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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…

数值分析 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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.…

机器学习 · 计算机科学 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…

投资组合管理 · 定量金融 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

统计方法学 · 统计学 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…

人工智能 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

数值分析 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

信号处理 · 电气工程与系统科学 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…

化学物理 · 物理学 2026-02-23 Kevin Maik Jablonka
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