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The starting point for much of multivariate analysis (MVA) is an $n\times p$ data matrix whose $n$ rows represent observations and whose $p$ columns represent variables. Some multivariate data sets, however, may be best conceptualized not…

Methodology · Statistics 2024-06-13 Biplab Paul , Philip T. Reiss , Erjia Cui , Noemi Foà

Determining dense semantic correspondences across objects and scenes is a difficult problem that underpins many higher-level computer vision algorithms. Unlike canonical dense correspondence problems which consider images that are spatially…

Computer Vision and Pattern Recognition · Computer Science 2015-05-18 Hilton Bristow , Jack Valmadre , Simon Lucey

While data science is battling to extract information from the enormous explosion of data, many estimators and algorithms are being developed for better prediction. Researchers and data scientists often introduce new methods and evaluate…

Applications · Statistics 2019-05-22 Raju Rimal , Trygve Almøy , Solve Sæbø

The analysis of contingency tables is a powerful statistical tool used in experiments with categorical variables. This study improves parts of the theory underlying the use of contingency tables. Specifically, the linkage disequilibrium…

Statistics Theory · Mathematics 2022-05-04 Friedrich Teuscher

Multiple correlation is a fundamental concept with broad applications. The classical multiple correlation coefficient is developed to assess how strongly a dependent variable is associated with a linear combination of independent variables.…

Methodology · Statistics 2025-04-23 Kai Yang , Yuhong Zhou , Wei Xu , Kirsten Beyer

Uncertainty quantification is a fundamental problem in the analysis and interpretation of synthetic control (SC) methods. We develop conditional prediction intervals in the SC framework, and provide conditions under which these intervals…

Methodology · Statistics 2021-09-09 Matias D. Cattaneo , Yingjie Feng , Rocio Titiunik

Multimodal Sentiment Analysis (MSA) has been a popular topic in natural language processing nowadays, at both sentence and aspect level. However, the existing approaches almost require large-size labeled datasets, which bring about large…

Computation and Language · Computer Science 2023-08-01 Zikai Zhou , Haisong Feng , Baiyou Qiao , Gang Wu , Donghong Han

The Contextuality-by-Default approach to determining and measuring the (non)contextuality of a system of random variables requires that every random variable in the system be represented by an equivalent set of dichotomous random variables.…

Quantum Physics · Physics 2022-01-05 Janne V. Kujala , Ehtibar N. Dzhafarov

This paper focuses on the analysis of open-ended questions answered in different languages. Closed-ended questions, called contextual variables, are asked to all respondents in order to understand the relationships between the free and the…

Computation and Language · Computer Science 2022-10-14 Kostov Blechin , Alvarez-Esteban Ramón , Bécue-Bertaut Mónica , Husson François

Humans explain inter-object relationships with semantic labels that demonstrate a high-level understanding required to perform complex Vision-Language tasks such as Visual Question Answering (VQA). However, existing VQA models represent…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Moshiur Farazi , Salman Khan , Nick Barnes

Symbolic regression (SR) methods attempt to learn mathematical expressions that approximate the behavior of an observed system. However, when dealing with multivariate systems, they often fail to identify the functional form that explains…

Machine Learning · Computer Science 2024-06-27 Giorgio Morales , John W. Sheppard

We seek to semantically describe a set of images, capturing both the attributes of single images and the variations within the set. Our procedure is analogous to Principle Component Analysis, in which the role of projection vectors is…

Computer Vision and Pattern Recognition · Computer Science 2022-10-24 Oded Hupert , Idan Schwartz , Lior Wolf

With the increasing computational power of current supercomputers, the size of data produced by scientific simulations is rapidly growing. To reduce the storage footprint and facilitate scalable post-hoc analyses of such scientific data…

Machine Learning · Computer Science 2021-04-14 Subhashis Hazarika , Ayan Biswas , Phillip J. Wolfram , Earl Lawrence , Nathan Urban

We extend multi-way, multivariate ANOVA-type analysis to cases where one covariate is the view, with features of each view coming from different, high-dimensional domains. The different views are assumed to be connected by having paired…

Machine Learning · Statistics 2009-12-17 Ilkka Huopaniemi , Tommi Suvitaival , Janne Nikkilä , Matej Orešič , Samuel Kaski

Many analyses of multivariate data focus on evaluating the dependence between two sets of variables, rather than the dependence among individual variables within each set. Canonical correlation analysis (CCA) is a classical data analysis…

Methodology · Statistics 2024-04-23 Jordan G. Bryan , Jonathan Niles-Weed , Peter D. Hoff

Canonical correlation analysis (CCA) is a technique for measuring the association between two multivariate data matrices. A regularized modification of canonical correlation analysis (RCCA) which imposes an $\ell_2$ penalty on the CCA…

Methodology · Statistics 2021-07-30 Elena Tuzhilina , Leonardo Tozzi , Trevor Hastie

Methods for supervised principal component analysis (SPCA) aim to incorporate label information into principal component analysis (PCA), so that the extracted features are more useful for a prediction task of interest. Prior work on SPCA…

Machine Learning · Statistics 2022-08-18 Alexander Ritchie , Laura Balzano , Daniel Kessler , Chandra S. Sripada , Clayton Scott

Multivariate Analysis is an increasingly common tool in experimental high energy physics; however, many of the common approaches were borrowed from other fields. We clarify what the goal of a multivariate algorithm should be for the search…

Data Analysis, Statistics and Probability · Physics 2014-11-18 Kyle S. Cranmer

Stimulation methods that utilise more than one stimulation frequency have been developed for steady-state visual evoked potential (SSVEP) brain-computer interfaces (BCIs) with the purpose of increasing the number of targets that can be…

Neurons and Cognition · Quantitative Biology 2021-08-12 Jing Mu , Ying Tan , David B. Grayden , Denny Oetomo

The use of complex attention modules has improved the performance of the Visual Question Answering (VQA) task. This work aims to learn an improved multi-modal representation through dense interaction of visual and textual modalities. The…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Aakansha Mishra , Ashish Anand , Prithwijit Guha
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