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In this paper, a linear model with grouped explanatory variables is considered. The idea is to perform an automatic detection of different successive groups of the unknown coefficients under the assumption that the number of groups is of…

统计方法学 · 统计学 2019-05-22 Gabriela Ciuperca , Matus Maciak , Francois Wahl

This paper deals with two-sample tests for functional time series data, which have become widely available in conjunction with the advent of modern complex observation systems. Here, particular interest is in evaluating whether two sets of…

统计理论 · 数学 2019-09-16 Alexander Aue , Holger Dette , Gregory Rice

Assessing variability according to distinct factors in data is a fundamental technique of statistics. The method commonly regarded to as analysis of variance (ANOVA) is, however, typically confined to the case where all levels of a factor…

统计方法学 · 统计学 2013-03-15 Steven Geinitz , Reinhard Furrer

We describe our approach towards building an efficient predictive model to detect emotions for a group of people in an image. We have proposed that training a Convolutional Neural Network (CNN) model on the emotion heatmaps extracted from…

计算机视觉与模式识别 · 计算机科学 2018-03-13 Saqib Shamsi , Bhanu Pratap Singh Rawat , Manya Wadhwa

Time series classification problems have drawn increasing attention in the machine learning and statistical community. Closely related is the field of functional data analysis (FDA): it refers to the range of problems that deal with the…

机器学习 · 统计学 2021-02-25 Florian Pfisterer , Laura Beggel , Xudong Sun , Fabian Scheipl , Bernd Bischl

We extend Gaussian perturbation models in classical functional data analysis to the three-dimensional rotational group where a zero-mean Gaussian process in the Lie algebra under the Lie exponential spreads multiplicatively around a central…

统计方法学 · 统计学 2024-04-19 Fabian J. E. Telschow , Stephan F. Huckemann , Michael R. Pierrynowski

This paper is concerned with inference based on the mean function of a functional time series, which is defined as a collection of curves obtained by splitting a continuous time record, e.g. into daily or annual curves. We develop a normal…

统计理论 · 数学 2011-05-03 Lajos Horvath , Piotr Kokoszka , Ron Reeder

We extend the wavelet tests for fixed effects FANOVA models with iid errors, proposed in Abramovich et al, 2004 to FANOVA models with dependent errors and provide an iterative Cochrane-Orcutt type procedure to estimate the parameters and…

统计方法学 · 统计学 2015-11-03 Airton Kist , Aluisio Pinheiro

We introduce a wavelet-domain functional analysis of variance (fANOVA) method based on a Bayesian hierarchical model. The factor effects are modeled through a spike-and-slab mixture at each location-scale combination along with a…

统计方法学 · 统计学 2016-02-23 Li Ma , Jacopo Soriano

Automatic detection of facial Action Units (AUs) allows for objective facial expression analysis. Due to the high cost of AU labeling and the limited size of existing benchmarks, previous AU detection methods tend to overfit the dataset,…

计算机视觉与模式识别 · 计算机科学 2023-08-25 Yufeng Yin , Di Chang , Guoxian Song , Shen Sang , Tiancheng Zhi , Jing Liu , Linjie Luo , Mohammad Soleymani

Traditional analysis of variance (ANOVA) software allows researchers to test for the significance of main effects in the presence of interactions without exposure to the details of how the software encodes main effects and interactions to…

统计方法学 · 统计学 2018-01-16 Roger Levy

Multivariate analysis-of-variance (MANOVA) is a well established tool to examine multivariate endpoints. While classical approaches depend on restrictive assumptions like normality and homogeneity, there is a recent trend to more general…

统计理论 · 数学 2022-11-29 Marléne Baumeister , Marc Ditzhaus , Markus Pauly

Functional data analysis deals with data recorded densely over time (or any other continuum) with one or more observed curves per subject. Conceptually, functional data are continuously defined, but in practice, they are usually observed at…

统计方法学 · 统计学 2023-01-20 Chengqian Xian , Camila de Souza , John Jewell , Ronaldo Dias

The homogeneity problem for testing if more than two different samples come from the same population is considered for the case of functional data. The methodological results are motivated by the study of homogeneity of electronic devices…

Motivated by population studies of Diffusion Tensor Imaging, the paper investigates the use of mean-based and dispersion-based permutation tests to define and compute the significance of a statistical test for data taking values on…

统计理论 · 数学 2013-05-07 Anne Collard , Christophe Phillips , Rodolphe Sepulchre

Rich semantic relations are important in a variety of visual recognition problems. As a concrete example, group activity recognition involves the interactions and relative spatial relations of a set of people in a scene. State of the art…

计算机视觉与模式识别 · 计算机科学 2016-04-13 Zhiwei Deng , Arash Vahdat , Hexiang Hu , Greg Mori

Automatic facial emotion recognition is a challenging task that has gained significant scientific interest over the past few years, but the problem of emotion recognition for a group of people has been less extensively studied. However, it…

计算机视觉与模式识别 · 计算机科学 2019-05-06 Samanyou Garg

Many organisations manage service quality and monitor a large set devices and servers where each entity is associated with telemetry or physical sensor data series. Recently, various methods have been proposed to detect behavioural…

社会与信息网络 · 计算机科学 2023-05-10 Len Feremans , Boris Cule , Bart Goethals

Analysis of variance (ANOVA) is an extremely important method in exploratory and confirmatory data analysis. Unfortunately, in complex problems (e.g., split-plot designs), it is not always easy to set up an appropriate ANOVA. We propose a…

统计理论 · 数学 2007-06-13 Andrew Gelman

This study proposes an innovative approach to analyze spatial patterns of behavior by integrating information in weighted Voronoi diagrams. The objective of the research is to analyze the temporal distribution of an experimental subject in…