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This paper proposes a partition-based functional ridge regression framework to address multicollinearity, overfitting, and interpretability in high-dimensional functional linear models. The coefficient function vector \(…

Methodology · Statistics 2026-03-13 Shaista Ashraf , Ismail Shah , Farrukh Javed

We consider the problem of estimating the slope parameter in circular functional linear regression, where scalar responses Y1,...,Yn are modeled in dependence of 1-periodic, second order stationary random functions X1,...,Xn. We consider an…

Statistics Theory · Mathematics 2010-10-01 Fabienne Comte , Jan Johannes

Value-function (VF) approximation is a central problem in Reinforcement Learning (RL). Classical non-parametric VF estimation suffers from the curse of dimensionality. As a result, parsimonious parametric models have been adopted to…

Machine Learning · Computer Science 2024-05-29 Sergio Rozada , Santiago Paternain , Antonio G. Marques

In practice functional data are sampled on a discrete set of observation points and often susceptible to noise. We consider in this paper the setting where such data are used as explanatory variables in a regression problem. If the primary…

Methodology · Statistics 2021-12-14 Siegfried Hörmann , Fatima Jammoul

Many existing interpretation methods are based on Partial Dependence (PD) functions that, for a pre-trained machine learning model, capture how a subset of the features affects the predictions by averaging over the remaining features.…

Machine Learning · Computer Science 2025-06-05 Jinyang Liu , Tessa Steensgaard , Marvin N. Wright , Niklas Pfister , Munir Hiabu

Image segmentation is a critical task in microscopy, essential for accurately analyzing and interpreting complex visual data. This task can be performed using custom models trained on domain-specific datasets, transfer learning from…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Kamyar Barakati , Utkarsh Pratiush , Sheryl L. Sanchez , Aditya Raghavan , Delia J. Milliron , Mahshid Ahmadi , Philip D. Rack , Sergei V. Kalinin

In this paper, we study a functional regression setting where the random response curve is unobserved, and only its dichotomized version observed at a sequence of correlated binary data is available. We propose a practical computational…

Methodology · Statistics 2020-12-07 Fatemeh Asgari , Mohammad Hossein Alamatsaz , Valeria Vitelli , Saeed Hayati

We propose a new optimization framework for aleatoric uncertainty estimation in regression problems. Existing methods can quantify the error in the target estimation, but they tend to underestimate it. To obtain the predictive uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Takumi Kawashima , Qing Yu , Akari Asai , Daiki Ikami , Kiyoharu Aizawa

Financial markets are interconnected, with micro-currents propagating across global markets and shaping economic trends. This paper moves beyond traditional stock market indices to examine cross-sectional return distributions-15 in our…

General Economics · Economics 2025-11-27 Ping Wu , Dan Zhu

Dense semantic forecasting anticipates future events in video by inferring pixel-level semantics of an unobserved future image. We present a novel approach that is applicable to various single-frame architectures and tasks. Our approach…

Computer Vision and Pattern Recognition · Computer Science 2022-01-06 Josip Šarić , Sacha Vražić , Siniša Šegvić

This paper is concerned with model averaging estimation for partially linear functional score models. These models predict a scalar response using both parametric effect of scalar predictors and non-parametric effect of a functional…

Methodology · Statistics 2021-05-04 Shishi Liu , Hao Zhang , Jingxiao Zhang

Modal regression has emerged as a flexible alternative to classical regression models when the conditional mean or median are unable to adequately capture the underlying relation between a response and a predictor variable. This approach is…

Methodology · Statistics 2025-04-08 Ana Pérez-González , Tomás R. Cotos-Yáñez , Rosa M. Crujeiras

Electricity demand forecasting is key to ensuring that supply meets demand lest the grid would blackout. Reliable short-term forecasts may be obtained by combining a Generalized Additive Models (GAM) with a State-Space model (Obst et al.,…

Machine Learning · Statistics 2025-04-01 Keshav Das , Julie Keisler , Margaux Brégère , Amaury Durand

Functional data such as curves and surfaces have become more and more common with modern technological advancements. The use of functional predictors remains challenging due to its inherent infinite-dimensionality. The common practice is to…

Statistics Theory · Mathematics 2023-01-31 Dengdeng Yu , Matthew Pietrosanu , Ivan Mizera , Bei Jiang , Linglong Kong , Wei Tu

We propose a novel few-shot action recognition framework, STRM, which enhances class-specific feature discriminability while simultaneously learning higher-order temporal representations. The focus of our approach is a novel spatio-temporal…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Anirudh Thatipelli , Sanath Narayan , Salman Khan , Rao Muhammad Anwer , Fahad Shahbaz Khan , Bernard Ghanem

We consider the problem of non-parametric regression with a potentially large number of covariates. We propose a convex, penalized estimation framework that is particularly well-suited for high-dimensional sparse additive models. The…

Methodology · Statistics 2019-06-19 Asad Haris , Ali Shojaie , Noah Simon

Penalized regression has become a standard tool for model building across a wide range of application domains. Common practice is to tune the amount of penalization to tradeoff bias and variance or to optimize some other measure of…

Methodology · Statistics 2018-04-05 Wenhao Hu , Eric Laber , Leonard Stefanski

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

Statistics Theory · Mathematics 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

Personalized services are central to today's digital economy, and their sequential decisions are often modeled as contextual bandits. Modern applications pose two main challenges: high-dimensional covariates and the need for nonparametric…

Machine Learning · Statistics 2026-01-07 Wenjia Wang , Qingwen Zhang , Xiaowei Zhang

Symbolic Regression (SR) is a powerful technique for discovering interpretable mathematical expressions. However, benchmarking SR methods remains challenging due to the diversity of algorithms, datasets, and evaluation criteria. In this…