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High dimensional data reduction techniques are provided by using partial least squares within deep learning. Our framework provides a nonlinear extension of PLS together with a disciplined approach to feature selection and architecture…

Methodology · Statistics 2021-06-29 Nicholas Polson , Vadim Sokolov , Jianeng Xu

Partial least squares, as a dimension reduction method, has become increasingly important for its ability to deal with problems with a large number of variables. Since noisy variables may weaken the performance of the model, the sparse…

Methodology · Statistics 2020-06-08 Weijuan Liang , Shuangge Ma , Qingzhao Zhang , Tingyu Zhu

Partial Least Squares (PLS) is a widely used method for data integration, designed to extract latent components shared across paired high-dimensional datasets. Despite decades of practical success, a precise theoretical understanding of its…

Machine Learning · Statistics 2025-12-18 Victor Léger , Florent Chatelain

Sparse Partial Least Squares (sPLS) is a common dimensionality reduction technique for data fusion, which projects data samples from two views by seeking linear combinations with a small number of variables with the maximum variance.…

Machine Learning · Computer Science 2023-08-15 Wenwen Min , Taosheng Xu , Chris Ding

Image smoothing is by reducing pixel-wise gradients to smooth out details. As existing methods always rely on gradients to determine smoothing manners, it is difficult to distinguish structures and details to handle distinctively due to the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Shengchun Wang , Wencheng Wang , Fei Hou

Motivated by renal imaging studies that combine renogram curves with pharmacokinetic and demographic covariates, we propose Hybrid partial least squares (Hybrid PLS) for simultaneous supervised dimension reduction and regression in the…

Methodology · Statistics 2026-01-26 Jongmin Mun , Jeong Hoon Jang

We introduce the implicitly constrained least squares (ICLS) classifier, a novel semi-supervised version of the least squares classifier. This classifier minimizes the squared loss on the labeled data among the set of parameters implied by…

Machine Learning · Statistics 2017-01-31 Jesse H. Krijthe , Marco Loog

Partial least squares regression---or PLS---is a multivariate method in which models are estimated using either the SIMPLS or NIPALS algorithm. PLS regression has been extensively used in applied research because of its effectiveness in…

Partial Least Square (PLS) is a dimension reduction method used to remove multicollinearities in a regression model. However contrary to Principal Components Analysis (PCA) the PLS components are also choosen to be optimal for predicting…

Statistics Theory · Mathematics 2014-05-26 Mélanie Blazère , Fabrice Gamboa , Jean-Michel Loubes

We revisit the problem of fair representation learning by proposing Fair Partial Least Squares (PLS) components. PLS is widely used in statistics to efficiently reduce the dimension of the data by providing representation tailored for the…

Machine Learning · Computer Science 2025-02-25 Elena M. De-Diego , Adrián Perez-Suay , Paula Gordaliza , Jean-Michel Loubes

We introduce a novel semi-supervised version of the least squares classifier. This implicitly constrained least squares (ICLS) classifier minimizes the squared loss on the labeled data among the set of parameters implied by all possible…

Machine Learning · Statistics 2015-07-27 Jesse H. Krijthe , Marco Loog

With massive high-dimensional data now commonplace in research and industry, there is a strong and growing demand for more scalable computational techniques for data analysis and knowledge discovery. Key to turning these data into knowledge…

Data Structures and Algorithms · Computer Science 2016-06-17 Yasuo Tabei , Hiroto Saigo , Yoshihiro Yamanishi , Simon J. Puglisi

Large vision-language models (VLMs) often benefit from intermediate visual cues, either injected via external tools or generated as latent visual tokens during reasoning, but these mechanisms still overlook fine-grained visual evidence…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Shuoshuo Zhang , Yizhen Zhang , Jingjing Fu , Lei Song , Jiang Bian , Yujiu Yang , Rui Wang

With a rapid increase in volume and complexity of data sets, there is a need for methods that can extract useful information, for example the relationship between two data sets measured for the same persons. The Partial Least Squares (PLS)…

Edge-preserving image smoothing is a fundamental procedure for many computer vision and graphic applications. There is a tradeoff between the smoothing quality and the processing speed: the high smoothing quality usually requires a high…

Graphics · Computer Science 2020-05-19 Wei Liu , Pingping Zhang , Xiaolin Huang , Jie Yang , Chunhua Shen , Ian Reid

High-dimensional data common in genomics, proteomics, and chemometrics often contains complicated correlation structures. Recently, partial least squares (PLS) and Sparse PLS methods have gained attention in these areas as dimension…

Machine Learning · Statistics 2012-04-19 Genevera I. Allen , Christine Peterson , Marina Vannucci , Mirjana Maletic-Savatic

Aiming at improving performance of visual classification in a cost-effective manner, this paper proposes an incremental semi-supervised learning paradigm called Deep Co-Space (DCS). Unlike many conventional semi-supervised learning methods…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Ziliang Chen , Keze Wang , Xiao Wang , Pai Peng , Ebroul Izquierdo , Liang Lin

Most dimensionality reduction methods employ frequency domain representations obtained from matrix diagonalization and may not be efficient for large datasets with relatively high intrinsic dimensions. To address this challenge, Correlated…

Machine Learning · Statistics 2022-06-10 Yuta Hozumi , Rui Wang , Guo-Wei Wei

Relating a set of variables X to a response y is crucial in chemometrics. A quantitative prediction objective can be enriched by qualitative data interpretation, for instance by locating the most influential features. When high-dimensional…

Machine Learning · Statistics 2023-04-21 Louna Alsouki , Laurent Duval , Clément Marteau , Rami El Haddad , François Wahl

Modern pattern recognition methods are based on convolutional networks since they are able to learn complex patterns that benefit the classification. However, convolutional networks are computationally expensive and require a considerable…

Computer Vision and Pattern Recognition · Computer Science 2019-09-20 Artur Jordao , Ricardo Kloss , Fernando Yamada , William Robson Schwartz
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