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Modeling heterogeneity on heavy-tailed distributions under a regression framework is challenging, and classical statistical methodologies usually place conditions on the distribution models to facilitate the learning procedure. However,…

Methodology · Statistics 2024-10-29 Jiaxi Wang , Yanxi Hou , Xingchi Li , Tiandong Wang

Motivated by image-on-scalar regression with data aggregated across multiple sites, we consider a setting in which multiple independent studies each collect multiple dependent vector outcomes, with potential mean model parameter homogeneity…

Methodology · Statistics 2022-10-06 Emily C. Hector

Tensor regression methods have been widely used to predict a scalar response from covariates in the form of a multiway array. In many applications, the regions of tensor covariates used for prediction are often spatially connected with…

Methodology · Statistics 2024-04-02 Shuoli Chen , Kejun He , Shiyuan He , Yang Ni , Raymond K. W. Wong

Model-based reinforcement learning uses models to plan, where the predictions and policies of an agent can be improved by using more computation without additional data from the environment, thereby improving sample efficiency. However,…

Machine Learning · Computer Science 2023-02-22 Animesh Kumar Paul , Videh Raj Nema

The regression of a functional response on a set of scalar predictors can be a challenging task, especially if there is a large number of predictors, or the relationship between those predictors and the response is nonlinear. In this work,…

Machine Learning · Statistics 2023-08-24 Sidi Wu , Cédric Beaulac , Jiguo Cao

Boosting Trees are one of the most successful statistical learning approaches that involve sequentially growing an ensemble of simple regression trees (i.e., "weak learners"). However, gradient boosted trees are not yet available for…

Functional regression analysis is an established tool for many contemporary scientific applications. Regression problems involving large and complex data sets are ubiquitous, and feature selection is crucial for avoiding overfitting and…

Methodology · Statistics 2024-10-18 Tobia Boschi , Lorenzo Testa , Francesca Chiaromonte , Matthew Reimherr

As a key component of power system production simulation, load forecasting is critical for the stable operation of power systems. Machine learning methods prevail in this field. However, the limited training data can be a challenge. This…

Systems and Control · Electrical Eng. & Systems 2024-12-18 Linna Xu , Yongli Zhu

Statistical learning methods have been growing in popularity in recent years. Many of these procedures have parameters that must be tuned for models to perform well. Research has been extensive in neural networks, but not for many other…

Machine Learning · Statistics 2023-03-15 Jill F. Lundell

In traditional boosting algorithms, the focus on misclassified training samples emphasizes their importance based on difficulty during the learning process. While using a standard Support Vector Machine (SVM) as a weak learner in an…

Machine Learning · Computer Science 2024-10-10 Junbo Jacob Lian

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…

Statistics Theory · Mathematics 2016-10-25 Zhaohu Fan , Matthew Reimherr

Diffusion models have emerged as powerful tools for 3D medical image generation, yet bridging the gap between standard training objectives and clinical relevance remains a challenge. This paper presents a method to enhance 3D diffusion…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Yueying Tian , Xudong Han , Meng Zhou , Rodrigo Aviles-Espinosa , Rupert Young , Philip Birch

The functional logit regression model was proposed by Escabias et al. (2004) with the objective of modeling a scalar binary response variable from a functional predictor. The model estimation proposed in that case was performed in a…

Methodology · Statistics 2024-02-08 Manuel Escabias , Ana M. Aguilera , Christian Acal

We study the connection between multicalibration and boosting for squared error regression. First we prove a useful characterization of multicalibration in terms of a ``swap regret'' like condition on squared error. Using this…

Machine Learning · Computer Science 2023-02-01 Ira Globus-Harris , Declan Harrison , Michael Kearns , Aaron Roth , Jessica Sorrell

Forward stagewise regression is a simple algorithm that can be used to estimate regularized models. The updating rule adds a small constant to a regression coefficient in each iteration, such that the underlying optimization problem is…

Methodology · Statistics 2024-05-29 Mattias Wetscher , Johannes Seiler , Reto Stauffer , Nikolaus Umlauf

We tackle the challenge of feature embedding for the purposes of improving the click-through rate prediction process. We select three models: logistic regression, factorization machines and deep factorization machines, as our baselines and…

Machine Learning · Computer Science 2022-09-21 Samo Pahor , Davorin Kopič , Jure Demšar

In this paper, we study statistical inference in functional quantile regression for scalar response and a functional covariate. Specifically, we consider a functional linear quantile regression model where the effect of the covariate on the…

Methodology · Statistics 2022-08-23 Meng Li , Kehui Wang , Arnab Maity , Ana-Maria Staicu

In this paper, we study the estimation and inference of change points under a functional linear regression model with changes in the slope function. We present a novel Functional Regression Binary Segmentation (FRBS) algorithm which is…

Methodology · Statistics 2026-02-02 Shivam Kumar , Haotian Xu , Haeran Cho , Daren Wang

A regression method for proportional, or fractional, data with mixed effects is outlined, designed for analysis of datasets in which the outcomes have substantial weight at the bounds. In such cases a normal approximation is particularly…

Methodology · Statistics 2018-05-23 Colman Humphrey , Dan Swingley

This paper addresses the fundamental task of estimating covariance matrix functions for high-dimensional functional data/functional time series. We consider two functional factor structures encompassing either functional factors with scalar…

Methodology · Statistics 2025-10-28 Dong Li , Xinghao Qiao , Zihan Wang