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Most neural networks utilize the same amount of compute for every example independent of the inherent complexity of the input. Further, methods that adapt the amount of computation to the example focus on finding a fixed inference-time…

Machine Learning · Computer Science 2020-04-17 Ankur Bapna , Naveen Arivazhagan , Orhan Firat

CUDA is one of the most popular choices for GPU programming, but it can only be executed on NVIDIA GPUs. Executing CUDA on non-NVIDIA devices not only benefits the hardware community, but also allows data-parallel computation in…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-17 Ruobing Han , Jun Chen , Bhanu Garg , Jeffrey Young , Jaewoong Sim , Hyesoon Kim

We present an implementation of the overlap-and-save method, a method for the convolution of very long signals with short response functions, which is tailored to GPUs. We have implemented several FFT algorithms (using the CUDA programming…

Mathematical Software · Computer Science 2022-11-08 Karel Adámek , Sofia Dimoudi , Mike Giles , Wesley Armour

We present a Pseudo-Transient Topology Optimization (PeTTO) approach that can leverage graphics processing units (GPUs) to efficiently solve single-material and multi-material topology optimization problems. By integrating PeTTO with phase…

Numerical Analysis · Mathematics 2025-09-10 Mingyuan Yang , Qian Yu , Chao Yang

Tensor processing units (TPUs) are one of the most well-known machine learning (ML) accelerators utilized at large scale in data centers as well as in tiny ML applications. TPUs offer several improvements and advantages over conventional ML…

Hardware Architecture · Computer Science 2024-07-12 Mohammed Elbtity , Peyton Chandarana , Ramtin Zand

Transformer models have achieved state-of-the-art performance across a wide range of machine learning tasks. There is growing interest in training transformers on resource-constrained edge devices due to considerations such as privacy,…

Machine Learning · Computer Science 2025-08-07 Jiayi Tian , Jinming Lu , Hai Li , Xiangwei Wang , Cong Hao , Ian Young , Zheng Zhang

The KeOps library provides a fast and memory-efficient GPU support for tensors whose entries are given by a mathematical formula, such as kernel and distance matrices. KeOps alleviates the major bottleneck of tensor-centric libraries for…

Machine Learning · Computer Science 2021-04-10 Benjamin Charlier , Jean Feydy , Joan Alexis Glaunès , François-David Collin , Ghislain Durif

Tucker decomposition is one of the most popular models for analyzing and compressing large-scale tensorial data. Existing Tucker decomposition algorithms usually rely on a single solver to compute the factor matrices and core tensor, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-21 Min Li , Chuanfu Xiao , Chao Yang

In this paper we present a new methodology for data accesses when solving batches of Tridiagonal and Pentadiagonal matrices that all share the same LHS matrix. By only storing one copy of this matrix there is a significant reduction in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-13 Andrew Gloster , Enda Carroll , Miguel Bustamante , Lennon O'Naraigh

TensorNetwork is an open source library for implementing tensor network algorithms in TensorFlow. We describe a tree tensor network (TTN) algorithm for approximating the ground state of either a periodic quantum spin chain (1D) or a lattice…

Strongly Correlated Electrons · Physics 2019-05-07 Ashley Milsted , Martin Ganahl , Stefan Leichenauer , Jack Hidary , Guifre Vidal

Deep learning (DL) compilers rely on cost models and auto-tuning to optimize tensor programs for target hardware. However, existing approaches depend on large offline datasets, incurring high collection costs and offering suboptimal…

Machine Learning · Computer Science 2026-04-15 Chaoyao Shen , Linfeng Jiang , Yixian Shen , Tao Xu , Guoqing Li , Anuj Pathania , Andy D. Pimentel , Meng Zhang

Most currently used tensor regression models for high-dimensional data are based on Tucker decomposition, which has good properties but loses its efficiency in compressing tensors very quickly as the order of tensors increases, say greater…

Methodology · Statistics 2024-03-20 Yuefeng Si , Yingying Zhang , Yuxi Cai , Chunling Liu , Guodong Li

Matrix and tensor operations form the basis of a wide range of fields and applications, and in many cases constitute a substantial part of the overall computational complexity. The ability of general-purpose GPUs to speed up many of these…

Mathematical Software · Computer Science 2018-10-23 Ewout van den Berg

Low-rank tensor compression has been proposed as a promising approach to reduce the memory and compute requirements of neural networks for their deployment on edge devices. Tensor compression reduces the number of parameters required to…

Machine Learning · Computer Science 2021-11-03 Cole Hawkins , Haichuan Yang , Meng Li , Liangzhen Lai , Vikas Chandra

Deep learning models with convolutional and recurrent networks are now ubiquitous and analyze massive amounts of audio, image, video, text and graph data, with applications in automatic translation, speech-to-text, scene understanding,…

Distributed training techniques have been widely deployed in large-scale deep neural networks (DNNs) training on dense-GPU clusters. However, on public cloud clusters, due to the moderate inter-connection bandwidth between instances,…

Tucker decomposition is one of the SOTA CNN model compression techniques. However, unlike the FLOPs reduction, we observe very limited inference time reduction with Tucker-compressed models using existing GPU software such as cuDNN. To this…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-06 Lizhi Xiang , Miao Yin , Chengming Zhang , Aravind Sukumaran-Rajam , P. Sadayappan , Bo Yuan , Dingwen Tao

This paper describes in detail the bitonic sort algorithm,and implements the bitonic sort algorithm based on cuda architecture.At the same time,we conduct two effective optimization of implementation details according to the characteristics…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-31 Qi Mu , Liqing Cui , Yufei Song

Unbalanced optimal transport (UOT) has been widely used as a fundamental tool in many application domains, where it often dominates the application running time. While many researchers have proposed various optimizations for UOT, few have…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-17 Chengyu Sun , Jinyu Hu , Hong Jiang

Transformers have attained superior performance in natural language processing and computer vision. Their self-attention and feedforward layers are overparameterized, limiting inference speed and energy efficiency. Tensor decomposition is a…

Machine Learning · Computer Science 2022-12-01 Jiaqi Gu , Ben Keller , Jean Kossaifi , Anima Anandkumar , Brucek Khailany , David Z. Pan