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Since the introduction of the lasso in regression, various sparse methods have been developed in an unsupervised context like sparse principal component analysis (s-PCA), sparse canonical correlation analysis (s-CCA) and sparse singular…

Methodology · Statistics 2020-12-09 Ruiping Liu , Ndeye Niang , Gilbert Saporta , Huiwen Wang

Real-world data distributions are often highly skewed. This has spurred a growing body of research on long-tailed recognition, aimed at addressing the imbalance in training classification models. Among the methods studied, multiplicative…

Machine Learning · Computer Science 2025-03-11 Naoya Hasegawa , Issei Sato

Granger causality analysis (GCA) provides a powerful tool for uncovering the patterns of brain connectivity mechanism using neuroimaging techniques. Conventional GCA applies two different mathematical theories in a two-stage scheme: (1) the…

Methodology · Statistics 2020-04-28 Fei Li , Xuewei Wang , Qiang Lin , Zhenghui Hu

Researchers in the behavioral and social sciences use linear discriminant analysis (LDA) for predictions of group membership (classification) and for identifying the variables most relevant to group separation among a set of continuous…

Methodology · Statistics 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Confidence calibration is essential for making large language models (LLMs) reliable, yet existing training-free methods have been primarily studied under single-answer question answering. In this paper, we show that these methods break…

Computation and Language · Computer Science 2026-02-10 Yuhan Wang , Shiyu Ni , Zhikai Ding , Zihang Zhan , Yuanzi Li , Keping Bi

The key to multi-label image classification (MLC) is to improve model performance by leveraging label correlations. Unfortunately, it has been shown that overemphasizing co-occurrence relationships can cause the overfitting issue of the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Ming-Kun Xie , Jia-Hao Xiao , Pei Peng , Gang Niu , Masashi Sugiyama , Sheng-Jun Huang

Data Warehouses are structures with large amount of data collected from heterogeneous sources to be used in a decision support system. Data Warehouses analysis identifies hidden patterns initially unexpected which analysis requires great…

Artificial Intelligence · Computer Science 2016-02-16 Sami Naouali , Semeh Ben Salem

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

This article critically assesses the utility of the classical statistical technique of Canonical Correlation Analysis (CCA) for studying spatial associations and proposes a new approach to enhance it. Unlike bivariate correlation analysis,…

Methodology · Statistics 2026-02-12 Zhenzhi Jiao , Angela Yao , Ran Tao , Jean-Claude Thill

This paper studies high-dimensional canonical correlation analysis (CCA) with an emphasis on the vectors that define canonical variables. The paper shows that when two dimensions of data grow to infinity jointly and proportionally, the…

Econometrics · Economics 2025-01-24 Anna Bykhovskaya , Vadim Gorin

The problem of large scale multiple testing arises in many contexts, including testing for pairwise interaction among large numbers of neurons. With advances in technologies, it has become common to record from hundreds of neurons…

Computation · Statistics 2017-11-02 Bin Liu , Giuseppe Vinci , Adam C. Snyder , Robert E. Kass

In the following article we consider approximate Bayesian computation (ABC) inference. We introduce a method for numerically approximating ABC posteriors using the multilevel Monte Carlo (MLMC). A sequential Monte Carlo version of the…

Methodology · Statistics 2017-02-14 Ajay Jasra , Seongil Jo , David Nott , Christine Shoemaker , Raul Tempone

The cross-media retrieval problem has received much attention in recent years due to the rapid increasing of multimedia data on the Internet. A new approach to the problem has been raised which intends to match features of different…

Multimedia · Computer Science 2015-12-18 Cuicui Kang , Shengcai Liao , Yonghao He , Jian Wang , Wenjia Niu , Shiming Xiang , Chunhong Pan

Canonical correlation analysis (CCA for short) describes the relationship between two sets of variables by finding some linear combinations of these variables that maximizing the correlation coefficient. However, in high-dimensional…

Optimization and Control · Mathematics 2020-03-23 Kangkang Deng , Zheng Peng

Empirical studies show that real world networks often exhibit multiple scales of topological descriptions. However, it is still an open problem how to identify the intrinsic multiple scales of networks. In this article, we consider…

Physics and Society · Physics 2010-07-27 Hua-Wei Shen , Xue-Qi Cheng , Bin-Xing Fang

This paper considers the estimation and inference of the low-rank components in high-dimensional matrix-variate factor models, where each dimension of the matrix-variates ($p \times q$) is comparable to or greater than the number of…

Statistics Theory · Mathematics 2022-10-20 Elynn Y. Chen , Jianqing Fan

Multivariate imputation by chained equations (MICE) is one of the most popular approaches to address missing values in a data set. This approach requires specifying a univariate imputation model for every variable under imputation. The…

Methodology · Statistics 2023-11-01 Edoardo Costantini , Kyle M. Lang , Klaas Sijtsma

Canonical Correlation Analysis (CCA) is a widely used statistical tool with both well established theory and favorable performance for a wide range of machine learning problems. However, computing CCA for huge datasets can be very slow…

Machine Learning · Statistics 2014-12-31 Yichao Lu , Dean P. Foster

Canonical correlation analysis (CCA) is a standard tool for studying associations between two data sources; however, it is not designed for data with count or proportion measurement types. In addition, while CCA uncovers common signals, it…

Computation · Statistics 2022-08-02 Dongbang Yuan , Yunfeng Zhang , Shuai Guo , Wenyi Wang , Irina Gaynanova

The development and use of dimension reduction methods is prevalent in modern statistical literature. This paper reviews a class of dimension reduction techniques which aim to simultaneously select relevant predictors and find clusters…

Methodology · Statistics 2022-02-18 Suchit Mehrotra