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We present a hardware-efficient optimization scheme for quantum chemistry calculations, utilizing the Sampled Quantum Diagonalization (SQD) method. Our algorithm, optimized SQD (SQDOpt), combines the classical Davidson method technique with…

Quantum Physics · Physics 2025-03-05 Nora Bauer , Kübra Yeter-Aydeniz , George Siopsis

In this work, we propose a novel straightforward method for medical volume and sequence segmentation with limited annotations. To avert laborious annotating, the recent success of self-supervised learning(SSL) motivates the pre-training on…

Computer Vision and Pattern Recognition · Computer Science 2023-10-04 Zejian Chen , Wei Zhuo , Tianfu Wang , Wufeng Xue , Dong Ni

Understanding many processes, e.g. fusion experiments, planetary interiors and dwarf stars, depends strongly on microscopic physics modeling of warm dense matter (WDM) and hot dense plasma. This complex state of matter consists of a…

Computational Physics · Physics 2020-08-05 Alexander J. White , Lee A. Collins

Owing to the advances in computational techniques and the increase in computational power, atomistic simulations of materials can simulate large systems with higher accuracy. Complex phenomena can be observed in such state-of-the-art…

Materials Science · Physics 2022-02-16 Ryo Tamura , Momo Matsuda , Jianbo Lin , Yasunori Futamura , Tetsuya Sakurai , Tsuyoshi Miyazaki

To prepare images for better segmentation, we need preprocessing applications, such as smoothing, to reduce noise. In this paper, we present an enhanced computation method for smoothing 2D object in binary case. Unlike existing approaches,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-31 Ramzi Mahmoudi , Mohamed Akil

In this paper, we address a way to reduce the total computational cost of meshless approximation by reducing the required stencil size through spatially varying computational node regularity. Rather than covering the entire domain with…

Numerical Analysis · Mathematics 2025-02-19 Miha Rot , Mitja Jančič , Gregor Kosec

This master thesis introduces the idea of dynamic cutoffs in molecular dynamics simulations, based on the distance between particles and the interface, and presents a solution for detecting interfaces in real-time. Our dynamic cutoff method…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-12 Paul Springer

Distributed cooperative localization in wireless networks is a challenging problem since it typically requires solving a large-scale nonconvex and nonsmooth optimization problem. In this paper, we reformulate the classic cooperative…

Optimization and Control · Mathematics 2023-08-08 Mei Zhang , Zhiguo Wang , Feng Yin , Xiaojing Shen

As electronic structure simulations continue to grow in size, the system-size scaling of computational costs increases in importance relative to cost prefactors. Presently, linear-scaling costs for three-dimensional systems are only…

Computational Physics · Physics 2019-07-04 Jonathan E. Moussa , Andrew D. Baczewski

This survey explores modern approaches for computing low-rank approximations of high-dimensional matrices by means of the randomized SVD, randomized subspace iteration, and randomized block Krylov iteration. The paper compares the…

Numerical Analysis · Mathematics 2023-09-25 Joel A. Tropp , Robert J. Webber

Stochastic computing (SC) offers hardware simplicity but suffers from low throughput, while high-throughput Digital Computing-in-Memory (DCIM) is bottlenecked by costly adder logic for matrix-vector multiplication (MVM). To address this…

Hardware Architecture · Computer Science 2026-01-13 Kunming Shao , Liang Zhao , Jiangnan Yu , Zhipeng Liao , Xiaomeng Wang , Yi Zou , Tim Kwang-Ting Cheng , Chi-Ying Tsui

We have developed a new, very efficient numerical scheme to solve the CR diffusion convection equation that can be applied to the study of the nonlinear time evolution of CR modified shocks for arbitrary spatial diffusion properties. The…

Astrophysics · Physics 2009-11-11 T. W. Jones , H. Kang

Deep learning is a powerful tool to represent subgrid processes in climate models, but many application cases have so far used idealized settings and deterministic approaches. Here, we develop stochastic parameterizations with calibrated…

We investigate the properties of a Block Decomposition Method (BDM), which extends the power of a Coding Theorem Method (CTM) that approximates local estimations of algorithmic complexity based upon Solomonoff-Levin's theory of algorithmic…

Information Theory · Computer Science 2018-06-20 Hector Zenil , Santiago Hernández-Orozco , Narsis A. Kiani , Fernando Soler-Toscano , Antonio Rueda-Toicen

The present work demonstrates a robust protocol for probing localized electronic structure in condensed-phase systems, operating in terms of a recently proposed theory for decomposing the results of Kohn-Sham density functional theory in a…

Chemical Physics · Physics 2021-06-29 Janus J. Eriksen

The computational complexity and efficiency of the approximate mode component synthesis (ACMS) method is investigated for the two-dimensional heterogeneous Helmholtz equations, aiming at the simulation of large but finite-size photonic…

Numerical Analysis · Mathematics 2024-10-11 Elena Giammatteo , Alexander Heinlein , Philip Lukas Lederer , Matthias Schlottbom

In diffusion MRI (dMRI), a good sampling scheme is important for efficient acquisition and robust reconstruction. Diffusion weighted signal is normally acquired on single or multiple shells in q-space. Signal samples are typically…

Medical Physics · Physics 2017-09-26 Jian Cheng , Dinggang Shen , Pew-Thian Yap , Peter J. Basser

Linear-scaling implementations of density functional theory (DFT) reach their intended efficiency regime only when applied to systems having a physical size larger than the range of their Kohn-Sham density matrix (DM). This causes a problem…

Chemical Physics · Physics 2022-03-25 Marcel David Fabian , Ben Shpiro , Eran Rabani , Daniel Neuhauser , Roi Baer

The sample-based quantum diagonalization (SQD) method shows great promise in quantum-centric simulations of ground state energies in molecular systems. Inclusion of solute-solvent interactions in simulations of electronic structure is…

Quantum Physics · Physics 2025-02-17 Danil Kaliakin , Akhil Shajan , Fangchun Liang , Kenneth M. Merz

An efficient, accurate and reliable approximation of a matrix by one of lower rank is a fundamental task in numerical linear algebra and signal processing applications. In this paper, we introduce a new matrix decomposition approach termed…

Numerical Analysis · Computer Science 2018-08-15 Maboud F. Kaloorazi , Rodrigo C. de Lamare
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