This is the code for the paper Deep Neural Networks with Multi-Branch Architectures Are Less Non-Convex in AISTATS 2019 by Hongyang Zhang, Junru Shao, and Ruslan Salakhutdinov.

The code is written in python and requires numpy, torch, torchvision and the tqdm library.

This code depends on python 3.6, pytorch 0.3.1 and numpy. We suggest to install the dependencies using Anaconda or Miniconda. Here is an exemplary command:

$ wget https://repo.anaconda.com/archive/Anaconda3-5.1.0-Linux-x86_64.sh
$ bash Anaconda3-5.1.0-Linux-x86_64.sh
$ source ~/.bashrc
$ conda install pytorch=0.3.1

To get started, cd into the directory. Then run the scripts:

• fully_connected.py is a demo on plotting the landscape of multi-branch neural network where each sub-network is a full-connected network with ReLU activation functions and the dataset is synthetic.
• VGG.py is for running the multi-branch neural network based on VGG-9 on CIFAR-10 dataset.

The command python fully_connected.py --help gives the help information about how to run the code that produces landscape, and python VGG.py --help explains how to run the multi-branch neural network based on VGG-9.

For technical details and full experimental results, see the paper.

@inproceedings{Zhang2019deep, 
	author = {Hongyang Zhang and Junru Shao and Ruslan Salakhutdinov}, 
	title = {Deep Neural Networks with Multi-Branch Architectures Are Less Non-Convex}, 
	booktitle = {International Conference on Artificial Intelligence and Statistics},
	year = {2019}
}

Please contact [email protected] if you have any question on the codes.