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In this paper we focus on the unconstrained binary quadratic optimization model, maximize x^t Qx, x binary, and consider the problem of identifying optimal solutions that are robust with respect to perturbations in the Q matrix.. We are…

Artificial Intelligence · Computer Science 2017-09-25 Mark Lewis , Gary Kochenberger , John Metcalfe

Security for machine learning has begun to become a serious issue for present day applications. An important question remaining is whether emerging quantum technologies will help or hinder the security of machine learning. Here we discuss a…

Quantum Physics · Physics 2017-11-20 Nathan Wiebe , Ram Shankar Siva Kumar

The supercomputing platforms available for high performance computing based research evolve at a great rate. However, this rapid development of novel technologies requires constant adaptations and optimizations of the existing codes for…

High Energy Physics - Lattice · Physics 2017-02-23 Marina Krstic Marinkovic , Luka Stanisic

The reduction of a banded matrix to bidiagonal form is a critical step in the calculation of Singular Values, a cornerstone of scientific computing and AI. Although inherently parallel, this step has traditionally been considered unsuitable…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-14 Evelyne Ringoot , Rabab Alomairy , Alan Edelman

Due to its optimal complexity, the multigrid (MG) method is one of the most popular approaches for solving large-scale linear systems arising from the discretization of partial differential equations. However, the parallel implementation of…

Numerical Analysis · Mathematics 2025-02-27 Hardik Kothari , Maria Giuseppina Chiara Nestola , Marco Favino , Rolf Krause

Computation of correlation functions is a key operation in Lattice quantum chromodynamics (LQCD) simulations to extract nuclear physics observables. These functions involve many binary batch tensor contractions, each tensor possibly…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-05 Oguz Selvitopi , Emin Ozturk , Jie Chen , Ponnuswamy Sadayappan , Robert G. Edwards , Aydın Buluç

Implicit methods and GPU parallelization are two distinct yet powerful strategies for accelerating high-order CFD algorithms. However, few studies have successfully integrated both approaches within high-speed flow solvers. The core…

Numerical Analysis · Mathematics 2025-09-09 Hongyu Liu , Xing Ji , Yuan Fu , Kun Xu

Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) is widely used to compute eigenvalues of large sparse symmetric matrices. The algorithm can suffer from numerical instability if it is not implemented with care. This is…

Numerical Analysis · Mathematics 2018-10-05 Jed A. Duersch , Meiyue Shao , Chao Yang , Ming Gu

Recent advances in large language models have led to specialized models excelling in specific domains, creating a need for efficient model merging techniques. While traditional merging approaches combine parameters into a single static…

Computation and Language · Computer Science 2025-05-26 Shuqi Liu , Yuxuan Yao , Bowei He , Zehua Liu , Xiongwei Han , Mingxuan Yuan , Han Wu , Linqi Song

Cloud database systems, particularly their middleware and query execution layers, use sorting as a core operation in query processing, indexing and join execution. Distribution-dependence and limited parallelism are key issues inherent in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-13 Michael Dang'ana

Coded computation techniques provide robustness against straggling servers in distributed computing, with the following limitations: First, they increase decoding complexity. Second, they ignore computations carried out by straggling…

Machine Learning · Computer Science 2018-11-29 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

In this paper, we propose two mixed precision algorithms for Block-Jacobi preconditioner(BJAC): a fixed low precision strategy and an adaptive precision strategy. We evaluate the performance improvement of the proposed mixed precision BJAC…

Numerical Analysis · Mathematics 2024-10-16 Ningxi Tian , Silu Huang , Xiaowen Xu

We report on our implementation of the RHMC algorithm for the simulation of lattice QCD with two staggered flavors on Graphics Processing Units, using the NVIDIA CUDA programming language. The main feature of our code is that the GPU is not…

High Energy Physics - Lattice · Physics 2012-01-26 Claudio Bonati , Guido Cossu , Massimo D'Elia , Pietro Incardona

We propose a generic algorithmic building block to accelerate training of machine learning models on heterogeneous compute systems. Our scheme allows to efficiently employ compute accelerators such as GPUs and FPGAs for the training of…

Machine Learning · Computer Science 2017-11-08 Celestine Dünner , Thomas Parnell , Martin Jaggi

The gap between the cost of moving data and the cost of computing continues to grow, making it ever harder to design iterative solvers on extreme-scale architectures. This problem can be alleviated by alternative algorithms that reduce the…

A rich body of prior work has highlighted the existence of communication bottlenecks in synchronous data-parallel training. To alleviate these bottlenecks, a long line of recent work proposes gradient and model compression methods. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-01 Saurabh Agarwal , Hongyi Wang , Shivaram Venkataraman , Dimitris Papailiopoulos

Memory bandwidth is known to be a performance bottleneck for FPGA accelerators, especially when they deal with large multi-dimensional data-sets. A large body of work focuses on reducing of off-chip transfers, but few authors try to improve…

Hardware Architecture · Computer Science 2024-01-23 Corentin Ferry , Nicolas Derumigny , Steven Derrien , Sanjay Rajopadhye

We study the acceleration of steady-state computation for microflow, which is modeled by the high-order moment models derived recently from the steady-state Boltzmann equation with BGK-type collision term. By using the lower-order model…

Numerical Analysis · Mathematics 2016-11-23 Zhicheng Hu , Ruo Li , Zhonghua Qiao

Computing-in-Memory (CIM) accelerators are a promising solution for accelerating Machine Learning (ML) workloads, as they perform Matrix-Vector Multiplications (MVMs) on crossbar arrays directly in memory. Although the bit widths of the…

Machine Learning · Computer Science 2026-03-20 Rebecca Pelke , Joel Klein , Jose Cubero-Cascante , Nils Bosbach , Jan Moritz Joseph , Rainer Leupers

We develop error-tolerant quantum state discrimination(QSD) strategies that maintain reliable performance under moderate noise. Two complementary approaches are proposed: CrossQSD, which generalizes unambiguous discrimination with tunable…

Quantum Physics · Physics 2026-05-19 Chien-Kai Ma , Bo-Hung Chen , Tian-Fu Chen , Dah-Wei Chiou , Jie-Hong Roland Jiang