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Soheil Kolouri

Vanderbilt University

2301 Vanderbilt Place

Nashville, TN 37240

United States

SCHOLARLY PAPERS

3

DOWNLOADS

139

TOTAL CITATIONS

1

Scholarly Papers (3)

Energy Loss Informed Cell-Based Multilayer Perceptron for Solving Elliptic Pdes with Multiscale Features

Number of pages: 57 Posted: 24 Oct 2024
Yuxiang Gao, Soheil Kolouri and Ravindra Duddu
Vanderbilt University, Vanderbilt University and Vanderbilt University
Downloads 63 (947,975)

Abstract:

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Physics-Informed Neural Networks, multiscale problems, Deep learning, Elliptic PDEs

Energy Loss Informed Cell-Based Multilayer Perceptron for Solving Elliptic Pdes with Multiscale Features

Number of pages: 57 Posted: 18 Apr 2025
Yuxiang Gao, Ravindra Duddu and Soheil Kolouri
Vanderbilt University, Vanderbilt University and Vanderbilt University
Downloads 27 (1,400,723)

Abstract:

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physics-informed neural networks, multiscale elliptic PDEs, machine learning, Poisson equations, grid-based multilayer perceptrons, decoupled training schemes

2.

Wasserstein Task Embedding for Measuring Task Similarities

Number of pages: 22 Posted: 10 Jan 2024
Vanderbilt University, Vanderbilt University, Carnegie Mellon University, Loughborough University and Vanderbilt University
Downloads 26 (1,399,036)

Abstract:

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task embedding, dataset similarity, Optimal Transport, continual learning, transfer learning

3.

Physics Informed Cell Representations for Variational Formulation of Multiscale Problems

Number of pages: 50 Posted: 03 Jun 2024
Yuxiang Gao, Soheil Kolouri and Ravindra Duddu
Vanderbilt University, Vanderbilt University and Vanderbilt University
Downloads 23 (1,411,822)
Citation 1

Abstract:

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Physics-informed neural networks, multiscale problems, Machine Learning, Poisson problems