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This article considers a linear model in a high dimensional data scenario. We propose a process which uses multiple loss functions both to select relevant predictors and to estimate parameters, and study its asymptotic properties. Variable…

统计方法学 · 统计学 2020-07-01 Guorong Dai , Ursula U. Müller

This article presents an empirical validation of the functional multidimensional scaling model, a novel approach that improves the smoothness of time-varying dissimilarities in a low-dimensional space, embedding a modified Adam stochastic…

应用统计 · 统计学 2025-05-21 Liting Li

Many computer vision and medical imaging problems are faced with learning from large-scale datasets, with millions of observations and features. In this paper we propose a novel efficient learning scheme that tightens a sparsity constraint…

机器学习 · 统计学 2017-02-07 Adrian Barbu , Yiyuan She , Liangjing Ding , Gary Gramajo

Model-based clustering is a popular approach for clustering multivariate data which has seen applications in numerous fields. Nowadays, high-dimensional data are more and more common and the model-based clustering approach has adapted to…

统计方法学 · 统计学 2018-09-25 Michael Fop , Thomas Brendan Murphy

This paper presents tests to formally choose between regression models using different derivatives of a functional covariate in scalar-on-function regression. We demonstrate that for linear regression, models using different derivatives can…

统计方法学 · 统计学 2020-08-19 Giles Hooker , Hanlin Shang

Functional data clustering is to identify heterogeneous morphological patterns in the continuous functions underlying the discrete measurements/observations. Application of functional data clustering has appeared in many publications across…

统计方法学 · 统计学 2022-10-04 Mimi Zhang , Andrew Parnell

In cluster analysis, a common first step is to scale the data aiming to better partition them into clusters. Even though many different techniques have throughout many years been introduced to this end, it is probably fair to say that the…

机器学习 · 计算机科学 2023-05-30 Eduardo J. Aguilar , Valmir C. Barbosa

Multiple imputation has become one of the standard methods in drawing inferences in many incomplete data applications. Applications of multiple imputation in relatively more complex settings, such as high-dimensional clustered data, require…

统计方法学 · 统计学 2025-04-08 Qiushuang Li , Recai Yucel

We propose a new prediction method for multivariate linear regression problems where the number of features is less than the sample size but the number of outcomes is extremely large. Many popular procedures, such as penalized regression…

统计方法学 · 统计学 2021-04-20 Yihe Wang , Sihai Dave Zhao

Spatial functional data arise in many settings, such as particulate matter curves observed at monitoring stations and age population curves at each areal unit. Most existing functional regression models have limited applicability because…

统计方法学 · 统计学 2025-04-25 Heesang Lee , Dagun Oh , Sunhwa Choi , Jaewoo Park

Applications of functional data with large numbers of predictors have grown precipitously in recent years, driven, in part, by rapid advances in genotyping technologies. Given the large numbers of genetic mutations encountered in genetic…

统计理论 · 数学 2016-10-25 Zhaohu Fan , Matthew Reimherr

The literature on clustering for continuous data is rich and wide; differently, that one developed for categorical data is still limited. In some cases, the problem is made more difficult by the presence of noise variables/dimensions that…

统计方法学 · 统计学 2015-04-14 Monia Ranalli , Roberto Rocci

We consider nonparametric prediction with multiple covariates, in particular categorical or functional predictors, or a mixture of both. The method proposed bases on an extension of the Nadaraya-Watson estimator where a kernel function is…

统计方法学 · 统计学 2022-08-05 Leonie Selk , Jan Gertheiss

The paper considers functional linear regression, where scalar responses $Y_1,...,Y_n$ are modeled in dependence of random functions $X_1,...,X_n$. We propose a smoothing splines estimator for the functional slope parameter based on a…

统计理论 · 数学 2009-02-26 Christophe Crambes , Alois Kneip , Pascal Sarda

In this work, we developed a new Bayesian method for variable selection in function-on-scalar regression (FOSR). Our method uses a hierarchical Bayesian structure and latent variables to enable an adaptive covariate selection process for…

统计方法学 · 统计学 2026-03-31 Pedro Henrique T. O. Sousa , Camila P. E. de Souza , Ronaldo Dias

Clustering and dimensionality reduction have been crucial topics in machine learning and computer vision. Clustering high-dimensional data has been challenging for a long time due to the curse of dimensionality. For that reason, a more…

机器学习 · 统计学 2026-04-16 Sida Liu , Yangzi Guo , Mingyuan Wang

We present two methods for detecting patterns and clusters in high dimensional time-dependent functional data. Our methods are based on wavelet-based similarity measures, since wavelets are well suited for identifying highly discriminant…

统计方法学 · 统计学 2013-02-15 Anestis Antoniadis , Xavier Brossat , Jairo Cugliari , Jean-Michel Poggi

Finite mixture regression models are useful for modeling the relationship between response and predictors, arising from different subpopulations. In this article, we study high-dimensional predic- tors and high-dimensional response, and…

统计理论 · 数学 2016-01-07 Emilie Devijver

We study the problem of semantic segmentation calibration. Lots of solutions have been proposed to approach model miscalibration of confidence in image classification. However, to date, confidence calibration research on semantic…

计算机视觉与模式识别 · 计算机科学 2023-03-28 Dongdong Wang , Boqing Gong , Liqiang Wang

Longitudinal data analysis is fundamental for understanding dynamic processes in biomedical and social sciences. Although varying coefficient models (VCMs) provide a flexible framework by allowing covariate effects to evolve over time,…

统计方法学 · 统计学 2026-03-10 Yu Lu , Tianni Zhang , Yuyao Wang , Mengfei Ran