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01/24/2023
On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem
We study the convergences of three projected Sobolev gradient flows to t...
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10/19/2022
On Representing Mixed-Integer Linear Programs by Graph Neural Networks
While Mixed-integer linear programming (MILP) is NP-hard in general, pra...
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10/07/2022
Physics inspired compact modelling of BiFeO_3 based memristors for hardware security applications
With the advent of the Internet of Things, nanoelectronic devices or mem...
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09/25/2022
On Representing Linear Programs by Graph Neural Networks
Learning to optimize is a rapidly growing area that aims to solve optimi...
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07/21/2022
One-dimensional Tensor Network Recovery
We study the recovery of the underlying graphs or permutations for tenso...
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03/11/2022
Dual reparametrized Variational Generative Model for Time-Series Forecasting
This paper propose DualVDT, a generative model for Time-series forecasti...
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01/25/2022
A Regularity Theory for Static Schrödinger Equations on ℝ^d in Spectral Barron Spaces
Spectral Barron spaces have received considerable interest recently as i...
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06/14/2021
On the Representation of Solutions to Elliptic PDEs in Barron Spaces
Numerical solutions to high-dimensional partial differential equations (...
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01/05/2021
On the global convergence of randomized coordinate gradient descent for non-convex optimization
In this work, we analyze the global convergence property of coordinate g...
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05/17/2019