Biraj Dahal

I am a Visiting Assistant Professor in the Department of Mathematics at Purdue University. I work in applied mathematics and data science, including generative modeling and scientific machine learning. More generally, I would like to apply mathematical frameworks (e.g. measure transport, differential geometry) to interesting problems, particularly involving high-dimensional data.


Email: dahalb at purdue dot edu


CV

Scientific Machine Learning

  1. Data-Driven Model Reduction using WeldNet: Windowed Encoders for Learning Dynamics. Preprint (arXiv).
    Biraj Dahal, Jiahui Cheng, Hao Liu, Rongjie Lai, Wenjing Liao
  2. Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning. Applied and Computational Harmonic Analysis, 2024.
    Hao Liu, Biraj Dahal, Rongjie Lai, Wenjing Liao

Data Science

  1. On Deep Generative Models for Approximation and Estimation of Distributions on Manifolds. NeurIPS, 2022.
    Biraj Dahal*, Alex Havrilla*, Minshuo Chen, Tuo Zhao, Wenjing Liao (* denotes equal contribution)
  2. Topic Modeling and Sentiment Analysis of Global Climate Change Tweets. Social Network Analysis and Mining, 2019.
    Biraj Dahal, Sathish AP Kumar, Zhenlong Li