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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…

应用物理 · 物理学 2024-09-18 Jun Ji , Zichen Xi , Bernadeta R. Srijanto , Ivan I. Kravchenko , Ming Jin , Wenjie Xiong , Linbo Shao

Kernel methods provide a principled way to perform non linear, nonparametric learning. They rely on solid functional analytic foundations and enjoy optimal statistical properties. However, at least in their basic form, they have limited…

机器学习 · 统计学 2018-02-01 Alessandro Rudi , Luigi Carratino , Lorenzo Rosasco

We present a new approach to fault tolerance for High Performance Computing system. Our approach is based on a careful adaptation of the Algorithmic Based Fault Tolerance technique (Huang and Abraham, 1984) to the need of parallel…

分布式、并行与集群计算 · 计算机科学 2008-06-20 George Bosilca , Remi Delmas , Jack Dongarra , Julien Langou

Limited fronthaul capacity is a practical bottleneck in massive multiple-input multiple-output (MIMO) 5G architectures, where a base station (BS) consists of an advanced antenna system (AAS) connected to a baseband unit (BBU). Conventional…

信号处理 · 电气工程与系统科学 2026-01-05 Yasaman Khorsandmanesh , Emil Bjornson , Joakim Jalden

In symmetric block eigenvalue algorithms, such as the subspace iteration algorithm and the locally optimal block preconditioned conjugate gradient (LOBPCG) algorithm, a large block size is often employed to achieve robustness and rapid…

数值分析 · 数学 2025-04-24 Yuqi Liu , Yuxin Ma , Meiyue Shao

We describe a methodology for designing efficient parallel and distributed scientific software. This methodology utilizes sequences of mechanizable algebra--based optimizing transformations. In this study, we apply our methodology to the…

软件工程 · 计算机科学 2008-11-18 Harry B. Hunt , Lenore R. Mullin , Daniel J. Rosenkrantz , James E. Raynolds

Nowadays, parallel computing is ubiquitous in several application fields, both in engineering and science. The computations rely on the floating-point arithmetic specified by the IEEE754 Standard. In this context, an elementary brick of…

计算与语言 · 计算机科学 2022-05-12 Farah Benmouhoub , Pierre-Loïc Garoche , Matthieu Martel

High-contrast imaging instruments need extreme wavefront control to directly image exoplanets. This requires highly sensitive wavefront sensors which optimally make use of the available photons to sense the wavefront. Here, we propose to…

天体物理仪器与方法 · 物理学 2022-09-14 Rico Landman , Christoph Keller , Emiel H. Por , Sebastiaan Haffert , David Doelman , Thijs Stockmans

We describe a parallel algorithm for solving the time-independent 3d Schrodinger equation using the finite difference time domain (FDTD) method. We introduce an optimized parallelization scheme that reduces communication overhead between…

量子物理 · 物理学 2014-11-18 Michael Strickland , David Yager-Elorriaga

Today's exponentially increasing data volumes and the high cost of storage make compression essential for the Big Data industry. Although research has concentrated on efficient compression, fast decompression is critical for analytics…

分布式、并行与集群计算 · 计算机科学 2016-06-03 Evangelia Sitaridi , Rene Mueller , Tim Kaldewey , Guy Lohman , Kenneth Ross

Despite advances using low-rank adapters and quantization, pretraining of large models on consumer hardware has not been possible without model sharding, offloading during training, or per-layer gradient updates. To address these…

A many-body Fourier transformation with logarithmic scaling in the number of necessary two-site gates is implemented. The protocol is applied to study the Bethe chain as a prototype of a translationally invariant system. The resulting band…

量子物理 · 物理学 2024-10-28 Jose Reslen

State-of-the-art hypergraph partitioners follow the multilevel paradigm that constructs multiple levels of progressively coarser hypergraphs that are used to drive cut refinement on each level of the hierarchy. Multilevel partitioners are…

机器学习 · 计算机科学 2023-06-06 Ismail Bustany , Andrew B. Kahng , Ioannis Koutis , Bodhisatta Pramanik , Zhiang Wang

We present a new computationally efficient method for multi-beamforming in the broadband setting. Our "fast beamspace transformation" forms $B$ beams from $M$ sensor outputs using a number of operations per sample that scales linearly (to…

信号处理 · 电气工程与系统科学 2026-04-17 Nakul Singh , Coleman DeLude , Mark Davenport , Justin Romberg

We combine the adaptive and multilevel approaches to the BDDC and formulate a method which allows an adaptive selection of constraints on each decomposition level. We also present a strategy for the solution of local eigenvalue problems in…

数值分析 · 数学 2013-11-12 Bedřich Sousedík , Jakub Šístek , Jan Mandel

Artificial intelligence (AI) provides an alternative way to design channel coding with affordable complexity. However, most existing studies can only learn codes for a given size and rate, typically defined by a fixed network architecture…

信号处理 · 电气工程与系统科学 2024-11-28 Yukun Cheng , Wei Chen , Tianwei Hou , Geoffrey Ye Li , Bo Ai

This paper presents 6T SRAM cell-based bit-parallel in-memory computing (IMC) architecture to support various computations with reconfigurable bit-precision. In the proposed technique, bit-line computation is performed with a short WL…

硬件体系结构 · 计算机科学 2020-08-11 Kyeongho Lee , Jinho Jeong , Sungsoo Cheon , Woong Choi , Jongsun Park

We consider so-called $N$-fold integer programs (IPs) of the form $\max\{c^T x : Ax = b, \ell \leq x \leq u, x \in \mathbb Z^{nt}\}, where $A \in \mathbb Z^{(r+sn)\times nt} consists of $n$ arbitrary matrices $A^{(i)} \in \mathbb Z^{r\times…

数据结构与算法 · 计算机科学 2024-07-11 David Fischer , Julian Golak , Matthias Mnich

In this paper, a work-optimal parallelization of Kostelec and Rockmore's well-known fast Fourier transform and its inverse on the three-dimensional rotation group SO(3) is designed, implemented, and tested. To this end, the sequential…

分布式、并行与集群计算 · 计算机科学 2018-08-03 Denis-Michael Lux , Christian Wülker , Gregory S. Chirikjian

Neural networks are one of the disruptive computing concepts of our time. However, they fundamentally differ from classical, algorithmic computing in a number of fundamental aspects. These differences result in equally fundamental, severe…

神经与进化计算 · 计算机科学 2020-12-22 Xavier Porte , Anas Skalli , Nasibeh Haghighi , Stephan Reitzenstein , James A. Lott , Daniel Brunner