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Matrix decompositions are ubiquitous in machine learning, including applications in dimensionality reduction, data compression and deep learning algorithms. Typical solutions for matrix decompositions have polynomial complexity which…

Machine learning algorithms are being used more frequently in the first-level triggers in collider experiments, with Graph Neural Networks pushing the hardware requirements of FPGA-based triggers beyond the current state of the art. To meet…

高能物理 - 实验 · 物理学 2026-02-27 Marc Neu , Isabel Haide , Torben Ferber , Jürgen Becker

The Tucker tensor decomposition is a natural extension of the singular value decomposition (SVD) to multiway data. We propose to accelerate Tucker tensor decomposition algorithms by using randomization and parallelization. We present two…

数值分析 · 数学 2023-06-12 Rachel Minster , Zitong Li , Grey Ballard

Tensor networks have proven to be a valuable tool, for instance, in the classical simulation of (strongly correlated) quantum systems. As the size of the systems increases, contracting larger tensor networks becomes computationally…

量子物理 · 物理学 2025-07-29 Manuel Geiger , Qunsheng Huang , Christian B. Mendl

General matrix-matrix multiplication (GEMM) is a cornerstone of AI computations, making tensor processing engines (TPEs) increasingly critical in GPUs and domain-specific architectures. Existing architectures primarily optimize dataflow or…

硬件体系结构 · 计算机科学 2025-03-11 Qizhe Wu , Huawen Liang , Yuchen Gui , Zhichen Zeng , Zerong He , Linfeng Tao , Xiaotian Wang , Letian Zhao , Zhaoxi Zeng , Wei Yuan , Wei Wu , Xi Jin

Network pruning can reduce the computation cost of deep neural network (DNN) models. However, sparse models often produce randomly-distributed weights to maintain accuracy, leading to irregular computations. Consequently, unstructured…

分布式、并行与集群计算 · 计算机科学 2024-02-19 Cong Guo , Fengchen Xue , Jingwen Leng , Yuxian Qiu , Yue Guan , Weihao Cui , Quan Chen , Minyi Guo

This work proposes a novel tensor train random projection (TTRP) method for dimension reduction, where pairwise distances can be approximately preserved. Our TTRP is systematically constructed through a tensor train (TT) representation with…

机器学习 · 统计学 2021-10-22 Yani Feng , Kejun Tang , Lianxing He , Pingqiang Zhou , Qifeng Liao

There is often variation in the shape and size of input data used for deep learning. In many cases, such data can be represented using tensors with non-uniform shapes, or ragged tensors. Due to limited and non-portable support for efficient…

机器学习 · 计算机科学 2022-03-23 Pratik Fegade , Tianqi Chen , Phillip B. Gibbons , Todd C. Mowry

Sparse general matrix-matrix multiplication (spGEMM) is an essential component in many scientific and data analytics applications. However, the sparsity pattern of the input matrices and the interaction of their patterns make spGEMM…

数学软件 · 计算机科学 2020-10-01 Orestis Zachariadis , Nitin Satpute , Juan Gómez-Luna , Joaquín Olivares

Single-Program-Multiple-Data (SPMD) parallelism has recently been adopted to train large deep neural networks (DNNs). Few studies have explored its applicability on heterogeneous clusters, to fully exploit available resources for large…

分布式、并行与集群计算 · 计算机科学 2024-01-12 Shiwei Zhang , Lansong Diao , Chuan Wu , Zongyan Cao , Siyu Wang , Wei Lin

We propose LIGHTNE 2.0, a cost-effective, scalable, automated, and high-quality network embedding system that scales to graphs with hundreds of billions of edges on a single machine. In contrast to the mainstream belief that distributed…

社会与信息网络 · 计算机科学 2023-02-15 Yuyang Xie , Jiezhong Qiu , Laxman Dhulipala , Wenjian Yu , Jie Tang , Richard Peng , Chi Wang

Weight pruning in deep neural networks (DNNs) can reduce storage and computation cost, but struggles to bring practical speedup to the model inference time. Tensor-cores can significantly boost the throughput of GPUs on dense computation,…

分布式、并行与集群计算 · 计算机科学 2022-03-15 Guyue Huang , Haoran Li , Minghai Qin , Fei Sun , Yufei Ding , Yuan Xie

Support for lower precision computation is becoming more common in accelerator hardware due to lower power usage, reduced data movement and increased computational performance. However, computational science and engineering (CSE) problems…

分布式、并行与集群计算 · 计算机科学 2021-09-06 Jennifer A. Loe , Christian A. Glusa , Ichitaro Yamazaki , Erik G. Boman , Sivasankaran Rajamanickam

The training of graph neural networks (GNNs) is extremely time consuming because sparse graph-based operations are hard to be accelerated by hardware. Prior art explores trading off the computational precision to reduce the time complexity…

机器学习 · 计算机科学 2023-07-04 Zirui Liu , Shengyuan Chen , Kaixiong Zhou , Daochen Zha , Xiao Huang , Xia Hu

To respond to the need of efficient training and inference of deep neural networks, a plethora of domain-specific hardware architectures have been introduced, such as Google Tensor Processing Units and NVIDIA Tensor Cores. A common feature…

数据结构与算法 · 计算机科学 2020-07-10 Rezaul Chowdhury , Francesco Silvestri , Flavio Vella

Graph neural networks (GNNs) have seen extensive application in domains such as social networks, bioinformatics, and recommendation systems. However, the irregularity and sparsity of graph data challenge traditional computing methods, which…

机器学习 · 计算机科学 2025-02-25 Ka Wai Wu

Randomized neural networks for representation learning have consistently achieved prominent results in texture recognition tasks, effectively combining the advantages of both traditional techniques and learning-based approaches. However,…

计算机视觉与模式识别 · 计算机科学 2025-10-06 Ricardo T. Fares , Lucas C. Ribas

This paper surveys randomized algorithms in numerical linear algebra for low-rank decompositions of matrices and tensors. The survey begins with a review of classical matrix algorithms that can be accelerated by randomized dimensionality…

数值分析 · 数学 2026-01-01 Katherine J. Pearce , Per-Gunnar Martinsson

This work investigates the ways in which deep learning methods can benefit from random projection (RP), a classic linear dimensionality reduction method. We focus on two areas where, as we have found, employing RP techniques can improve…

机器学习 · 计算机科学 2018-12-27 Piotr Iwo Wójcik

To analyze the abundance of multidimensional data, tensor-based frameworks have been developed. Traditionally, the matrix singular value decomposition (SVD) is used to extract the most dominant features from a matrix containing the…

机器学习 · 计算机科学 2021-11-02 Katherine Keegan , Tanvi Vishwanath , Yihua Xu