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A quantum processing unit (QPU) must contain a large number of high quality qubits to produce accurate results for problems at useful scales. In contrast, most scientific and industry classical computation workloads happen in parallel on…

新兴技术 · 计算机科学 2025-02-06 Wei Tang , Margaret Martonosi

Channel pruning and tensor decomposition have received extensive attention in convolutional neural network compression. However, these two techniques are traditionally deployed in an isolated manner, leading to significant accuracy drop…

计算机视觉与模式识别 · 计算机科学 2021-05-25 Yuchao Li , Shaohui Lin , Jianzhuang Liu , Qixiang Ye , Mengdi Wang , Fei Chao , Fan Yang , Jincheng Ma , Qi Tian , Rongrong Ji

This work proposes a GPU tensor core approach that encodes the arithmetic reduction of $n$ numbers as a set of chained $m \times m$ matrix multiply accumulate (MMA) operations executed in parallel by GPU tensor cores. The asymptotic running…

分布式、并行与集群计算 · 计算机科学 2020-01-17 Cristóbal A. Navarro , Roberto Carrasco , Ricardo J. Barrientos , Javier A. Riquelme , Raimundo Vega

Tensor network contraction is central to problems ranging from many-body physics to computer science. We describe how to approximate tensor network contraction through bond compression on arbitrary graphs. In particular, we introduce a…

量子物理 · 物理学 2024-01-30 Johnnie Gray , Garnet Kin-Lic Chan

We present "GEMM-like Tensor-Tensor multiplication" (GETT), a novel approach to tensor contractions that mirrors the design of a high-performance general matrix-matrix multiplication (GEMM). The critical insight behind GETT is the…

数学软件 · 计算机科学 2017-11-08 Paul Springer , Paolo Bientinesi

Efficient simulation of quantum circuits has become indispensable with the rapid development of quantum hardware. The primary simulation methods are based on state vectors and tensor networks. As the number of qubits and quantum gates grows…

量子物理 · 物理学 2024-08-13 Feng Pan , Hanfeng Gu , Lvlin Kuang , Bing Liu , Pan Zhang

Infinite projected entangled-pair states (iPEPS) provide a powerful tool for studying strongly correlated systems directly in the thermodynamic limit. A core component of the algorithm is the approximate contraction of the iPEPS, where the…

强关联电子 · 物理学 2026-05-12 Yining Zhang , Qi Yang , Philippe Corboz

Tensor networks and quantum computation are two of the most powerful tools for the simulation of quantum many-body systems. Rather than viewing them as competing approaches, here we consider how these two methods can work in tandem. We…

This paper studies a tensor-structured linear regression model with a scalar response variable and tensor-structured predictors, such that the regression parameters form a tensor of order $d$ (i.e., a $d$-fold multiway array) in…

机器学习 · 计算机科学 2020-11-26 Talal Ahmed , Haroon Raja , Waheed U. Bajwa

Multitask learning (MTL) can utilize the relatedness between multiple tasks for performance improvement. The advent of multimodal data allows tasks to be referenced by multiple indices. High-order tensors are capable of providing efficient…

机器学习 · 计算机科学 2023-08-23 Jiani Liu , Qinghua Tao , Ce Zhu , Yipeng Liu , Johan A. K. Suykens

Tensor regression networks achieve high compression rate of neural networks while having slight impact on performances. They do so by imposing low tensor rank structure on the weight matrices of fully connected layers. In recent years,…

机器学习 · 计算机科学 2018-11-30 Xingwei Cao , Guillaume Rabusseau

A new implementation of many-body calculations is of paramount importance in the field of computational physics. In this study, we leverage the capabilities of Field Programmable Gate Arrays (FPGAs) for conducting quantum many-body…

强关联电子 · 物理学 2025-04-17 Songtai Lv , Yang Liang , Yuchen Meng , Xiaochen Yao , Jincheng Xu , Yang Liu , Qibin Zheng , Haiyuan Zou

Automatic analysis of highly crowded people has attracted extensive attention from computer vision research. Previous approaches for crowd counting have already achieved promising performance across various benchmarks. However, to deal with…

计算机视觉与模式识别 · 计算机科学 2020-02-18 Xiaowen Shi , Xin Li , Caili Wu , Shuchen Kong , Jing Yang , Liang He

Tensor decomposition is an effective approach to compress over-parameterized neural networks and to enable their deployment on resource-constrained hardware platforms. However, directly applying tensor compression in the training process is…

机器学习 · 计算机科学 2019-05-28 Cole Hawkins , Zheng Zhang

Decompositions of tensors into factor matrices, which interact through a core tensor, have found numerous applications in signal processing and machine learning. A more general tensor model which represents data as an ordered network of…

数值分析 · 计算机科学 2016-09-30 Anh-Huy Phan , Andrzej Cichocki , Andre Uschmajew , Petr Tichavsky , George Luta , Danilo Mandic

We proposed the tensor-input tree (TT) method for scalar-on-tensor and tensor-on-tensor regression problems. We first address scalar-on-tensor problem by proposing scalar-output regression tree models whose input variable are tensors (i.e.,…

机器学习 · 计算机科学 2025-07-10 Hengrui Luo , Akira Horiguchi , Li Ma

Classical regression methods treat covariates as a vector and estimate a corresponding vector of regression coefficients. Modern applications in medical imaging generate covariates of more complex form such as multidimensional arrays…

统计方法学 · 统计学 2013-10-22 Hua Zhou , Lexin Li , Hongtu Zhu

In this paper, we investigate the application of quantum and quantum-inspired machine learning algorithms to stock return predictions. Specifically, we evaluate the performance of quantum neural network, an algorithm suited for noisy…

机器学习 · 计算机科学 2024-02-28 Nozomu Kobayashi , Yoshiyuki Suimon , Koichi Miyamoto , Kosuke Mitarai

Multi-channel imaging data is a prevalent data format in scientific fields such as astronomy and biology. The structured information and the high dimensionality of these 3-D tensor data makes the analysis an intriguing but challenging topic…

统计方法学 · 统计学 2023-08-15 Hu Sun , Ward Manchester , Meng Jin , Yang Liu , Yang Chen

We introduce a tensor-based model of shared representation for meta-learning from a diverse set of tasks. Prior works on learning linear representations for meta-learning assume that there is a common shared representation across different…

机器学习 · 计算机科学 2022-01-20 Samuel Deng , Yilin Guo , Daniel Hsu , Debmalya Mandal