Search Results for author: Xiaozhe Hu

Found 5 papers, 1 papers with code

Ladder Polynomial Neural Networks

no code implementations25 Jun 2021 Li-Ping Liu, Ruiyuan Gu, Xiaozhe Hu

Particularly this work constructs polynomial feedforward neural networks using the product activation, a new activation function constructed from multiplications.

Enforcing exact physics in scientific machine learning: a data-driven exterior calculus on graphs

no code implementations22 Dec 2020 Nathaniel Trask, Andy Huang, Xiaozhe Hu

To enforce physics strongly, we turn to the exterior calculus framework underpinning combinatorial Hodge theory and physics-compatible discretization of partial differential equations (PDEs).

Numerical Analysis Numerical Analysis Mathematical Physics Mathematical Physics

Diffusion State Distances: Multitemporal Analysis, Fast Algorithms, and Applications to Biological Networks

no code implementations7 Mar 2020 Lenore Cowen, Kapil Devkota, Xiaozhe Hu, James M. Murphy, Kaiyi Wu

This article develops a theory for DSD based on the multitemporal emergence of mesoscopic equilibria in the underlying diffusion process.

Denoising Dimensionality Reduction

Block Preconditioners for Mixed-dimensional Discretization of Flow in Fractured Porous Media

1 code implementation31 May 2019 Ana Budiša, Xiaozhe Hu

In this paper, we are interested in an efficient numerical method for the mixed-dimensional approach to modeling single-phase flow in fractured porous media.

Numerical Analysis

Multi-View Graph Embedding Using Randomized Shortest Paths

no code implementations20 Aug 2018 Anuththari Gamage, Brian Rappaport, Shuchin Aeron, Xiaozhe Hu

This data is well represented by multi-view graphs, which consist of several distinct sets of edges over the same nodes.

Graph Embedding

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