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We consider machine learning tasks with low-rank functional tree tensor networks (TTN) as the learning model. While in the case of least-squares regression, low-rank functional TTNs can be efficiently optimized using alternating…

Optimization and Control · Mathematics 2026-04-13 Nikolas Klug , Michael Ulbrich , André Uschmajew , Marius Willner

Federated learning is a distributed machine learning framework which enables different parties to collaboratively train a model while protecting data privacy and security. Due to model complexity, network unreliability and connection…

Machine Learning · Computer Science 2020-04-08 Anbu Huang , Yuanyuan Chen , Yang Liu , Tianjian Chen , Qiang Yang

Deep learning has gained much success in sentence-level relation classification. For example, convolutional neural networks (CNN) have delivered competitive performance without much effort on feature engineering as the conventional…

Computation and Language · Computer Science 2015-12-29 Dongxu Zhang , Dong Wang

Tensor decompositions, which represent an $N$-order tensor using approximately $N$ factors of much smaller dimensions, can significantly reduce the number of parameters. This is particularly beneficial for high-order tensors, as the number…

Machine Learning · Computer Science 2025-06-23 Zhen Qin , Michael B. Wakin , Zhihui Zhu

Recurrent Neural Networks (RNNs) produce state-of-art performance on many machine learning tasks but their demand on resources in terms of memory and computational power are often high. Therefore, there is a great interest in optimizing the…

Neural and Evolutionary Computing · Computer Science 2017-02-28 Joachim Ott , Zhouhan Lin , Ying Zhang , Shih-Chii Liu , Yoshua Bengio

Most of the information is stored as text, so text mining is regarded as having high commercial potential. Aiming at the semantic constraint problem of classification methods based on sparse representation, we propose a weighted recurrent…

Information Retrieval · Computer Science 2019-10-01 Dan Wang , Jibing Gong , Yaxi Song

Classical sequential models employed in time-series prediction rely on learning the mappings from the past to the future instances by way of a hidden state. The Hidden states characterise the historical information and encode the required…

Machine Learning · Computer Science 2023-02-14 Vignesh Gopakumar , Stanislas Pamela , Lorenzo Zanisi

With the increasing demand for interpretability in machine learning, functional ANOVA decomposition has gained renewed attention as a principled tool for breaking down high-dimensional function into low-dimensional components that reveal…

Machine Learning · Statistics 2026-02-23 Seokhun Park , Choeun Kim , Jihu Lee , Yunseop Shin , Insung Kong , Yongdai Kim

In this paper, we introduce a new neural network (NN) structure, multi-mode reservoir computing (Multi-Mode RC). It inherits the dynamic mechanism of RC and processes the forward path and loss optimization of the NN using tensor as the…

Machine Learning · Computer Science 2021-02-19 Zhou Zhou , Lingjia Liu , Jiarui Xu

Recent advances in machine learning have led to a surge in adoption of neural networks for various tasks, but lack of interpretability remains an issue for many others in which an understanding of the features influencing the prediction is…

Because tensor data appear more and more frequently in various scientific researches and real-world applications, analyzing the relationship between tensor features and the univariate outcome becomes an elementary task in many fields. To…

Machine Learning · Computer Science 2019-12-04 Jiaqi Zhang , Beilun Wang

It is challenging to reduce the complexity of neural networks while maintaining their generalization ability and robustness, especially for practical applications. Conventional solutions for this problem incorporate quantum-inspired neural…

Machine Learning · Computer Science 2025-11-13 Andi Chen

Neural networks are fundamental tools of modern machine learning. The standard paradigm assumes binary interactions (across feedforward linear passes) between inter-tangled units, organized in sequential layers. Generalized architectures…

Machine Learning · Computer Science 2026-03-31 Gianluca Peri , Timoteo Carletti , Duccio Fanelli , Diego Febbe

Collaborative filtering (CF) stands as a cornerstone in recommender systems, yet effectively leveraging the massive unlabeled data presents a significant challenge. Current research focuses on addressing the challenge of unlabeled data by…

Information Retrieval · Computer Science 2024-12-25 Yuhan Zhao , Rui Chen , Qilong Han , Hongtao Song , Li Chen

This paper proposes an efficient algorithm (HOLRR) to handle regression tasks where the outputs have a tensor structure. We formulate the regression problem as the minimization of a least square criterion under a multilinear rank…

Machine Learning · Computer Science 2016-02-23 Guillaume Rabusseau , Hachem Kadri

While Convolutional Neural Networks (CNNs) excel at learning complex latent-space representations, their over-parameterization can lead to overfitting and reduced performance, particularly with limited data. This, alongside their high…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Manish Sharma , Jamison Heard , Eli Saber , Panos P. Markopoulos

Convolutional Neural Networks have rapidly become the most successful machine learning algorithm, enabling ubiquitous machine vision and intelligent decisions on even embedded computing-systems. While the underlying arithmetic is…

Hardware Architecture · Computer Science 2018-09-13 Michaela Blott , Thomas Preusser , Nicholas Fraser , Giulio Gambardella , Kenneth O'Brien , Yaman Umuroglu

Implicit neural representations (INRs) have emerged as powerful tools for encoding signals, yet dominant MLP-based designs often suffer from slow convergence, overfitting to noise, and poor extrapolation. We introduce FUTON (Fourier Tensor…

Image and Video Processing · Electrical Eng. & Systems 2026-02-17 Pooya Ashtari , Pourya Behmandpoor , Nikos Deligiannis , Aleksandra Pizurica

In this paper, we present connections between three models used in different research fields: weighted finite automata~(WFA) from formal languages and linguistics, recurrent neural networks used in machine learning, and tensor networks…

Machine Learning · Computer Science 2022-01-10 Tianyu Li , Doina Precup , Guillaume Rabusseau

In tensor completion tasks, the traditional low-rank tensor decomposition models suffer from the laborious model selection problem due to their high model sensitivity. In particular, for tensor ring (TR) decomposition, the number of model…

Machine Learning · Computer Science 2018-12-03 Longhao Yuan , Chao Li , Danilo Mandic , Jianting Cao , Qibin Zhao