Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Hu, Yukuan"'
Publikováno v:
Physical Review B (2024)
This paper is concerned with $\textit{ab initio}$ crystal structure relaxation under a fixed unit cell volume, which is a step in calculating the static equations of state and forms the basis of thermodynamic property calculations for materials. The
Externí odkaz:
http://arxiv.org/abs/2405.02934
Publikováno v:
Mathematics of Computation (2024)
This paper focuses on multi-block optimization problems over transport polytopes, which underlie various applications including strongly correlated quantum physics and machine learning. Conventional block coordinate descent-type methods for the gener
Externí odkaz:
http://arxiv.org/abs/2306.16763
Autor:
Hu, Yukuan, Liu, Xin
Publikováno v:
Fundamental Research (2023)
In a Mathematical Program with Generalized Complementarity Constraints (MPGCC), complementarity relationships are imposed between each pair of variable blocks. MPGCC includes the traditional Mathematical Program with Complementarity Constraints (MPCC
Externí odkaz:
http://arxiv.org/abs/2206.04844
Publikováno v:
Physical Review B (2022)
Force-based algorithms for $\mathit{\text{ab initio}}$ atomic structure relaxation, such as conjugate gradient methods, usually get stuck in the line minimization processes along search directions, where expensive $\mathit{\text{ab initio}}$ calculat
Externí odkaz:
http://arxiv.org/abs/2206.02091
Autor:
Hu, Yukuan, Liu, Xin
Publikováno v:
Science China Mathematics (2023)
The proximal alternating linearized minimization method (PALM) suits well for solving block-structured optimization problems, which are ubiquitous in real applications. In the cases where subproblems do not have closed-form solutions, e.g., due to co
Externí odkaz:
http://arxiv.org/abs/2204.06182
Publikováno v:
SIAM Journal on Scientific Computing (2023)
In this work, we construct a novel numerical method for solving the multi-marginal optimal transport problems with Coulomb cost. This type of optimal transport problems arises in quantum physics and plays an important role in understanding the strong
Externí odkaz:
http://arxiv.org/abs/2110.07352
Akademický článek
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Akademický článek
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The multimarginal optimal transport problem with Coulomb cost arises in quantum physics and is vital in understanding strongly correlated quantum systems. Its intrinsic curse of dimensionality can be overcome with a Monge-like ansatz. A nonconvex qua
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb7009b1815b91c4a60181294a1bb5d2
http://arxiv.org/abs/2306.16763
http://arxiv.org/abs/2306.16763