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This repository contains some simple experiments used in a graduate course on the mathematics of deep learning.

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Experiments and sample codes from Math 649 (Foundations of Deep Learning) at Texas A&M University

A variety of sample codes and experiments used to teach the course Math 649 (Foundations of Deep Learning) at Texas A&M University. This includes basic examples of function fitting using neural networks, image classification, generative modelling, physics-informed neural networks, and operator learning.

Basic Examples

Contained in the folder basic-examples. Consists of one experiment fitting a sin function using a amultilayer perceptron (MLP) and gradient descent on the squared error loss.

Image Classification

Contained in the folder image-classification. Consists of two experiments, the first trains an MLP and the second trains a CNN to classify MNIST. The MLP training is done using vanilla gradient descent, while the CNN training is done using gradient descent with momentum.

Generative Modelling

Under construction

Physics Informed Neural Networks

Under construction

Operator Learning

Under construction

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This repository contains some simple experiments used in a graduate course on the mathematics of deep learning.

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