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An efficient numerical algorithm for the laser driven multi-level ionization of high-atomic-number gases is proposed and implemented in an electromagnetic particle-in-cell code SPACE. The algorithm is based on analytical solutions to the…

Plasma Physics · Physics 2022-02-23 Aiqi Cheng , Roman Samulyak

In this paper we study the inference of the kinetic Ising model on sparse graphs by the decimation method. The decimation method, which was first proposed in [Phys. Rev. Lett. 112, 070603] for the static inverse Ising problem, tries to…

Disordered Systems and Neural Networks · Physics 2016-06-30 Aurélien Decelle , Pan Zhang

We present an algorithm for cluster dynamics to efficiently simulate large systems on MIMD parallel computers with large numbers of processors. The method divides physical space into rectangular cells which are assigned to processors and…

High Energy Physics - Lattice · Physics 2009-10-22 Mike Flanigan , Pablo Tamayo

Optimizing the parallel training of large models requires exploring intra-operator parallelism plans for a computation graph that typically contains tens of thousands of primitive operators. While the optimization of parallel data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Weifang Hu , Xuanhua Shi , Yunkai Zhang , Chang Wu , Xuan Peng , Jiaqi Zhai , Hai Jin , Xuehai Qian , Jingling Xue , Yongluan Zhou

In combinatorial optimization, probabilistic Ising machines (PIMs) have gained significant attention for their acceleration of Monte Carlo sampling with the potential to reduce time-to-solution in finding approximate ground states. However,…

Materials Science · Physics 2025-06-18 Shuhan Yang , Andrea Grimaldi , Youwei Bao , Eleonora Raimondo , Jia Si , Giovanni Finocchio , Hyunsoo Yang

Physics-inspired computing paradigms, such as Ising machines, are emerging as promising hardware alternatives to traditional von Neumann architectures for tackling computationally intensive combinatorial optimization problems (COPs). While…

Applied Physics · Physics 2026-03-17 Sai Li , Yihao Zhang , Albert Lee , Zheng Zhu , Lang Zeng , Peng Wang , Lei Gao , Di Wu , Weisheng Zhao

We show from ab initio laser theory that by choosing an appropriate spatial pump profile, many different spatial modes of a typical microlaser can be turned on at the same pump energy, substantially increasing the number, N, of simultaneous…

Optics · Physics 2017-02-28 Li Ge , Hui Cao , A. Douglas Stone

This letter proposes a novel method for accelerating iterative detection for spatially coupled (SC) systems. An SC system is constructed by one-dimensional coupling of many subsystems, which are classified into training and propagation…

Information Theory · Computer Science 2016-11-18 Keigo Takeuchi

We revisit the unrelated machine scheduling problem with the weighted completion time objective. It is known that independent rounding achieves a 1.5 approximation for the problem, and many prior algorithms improve upon this ratio by…

Data Structures and Algorithms · Computer Science 2024-10-22 Shi Li

The parallel linear equations solver capable of effectively using 1000+ processors becomes the bottleneck of large-scale implicit engineering simulations. In this paper, we present a new hierarchical parallel master-slave-structural…

Computational Physics · Physics 2015-06-11 Ran Xu , Bin Liu , Yuan Dong

Local search is a successful approach for solving combinatorial optimization and constraint satisfaction problems. With the progressing move toward multi and many-core systems, GPUs and the quest for Exascale systems, parallelism has become…

Programming Languages · Computer Science 2013-05-13 Rui Machado , Salvador Abreu , Daniel Diaz

Large Neighborhood Search (LNS) is a combinatorial optimization heuristic that starts with an assignment of values for the variables to be optimized, and iteratively improves it by searching a large neighborhood around the current…

Optimization and Control · Mathematics 2022-05-23 Nicolas Sonnerat , Pengming Wang , Ira Ktena , Sergey Bartunov , Vinod Nair

We present a novel deep learning approach to approximate the solution of large, sparse, symmetric, positive-definite linear systems of equations. These systems arise from many problems in applied science, e.g., in numerical methods for…

Machine Learning · Computer Science 2022-10-04 Ayano Kaneda , Osman Akar , Jingyu Chen , Victoria Kala , David Hyde , Joseph Teran

Mixed packing and covering problems are problems that can be formulated as linear programs using only non-negative coefficients. Examples include multicommodity network flow, the Held-Karp lower bound on TSP, fractional relaxations of set…

Data Structures and Algorithms · Computer Science 2016-01-19 Neal E. Young

Existing computationally efficient methods for penalized likelihood GAM fitting employ iterative smoothness selection on working linear models (or working mixed models). Such schemes fail to converge for a non-negligible proportion of…

Methodology · Statistics 2015-11-13 Simon N. Wood

Distributed execution of deep learning training involves a dynamic interplay between hardware accelerator architecture and device placement strategy. This is the first work to explore the co-optimization of determining the optimal…

Machine Learning · Computer Science 2024-07-19 Irene Wang , Jakub Tarnawski , Amar Phanishayee , Divya Mahajan

Phase matching has been studied for the Grover algorithm as a way of enhancing the efficiency of the quantum search. Recently Li and Li found that a particular form of phase matching yields, with a single Grover operation, a success…

Quantum Physics · Physics 2009-11-13 F. M. Toyama , W. van Dijk , Y. Nogami , M. Tabuchi , Y. Kimura

This paper presents a novel algorithm, the particle-based, rapid incremental smoother (PaRIS), for efficient online approximation of smoothed expectations of additive state functionals in general hidden Markov models. The algorithm, which…

Computation · Statistics 2014-12-25 Jimmy Olsson , Johan Westerborn

Ising machines are hardware solvers which aim to find the absolute or approximate ground states of the Ising model. The Ising model is of fundamental computational interest because it is possible to formulate any problem in the complexity…

Quantum Physics · Physics 2022-04-04 Naeimeh Mohseni , Peter L. McMahon , Tim Byrnes

Simulated annealing (SA) attracts more attention among classical heuristic algorithms because the solution of the combinatorial optimization problem can be naturally mapped to the ground state of the Ising Hamiltonian. However, in practical…

Artificial Intelligence · Computer Science 2022-03-28 Yunuo Cen , Debasis Das , Xuanyao Fong