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Errors might not have the same consequences depending on the task at hand. Nevertheless, there is limited research investigating the impact of imbalance in the contribution of different features in an error vector. Therefore, we propose the…

机器学习 · 计算机科学 2022-07-12 Xavier F. Cadet , Sara Ahmadi-Abhari , Hamed Haddadi

Symbolic data analysis (SDA) is an emerging area of statistics concerned with understanding and modelling data that takes distributional form (i.e. symbols), such as random lists, intervals and histograms. It was developed under the premise…

统计计算 · 统计学 2020-04-09 Boris Beranger , Huan Lin , Scott A. Sisson

Fisher discriminant analysis (FDA) is a widely used method for classification and dimensionality reduction. When the number of predictor variables greatly exceeds the number of observations, one of the alternatives for conventional FDA is…

机器学习 · 统计学 2018-11-30 Agniva Chowdhury , Jiasen Yang , Petros Drineas

In the context of Bayesian factor analysis, it is possible to compute mean plausible values, which might be used as covariates or predictors or in order to provide individual scores for the Bayesian latent variables. Previous simulation…

应用统计 · 统计学 2021-09-21 André Beauducel , Norbert Hilger

Selective inference (post-selection inference) is a methodology that has attracted much attention in recent years in the fields of statistics and machine learning. Naive inference based on data that are also used for model selection tends…

统计方法学 · 统计学 2021-11-25 Yoshiyuki Ninomiya , Yuta Umezu , Ichiro Takeuchi

It is shown, with two sets of indicators that separately load on two distinct factors, independent of one another conditional on the past, that if it is the case that at least one of the factors causally affects the other, then, in many…

统计方法学 · 统计学 2022-04-18 Tyler J. VanderWeele , Charles J. K. Batty

Combining multiple predictors obtained from distributed data sources to an accurate meta-learner is promising to achieve enhanced performance in lots of prediction problems. As the accuracy of each predictor is usually unknown, integrating…

机器学习 · 统计学 2024-08-16 Shiva Afshar , Yinghan Chen , Shizhong Han , Ying Lin

Multivariate functional principal component analysis (MFPCA) is a powerful dimension reduction technique for analyzing multiple functional variables simultaneously. However, existing MFPCA methods assume that all functional observations are…

Feature selection (FS) is a process which attempts to select more informative features. In some cases, too many redundant or irrelevant features may overpower main features for classification. Feature selection can remedy this problem and…

机器学习 · 计算机科学 2013-06-07 A. Nisthana Parveen , H. Hannah Inbarani , E. N. Sathishkumar

Slow feature analysis (SFA) is an unsupervised learning algorithm that extracts slowly varying features from a time series. Graph-based SFA (GSFA) is a supervised extension that can solve regression problems if followed by a post-processing…

人工智能 · 计算机科学 2015-09-29 Alberto N. Escalante-B. , Laurenz Wiskott

Determining the number of factors in high-dimensional factor modeling is essential but challenging, especially when the data are heavy-tailed. In this paper, we introduce a new estimator based on the spectral properties of Spearman sample…

统计方法学 · 统计学 2024-08-29 Jiaxin Qiu , Zeng Li , Jianfeng Yao

Increasingly, researchers have suggested the benefits of temporal analysis to improve our understanding of the learning process. Sequential pattern mining (SPM), as a pattern recognition technique, has the potential to reveal the temporal…

机器学习 · 计算机科学 2023-05-02 Yingbin Zhang , Luc Paquette

The Bayes factor, the data-based updating factor of the prior to posterior odds of two hypotheses, is a natural measure of statistical evidence for one hypothesis over the other. We show how Bayes factors can also be used for parameter…

统计方法学 · 统计学 2025-07-09 Samuel Pawel

We propose a "small-uniform" statistic for the inference of the functional PCA estimator in a functional linear regression model. The literature has shown two extreme behaviors: on the one hand, the FPCA estimator does not converge in…

统计理论 · 数学 2021-02-23 Raymond C. W. Leung , Yu-Man Tam

Background/Objectives: Falls represent a major health concern for stroke survivors, necessitating effective risk assessment tools. This study proposes the Instrumented Fall Risk Assessment (IFRA) scale, a novel screening tool derived from…

Supervised matrix factorization (SMF) is a classical machine learning method that simultaneously seeks feature extraction and classification tasks, which are not necessarily a priori aligned objectives. Our goal is to use SMF to learn…

机器学习 · 统计学 2023-11-21 Joowon Lee , Hanbaek Lyu , Weixin Yao

To avoid failures on out-of-distribution data, recent works have sought to extract features that have an invariant or stable relationship with the label across domains, discarding "spurious" or unstable features whose relationship with the…

Statistical coupling analysis (SCA) is a method for analyzing multiple sequence alignments that was used to identify groups of coevolving residues termed "sectors". The method applies spectral analysis to a matrix obtained by combining…

生物大分子 · 定量生物学 2015-06-19 Tiberiu Tesileanu , Lucy J. Colwell , Stanislas Leibler

When modeling multivariate data, one might have an extra parameter of contextual information that could be used to treat some observations as more similar to others. For example, images of faces can vary by age, and one would expect the…

计算机视觉与模式识别 · 计算机科学 2018-02-06 Ajay Gupta , Adrian Barbu

Fisher Discriminant Analysis (FDA) is a subspace learning method which minimizes and maximizes the intra- and inter-class scatters of data, respectively. Although, in FDA, all the pairs of classes are treated the same way, some classes are…

机器学习 · 统计学 2020-07-01 Benyamin Ghojogh , Milad Sikaroudi , H. R. Tizhoosh , Fakhri Karray , Mark Crowley
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