11 papers
A Tensor-Train Discontinuous Galerkin Method for the Vlasov-Maxwell System
Rujeko Chinomona, Dibyendu Adak, William J. Barham +4
We present a tensor-train discontinuous Galerkin (TT-DG) formulation for the Vlasov--Maxwell system that combines a modal DG discretization with low-rank tensor representations of…
Detecting Satellites in Radio-Frequency Data via Semi-Supervised Learning
Cade W. Trotter, Maksim E. Eren, Justin C. Holmes +4
Radio-frequency (RF) monitoring is essential for space domain awareness, but it often generates large, variable, and sparsely populated datasets with few labels. These observations…
Space-Time Spectral Collocation Tensor-Network Approach for Maxwell's Equations
Dibyendu Adak, Rujeko Chinomona, Duc P. Truong +3
In this work, we develop a space--time Chebyshev spectral collocation method for three-dimensional Maxwell's equations and combine it with tensor-network techniques in Tensor-Train…
A Tensor Train-Based Isogeometric Solver for Large-Scale 3D Poisson Problems on Complex Geometries
Quoc Thai Tran, Duc P. Truong, Kim Ã. Rasmussen +1
We introduce a three-dimensional (3D) fully tensor train (TT)-assembled isogeometric analysis (IGA) framework, TT-IGA, for solving partial differential equations (PDEs) on complex…
Tensor-Train Operator Inference
Engin Danis, Duc Truong, Kim Ã. Rasmussen§ +1
In this study, we present a tensor--train framework for nonintrusive operator inference aimed at learning discrete operators and using them to predict solutions of physical governi…
Topic Modeling and Link-Prediction for Material Property Discovery
Ryan C. Barron, Maksim E. Eren, Valentin Stanev +2
Link prediction infers missing or future relations between graph nodes, based on connection patterns. Scientific literature networks and knowledge graphs are typically large, spars…