n",
" 'sum_to_size',\n",
" 'svd',\n",
" 'symeig',\n",
" 't',\n",
" 't_',\n",
" 'take',\n",
" 'tan',\n",
" 'tan_',\n",
" 'tanh',\n",
" 'tanh_',\n",
" 'to',\n",
" 'to_dense',\n",
" 'to_mkldnn',\n",
" 'to_sparse',\n",
" 'tolist',\n",
" 'topk',\n",
" 'trace',\n",
" 'transpose',\n",
" 'transpose_',\n",
" 'triangular_solve',\n",
" 'tril',\n",
" 'tril_',\n",
" 'triu',\n",
" 'triu_',\n",
" 'true_divide',\n",
" 'true_divide_',\n",
" 'trunc',\n",
" 'trunc_',\n",
" 'type',\n",
" 'type_as',\n",
" 'unbind',\n",
" 'unflatten',\n",
" 'unfold',\n",
" 'uniform_',\n",
" 'unique',\n",
" 'unique_consecutive',\n",
" 'unsqueeze',\n",
" 'unsqueeze_',\n",
" 'values',\n",
" 'var',\n",
" 'view',\n",
" 'view_as',\n",
" 'volatile',\n",
" 'where',\n",
" 'zero_']"
]
},
"metadata": {
"tags": []
},
"execution_count": 24
}
]
},
{
"cell_type": "code",
"metadata": {
"ExecuteTime": {
"end_time": "2020-09-25T19:35:08.396527Z",
"start_time": "2020-09-25T19:35:08.394059Z"
},
"id": "jhiL6isOcSJP",
"outputId": "1bbe6e0f-b453-47d9-c687-a1526681aa8b"
},
"source": [
"help(torch.Tensor.view)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Help on method_descriptor:\n",
"\n",
"view(...)\n",
" view(*shape) -> Tensor\n",
" \n",
" Returns a new tensor with the same data as the :attr:`self` tensor but of a\n",
" different :attr:`shape`.\n",
" \n",
" The returned tensor shares the same data and must have the same number\n",
" of elements, but may have a different size. For a tensor to be viewed, the new\n",
" view size must be compatible with its original size and stride, i.e., each new\n",
" view dimension must either be a subspace of an original dimension, or only span\n",
" across original dimensions :math:`d, d+1, \\dots, d+k` that satisfy the following\n",
" contiguity-like condition that :math:`\\forall i = d, \\dots, d+k-1`,\n",
" \n",
" .. math::\n",
" \n",
" \\text{stride}[i] = \\text{stride}[i+1] \\times \\text{size}[i+1]\n",
" \n",
" Otherwise, it will not be possible to view :attr:`self` tensor as :attr:`shape`\n",
" without copying it (e.g., via :meth:`contiguous`). When it is unclear whether a\n",
" :meth:`view` can be performed, it is advisable to use :meth:`reshape`, which\n",
" returns a view if the shapes are compatible, and copies (equivalent to calling\n",
" :meth:`contiguous`) otherwise.\n",
" \n",
" Args:\n",
" shape (torch.Size or int...): the desired size\n",
" \n",
" Example::\n",
" \n",
" >>> x = torch.randn(4, 4)\n",
" >>> x.size()\n",
" torch.Size([4, 4])\n",
" >>> y = x.view(16)\n",
" >>> y.size()\n",
" torch.Size([16])\n",
" >>> z = x.view(-1, 8) # the size -1 is inferred from other dimensions\n",
" >>> z.size()\n",
" torch.Size([2, 8])\n",
" \n",
" >>> a = torch.randn(1, 2, 3, 4)\n",
" >>> a.size()\n",
" torch.Size([1, 2, 3, 4])\n",
" >>> b = a.transpose(1, 2) # Swaps 2nd and 3rd dimension\n",
" >>> b.size()\n",
" torch.Size([1, 3, 2, 4])\n",
" >>> c = a.view(1, 3, 2, 4) # Does not change tensor layout in memory\n",
" >>> c.size()\n",
" torch.Size([1, 3, 2, 4])\n",
" >>> torch.equal(b, c)\n",
" False\n",
"\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "OYYOtiFn0arN"
},
"source": [
""
],
"execution_count": null,
"outputs": []
}
]
}