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An increasing number of data science and machine learning problems rely on computation with tensors, which better capture the multi-way relationships and interactions of data than matrices. When tapping into this critical advantage, a key…

Machine Learning · Statistics 2023-02-23 Harry Dong , Tian Tong , Cong Ma , Yuejie Chi

Deep neural networks (DNNs) are the de facto standard for essential use cases, such as image classification, computer vision, and natural language processing. As DNNs and datasets get larger, they require distributed training on…

Machine Learning · Computer Science 2024-03-07 Minghao Li , Ran Ben Basat , Shay Vargaftik , ChonLam Lao , Kevin Xu , Michael Mitzenmacher , Minlan Yu

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

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…

Numerical Analysis · Computer Science 2016-09-30 Anh-Huy Phan , Andrzej Cichocki , Andre Uschmajew , Petr Tichavsky , George Luta , Danilo Mandic

Scientific problems require resolving multi-scale phenomena across different resolutions and learning solution operators in infinite-dimensional function spaces. Neural operators provide a powerful framework for this, using…

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

Deep learning (DL) has recently achieved tremendous success in a variety of cutting-edge applications, e.g., image recognition, speech and natural language processing, and autonomous driving. Besides the available big data and hardware…

Machine Learning · Computer Science 2018-11-18 Qianyu Guo , Xiaofei Xie , Lei Ma , Qiang Hu , Ruitao Feng , Li Li , Yang Liu , Jianjun Zhao , Xiaohong Li

Automated machine learning aims to automate the whole process of machine learning, including model configuration. In this paper, we focus on automated hyperparameter optimization (HPO) based on sequential model-based optimization (SMBO).…

Machine Learning · Computer Science 2019-09-11 Ying Wei , Peilin Zhao , Huaxiu Yao , Junzhou Huang

Recently, there has been an explosion in statistical learning literature to represent data using topological principles to capture structure and relationships. We propose a topological data analysis (TDA)-based framework, named Topological…

Machine Learning · Statistics 2025-11-10 Jordan Eckert , Elvan Ceyhan , Henry Schenck

We present TTC, an open-source parallel compiler for multidimensional tensor transpositions. In order to generate high-performance C++ code, TTC explores a number of optimizations, including software prefetching, blocking, loop-reordering,…

Mathematical Software · Computer Science 2016-03-09 Paul Springer , Jeff R. Hammond , Paolo Bientinesi

There is a growing demand to deploy computation-intensive deep learning (DL) models on resource-constrained mobile devices for real-time intelligent applications. Equipped with a variety of processing units such as CPUs, GPUs, and NPUs, the…

Machine Learning · Computer Science 2024-05-06 Sicong Liu , Wentao Zhou , Zimu Zhou , Bin Guo , Minfan Wang , Cheng Fang , Zheng Lin , Zhiwen Yu

The prevalent fully-connected tensor network (FCTN) has achieved excellent success to compress data. However, the FCTN decomposition suffers from slow computational speed when facing higher-order and large-scale data. Naturally, there…

Machine Learning · Computer Science 2022-10-20 Peilin Yang , Weijun Sun , Qibin Zhao , Guoxu Zhou

Event prediction in the continuous-time domain is a crucial but rather difficult task. Temporal point process (TPP) learning models have shown great advantages in this area. Existing models mainly focus on encoding global contexts of events…

Machine Learning · Computer Science 2023-06-27 Wang-Tao Zhou , Zhao Kang , Ling Tian , Yi Su

Recently, introducing Tensor Decomposition (TD) techniques into unsupervised feature selection (UFS) has been an emerging research topic. A tensor structure is beneficial for mining the relations between different modes and helps relieve…

Machine Learning · Computer Science 2025-07-04 Junjing Zheng , Xinyu Zhang , Weidong Jiang , Xiangfeng Qiu , Mingjian Ren

This article provides next step towards solving speed bottleneck of any system that intensively uses convolutions operations (e.g. CNN). Method described in the article is applied on deformable part models (DPM) algorithm. Method described…

Computer Vision and Pattern Recognition · Computer Science 2017-07-12 D. V. Parkhomenko , I. L. Mazurenko

Locally Purified Density Operators (LPDOs) are state-of-the-art tensor network ansatze candidates that efficiently represent mixed quantum states at scale. However, given their non-uniqueness, their representational complexity is generally…

Quantum Physics · Physics 2025-12-10 Amit Jamadagni , Eugene Dumitrescu

The accuracy and complexity of machine learning algorithms based on kernel optimization are limited by the set of kernels over which they are able to optimize. An ideal set of kernels should: admit a linear parameterization (for…

Machine Learning · Computer Science 2020-06-16 Brendon K. Colbert , Matthew M. Peet

Tensor computation has emerged as a powerful mathematical tool for solving high-dimensional and/or extreme-scale problems in science and engineering. The last decade has witnessed tremendous advancement of tensor computation and its…

Signal Processing · Electrical Eng. & Systems 2019-07-05 Kaiqi Zhang , Xiyuan Zhang , Zheng Zhang

Training deep learning models is a repetitive and resource-intensive process. Data scientists often train several models before landing on a set of parameters (e.g., hyper-parameter tuning) and model architecture (e.g., neural architecture…

Machine Learning · Computer Science 2025-08-04 Ties Robroek , Neil Kim Nielsen , Pınar Tözün

The transition kernel of a continuous-state-action Markov decision process (MDP) admits a natural tensor structure. This paper proposes a tensor-inspired unsupervised learning method to identify meaningful low-dimensional state and action…

Machine Learning · Statistics 2023-02-21 Chengzhuo Ni , Yaqi Duan , Munther Dahleh , Anru Zhang , Mengdi Wang
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