##### Department of Mathematics,

University of California San Diego

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### Math 278C - Optimization and Data Science

## Wenrui Hao

#### Pennsylvania State University

## Nonlinear scientific computing in machine learning

##### Abstract:

Machine learning achieves tremendous success in image classification, speech recognition, and medical diagnosis. In the meantime, machine learning also brings some interesting mathematical questions: How to solve the resulting optimization more efficiently and robustly? How to apply the machine learning technique to tackle challenging problems in mathematics. In this talk, I will view the neural networks model from a nonlinear scientific computing point of view and present some recent work on developing a homotopy training algorithm to train neural networks ``layer-by-layer'' and ``node-by-node.'' I will also review the neural network from numerical algebraic geometry point view and provide a novel initialization for ReLU networks.

Host: Jiawang Nie

### November 18, 2020

### 2:00 PM

### Zoom Meeting ID: 998 9823 3654 Password: 278CFA20

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