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In this paper, we present an overview of constrained PARAFAC models where the constraints model linear dependencies among columns of the factor matrices of the tensor decomposition, or alternatively, the pattern of interactions between…

Numerical Analysis · Computer Science 2015-06-19 Gérard Favier , André L. F. de Almeida

An increasing number of emerging applications in data science and engineering are based on multidimensional and structurally rich data. The irregularities, however, of high-dimensional data often compromise the effectiveness of standard…

Counterfactual explanations have substantially increased in popularity in the past few years as a useful human-centric way of understanding individual black-box model predictions. While several properties desired of high-quality…

Machine Learning · Computer Science 2022-10-14 Shubham Sharma , Alan H. Gee , Jette Henderson , Joydeep Ghosh

Counterfactual reasoning is an important paradigm applicable in many fields, such as healthcare, economics, and education. In this work, we propose a novel method to address the issue of \textit{selection bias}. We learn two groups of…

Machine Learning · Computer Science 2019-12-20 Zichen Zhang , Qingfeng Lan , Lei Ding , Yue Wang , Negar Hassanpour , Russell Greiner

Efficient and interpretable spatial analysis is crucial in many fields such as geology, sports, and climate science. Tensor latent factor models can describe higher-order correlations for spatial data. However, they are computationally…

Machine Learning · Computer Science 2020-08-18 Jung Yeon Park , Kenneth Theo Carr , Stephan Zheng , Yisong Yue , Rose Yu

MicroRNAs (miRNAs) play crucial roles in multifarious biological processes associated with human diseases. Identifying potential miRNA-disease associations contributes to understanding the molecular mechanisms of miRNA-related diseases.…

Machine Learning · Computer Science 2021-08-31 Feng Huang , Xiang Yue , Zhankun Xiong , Zhouxin Yu , Wen Zhang

The performance of a cross-sectional currency strategy depends crucially on accurately ranking instruments prior to portfolio construction. While this ranking step is traditionally performed using heuristics, or by sorting the outputs…

Portfolio Management · Quantitative Finance 2022-01-31 Daniel Poh , Bryan Lim , Stefan Zohren , Stephen Roberts

Existing low-rank tensor completion (LRTC) approaches aim at restoring a partially observed tensor by imposing a global low-rank constraint on the underlying completed tensor. However, such a global rank assumption suffers the trade-off…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Rui Lin , Cong Chen , Ngai Wong

K-FAC is a successful tractable implementation of Natural Gradient for Deep Learning, which nevertheless suffers from the requirement to compute the inverse of the Kronecker factors (through an eigen-decomposition). This can be very…

Machine Learning · Computer Science 2022-11-28 Constantin Octavian Puiu

Conformal prediction has been a very popular method of distribution-free predictive inference in recent years in machine learning and statistics. Its popularity stems from the fact that it works as a wrapper around any prediction algorithm…

Methodology · Statistics 2021-06-07 Arun Kumar Kuchibhotla

In an open, constantly changing and collaborative environment like the forthcoming Semantic Web, it is reasonable to expect that knowledge sources will contain noise and inaccuracies. It is well known, as the logical foundation of the…

Artificial Intelligence · Computer Science 2013-01-11 Xiaowang Zhang , Guohui Xiao , Zuoquan Lin

Explainable Artificial Intelligence (XAI) is increasingly essential as AI systems are deployed in critical fields such as healthcare and finance, offering transparency into AI-driven decisions. Two major XAI paradigms, counterfactual…

Machine Learning · Computer Science 2026-03-17 Jacob Sanderson , Hua Mao , Wai Lok Woo

For tensor decompositions such as HOSVD and ParaFac, the objective functions are nonconvex. This implies, theoretically, there exists a large number of local optimas: starting from different starting point, the iteratively improved solution…

Computer Vision and Pattern Recognition · Computer Science 2009-09-30 Dijun Luo , Heng Huang , Chris Ding

The tensor train decomposition decomposes a tensor into a "train" of 3-way tensors that are interconnected through the summation of auxiliary indices. The decomposition is stable, has a well-defined notion of rank and enables the user to…

Numerical Analysis · Computer Science 2018-11-12 Kim Batselier

Fourier PCA is Principal Component Analysis of a matrix obtained from higher order derivatives of the logarithm of the Fourier transform of a distribution.We make this method algorithmic by developing a tensor decomposition method for a…

Machine Learning · Computer Science 2014-07-01 Navin Goyal , Santosh Vempala , Ying Xiao

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

Interpretability is a pressing issue for decision systems. Many post hoc methods have been proposed to explain the predictions of a single machine learning model. However, business processes and decision systems are rarely centered around a…

Machine Learning · Computer Science 2023-03-22 Gianluigi Lopardo , Damien Garreau , Frederic Precioso , Greger Ottosson

Everyday life is increasingly influenced by artificial intelligence, and there is no question that machine learning algorithms must be designed to be reliable and trustworthy for everyone. Specifically, computer scientists consider an…

Machine Learning · Computer Science 2025-10-29 Sara Narteni , Alberto Carlevaro , Fabrizio Dabbene , Marco Muselli , Maurizio Mongelli

Tensors decompositions are a class of tools for analysing datasets of high dimensionality and variety in a natural manner, with the Canonical Polyadic Decomposition (CPD) being a main pillar. While the notion of CPD is closely intertwined…

Signal Processing · Electrical Eng. & Systems 2019-11-15 Giuseppe G. Calvi , Bruno Scalzo Dees , Danilo P. Mandic

Machine learning can accelerate materials discovery. Models perform impressively on many benchmarks. However, strong benchmark performance does not imply that a model learned chemistry. I test a concrete alternative hypothesis: that…

Chemical Physics · Physics 2026-02-23 Kevin Maik Jablonka
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