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We propose a novel linear discriminant analysis approach for the classification of high-dimensional matrix-valued data that commonly arises from imaging studies. Motivated by the equivalence of the conventional linear discriminant analysis…

统计方法学 · 统计学 2019-05-06 Wei Hu , Weining Shen , Hua Zhou , Dehan Kong

Data for several applications in diverse fields can be represented as multiple matrices that are linked across rows or columns. This is particularly common in molecular biomedical research, in which multiple molecular "omics" technologies…

机器学习 · 统计学 2024-08-02 Eric F. Lock

We address classification of distributional data, where units are described by histogram or interval-valued variables. The proposed approach uses a linear discriminant function where distributions or intervals are represented by quantile…

统计方法学 · 统计学 2020-10-15 S. Dias , P. Brito , P. Amaral

The performance of machine learning and pattern recognition algorithms generally depends on data representation. That is why, much of the current effort in performing machine learning algorithms goes into the design of preprocessing…

机器学习 · 计算机科学 2025-10-28 Fadi Dornaika , Ahmad Khoder , Abdelmalik Moujahid , Wassim Khoder

We consider analysis of relational data (a matrix), in which the rows correspond to subjects (e.g., people) and the columns correspond to attributes. The elements of the matrix may be a mix of real and categorical. Each subject and…

机器学习 · 计算机科学 2012-07-03 Esther Salazar , Matthew Cain , Elise Darling , Stephen Mitroff , Lawrence Carin

Despite extensive standardization, diagnostic interviews for mental health disorders encompass substantial subjective judgment. Previous studies have demonstrated that EEG-based neural measures can function as reliable objective correlates…

High dimensional classification has been highlighted for last two decades and much research has been conducted in order to circumvent challenges encountered in high dimensions. While existing methods have focused mainly on developing…

统计方法学 · 统计学 2022-11-16 Seungchul Baek

Deep generative models with latent variables have been used lately to learn joint representations and generative processes from multi-modal data. These two learning mechanisms can, however, conflict with each other and representations can…

机器学习 · 计算机科学 2023-01-24 Rogelio A. Mancisidor , Michael Kampffmeyer , Kjersti Aas , Robert Jenssen

Studies that collect multi-outcome data such as tobacco and alcohol use are becoming increasingly common. In principle, multi-outcomes studies investigate the correlations between outcomes, including, causal links and/or joint…

统计方法学 · 统计学 2022-11-03 George G. Vega Yon , Mary Jo Pugh , Thomas W. Valente

Food authenticity studies are concerned with determining if food samples have been correctly labeled or not. Discriminant analysis methods are an integral part of the methodology for food authentication. Motivated by food authenticity…

统计方法学 · 统计学 2010-10-08 Thomas Brendan Murphy , Nema Dean , Adrian E. Raftery

Discovering interpretable patterns for classification of sequential data is of key importance for a variety of fields, ranging from genomics to fraud detection or more generally interpretable decision-making. In this paper, we propose a…

机器学习 · 计算机科学 2023-02-23 Marine Collery , Philippe Bonnard , François Fages , Remy Kusters

Causal disentanglement seeks a representation of data involving latent variables that relate to one another via a causal model. A representation is identifiable if both the latent model and the transformation from latent to observed…

机器学习 · 统计学 2023-06-13 Chandler Squires , Anna Seigal , Salil Bhate , Caroline Uhler

In a standard regression problem, we have a set of explanatory variables whose effect on some response vector is modeled. For wide binary data, such as genetic marker data, we often have two limitations. First, we have more parameters than…

统计方法学 · 统计学 2021-09-20 Katharina Parry , Leo N. Geppert , Alexander Munteanu , Katja Ickstadt

Inference tasks in signal processing are often characterized by the availability of reliable statistical modeling with some missing instance-specific parameters. One conventional approach uses data to estimate these missing parameters and…

信号处理 · 电气工程与系统科学 2023-04-25 Nir Shlezinger , Tirza Routtenberg

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…

统计方法学 · 统计学 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Numerous signals in relevant signal processing applications can be modeled as a sum of complex exponentials. Each exponential term entails a particular property of the modeled physical system, and it is possible to define families of…

信号处理 · 电气工程与系统科学 2021-11-10 Magdalena Bouza , Andres Altieri , Cecilia G. Galarza

Representational distinctions within categories are important in all perceptual modalities and also in cognitive and motor representations. Recent pattern-information studies of brain activity have used condition-rich designs to sample the…

神经元与认知 · 定量生物学 2022-05-20 Hamed Nili , Alexander Walther , Arjen Alink , Nikolaus Kriegeskorte

Statistical methods for analyzing large-scale biomolecular data are commonplace in computational biology. A notable example is phenotype prediction from gene expression data, for instance, detecting human cancers, differentiating subtypes…

基因组学 · 定量生物学 2014-11-24 Bahman Afsari , Ulisses M. Braga-Neto , Donald Geman

Matrix-variate distributions can intuitively model the dependence structure of matrix-valued observations that arise in applications with multivariate time series, spatio-temporal or repeated measures. This paper develops an…

统计方法学 · 统计学 2019-12-24 Geoffrey Z. Thompson , Ranjan Maitra , William Q. Meeker , Ashraf Bastawros

The assumption of independence between observations (units) in a dataset is prevalent across various methodologies for learning causal graphical models. However, this assumption often finds itself in conflict with real-world data, posing…

机器学习 · 计算机科学 2024-12-31 Alex Chen , Qing Zhou
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