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We provide a flexible, open-source framework for hardware acceleration, namely massively-parallel execution on general-purpose graphics processing units (GPUs), applied to the hierarchical Poincar\'e--Steklov (HPS) family of algorithms for…

Numerical Analysis · Mathematics 2025-11-17 Owen Melia , Daniel Fortunato , Jeremy Hoskins , Rebecca Willett

Hyperdimensional (HD) computing is built upon its unique data type referred to as hypervectors. The dimension of these hypervectors is typically in the range of tens of thousands. Proposed to solve cognitive tasks, HD computing aims at…

Machine Learning · Computer Science 2020-06-08 Lulu Ge , Keshab K. Parhi

Advanced imitation learning with structures like the transformer is increasingly demonstrating its advantages in robotics. However, deploying these large-scale models on embedded platforms remains a major challenge. In this paper, we…

Machine Learning · Computer Science 2024-11-19 Haizhou Ge , Ruixiang Wang , Zhu-ang Xu , Hongrui Zhu , Ruichen Deng , Yuhang Dong , Zeyu Pang , Guyue Zhou , Junyu Zhang , Lu Shi

The widespread use of multi-sensor technology and the emergence of big datasets has highlighted the limitations of standard flat-view matrix models and the necessity to move towards more versatile data analysis tools. We show that…

Numerical Analysis · Computer Science 2015-06-19 A. Cichocki , D. Mandic , A-H. Phan , C. Caiafa , G. Zhou , Q. Zhao , L. De Lathauwer

Multi-scalar multiplication (MSM) is crucial in cryptographic applications and computationally intensive in zero-knowledge proofs. MSM involves accumulating the products of scalars and points on an elliptic curve over a 377-bit modulus, and…

Hardware Architecture · Computer Science 2025-02-18 Ayumi Ohno , Kotaro Shimamura , Shinya Takamaeda-Yamazaki

Deep neural networks (DNNs) offer plenty of challenges in executing efficient computation at edge nodes, primarily due to the huge hardware resource demands. The article proposes HYDRA, hybrid data multiplexing, and runtime layer…

Hardware Architecture · Computer Science 2026-03-31 Sonu Kumar , Komal Gupta , Gopal Raut , Mukul Lokhande , Santosh Kumar Vishvakarma

With the development of large-scale integrated circuits, electronic design automation~(EDA) tools are increasingly emphasizing efficiency, with parallel algorithms becoming a trend. The optimization of delay reduction is a crucial factor…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-23 Ye Cai , Zonglin Yang , Liwei Ni , Biwei Xie , Xingquan Li

Tensor networks are a class of algorithms aimed at reducing the computational complexity of high-dimensional problems. They are used in an increasing number of applications, from quantum simulations to machine learning. Exploiting data…

Numerical Analysis · Mathematics 2024-10-25 Melven Röhrig-Zöllner , Manuel Joey Becklas , Jonas Thies , Achim Basermann

Deep neural networks (DNNs) have heavily relied on traditional computational units like CPUs and GPUs. However, this conventional approach brings significant computational burdens, latency issues, and high power consumption, limiting their…

Computer Vision and Pattern Recognition · Computer Science 2024-05-29 Quan Liu , Brandon T. Swartz , Ivan Kravchenko , Jason G. Valentine , Yuankai Huo

AI accelerator processing capabilities and memory constraints largely dictate the scale in which machine learning workloads (e.g., training and inference) can be executed within a desirable time frame. Training a state of the art,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-12 Michael Benington , Leo Phan , Chris Pierre Paul , Evan Shoemaker , Priyanka Ranade , Torstein Collett , Grant Hodgson Perez , Christopher Krieger

Distributed optimization is an essential paradigm to solve large-scale optimization problems in modern applications where big-data and high-dimensionality creates a computational bottleneck. Distributed optimization algorithms that exhibit…

Systems and Control · Electrical Eng. & Systems 2023-05-25 Aayushya Agarwal , Larry Pileggi

Improving the computational efficiency of quantum many-body calculations from a hardware perspective remains a critical challenge. Although field-programmable gate arrays (FPGAs) have recently been exploited to improve the computational…

Strongly Correlated Electrons · Physics 2026-02-06 Songtai Lv , Yang Liang , Rui Zhu , Qibin Zheng , Haiyuan Zou

Machine learning (ML) models are widely used in many important domains. For efficiently processing these computational- and memory-intensive applications, tensors of these over-parameterized models are compressed by leveraging sparsity,…

Hardware Architecture · Computer Science 2021-08-11 Shail Dave , Riyadh Baghdadi , Tony Nowatzki , Sasikanth Avancha , Aviral Shrivastava , Baoxin Li

In this paper, we design parallel write-efficient geometric algorithms that perform asymptotically fewer writes than standard algorithms for the same problem. This is motivated by emerging non-volatile memory technologies with read…

Data Structures and Algorithms · Computer Science 2018-07-12 Guy E. Blelloch , Yan Gu , Yihan Sun , Julian Shun

Multilinear Discriminant Analysis (MDA) is a powerful dimension reduction method specifically formulated to deal with tensor data. Precisely, the goal of MDA is to find mode-specific projections that optimally separate tensor data from…

Numerical Analysis · Mathematics 2022-03-03 F. Dufrenois , A. El Ichi , K. Jbilou

In this paper, we propose and study a fast multilevel dimension iteration (MDI) algorithm for computing arbitrary $d$-dimensional integrals based on tensor product approximations. It reduces the computational complexity (in terms of the CPU…

Numerical Analysis · Mathematics 2022-10-26 Xiaobing Feng , Huicong Zhong

This paper presents a Graphics Processing Units (GPUs) acceleration method of an iterative scheme for gas-kinetic model equations. Unlike the previous GPU parallelization of explicit kinetic schemes, this work features a fast converging…

Computational Physics · Physics 2020-01-08 Lianhua Zhu , Peng Wang , Songze Chen , Zhaoli Guo , Yonghao Zhang

Triangular meshes are a widely used representation in the field of 3D modeling. In this paper, we present a novel approach for edge length-based linear subdivision on triangular meshes, along with two auxiliary techniques. We conduct a…

Graphics · Computer Science 2023-10-04 Junyi Shen

This paper introduces a fast Central Processing Unit (CPU) implementation of geodesic morphological operations using stream processing. In contrast to the current state-of-the-art, that focuses on achieving insensitivity to the filter sizes…

Performance · Computer Science 2019-12-02 Danijel Žlaus , Domen Mongus

Triangle counting (TC) is a fundamental problem in graph analysis and has found numerous applications, which motivates many TC acceleration solutions in the traditional computing platforms like GPU and FPGA. However, these approaches suffer…

Hardware Architecture · Computer Science 2020-07-22 Xueyan Wang , Jianlei Yang , Yinglin Zhao , Yingjie Qi , Meichen Liu , Xingzhou Cheng , Xiaotao Jia , Xiaoming Chen , Gang Qu , Weisheng Zhao
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