# Batch-Normalization Folding
In this repository, we propose an implementation of the batch-normalization folding algorithm from [IJCAI 2022](https://arxiv.org/pdf/2203.14646.pdf). Batch-Normalization Folding consists in emoving batch-normalization layers without changing the predictive function defiend by the neural network. The simpliest scenario is an application for a fully-connected layer followed by a batch-normalization layer, we get
```math
x \mapsto \gamma \frac{Ax + b - \mu}{\sigma + \epsilon} + \beta = \gamma \frac{A}{\sigma +\epsilon} x + \frac{b - \mu}{\sigma + \epsilon} + \beta
```
Thus the two layers can be expressed as a single fully-connected layer at inference without any change in the predictive function.
## use
This repository is available as a pip package (use `pip install tensorflow-batchnorm-folding`).
This implementation is compatible with tf.keras.Model instances. It was tested with the following models
- [x] ResNet 50
- [x] MobileNet V2
- [x] MobileNet V3
- [x] EfficentNet B0
To run a simple test:
```python
from batch_normalization_folding.folder import fold_batchnormalization_layers
import tensorflow as tf
mod=tf.keras.applications.efficientnet.EfficientNetB0()
folded_model,output_str=fold_batchnormalization_layers(mod,True)
```
The `output_str` is either the ratio num_layers_folded/num_layers_not_folded or 'failed' to state a failure in the process.
## To Do
- [x] unit test on all keras applciations models
- [x] check package installement
- [ ] deal with Concatenate layers
## cite
```
@inproceedings{yvinec2022fold,
title={To Fold or Not to Fold: a Necessary and Sufficient Condition on Batch-Normalization Layers Folding},
author={Yvinec, Edouard and Dapogny, Arnaud and Bailly, Kevin},
journal={IJCAI},
year={2022}
}
```
## Performance on Base Models
```
+------------------------------------+
| ResNet 50 |
+------------------------------------+
| BN layers folded | 53 |
| BN layers not folded | 0 |
+------------------------------------+
| EfficientNet B0 |
+------------------------------------+
| BN layers folded | 49 |
| BN layers not folded | 0 |
+------------------------------------+
| MobileNet V2 |
+------------------------------------+
| BN layers folded | 52 |
| BN layers not folded | 0 |
+------------------------------------+
| MobileNet V3 |
+------------------------------------+
| BN layers folded | 34 |
| BN layers not folded | 0 |
+------------------------------------+
| Inception ResNet V2 |
+------------------------------------+
| BN layers folded | 204 |
| BN layers not folded | 0 |
+------------------------------------+
| Inception V3 |
+------------------------------------+
| BN layers folded | 94 |
| BN layers not folded | 0 |
+------------------------------------+
| NASNet |
+------------------------------------+
| BN layers folded | 28 |
| BN layers not folded | 164 |
+------------------------------------+
| DenseNet 121 |
+------------------------------------+
| BN layers folded | 59 |
| BN layers not folded | 62 |
+------------------------------------+
```
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tensorflow_batchnorm_folding-1.0.8.tar.gz
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