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Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

We propose a new arc consistency enforcement paradigm that transforms arc consistency enforcement into recurrent tensor operations. In each iteration of the recurrence, all involved processes can be fully parallelized with tensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-17 Mingqi Yang

Matrix-accelerated stencil computation is a hot research topic, yet its application to three-dimensional (3D) high-order stencils and HPC remains underexplored. With the emergence of matrix units on multicore CPUs, we analyze matrix-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Yinuo Wang , Tianqi Mao , Lin Gan , Wubing Wan , Zeyu Song , Jiayu Fu , Lanke He , Wenqiang Wang , Zekun Yin , Wei Xue , Guangwen Yang

We propose an algorithm that aims at minimizing the inter-node communication volume for distributed and memory-efficient tensor contraction schemes on modern multi-core compute nodes. The key idea is to define processor grids that optimize…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-19 Andreas Irmler , Raghavendra Kanakagiri , Sebastian T. Ohlmann , Edgar Solomonik , Andreas Grüneis

Tensor accelerators have gained popularity because they provide a cheap and efficient solution for speeding up computational-expensive tasks in Deep Learning and, more recently, in other Scientific Computing applications. However, since…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-15 Paolo Sylos Labini , Massimo Bernaschi , Francesco Silvestri , Flavio Vella

Deploying mixed-precision neural networks on edge devices is friendly to hardware resources and power consumption. To support fully mixed-precision neural network inference, it is necessary to design flexible hardware accelerators for…

Hardware Architecture · Computer Science 2025-02-04 Liang Zhao , Kunming Shao , Fengshi Tian , Tim Kwang-Ting Cheng , Chi-Ying Tsui , Yi Zou

The IEEE 754-2008 standard recommends the correct rounding of some elementary functions. This requires to solve the Table Maker's Dilemma which implies a huge amount of CPU computation time. We consider in this paper accelerating such…

Mathematical Software · Computer Science 2013-06-06 Pierre Fortin , Mourad Gouicem , Stef Graillat

Within the past years, hardware vendors have started designing low precision special function units in response to the demand of the Machine Learning community and their demand for high compute power in low precision formats. Also the…

Performance optimization can be a daunting task especially as the hardware architecture becomes more and more complex. This paper takes a kernel from the Materials Science code BerkeleyGW, and demonstrates a few performance analysis and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-24 Charlene Yang

Recent years have witnessed impressive progress in super-resolution (SR) processing. However, its real-time inference requirement sets a challenge not only for the model design but also for the on-chip implementation. In this paper, we…

Hardware Architecture · Computer Science 2023-04-04 Wenqian Zhao , Qi Sun , Yang Bai , Wenbo Li , Haisheng Zheng , Bei Yu , Martin D. F. Wong

Tensor decompositions have become essential tools for feature extraction and compression of multiway data. Recent advances in tensor operators have enabled desirable properties of standard matrix algebra to be retained for multilinear…

Numerical Analysis · Mathematics 2024-10-01 Katherine Keegan , Elizabeth Newman

This paper presents the design and evaluation of a GPU-accelerated inference pipeline for transformer models using NVIDIA TensorRT with mixed-precision optimization. We evaluate BERT-base (110M parameters) and GPT-2 (124M parameters) across…

Machine Learning · Computer Science 2026-03-31 Soutrik Mukherjee , Sangwhan Cha

We consider the problem of nonnegative tensor completion. We adopt the alternating optimization framework and solve each nonnegative matrix completion problem via a stochastic variation of the accelerated gradient algorithm. We…

Signal Processing · Electrical Eng. & Systems 2021-09-21 Ioanna Siaminou , Ioannis Marios Papagiannakos , Christos Kolomvakis , Athanasios P. Liavas

In order to obtain more accurate solutions of polynomial systems with numerical continuation methods we use multiprecision arithmetic. Our goal is to offset the overhead of double double arithmetic accelerating the path trackers and in…

Mathematical Software · Computer Science 2012-01-04 Jan Verschelde , Genady Yoffe

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental kernel across scientific computing and machine learning. While prior work accelerates SpMM using Tensor Cores, no existing sparse kernel exploits the asynchronous features of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-21 Jie Liu , Huanzhi Pu , Zhiru Zhang

A promising new algebraic approach to weighted model counting makes use of tensor networks, following a reduction from weighted model counting to tensor-network contraction. Prior work has focused on analyzing the single-core performance of…

Data Structures and Algorithms · Computer Science 2021-06-16 Jeffrey M. Dudek , Moshe Y. Vardi

Probabilistic reasoning is an essential tool for robust decision-making systems because of its ability to explicitly handle real-world uncertainty, constraints and causal relations. Consequently, researchers are developing hybrid models by…

Hardware Architecture · Computer Science 2021-03-02 Nimish Shah , Laura I. Galindez Olascoaga , Wannes Meert , Marian Verhelst

This paper presents the Tensor Product Network (TPNet), a novel neural architecture for efficient and accurate function approximation and PDE solving. The core of the proposal involves constructing the solution explicitly as a linear…

Machine Learning · Computer Science 2026-05-29 Qihong Yang , Yangtao Deng , Qiaolin He , Shiquan Zhang

Evolutionary multiobjective optimization has witnessed remarkable progress during the past decades. However, existing algorithms often encounter computational challenges in large-scale scenarios, primarily attributed to the absence of…

Neural and Evolutionary Computing · Computer Science 2024-07-23 Zhenyu Liang , Tao Jiang , Kebin Sun , Ran Cheng

This paper introduces an efficient tensor-vector product technique for the rapid and accurate approximation of integral operators within physics-informed deep learning frameworks. Our approach leverages neural network architectures to…

Machine Learning · Computer Science 2024-09-04 Alireza Afzal Aghaei , Mahdi Movahedian Moghaddam , Kourosh Parand