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Tensors are a fundamental data structure for many scientific contexts, such as time series analysis, materials science, and physics, among many others. Improving our ability to produce and handle tensors is essential to efficiently address…

Machine Learning · Statistics 2026-02-12 Wilson G. Gregory , Josué Tonelli-Cueto , Nicholas F. Marshall , Andrew S. Lee , Soledad Villar

Numerous deep learning architectures have been developed to accommodate the diversity of time series datasets across different domains. In this article, we survey common encoder and decoder designs used in both one-step-ahead and…

Machine Learning · Statistics 2021-04-28 Bryan Lim , Stefan Zohren

To gain insight into the mechanisms behind machine learning methods, it is crucial to establish connections among the features describing data points. However, these correlations often exhibit a high-dimensional and strongly nonlinear…

Machine Learning · Computer Science 2025-03-04 Lorenzo Basile , Santiago Acevedo , Luca Bortolussi , Fabio Anselmi , Alex Rodriguez

This paper proposes a novel deep subspace clustering approach which uses convolutional autoencoders to transform input images into new representations lying on a union of linear subspaces. The first contribution of our work is to insert…

Computer Vision and Pattern Recognition · Computer Science 2020-01-24 Mohsen Kheirandishfard , Fariba Zohrizadeh , Farhad Kamangar

Deep Neural Networks (DNNs) are becoming an important tool in modern computing applications. Accelerating their training is a major challenge and techniques range from distributed algorithms to low-level circuit design. In this survey, we…

Machine Learning · Computer Science 2018-09-18 Tal Ben-Nun , Torsten Hoefler

The past few years have witnessed growth in the computational requirements for training deep convolutional neural networks. Current approaches parallelize training onto multiple devices by applying a single parallelization strategy (e.g.,…

Machine Learning · Computer Science 2018-06-12 Zhihao Jia , Sina Lin , Charles R. Qi , Alex Aiken

Time series analysis has become crucial in various fields, from engineering and finance to healthcare and social sciences. Due to their multidimensional nature, time series often need to be embedded into a fixed-dimensional feature space to…

Machine Learning · Computer Science 2025-05-27 Habib Irani , Yasamin Ghahremani , Arshia Kermani , Vangelis Metsis

Multilinear Discriminant Analysis (MDA) is a powerful dimension reduction method specifically formulated to deal with tensor data. Precisely, the goal of MDA is to find mode-specific projections that optimally separate tensor data from…

Numerical Analysis · Mathematics 2022-03-03 F. Dufrenois , A. El Ichi , K. Jbilou

Tensor networks are a compressed format for multi-dimensional data. One-dimensional tensor networks -- often referred to as tensor trains (TT) or matrix product states (MPS) -- are increasingly being used as a numerical ansatz for continuum…

Quantum Physics · Physics 2025-12-09 Joseph Tindall , E. Miles Stoudenmire , Ryan Levy

This thesis focuses on representation learning for sequence data over time or space, aiming to improve downstream sequence prediction tasks by using the learned representations. Supervised learning has been the most dominant approach for…

Audio and Speech Processing · Electrical Eng. & Systems 2023-08-02 Qingming Tang

Progress in the application of machine learning techniques to the prediction of solid-state and molecular materials properties has been greatly facilitated by the development state-of-the-art feature representations and novel deep learning…

Materials Science · Physics 2022-03-21 David E. Sommer , Scott T. Dunham

Dimensionality reduction techniques play an essential role in data analytics, signal processing and machine learning. Dimensionality reduction is usually performed in a preprocessing stage that is separate from subsequent data analysis,…

Machine Learning · Computer Science 2016-12-21 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos

Deep Learning methods have significantly advanced various data-driven tasks such as regression, classification, and forecasting. However, much of this progress has been predicated on the strong but often unrealistic assumption that training…

Machine Learning · Computer Science 2023-10-12 Josias Moukpe

We propose a framework for the linear prediction of a multi-way array (i.e., a tensor) from another multi-way array of arbitrary dimension, using the contracted tensor product. This framework generalizes several existing approaches,…

Methodology · Statistics 2018-10-18 Eric F. Lock

In domains such as health care and finance, shortage of labeled data and computational resources is a critical issue while developing machine learning algorithms. To address the issue of labeled data scarcity in training and deployment of…

Machine Learning · Computer Science 2018-10-16 Otkrist Gupta , Ramesh Raskar

Deep learning is finding its way into the embedded world with applications such as autonomous driving, smart sensors and aug- mented reality. However, the computation of deep neural networks is demanding in energy, compute power and memory.…

Machine Learning · Computer Science 2018-08-28 Dominik Marek Loroch , Franz-Josef Pfreundt , Norbert Wehn , Janis Keuper

The recently proposed multi-layer sparse model has raised insightful connections between sparse representations and convolutional neural networks (CNN). In its original conception, this model was restricted to a cascade of convolutional…

Image and Video Processing · Electrical Eng. & Systems 2018-07-26 Aviad Aberdam , Jeremias Sulam , Michael Elad

Optimization methods play a central role in signal processing, serving as the mathematical foundation for inference, estimation, and control. While classical iterative optimization algorithms provide interpretability and theoretical…

Machine Learning · Computer Science 2026-04-01 Nir Shlezinger , Santiago Segarra , Yi Zhang , Dvir Avrahami , Zohar Davidov , Tirza Routtenberg , Yonina C. Eldar

Consider a data set collected by (individuals-features) pairs in different times. It can be represented as a tensor of three dimensions (Individuals, features and times). The tensor biclustering problem computes a subset of individuals and…

Machine Learning · Computer Science 2019-03-12 Andriantsiory Dina Faneva , Mustapha Lebbah , Hanane Azzag , Gaël Beck

With the rise of deep learning models in the field of computer vision, new possibilities for their application in industrial processes proves to return great benefits. Nevertheless, the actual fit of machine learning for highly standardised…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Jibinraj Antony , Florian Schlather , Georgij Safronov , Markus Schmitz , Kristof Van Laerhoven
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