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Masked Autoregressive (MAR) models promise better efficiency in visual generation than autoregressive (AR) models for the ability of parallel generation, yet their acceleration potential remains constrained by the modeling complexity of…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Feihong Yan , Peiru Wang , Yao Zhu , Kaiyu Pang , Qingyan Wei , Huiqi Li , Linfeng Zhang

Mejia-Rodriguez and Trickey recently proposed a procedure for removing the explicit dependence of meta-GGA exchange-correlation energy functionals $E_{\rm xc}$ on the kinetic energy density $\tau$. We present a simple modification to this…

Materials Science · Physics 2024-04-22 Pietro Bonfà , Sangeeta Sharma , John Kay Dewhurst

We present an efficient preconditioning technique for accelerating the fixed point iteration in real-space Kohn-Sham density functional theory (DFT) calculations. The preconditioner uses a low rank approximation of the dielectric matrix…

Materials Science · Physics 2023-03-29 Sambit Das , Vikram Gavini

Based on the numerical method proposed in [G. Hu, X. Xie, F. Xu, J. Comput. Phys., 355 (2018), 436-449.] for Kohn-Sham equation, further improvement on the efficiency is obtained in this paper by i). designing a numerical method with the…

Numerical Analysis · Mathematics 2021-03-05 Guanghui Hu , Hehu Xie , Fei Xu

In this work, we benchmark tensor hypercontraction (THC)-accelerated fully self-consistent $GW$ (sc$GW$) and vertex-corrected self-consistent $GW$ (sc$GW\Gamma$) methods for predicting molecular first ionization potentials (IPs). The vertex…

Strongly Correlated Electrons · Physics 2026-04-29 Munkhorgil Wang , Ming Wen , Pavel Pokhilko , Chia-Nan Yeh , Miguel A. Morales , Dominika Zgid

The discrete Fourier transform is approximated by summing over part of the terms with corresponding weights. The approximation reduces significantly the requirement for computer memory storage and enhances the numerical computation…

Strongly Correlated Electrons · Physics 2015-03-19 Xin-Zhong Yan

We describe a parallel version of our tree-code for the simulation of self-gravitating systems in Astrophysics. It is based on a dynamic and adaptive method for the domain decomposition, which exploits the hierarchical data arrangement used…

Astrophysics · Physics 2007-05-23 P. Miocchi , R. Capuzzo-Dolcetta

We propose an environment recycling scheme to speed up a class of tensor network algorithms that produce an approximation to the ground state of a local Hamiltonian by simulating an evolution in imaginary time. Specifically, we consider the…

Quantum Physics · Physics 2015-03-31 Ho N. Phien , Ian P. McCulloch , Guifré Vidal

Estimating the energy spectra of quantum many-body systems is a fundamental task in quantum physics, with applications ranging from chemistry to condensed matter. Algorithmic shadow spectroscopy is a recent method that leverages randomized…

Quantum Physics · Physics 2026-01-21 Hugo Pages , Chusei Kiumi , Yuto Morohoshi , Bálint Koczor , Kosuke Mitarai

We developed a fast numerical methodfor complex symmetric shifted linear systems, which is motivated by the quantum-mechanical (electronic-structure) theory in nanoscale materials. The method is named shifted Conjugate Orthogonal Conjugate…

Numerical Analysis · Mathematics 2007-05-23 T. Sogabe , T. Hoshi , S. -L. Zhang , T. Fujiwara

Model structure and complexity selection remains a challenging problem in system identification, especially for parametric non-linear models. Many Evolutionary Algorithm (EA) based methods have been proposed in the literature for estimating…

Systems and Control · Electrical Eng. & Systems 2020-07-01 Dhruv Khandelwal , Maarten Schoukens , Roland Tóth

An efficient implementation of the nonequilibrium Green function (NEGF) method combined with the density functional theory (DFT) using localized pseudo-atomic orbitals (PAOs) is presented for electronic transport calculations of a system…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Taisuke Ozaki , Kengo Nishio , Hiori Kino

Effective and controllable data selection is critical for LLM instruction tuning, especially with massive open-source datasets. Existing approaches primarily rely on instance-level quality scores, or diversity metrics based on embedding…

Computation and Language · Computer Science 2026-01-21 Zihan Niu , Wenping Hu , Junmin Chen , Xiyue Wang , Tong Xu , Ruiming Tang

We propose an efficient way to calculate the electronic structure of large systems by combining a large-scale first-principles density functional theory code, Conquest, and an efficient interior eigenproblem solver, the Sakurai-Sugiura…

Materials Science · Physics 2017-04-12 Ayako Nakata , Yasunori Futamura , Tetsuya Sakurai , David R. Bowler , Tsuyoshi Miyazaki

We study Density Functional Theory models for systems which are translationally invariant in some directions, such as a homogeneous 2-d slab in the 3-d space. We show how the different terms of the energy are modified and we derive reduced…

Mathematical Physics · Physics 2021-12-24 David Gontier , Salma Lahbabi , Abdallah Maichine

In a recent paper (J. Chem. Theory. Comput., 2017, 13, 180-190) we proposed the Truncated Conjugate Gradient (TCG) approach to compute the polarization energy and forces in polarizable molecular simulations. The method consists in…

Chemical Physics · Physics 2017-09-05 Félix Aviat , Louis Lagardère , Jean-Philip Piquemal

We compare convergence of isogeometric analysis (IGA), a spline modification of finite element method (FEM), with FEM in the context of our real space code for ab-initio electronic structure calculations of non-periodic systems. The…

Computational Physics · Physics 2021-01-07 Robert Cimrman , Matyáš Novák , Radek Kolman , Miroslav Tůma , Jiří Vackář

We report the implementation of the real-time equation-of-motion coupled-cluster (RT-EOM-CC) cumulant Green's function method [J. Chem. Phys. 152, 174113 (2020)] within the Tensor Algebra for Many-body Methods (TAMM) infrastructure. TAMM is…

We propose an adaptive planewave method for eigenvalue problems in electronic structure calculations. The method combines a priori convergence rates and accurate a posteriori error estimates into an effective way of updating the energy…

Computational Physics · Physics 2021-07-30 Beilei Liu , Huajie Chen , Geneviève Dusson , Jun Fang , Xingyu Gao

In the present work, we introduce a Self-Consistent Density-Functional Embedding technique, which leaves the realm of standard energy-functional approaches in Density Functional Theory and targets directly the density-to-potential mapping…

Computational Physics · Physics 2019-07-17 Uliana Mordovina , Teresa E. Reinhard , Iris Theophilou , Heiko Appel , Angel Rubio