Repository: wzlxjtu/PositionalEncoding2D
Branch: master
Commit: d1714f299389
Files: 3
Total size: 145.4 KB
Directory structure:
gitextract_ougl5yly/
├── README.md
├── positionalembedding2d.py
└── visualization.ipynb
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FILE CONTENTS
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FILE: README.md
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1D and 2D Sinusoidal positional encoding/embedding (PyTorch)
----
In non-recurrent neural networks, positional encoding is used to injects information about the relative or absolute position of the input sequence.
The Sinusoidal-based encoding does not require training, thus does not add additional parameters to the model.
The 1D positional encoding was first proposed in [Attention Is All You Need](https://arxiv.org/pdf/1706.03762.pdf). This repo implements it in positionalencoding1d.
The 2D positional encoding is an extention to 2D data, e.g., images. It is implemented as positionalencoding2d.
You can find examples and visualization in this [notebook ](https://github.com/wzlxjtu/PositionalEncoding2D/blob/master/visualization.ipynb).
For reference and technical details, please refer to our publication:
- Wang, Zelun, and Jyh-Charn Liu. *"Translating math formula images to LaTeX sequences using deep neural networks with sequence-level training."* International Journal on Document Analysis and Recognition (IJDAR) (2020): 1-13.
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FILE: positionalembedding2d.py
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import math
import torch
def positionalencoding1d(d_model, length):
"""
:param d_model: dimension of the model
:param length: length of positions
:return: length*d_model position matrix
"""
if d_model % 2 != 0:
raise ValueError("Cannot use sin/cos positional encoding with "
"odd dim (got dim={:d})".format(d_model))
pe = torch.zeros(length, d_model)
position = torch.arange(0, length).unsqueeze(1)
div_term = torch.exp((torch.arange(0, d_model, 2, dtype=torch.float) *
-(math.log(10000.0) / d_model)))
pe[:, 0::2] = torch.sin(position.float() * div_term)
pe[:, 1::2] = torch.cos(position.float() * div_term)
return pe
def positionalencoding2d(d_model, height, width):
"""
:param d_model: dimension of the model
:param height: height of the positions
:param width: width of the positions
:return: d_model*height*width position matrix
"""
if d_model % 4 != 0:
raise ValueError("Cannot use sin/cos positional encoding with "
"odd dimension (got dim={:d})".format(d_model))
pe = torch.zeros(d_model, height, width)
# Each dimension use half of d_model
d_model = int(d_model / 2)
div_term = torch.exp(torch.arange(0., d_model, 2) *
-(math.log(10000.0) / d_model))
pos_w = torch.arange(0., width).unsqueeze(1)
pos_h = torch.arange(0., height).unsqueeze(1)
pe[0:d_model:2, :, :] = torch.sin(pos_w * div_term).transpose(0, 1).unsqueeze(1).repeat(1, height, 1)
pe[1:d_model:2, :, :] = torch.cos(pos_w * div_term).transpose(0, 1).unsqueeze(1).repeat(1, height, 1)
pe[d_model::2, :, :] = torch.sin(pos_h * div_term).transpose(0, 1).unsqueeze(2).repeat(1, 1, width)
pe[d_model + 1::2, :, :] = torch.cos(pos_h * div_term).transpose(0, 1).unsqueeze(2).repeat(1, 1, width)
return pe
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FILE: visualization.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Untitled",
"version": "0.3.2",
"provenance": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"metadata": {
"id": "XcFoOLXzqHD2",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 340
},
"outputId": "8f3d0d97-ce0c-4dc1-f026-7d370f8a1221"
},
"cell_type": "code",
"source": [
"# 1D Visualization\n",
"# create a PE for 100 data points, with model dimension 128.\n",
"pe = positionalencoding1d(128, 100)\n",
"plt.figure(figsize=(15, 5))\n",
"plt.plot(np.arange(100), pe[:,0:63:16].data.numpy())\n",
"plt.legend([\"dim %d\"%p for p in [4,5,6,7]])\n"
],
"execution_count": 32,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fb9bbef2748>"
]
},
"metadata": {
"tags": []
},
"execution_count": 32
},
{
"output_type": "display_data",
"data": {
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lXDI8kjA/yVlWKBt8zSIbfL2I0ynyl68O8VNqEQCVZhv+hnZE64wlcOhzGH69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tcVS+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\nIvoTKWWlJ+P5sRIaZMRoEHy6O9/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0VGUdRZV1ft2/5yQ2PIjvj7a0xbDa7PzuvZ0kRVq4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\no9Foeik64NNoNBqNRqPRaDSaXsr/D3rWFOz44n/PAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "liNu8imBq7jd",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 286
},
"outputId": "4719298a-248b-4558-87d0-7cbd9cd7ada7"
},
"cell_type": "code",
"source": [
"# 2D Visualization\n",
"# create a PE for 100*100 image, with model dimension 128.\n",
"pe2 = positionalencoding2d(128, 100, 100)\n",
"# show 4 different dimensions\n",
"plt.subplot(221)\n",
"plt.imshow(pe2[0,:,:])\n",
"plt.subplot(222)\n",
"plt.imshow(pe2[63,:,:])\n",
"plt.subplot(223)\n",
"plt.imshow(pe2[64,:,:])\n",
"plt.subplot(224)\n",
"plt.imshow(pe2[127,:,:])"
],
"execution_count": 35,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7fb9bbb8a9e8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 35
},
{
"output_type": "display_data",
"data": {
"image/png": 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nL9V2w7PXtbY1gkdEJIK0N8NFRMYFNUsRkQjULEVEIlCzFBGJQM1SRCQCNUsR\nkQjULEVEIlCzFBGJ4P8Do8yHYzBJpooAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 4 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "IGDG9YXHw8gm",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
gitextract_ougl5yly/ ├── README.md ├── positionalembedding2d.py └── visualization.ipynb
SYMBOL INDEX (2 symbols across 1 files) FILE: positionalembedding2d.py function positionalencoding1d (line 5) | def positionalencoding1d(d_model, length): function positionalencoding2d (line 24) | def positionalencoding2d(d_model, height, width):
Condensed preview — 3 files, each showing path, character count, and a content snippet. Download the .json file or copy for the full structured content (151K chars).
[
{
"path": "README.md",
"chars": 1046,
"preview": "1D and 2D Sinusoidal positional encoding/embedding (PyTorch)\n----\nIn non-recurrent neural networks, positional encoding "
},
{
"path": "positionalembedding2d.py",
"chars": 1912,
"preview": "import math\nimport torch\n\n\ndef positionalencoding1d(d_model, length):\n \"\"\"\n :param d_model: dimension of the model"
},
{
"path": "visualization.ipynb",
"chars": 145936,
"preview": "{\n \"nbformat\": 4,\n \"nbformat_minor\": 0,\n \"metadata\": {\n \"colab\": {\n \"name\": \"Untitled\",\n \"version\": \"0.3"
}
]
About this extraction
This page contains the full source code of the wzlxjtu/PositionalEncoding2D GitHub repository, extracted and formatted as plain text for AI agents and large language models (LLMs). The extraction includes 3 files (145.4 KB), approximately 98.6k tokens, and a symbol index with 2 extracted functions, classes, methods, constants, and types. Use this with OpenClaw, Claude, ChatGPT, Cursor, Windsurf, or any other AI tool that accepts text input. You can copy the full output to your clipboard or download it as a .txt file.
Extracted by GitExtract — free GitHub repo to text converter for AI. Built by Nikandr Surkov.