Search Results for author: Hedi Xia

Found 5 papers, 2 papers with code

Proximal Implicit ODE Solvers for Accelerating Learning Neural ODEs

no code implementations19 Apr 2022 Justin Baker, Hedi Xia, Yiwei Wang, Elena Cherkaev, Akil Narayan, Long Chen, Jack Xin, Andrea L. Bertozzi, Stanley J. Osher, Bao Wang

Learning neural ODEs often requires solving very stiff ODE systems, primarily using explicit adaptive step size ODE solvers.

Computational Efficiency

How Does Momentum Benefit Deep Neural Networks Architecture Design? A Few Case Studies

no code implementations13 Oct 2021 Bao Wang, Hedi Xia, Tan Nguyen, Stanley Osher

As case studies, we consider how momentum can improve the architecture design for recurrent neural networks (RNNs), neural ordinary differential equations (ODEs), and transformers.

Computational Efficiency

Heavy Ball Neural Ordinary Differential Equations

1 code implementation NeurIPS 2021 Hedi Xia, Vai Suliafu, Hangjie Ji, Tan M. Nguyen, Andrea L. Bertozzi, Stanley J. Osher, Bao Wang

We propose heavy ball neural ordinary differential equations (HBNODEs), leveraging the continuous limit of the classical momentum accelerated gradient descent, to improve neural ODEs (NODEs) training and inference.

Image Classification

GRAND++: Graph Neural Diffusion with A Source Term

no code implementations ICLR 2022 Matthew Thorpe, Tan Minh Nguyen, Hedi Xia, Thomas Strohmer, Andrea Bertozzi, Stanley Osher, Bao Wang

We propose GRAph Neural Diffusion with a source term (GRAND++) for graph deep learning with a limited number of labeled nodes, i. e., low-labeling rate.

Graph Learning

Kernel Treelets

2 code implementations12 Dec 2018 Hedi Xia, Hector D. Ceniceros

A new method for hierarchical clustering is presented.

Clustering

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