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Tensor data with rich structural information becomes increasingly important in process modeling, monitoring, and diagnosis. Here structural information is referred to structural properties such as sparsity, smoothness, low-rank, and…

Machine Learning · Statistics 2024-10-30 Shancong Mou , Andi Wang , Chuck Zhang , Jianjun Shi

Canonical Polyadic (CP) tensor decomposition is a fundamental technique for analyzing high-dimensional tensor data. While the Alternating Least Squares (ALS) algorithm is widely used for computing CP decomposition due to its simplicity and…

Methodology · Statistics 2025-05-30 Runshi Tang , Julien Chhor , Olga Klopp , Anru R. Zhang

Tensor-valued data benefits greatly from dimension reduction as the reduction in size is exponential in the number of modes. To achieve maximal reduction without loss in information, our objective in this work is to give an automated…

Methodology · Statistics 2022-07-22 Una Radojicic , Niko Lietzen , Klaus Nordhausen , Joni Virta

This paper investigates the use of unsupervised text-to-speech synthesis (TTS) as a data augmentation method to improve accented speech recognition. TTS systems are trained with a small amount of accented speech training data and their…

Computation and Language · Computer Science 2024-07-08 Cong-Thanh Do , Shuhei Imai , Rama Doddipatla , Thomas Hain

We introduce tensor Interpolative Decomposition (tensor ID) for the reduction of the separation rank of Canonical Tensor Decompositions (CTDs). Tensor ID selects, for a user-defined accuracy \epsilon, a near optimal subset of terms of a CTD…

Numerical Analysis · Mathematics 2013-12-18 David J. Biagioni , Daniel Beylkin , Gregory Beylkin

Self-supervised learning (SSL) has emerged as a promising alternative to create supervisory signals to real-world problems, avoiding the extensive cost of manual labeling. SSL is particularly attractive for unsupervised tasks such as…

Machine Learning · Computer Science 2023-07-31 Jaemin Yoo , Tiancheng Zhao , Leman Akoglu

Tensor decomposition methods are popular tools for analysis of multi-way datasets from social media, healthcare, spatio-temporal domains, and others. Widely adopted models such as Tucker and canonical polyadic decomposition (CPD) follow a…

Machine Learning · Computer Science 2023-09-19 Maxwell McNeil , Petko Bogdanov

The recently proposed fully-connected tensor network (FCTN) decomposition has demonstrated significant advantages in correlation characterization and transpositional invariance, and has achieved notable achievements in multi-dimensional…

Machine Learning · Computer Science 2026-02-16 Wenjin Qin , Hailin Wang , Jiangjun Peng , Jianjun Wang , Tingwen Huang

Recently, Transformers have gained significant popularity in image restoration tasks such as image super-resolution and denoising, owing to their superior performance. However, balancing performance and computational burden remains a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Leheng Zhang , Wei Long , Yawei Li , Xingyu Zhou , Xiaorui Zhao , Shuhang Gu

Contrastive learning enables learning useful audio and speech representations without ground-truth labels by maximizing the similarity between latent representations of similar signal segments. In this framework various data augmentation…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-11 Salah Zaiem , Titouan Parcollet , Slim Essid

This paper proposes a supervised dimension reduction methodology for tensor data which has two advantages over most image-based prognostic models. First, the model does not require tensor data to be complete which expands its application to…

Machine Learning · Computer Science 2023-06-06 Chengyu Zhou , Xiaolei Fang

Anomaly detection (AD) is increasingly recognized as a key component for ensuring the resilience of future communication systems. While deep learning has shown state-of-the-art AD performance, its application in critical systems is hindered…

Machine Learning · Computer Science 2025-10-29 Lukas Schynol , Marius Pesavento

In recent years, the application of tensors has become more widespread in fields that involve data analytics and numerical computation. Due to the explosive growth of data, low-rank tensor decompositions have become a powerful tool to…

Numerical Analysis · Mathematics 2020-11-03 Lingjie Li , Wenjian Yu , Kim Batselier

Coupled tensor decomposition reveals the joint data structure by incorporating priori knowledge that come from the latent coupled factors. The tensor ring (TR) decomposition is invariant under the permutation of tensors with different mode…

Machine Learning · Computer Science 2020-11-10 Huyan Huang , Yipeng Liu , Ce Zhu

Given a time-evolving tensor with missing entries, how can we effectively factorize it for precisely predicting the missing entries? Tensor factorization has been extensively utilized for analyzing various multi-dimensional real-world data.…

Machine Learning · Computer Science 2020-12-17 Dawon Ahn , Jun-Gi Jang , U Kang

Data augmentation is widely used in text classification, especially in the low-resource regime where a few examples for each class are available during training. Despite the success, generating data augmentations as hard positive examples…

Computation and Language · Computer Science 2023-08-10 Junfan Chen , Richong Zhang , Zheyan Luo , Chunming Hu , Yongyi Mao

Multi-view subspace clustering methods have employed learned self-representation tensors from different tensor decompositions to exploit low rank information. However, the data structures embedded with self-representation tensors may vary…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Yipeng Liu , Yingcong Lu , Weiting Ou , Zhen Long , Ce Zhu

Continuous efforts are being made to advance anomaly detection in various manufacturing processes to increase the productivity and safety of industrial sites. Deep learning replaced rule-based methods and recently emerged as a promising…

Machine Learning · Computer Science 2024-06-28 Kukjin Choi , Jihun Yi , Jisoo Mok , Sungroh Yoon

Dynamic mode decomposition (DMD) has become a powerful data-driven method for analyzing the spatiotemporal dynamics of complex, high-dimensional systems. However, conventional DMD methods are limited to matrix-based formulations, which…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Ziqin He , Mengqi Hu , Yifei Lou , Can Chen

Tensor train (TT) decomposition, a powerful tool for analyzing multidimensional data, exhibits superior performance in many machine learning tasks. However, existing methods for TT decomposition either suffer from noise overfitting, or…

Signal Processing · Electrical Eng. & Systems 2023-06-27 Le Xu , Lei Cheng , Ngai Wong , Yik-Chung Wu
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