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https://github.com/braincreators/octconv

Octave Convolution Implementation in PyTorch
https://github.com/braincreators/octconv

computer-vision convolution convolutional-neural-networks implementation machine-learning octave octconv pytorch

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Octave Convolution Implementation in PyTorch

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# Octave Convolution

[![Build Status](https://travis-ci.org/braincreators/octconv.svg?branch=master)](https://travis-ci.org/braincreators/octconv)

Implementation of [Drop an Octave: Reducing Spatial Redundancy in
Convolutional Neural Networks with Octave Convolution](https://arxiv.org/pdf/1904.05049.pdf)

![schema](assets/octconv.png)

## Paper Abstract

In natural images, information is conveyed at different frequencies
where higher frequencies are usually encoded with fine details and
lower frequencies are usually encoded with global structures.
Similarly, the output feature maps of a convolution layer can also be
seen as a mixture of information at different frequencies.
In this work, we propose to factorize the mixed feature maps by their
frequencies, and design a novel Octave Convolution (OctConv) operation
to store and process feature maps that vary spatially “slower” at a lower
spatial resolution reducing both memory and computation cost. Unlike existing
multi-scale methods, OctConv is formulated as a single, generic, plug-and-play
convolutional unit that can be used as a direct replacement
of (vanilla) convolutions without any adjustments in the network architecture.
It is also orthogonal and complementary to methods that suggest better
topologies or reduce channel-wise redundancy like group or depth-wise convolutions.
We experimentally show that by simply replacing convolutions with OctConv,
we can consistently boost accuracy for both image and video recognition tasks,
while reducing memory and computational cost.
An OctConv-equipped ResNet-152 can achieve 82.9% top-1 classification accuracy on
ImageNet with merely 22.2 GFLOPs.

## Installation

From PyPI:

pip install octconv

Bleeding edge version from github:

pip install git+https://github.com/braincreators/octconv.git#egg=octconv

## Usage

```python
import torch
from octconv import OctConv2d

# (batch, channels, height, width)
x = torch.rand(5, 3, 200, 200)

conv1 = OctConv2d(in_channels=3, out_channels=10, kernel_size=3, alpha=(0., 0.5), padding=1)
conv2 = OctConv2d(in_channels=10, out_channels=20, kernel_size=7, alpha=(0.5, 0.8), padding=3)
conv3 = OctConv2d(in_channels=20, out_channels=1, kernel_size=3, alpha=(0.8, 0.), padding=1)

out = conv3(conv2(conv1(x))) # shape: (5, 1, 200, 200)
```

## Original implementation

- [facebookresearch/OctConv (MXNET)](https://github.com/facebookresearch/OctConv)

## Citation

```
@article{chen2019drop,
title={Drop an Octave: Reducing Spatial Redundancy in Convolutional Neural Networks with Octave Convolution},
author={Chen, Yunpeng and Fan, Haoqi and Xu, Bing and Yan, Zhicheng and Kalantidis, Yannis and Rohrbach, Marcus and Yan, Shuicheng and Feng, Jiashi},
journal={arXiv preprint arXiv:1904.05049},
year={2019}
}
```