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Subsampling algorithms for various parametric regression models with massive data have been extensively investigated in recent years. However, all existing studies on subsampling heavily rely on clean massive data. In practical…

Statistics Theory · Mathematics 2025-06-11 Jiangshan Ju , Mingqiu Wang , Shengli Zhao

In this paper we explore several approaches for sampling weight vectors in the context of weighted sum scalarisation approaches for solving multi-criteria decision making (MCDM) problems. This established method converts a multi-objective…

Optimization and Control · Mathematics 2025-04-18 Aled Williams , Yilun Cai

The classical Canonical Correlation Analysis (CCA) identifies the correlations between two sets of multivariate variables based on their covariance, which has been widely applied in diverse fields such as computer vision, natural language…

Optimization and Control · Mathematics 2024-01-02 Yongchun Li , Santanu S. Dey , Weijun Xie

Markov Chain Monte Carlo (MCMC) algorithms are frequently used to perform inference under a Bayesian modeling framework. Convergence diagnostics, such as traceplots, the Gelman-Rubin potential scale reduction factor, and effective sample…

Multivariate binary data is becoming abundant in current biological research. Logistic principal component analysis (PCA) is one of the commonly used tools to explore the relationships inside a multivariate binary data set by exploiting the…

Methodology · Statistics 2020-10-15 Yipeng Song , Johan A. Westerhuis , Age K. Smilde

High dimensional data and systems with many degrees of freedom are often characterized by covariance matrices. In this paper, we consider the problem of simultaneously estimating the dimension of the principal (dominant) subspace of these…

Numerical Analysis · Computer Science 2018-10-10 Shashanka Ubaru , Abd-Krim Seghouane , Yousef Saad

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

Methodology · Statistics 2025-08-22 Zhongyuan Lyu , Ming Yuan

The multi-scale entanglement renormalization ansatz (MERA) provides a natural description of the ground state of a quantum critical Hamiltonian on the lattice. From an optimized MERA, one can extract the scaling dimensions of the underlying…

Strongly Correlated Electrons · Physics 2022-12-14 Javier Argüello-Luengo , Ashley Milsted , Guifre Vidal

Ex-post harmonisation is one of many data preprocessing processes used to combine the increasingly vast and diverse sources of data available for research and analysis. Documenting provenance and ensuring the quality of multi-source…

Databases · Computer Science 2024-06-21 Cynthia A. Huang

In this paper we address the problem of matching sets of vectors embedded in the same input space. We propose an approach which is motivated by canonical correlation analysis (CCA), a statistical technique which has proven successful in a…

Computer Vision and Pattern Recognition · Computer Science 2013-06-11 Ognjen Arandjelovic

We consider the problem of recovering a single or multiple frequency-sparse signals, which share the same frequency components, from a subset of regularly spaced samples. The problem is referred to as continuous compressed sensing (CCS) in…

Information Theory · Computer Science 2014-10-24 Zai Yang , Lihua Xie

Monte Carlo rendering algorithms often utilize correlations between pixels to improve efficiency and enhance image quality. For real-time applications in particular, repeated reservoir resampling offers a powerful framework to reuse samples…

Graphics · Computer Science 2022-11-02 Rohan Sawhney , Daqi Lin , Markus Kettunen , Benedikt Bitterli , Ravi Ramamoorthi , Chris Wyman , Matt Pharr

Previous matching component analysis (MCA) techniques map two data domains to a common domain for further processing in data fusion and transfer learning contexts. In this paper, we extend these techniques to the star-graph multimodal (SGM)…

Machine Learning · Computer Science 2022-10-07 Nick Lorenzo

This paper studies cross-domain lossy compression through the lens of minimum entropy coupling (MEC) with rate and classification constraints. In this setting, an encoder observes samples from a degraded source domain, while the decoder is…

Information Theory · Computer Science 2026-05-12 Nam Nguyen , Hassan Tavakoli , An Vuong , Thinh Nguyen , Bella Bose

We propose a parallel version of the cross interpolation algorithm and apply it to calculate high-dimensional integrals motivated by Ising model in quantum physics. In contrast to mainstream approaches, such as Monte Carlo and quasi Monte…

Numerical Analysis · Mathematics 2019-08-27 Sergey Dolgov , Dmitry Savostyanov

Multi-view clustering has gained broad attention owing to its capacity to exploit complementary information across multiple data views. Although existing methods demonstrate delightful clustering performance, most of them are of high time…

Machine Learning · Computer Science 2023-03-06 Xinhang Wan , Xinwang Liu , Jiyuan Liu , Siwei Wang , Yi Wen , Weixuan Liang , En Zhu , Zhe Liu , Lu Zhou

A new class of Markov chain Monte Carlo (MCMC) algorithms, based on simulating piecewise deterministic Markov processes (PDMPs), have recently shown great promise: they are non-reversible, can mix better than standard MCMC algorithms, and…

Computation · Statistics 2020-10-23 Augustin Chevallier , Paul Fearnhead , Matthew Sutton

In practical applications of regression analysis, it is not uncommon to encounter a multitude of values for each attribute. In such a situation, the univariate distribution, which is typically Gaussian, is suboptimal because the mean may be…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Krzysztof Byrski , Jacek Tabor , Przemysław Spurek , Marcin Mazur

Principal component analysis (PCA) aims at estimating the direction of maximal variability of a high-dimensional dataset. A natural question is: does this task become easier, and estimation more accurate, when we exploit additional…

Information Theory · Computer Science 2014-06-19 Andrea Montanari , Emile Richard

Template matching by normalized cross correlation (NCC) is widely used for finding image correspondences. We improve the robustness of this algorithm by preprocessing images with "siamese" convolutional networks trained to maximize the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-25 Davit Buniatyan , Thomas Macrina , Dodam Ih , Jonathan Zung , H. Sebastian Seung