185 citations · 305 across the 10 of their papers we have counts for
10 papers
Breaking the Curse of Dimensionality: Solving Configurational Integrals for Crystalline Solids by Tensor Networks
Duc P. Truong, Benjamin Nebgen, Derek DeSantis +3
Accurately evaluating configurational integrals for dense solids remains a central and difficult challenge in the statistical mechanics of condensed systems. Here, we present a nov…
Space-Time Spectral Element Tensor Network Approach for Time Dependent Convection Diffusion Reaction Equation with Variable Coefficients
Dibyendu Adak, Duc P. Truong, Radoslav Vuchkov +5
In this paper, we present a new space-time Petrov-Galerkin-like method. This method utilizes a mixed formulation of Tensor Train (TT) and Quantized Tensor Train (QTT), designed for…
Tensor Network Space-Time Spectral Collocation Method for Solving the Nonlinear Convection Diffusion Equation
Dibyendu Adak, M. Engin Danis, Duc P. Truong +2
Spectral methods provide highly accurate numerical solutions for partial differential equations, exhibiting exponential convergence with the number of spectral nodes. Traditionally…
Tensor Network Space-Time Spectral Collocation Method for Time Dependent Convection-Diffusion-Reaction Equations
Dibyendu Adak, Duc P. Truong, Gianmarco Manzini +2
Emerging tensor network techniques for solutions of Partial Differential Equations (PDEs), known for their ability to break the curse of dimensionality, deliver new mathematical me…
Tensor Networks for Solving Realistic Time-independent Boltzmann Neutron Transport Equation
Duc P. Truong, Mario I. Ortega, Ismael Boureima +3
Tensor network techniques, known for their low-rank approximation ability that breaks the curse of dimensionality, are emerging as a foundation of new mathematical methods for ultr…
Generating Hidden Markov Models from Process Models Through Nonnegative Tensor Factorization
Erik Skau, Andrew Hollis, Stephan Eidenbenz +2
Monitoring of industrial processes is a critical capability in industry and in government to ensure reliability of production cycles, quick emergency response, and national securit…