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Canonical Correlation Analysis (CCA) is a method for feature extraction of two views by finding maximally correlated linear projections of them. Several variants of CCA have been introduced in the literature, in particular, variants based…

Machine Learning · Computer Science 2022-03-25 Tomer Friedlander , Lior Wolf

Many machine learning algorithms require precise estimates of covariance matrices. The sample covariance matrix performs poorly in high-dimensional settings, which has stimulated the development of alternative methods, the majority based on…

Machine Learning · Statistics 2016-11-04 Daniel Bartz

Model merging combines multiple fine-tuned models into a single model by adding their weight updates, providing a lightweight alternative to retraining. Existing methods primarily target resolving conflicts between task updates, leaving the…

Machine Learning · Computer Science 2026-05-22 Yayuan Li , Ze Peng , Jian Zhang , Jintao Guo , Yue Duan , Yinghuan Shi

Despite the remarkable results that can be achieved by data-driven intelligent fault diagnosis techniques, they presuppose the same distribution of training and test data as well as sufficient labeled data. Various operating states often…

Machine Learning · Computer Science 2023-11-27 Zixuan Wang , Haoran Tang , Haibo Wang , Bo Qin , Mark D. Butala , Weiming Shen , Hongwei Wang

Markov Chain Monte Carlo (MCMC) is a popular class of statistical methods for simulating autocorrelated draws from target distributions, including posterior distributions in Bayesian analysis. An important consideration in using simulated…

Methodology · Statistics 2017-06-16 Benjamin E. Deonovic , Brian J. Smith

K-fold cross-validation (CV) with squared error loss is widely used for evaluating predictive models, especially when strong distributional assumptions cannot be taken. However, CV with squared error loss is not free from distributional…

Methodology · Statistics 2021-08-10 Assaf Rabinowicz , Saharon Rosset

Visual grounding is the task of locating objects specified by natural language expressions. Existing methods extend generic object detection frameworks to tackle this task. They typically extract visual and textual features separately using…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Ruilin Yao , Shengwu Xiong , Yichen Zhao , Yi Rong

Generalized Canonical Correlation Analysis (GCCA) is an important tool that finds numerous applications in data mining, machine learning, and artificial intelligence. It aims at finding `common' random variables that are strongly correlated…

Machine Learning · Computer Science 2021-05-19 Mikael Sørensen , Charilaos I. Kanatsoulis , Nicholas D. Sidiropoulos

Principal component analysis (PCA) is a well-known linear dimension-reduction method that has been widely used in data analysis and modeling. It is an unsupervised learning technique that identifies a suitable linear subspace for the input…

Machine Learning · Statistics 2021-09-10 Shaojie Xu , Joel Vaughan , Jie Chen , Agus Sudjianto , Vijayan Nair

Given two sets of variables, derived from a common set of samples, sparse Canonical Correlation Analysis (CCA) seeks linear combinations of a small number of variables in each set, such that the induced canonical variables are maximally…

Machine Learning · Statistics 2016-05-31 Megasthenis Asteris , Anastasios Kyrillidis , Oluwasanmi Koyejo , Russell Poldrack

Bayes linear analysis and approximate Bayesian computation (ABC) are techniques commonly used in the Bayesian analysis of complex models. In this article we connect these ideas by demonstrating that regression-adjustment ABC algorithms…

Methodology · Statistics 2012-12-10 D. J. Nott , Y. Fan , L. Marshall , S. A. Sisson

Markov chain Monte Carlo (MCMC) provides asymptotically consistent estimates of intractable posterior expectations as the number of iterations tends to infinity. However, in large data applications, MCMC can be computationally expensive per…

Computation · Statistics 2023-11-03 Niloy Biswas , Lester Mackey

With the increasing size of today's data sets, finding the right parameter configuration in model selection via cross-validation can be an extremely time-consuming task. In this paper we propose an improved cross-validation procedure which…

Machine Learning · Computer Science 2016-02-05 Tammo Krueger , Danny Panknin , Mikio Braun

We study the compressed sensing reconstruction problem for a broad class of random, band-diagonal sensing matrices. This construction is inspired by the idea of spatial coupling in coding theory. As demonstrated heuristically and…

Information Theory · Computer Science 2015-03-19 David L. Donoho , Adel Javanmard , Andrea Montanari

Super learner algorithm can be applied to combine results of multiple base learners to improve quality of predictions. The default method for verification of super learner results is by nested cross validation. It has been proposed by…

Machine Learning · Computer Science 2020-03-19 Krzysztof Mnich , Agnieszka Kitlas Golińska , Aneta Polewko-Klim , Witold R. Rudnicki

Sampling and quantization are standard practices in signal and image processing, but a theoretical understanding of their impact is incomplete. We consider discrete image registration when the underlying function is a one-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Serap A. Savari

Unlike its intercept, a linear classifier's weight vector cannot be tuned by a simple grid search. Hence, this paper proposes weight vector tuning of a generic binary linear classifier through the parameterization of a decomposition of the…

Machine Learning · Statistics 2021-10-04 Lama B. Niyazi , Abla Kammoun , Hayssam Dahrouj , Mohamed-Slim Alouini , Tareq Al-Naffouri

Recent indexing techniques inspired by source coding have been shown successful to index billions of high-dimensional vectors in memory. In this paper, we propose an approach that re-ranks the neighbor hypotheses obtained by these…

Information Retrieval · Computer Science 2011-02-21 Hervé Jégou , Romain Tavenard , Matthijs Douze , Laurent Amsaleg

Matching a nonprobability sample to a probability sample is one strategy both for selecting the nonprobability units and for weighting them. This approach has been employed in the past to select subsamples of persons from a large panel of…

Methodology · Statistics 2021-12-03 Zhan Liu , Richard Valliant

Canonical correlation analysis (CCA) is a technique to find statistical dependencies between a pair of multivariate data. However, its application to high dimensional data is limited due to the resulting time complexity. While the…

Machine Learning · Computer Science 2020-12-29 Naoko Koide-Majima , Kei Majima
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