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Tensor networks and quantum computation are two of the most powerful tools for the simulation of quantum many-body systems. Rather than viewing them as competing approaches, here we consider how these two methods can work in tandem. We…

A tensor network is a type of decomposition used to express and approximate large arrays of data. A given data-set, quantum state or higher dimensional multi-linear map is factored and approximated by a composition of smaller multi-linear…

Quantum Physics · Physics 2022-07-08 Richik Sengupta , Soumik Adhikary , Ivan Oseledets , Jacob Biamonte

Non-negative Matrix Factorization (NMF) is one of the most popular techniques for data representation and clustering, and has been widely used in machine learning and data analysis. NMF concentrates the features of each sample into a…

Image and Video Processing · Electrical Eng. & Systems 2021-03-26 Mulin Chen , Maoguo Gong , Xuelong Li

Convolutional neural networks show outstanding results in a variety of computer vision tasks. However, a neural network architecture design usually faces a trade-off between model performance and computational/memory complexity. For some…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Pavel Kaloshin

The state-of-the-art deep neural networks (DNNs) have been widely applied for various real-world applications, and achieved significant performance for cognitive problems. However, the increment of DNNs' width and depth in architecture…

Machine Learning · Computer Science 2021-11-15 Xiao Peng Li , Qi Liu , Hing Cheung So

In order to achieve the dual goals of privacy and learning across distributed data, Federated Learning (FL) systems rely on frequent exchanges of large files (model updates) between a set of clients and the server. As such FL systems are…

Machine Learning · Computer Science 2023-01-12 Parikshit Hegde , Gustavo de Veciana , Aryan Mokhtari

In this article, a Probability Mass Function (PMF) estimation method which tames the curse of dimensionality is proposed. This method, called Partial Coupled Tensor Factorization of 3D marginals or PCTF3D, has for principle to partially…

Signal Processing · Electrical Eng. & Systems 2025-09-08 Philippe Flores , Konstantin Usevich , David Brie

We propose a novel technique for faster deep neural network training which systematically applies sample-based approximation to the constituent tensor operations, i.e., matrix multiplications and convolutions. We introduce new sampling…

Machine Learning · Computer Science 2021-10-27 Menachem Adelman , Kfir Y. Levy , Ido Hakimi , Mark Silberstein

Tensor factorization has proven useful in a wide range of applications, from sensor array processing to communications, speech and audio signal processing, and machine learning. With few recent exceptions, all tensor factorization…

Numerical Analysis · Computer Science 2015-10-28 Athanasios P. Liavas , Nicholas D. Sidiropoulos

Tensorizing a neural network involves reshaping some or all of its dense weight matrices into higher-order tensors and approximating them using low-rank tensor network decompositions. This technique has shown promise as a model compression…

Machine Learning · Computer Science 2025-05-27 Safa Hamreras , Sukhbinder Singh , Román Orús

Federated Learning (FL) is an emerging paradigm that allows a model to be trained across a number of participants without sharing data. Recent works have begun to consider the effects of using pre-trained models as an initialization point…

Machine Learning · Computer Science 2023-11-07 Gwen Legate , Nicolas Bernier , Lucas Caccia , Edouard Oyallon , Eugene Belilovsky

We address prediction problems on tabular categorical data, where each instance is defined by multiple categorical attributes, each taking values from a finite set. These attributes are often referred to as fields, and their categorical…

Advanced tensor decomposition, such as Tensor train (TT) and Tensor ring (TR), has been widely studied for deep neural network (DNN) model compression, especially for recurrent neural networks (RNNs). However, compressing convolutional…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Miao Yin , Yang Sui , Siyu Liao , Bo Yuan

Tensors offer a natural representation for many kinds of data frequently encountered in machine learning. Images, for example, are naturally represented as third order tensors, where the modes correspond to height, width, and channels.…

Machine Learning · Computer Science 2017-06-05 Jean Kossaifi , Aran Khanna , Zachary C. Lipton , Tommaso Furlanello , Anima Anandkumar

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Representation learning on static graph-structured data has shown a significant impact on many real-world applications. However, less attention has been paid to the evolving nature of temporal networks, in which the edges are often changing…

Machine Learning · Computer Science 2021-08-24 Jing Ma , Qiuchen Zhang , Jian Lou , Li Xiong , Joyce C. Ho

How can we correlate neural activity in the human brain as it responds to words, with behavioral data expressed as answers to questions about these same words? In short, we want to find latent variables, that explain both the brain…

Feature selection by maximizing high-order mutual information between the selected feature vector and a target variable is the gold standard in terms of selecting the best subset of relevant features that maximizes the performance of…

Machine Learning · Computer Science 2022-10-19 Magda Amiridi , Nikos Kargas , Nicholas D. Sidiropoulos

The Forward-Forward (FF) learning algorithm provides a bottom-up alternative to backpropagation (BP) for training neural networks, relying on a layer-wise "goodness" function with well-designed negative samples for contrastive learning.…

Machine Learning · Computer Science 2025-11-11 Zhichao Zhu , Yang Qi , Hengyuan Ma , Wenlian Lu , Jianfeng Feng

Participation factors (PFs) quantify the interaction between system modes and state variables, and they play a crucial role in various applications such as modal analysis, model reduction, and control design. With increasing system…

Systems and Control · Electrical Eng. & Systems 2025-09-12 Mahsa Sajjadi , Kaiyang Huang , Kai Sun
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