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Simulation of the monodomain equation, crucial for modeling the heart's electrical activity, faces scalability limits when traditional numerical methods only parallelize in space. To optimize the use of large multi-processor computers by…

Numerical Analysis · Mathematics 2024-05-31 Giacomo Rosilho de Souza , Simone Pezzuto , Rolf Krause

We propose a primal-dual parallel proximal splitting method for solving domain decomposition problems for partial differential equations. The problem is formulated via minimization of energy functions on the subdomains with coupling…

Numerical Analysis · Mathematics 2014-10-17 Hédy Attouch , Luis M. Briceño-Arias , Patrick L. Combettes

The Jaccard similarity index is an important measure of the overlap of two sets, widely used in machine learning, computational genomics, information retrieval, and many other areas. We design and implement SimilarityAtScale, the first…

Computational Engineering, Finance, and Science · Computer Science 2020-11-12 Maciej Besta , Raghavendra Kanakagiri , Harun Mustafa , Mikhail Karasikov , Gunnar Rätsch , Torsten Hoefler , Edgar Solomonik

Diffusion large language models (dLLMs) have recently drawn considerable attention within the research community as a promising alternative to autoregressive generation, offering parallel token prediction and lower inference latency. Yet,…

Computation and Language · Computer Science 2025-10-01 Zigeng Chen , Gongfan Fang , Xinyin Ma , Ruonan Yu , Xinchao Wang

We present a new adaptive parallel algorithm for the challenging problem of multi-dimensional numerical integration on massively parallel architectures. Adaptive algorithms have demonstrated the best performance, but efficient many-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-24 Ioannis Sakiotis , Kamesh Arumugam , Marc Paterno , Desh Ranjan , Balša Terzić , Mohammad Zubair

Seismic traveltime tomography represents a popular and useful tool for unravelling the structure of the subsurface across the scales. In this work we address the case where the forward model is represented by the eikonal equation and derive…

Geophysics · Physics 2025-08-21 Andrea Zunino , Scott Keating , Andreas Fichtner

Massive MIMO systems are seen by many researchers as a paramount technology toward next generation networks. This technology consists of hundreds of antennas that are capable of sending and receiving simultaneously a huge amount of data.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-25 A. Dabah , H. Ltaief , Z. Rezki , M. -A. Arfaoui , M. -S. Alouini , D. Keyes

An algorithm for a family of self-starting high-order implicit time integration schemes with controllable numerical dissipation is proposed for both linear and nonlinear transient problems. This work builds on the previous works of the…

Numerical Analysis · Mathematics 2024-09-23 Daniel O'Shea , Xiaoran Zhang , Shayan Mohammadian , Chongmin Song

In this paper, we propose a domain decomposition dynamical low-rank method to solve high-dimensional radiative transfer problems and similar kinetic equations. The algorithm uses a separate low-rank approximation on each spatial subdomain,…

Numerical Analysis · Mathematics 2026-02-17 Stefan Brunner , Lukas Einkemmer , Terry Haut

Distributed desynchronization algorithms are key to wireless sensor networks as they allow for medium access control in a decentralized manner. In this paper, we view desynchronization primitives as iterative methods that solve optimization…

Systems and Control · Computer Science 2016-11-18 Nikos Deligiannis , Joao F. C. Mota , George Smart , Yiannis Andreopoulos

Multiply-accumulation (MAC) is a crucial computing operation in signal processing, numerical simulations, and machine learning. This work presents a scalable, programmable, frequency-domain parallel computing leveraging gigahertz…

Applied Physics · Physics 2024-09-18 Jun Ji , Zichen Xi , Bernadeta R. Srijanto , Ivan I. Kravchenko , Ming Jin , Wenjie Xiong , Linbo Shao

Specialized function gradient computing hardware could greatly improve the performance of state-of-the-art optimization algorithms, e.g., based on gradient descent or conjugate gradient methods that are at the core of control, machine…

A parallel direct solution approach based on domain decomposition method (DDM) and directed acyclic graph (DAG) scheduling is outlined. Computations are represented as a sequence of small tasks that operate on domains of DDM or dense matrix…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-13 Javad Moshfegh , Dimitrios G. Makris , Marinos N. Vouvakis

Parallel real-time embedded applications can be modelled as directed acyclic graphs (DAGs) whose nodes model subtasks and whose edges model precedence constraints among subtasks. Efficiently scheduling such parallel tasks can be challenging…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-24 Shardul Lendve , Konstantinos Bletsas , Pedro F. Souto

Generalized sparse matrix-matrix multiplication is a key primitive for many high performance graph algorithms as well as some linear solvers such as multigrid. We present the first parallel algorithms that achieve increasing speedups for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Aydın Buluç , John R. Gilbert

Parallel scaling has emerged as a powerful paradigm to enhance reasoning capabilities in large language models (LLMs) by generating multiple Chain-of-Thought (CoT) traces simultaneously. However, this approach introduces significant…

Computation and Language · Computer Science 2026-04-17 Shangqing Tu , Yaxuan Li , Yushi Bai , Lei Hou , Juanzi Li

A parallel algorithm has perfect strong scaling if its running time on P processors is linear in 1/P, including all communication costs. Distributed-memory parallel algorithms for matrix multiplication with perfect strong scaling have only…

Data Structures and Algorithms · Computer Science 2012-02-16 Grey Ballard , James Demmel , Olga Holtz , Benjamin Lipshitz , Oded Schwartz

Prior work on Automatically Scalable Computation (ASC) suggests that it is possible to parallelize sequential computation by building a model of whole-program execution, using that model to predict future computations, and then…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-21 Peter Kraft , Amos Waterland , Daniel Y Fu , Anitha Gollamudi , Shai Szulanski , Margo Seltzer

In view of the existing limitations of sequential computing, parallelization has emerged as an alternative in order to improve the speedup of numerical simulations. In the framework of evolutionary problems, space-time parallel methods…

Numerical Analysis · Mathematics 2025-02-13 Andrés Arrarás , Francisco J. Gaspar , Iñigo Jimenez-Ciga , Laura Portero

Diagrammatic expansions are a paradigmatic and powerful tool of quantum many-body theory. Their evaluation to high order, e.g., by the Diagrammatic Monte Carlo technique, can provide unbiased results in strongly correlated and challenging…

Strongly Correlated Electrons · Physics 2025-01-03 John Sturt , Evgeny Kozik