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Most research in quantum computing today is performed against simulations of quantum computers rather than true quantum computers. Simulating a quantum computer entails implementing all of the unitary operators corresponding to the quantum…

Quantum Physics · Physics 2021-08-17 Maksim Levental

BERT-enhanced neural machine translation (NMT) aims at leveraging BERT-encoded representations for translation tasks. A recently proposed approach uses attention mechanisms to fuse Transformer's encoder and decoder layers with BERT's…

Computation and Language · Computer Science 2020-11-10 Zhebin Zhang , Sai Wu , Dawei Jiang , Gang Chen

While large language models (LLMs) show great potential in temporal reasoning, most existing work focuses heavily on enhancing performance, often neglecting the explainable reasoning processes underlying the results. To address this gap, we…

Computation and Language · Computer Science 2025-05-22 Zihao Jiang , Ben Liu , Miao Peng , Wenjie Xu , Yao Xiao , Zhenyan Shan , Min Peng

Large language models (LLMs) are dominated by dense linear transformations, whose storage, memory and computational overheads hinder efficient adaptation and deployment while masking the functional impacts of structural simplification. Here…

Computation and Language · Computer Science 2026-05-26 Ying Lu , Peng-Fei Zhou , Qi-Xuan Fang , Pan Zhang , Shi-Ju Ran , Gang Su

General sparse matrix-matrix multiplication (SpGEMM) is an integral part of many scientific computing, high-performance computing (HPC), and graph analytic applications. This paper presents a new compressed sparse vector (CSV) format for…

Performance · Computer Science 2021-12-21 Erfan Bank Tavakoli , Michael Riera , Masudul Hassan Quraishi , Fengbo Ren

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…

Data Structures and Algorithms · Computer Science 2020-07-10 Rezaul Chowdhury , Francesco Silvestri , Flavio Vella

We introduce a method for transforming low-order tensors into higher-order tensors and apply it to tensors defined by graphs and hypergraphs. The transformation proceeds according to a surgery-like procedure that splits vertices, creates…

Combinatorics · Mathematics 2018-06-08 Matthias Christandl , Jeroen Zuiddam

Tensor network contraction is a fundamental mathematical operation that generalizes the dot product and matrix multiplication. It finds applications in numerous domains, such as database systems, graph theory, machine learning, probability…

Data Structures and Algorithms · Computer Science 2026-03-10 Mike Heddes , Igor Nunes , Tony Givargis , Alex Nicolau

The increasing demand for on-device training of deep neural networks (DNNs) aims to leverage personal data for high-performance applications while addressing privacy concerns and reducing communication latency. However, resource-constrained…

Hardware Architecture · Computer Science 2026-03-31 Jinming Lu , Jiayi Tian , Hai Li , Ian Young , Zheng Zhang

Convolutional Neural Networks (CNNs) achieve remarkable accuracy in vision tasks, yet their computational complexity challenges low-power edge deployment. In this work, we present COMET, a framework of CNN models that employ efficient…

Signal Processing · Electrical Eng. & Systems 2026-04-09 Boyang Chen , Mohd Tasleem Khan , George Goussetis , Mathini Sellathurai , Yuan Ding , João F. C. Mota , Jongeun Lee

General Matrix Multiplication (GEMM) is a critical kernel in high-performance computing and deep learning. While modern architectures like ARM's Scalable Matrix Extension (SME) introduce dedicated hardware for matrix operations, existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-29 Chencheng Deng , Weiling Yang , Jianbin Fang , Dezun Dong

Gaussian mixture models (GMMs) are fundamental tools in statistical and data sciences. We study the moments of multivariate Gaussians and GMMs. The $d$-th moment of an $n$-dimensional random variable is a symmetric $d$-way tensor of size…

Machine Learning · Statistics 2022-03-23 João M. Pereira , Joe Kileel , Tamara G. Kolda

Tensor computations are increasingly prevalent numerical techniques in data science, but pose unique challenges for high-performance implementation. We provide novel algorithms and systems infrastructure which enable efficient parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-26 Navjot Singh , Zecheng Zhang , Xiaoxiao Wu , Naijing Zhang , Siyuan Zhang , Edgar Solomonik

Casting neural networks in generative frameworks is a highly sought-after endeavor these days. Contemporary methods, such as Generative Adversarial Networks, capture some of the generative capabilities, but not all. In particular, they lack…

Machine Learning · Computer Science 2018-03-28 Or Sharir , Ronen Tamari , Nadav Cohen , Amnon Shashua

Generative Adversarial Network (GAN) and its variants exhibit state-of-the-art performance in the class of generative models. To capture higher-dimensional distributions, the common learning procedure requires high computational complexity…

Machine Learning · Computer Science 2018-04-02 Xingwei Cao , Xuyang Zhao , Qibin Zhao

Tensor decomposition has been widely used in machine learning and high-volume data analysis. However, large-scale tensor factorization often consumes huge memory and computing cost. Meanwhile, modernized computing hardware such as tensor…

Optimization and Control · Mathematics 2022-09-12 Zi Yang , Junnan Shan , Zheng Zhang

The increasing complexity of transformer models in artificial intelligence expands their computational costs, memory usage, and energy consumption. Hardware acceleration tackles the ensuing challenges by designing processors and…

Hardware Architecture · Computer Science 2023-12-21 Alireza Amirshahi , Giovanni Ansaloni , David Atienza

Tensor operations are surging as the computational building blocks for a variety of scientific simulations and the development of high-performance kernels for such operations is known to be a challenging task. While for operations on one-…

Mathematical Software · Computer Science 2014-10-02 Elmar Peise , Diego Fabregat-Traver , Paolo Bientinesi

The recently proposed BERT has shown great power on a variety of natural language understanding tasks, such as text classification, reading comprehension, etc. However, how to effectively apply BERT to neural machine translation (NMT) lacks…

Computation and Language · Computer Science 2020-02-18 Jinhua Zhu , Yingce Xia , Lijun Wu , Di He , Tao Qin , Wengang Zhou , Houqiang Li , Tie-Yan Liu

General Matrix Multiplication (GEMM) has a wide range of applications in scientific simulation and artificial intelligence. Although traditional libraries can achieve high performance on large regular-shaped GEMMs, they often behave not…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-12 Shangfei Yin , Qinglin Wang , Ruochen Hao , Tianyang Zhou , Songzhu Mei , Jie Liu