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Tensors naturally model many real world processes which generate multi-aspect data. Such processes appear in many different research disciplines, e.g, chemometrics, computer vision, psychometrics and neuroimaging analysis. Tensor…

数据结构与算法 · 计算机科学 2009-09-29 Charalampos E. Tsourakakis

There is currently an unprecedented demand for large-scale temporal data analysis due to the explosive growth of data. Dynamic topic modeling has been widely used in social and data sciences with the goal of learning latent topics that…

This paper introduces an unsupervised framework for detecting audio patterns in musical samples (loops) through anomaly detection techniques, addressing challenges in music information retrieval (MIR). Existing methods are often constrained…

声音 · 计算机科学 2025-06-02 Shayan Dadman , Bernt Arild Bremdal , Børre Bang , Rune Dalmo

Tensor decomposition methods are widely used for model compression and fast inference in convolutional neural networks (CNNs). Although many decompositions are conceivable, only CP decomposition and a few others have been applied in…

机器学习 · 计算机科学 2019-11-28 Kohei Hayashi , Taiki Yamaguchi , Yohei Sugawara , Shin-ichi Maeda

Extracting coherent patterns is one of the standard approaches towards understanding spatio-temporal data. Dynamic mode decomposition (DMD) is a powerful tool for extracting coherent patterns, but the original DMD and most of its variants…

机器学习 · 计算机科学 2021-02-22 Naoya Takeishi , Keisuke Fujii , Koh Takeuchi , Yoshinobu Kawahara

Deep neural networks (DNNs) have enabled impressive breakthroughs in various artificial intelligence (AI) applications recently due to its capability of learning high-level features from big data. However, the current demand of DNNs for…

计算机视觉与模式识别 · 计算机科学 2020-09-22 Bijiao Wu , Dingheng Wang , Guangshe Zhao , Lei Deng , Guoqi Li

A rising problem in the compression of Deep Neural Networks is how to reduce the number of parameters in convolutional kernels and the complexity of these layers by low-rank tensor approximation. Canonical polyadic tensor decomposition…

Most machine learning models for structured data encode the structural knowledge of a node by leveraging simple aggregation functions (in neural models, typically a weighted sum) of the information in the node's neighbourhood. Nevertheless,…

机器学习 · 计算机科学 2020-06-18 Daniele Castellana , Davide Bacciu

We consider $N$-way data arrays and low-rank tensor factorizations where the time mode is coded as a sparse linear combination of temporal elements from an over-complete library. Our method, Shape Constrained Tensor Decomposition (SCTD) is…

机器学习 · 统计学 2016-08-17 Bethany Lusch , Eric C. Chi , J. Nathan Kutz

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

The Tucker decomposition, an extension of singular value decomposition for higher-order tensors, is a useful tool in analysis and compression of large-scale scientific data. While it has been studied extensively for static datasets, there…

数值分析 · 数学 2026-05-26 Saibal De , Zitong Li , Hemanth Kolla , Eric T. Phipps

There is an emerging interest in tensor factorization applications in big-data analytics and machine learning. To speed up the factorization of extra-large datasets, organized in multidimensional arrays (aka tensors), easy to compute…

数值分析 · 数学 2022-03-23 Boian Alexandrov , Derek DeSantis , Gianmarco Manzini , Erik Skau

Tensor completion refers to the task of estimating the missing data from an incomplete measurement or observation, which is a core problem frequently arising from the areas of big data analysis, computer vision, and network engineering. Due…

机器学习 · 计算机科学 2021-05-21 Chenjian Pan , Chen Ling , Hongjin He , Liqun Qi , Yanwei Xu

We propose a completely unsupervised method to understand audio scenes observed with random microphone arrangements by decomposing the scene into its constituent sources and their relative presence in each microphone. To this end, we…

声音 · 计算机科学 2019-09-30 Jonah Casebeer , Michael Colomb , Paris Smaragdis

Many problems in computational neuroscience, neuroinformatics, pattern/image recognition, signal processing and machine learning generate massive amounts of multidimensional data with multiple aspects and high dimensionality. Tensors (i.e.,…

新兴技术 · 计算机科学 2014-08-26 Andrzej Cichocki

Temporal causal representation learning is a powerful tool for uncovering complex patterns in observational studies, which are often represented as low-dimensional time series. However, in many real-world applications, data are…

机器学习 · 计算机科学 2025-07-21 Jianhong Chen , Meng Zhao , Mostafa Reisi Gahrooei , Xubo Yue

Tensor decomposition is a powerful computational tool for multiway data analysis. Many popular tensor decomposition approaches---such as the Tucker decomposition and CANDECOMP/PARAFAC (CP)---amount to multi-linear factorization. They are…

机器学习 · 计算机科学 2012-01-17 Zenglin Xu , Feng Yan , Yuan , Qi

Representing symbolic music with compound tokens, where each token consists of several different sub-tokens representing a distinct musical feature or attribute, offers the advantage of reducing sequence length. While previous research has…

声音 · 计算机科学 2026-03-17 HaeJun Yoo , Hao-Wen Dong , Jongmin Jung , Dasaem Jeong

Tucker decomposition is the cornerstone of modern machine learning on tensorial data analysis, which have attracted considerable attention for multiway feature extraction, compressive sensing, and tensor completion. The most challenging…

机器学习 · 计算机科学 2015-05-12 Qibin Zhao , Liqing Zhang , Andrzej Cichocki

Despite the recent success of deep learning models in numerous applications, their widespread use on mobile devices is seriously impeded by storage and computational requirements. In this paper, we propose a novel network compression method…

计算机视觉与模式识别 · 计算机科学 2019-06-19 Zhisheng Zhong , Fangyin Wei , Zhouchen Lin , Chao Zhang