shc443 / CoveringNumber_GB

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How DNNs Break the Curse of Dimensionality: Compositionality and Symmetry Learning

Introduction

This research project explores how Deep Neural Networks(DNN) can learn composition of functions with bounded F-1 Norm, referenced in [How DNNs Break the Curse of Dimensionality: Compositionality and Symmetry Learning]

This page includes practical implementations in Python with associated experimental results. These notebooks contain the code, data, and visualizations used in our study, allowing for reproducibility and further exploration.

Contents

  • notebooks/: Directory containing Jupyter notebooks with code and experiments.
  • data/: Directory with both syntheic & real-world datasets used in our experiments
  • README.md: This file, providing an overview and instructions.

Installation

To run the code in this project, you will need to have Python and Jupyter installed. You can set up a virtual environment and install the required packages using the following commands:

# Clone the repository
git clone https://github.com/shc443/CoveringNumber_GB/edit/main/README.md
cd your-repo-name

# Install required packages
pip install -r requirements.txt

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