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We prove a functional inequality in any dimension controlling the derivative along a transport of the Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the third author and collaborators…

Analysis of PDEs · Mathematics 2025-11-18 Elias Hess-Childs , Matthew Rosenzweig , Sylvia Serfaty

We consider a longitudinal data structure consisting of baseline covariates, time-varying treatment variables, intermediate time-dependent covariates, and a possibly time dependent outcome. Previous studies have shown that estimating the…

Statistics Theory · Mathematics 2018-10-09 Linh Tran , Maya Petersen , Joshua Schwab , Mark J van der Laan

Classical latent-score ranking models often fail to distinguish objects' intrinsic scores from contextual effects, which are typically nonlinear and can dominate the observed outcomes. To address this, we introduce a semiparametric ranking…

Methodology · Statistics 2026-04-22 Yuanhang Luo , Shuxing Fang , Ruijian Han , Yiming Xu

In functional data analysis, functional linear regression has attracted significant attention recently. Herein, we consider the case where both the response and covariates are functions. There are two available approaches for addressing…

Methodology · Statistics 2021-09-28 Mauro Bernardi , Antonio Canale , Marco Stefanucci

Performativity means that the deployment of a predictive model incentivizes agents to strategically adapt their behavior, thereby inducing a model-dependent distribution shift. Practitioners often repeatedly retrain the model on data…

Optimization and Control · Mathematics 2026-02-09 Siyi Wang , Zifan Wang , Karl H. Johansson

Latent factor models (LFMs) such as matrix factorization achieve the state-of-the-art performance among various Collaborative Filtering (CF) approaches for recommendation. Despite the high recommendation accuracy of LFMs, a critical issue…

Machine Learning · Computer Science 2019-09-10 Weiyu Cheng , Yanyan Shen , Yanmin Zhu , Linpeng Huang

This paper is concerned with the approximation of continuously differentiable functions with high-dimensional input by a composition of two functions: a feature map that extracts few features from the input space, and a profile function…

Numerical Analysis · Mathematics 2026-02-13 Alexandre Pasco , Anthony Nouy

Estimating causal effects under interference, where the stable unit treatment value assumption is violated, is critical in fields such as regional and public economics. Much of the existing research on causal inference under interference…

Methodology · Statistics 2026-02-03 Akihiro Sato , Shonosuke Sugasawa

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

In this paper, we develop a semiparametric sensitivity analysis approach designed to address unmeasured confounding in observational studies with time-to-event outcomes. We target estimation of the marginal distributions of potential…

Methodology · Statistics 2025-11-21 Linda Amoafo , Shiyao Xu , Elizabeth Platz , Daniel Scharfstein

Urban forecasting has increasingly benefited from high-dimensional spatial data through two primary approaches: graph-based methods that rely on predefined spatial structures, and region-based methods that focus on learning expressive urban…

Artificial Intelligence · Computer Science 2025-06-18 Yuhao Jia , Zile Wu , Shengao Yi , Yifei Sun , Xiao Huang

Real-world phenomena do not generate arbitrary variability: their signals concentrate on compact, low-variability subsets of functional space, enabling rapid generalisation from few examples. We formalise this principle through a…

Machine Learning · Computer Science 2026-04-29 Eduardo Di Santi

We propose a visualization method to understand the effect of multidimensional projection on local subspaces, using implicit function differentiation. Here, we understand the local subspace as the multidimensional local neighborhood of data…

Machine Learning · Computer Science 2023-07-21 Rongzheng Bian , Yumeng Xue , Liang Zhou , Jian Zhang , Baoquan Chen , Daniel Weiskopf , Yunhai Wang

Sample-efficient generalisation of reinforcement learning approaches have always been a challenge, especially, for complex scenes with many components. In this work, we introduce Plug and Play Markov Decision Processes, an object-based…

Machine Learning · Computer Science 2021-08-23 Majid Abdolshah , Hung Le , Thommen Karimpanal George , Sunil Gupta , Santu Rana , Svetha Venkatesh

Traditional methods for spatial inference estimate smooth interpolating fields based on features measured at well-located points. When the spatial locations of some observations are missing, joint inference of the fields and locations is…

Inference on the parametric part of a semiparametric model is no trivial task. If one approximates the infinite dimensional part of the semiparametric model by a parametric function, one obtains a parametric model that is in some sense…

Statistics Theory · Mathematics 2025-09-23 Adam Lee , Emil A. Stoltenberg , Per A. Mykland

Parameter estimation via M- and Z-estimation is equally powerful in semiparametric models for one-dimensional functionals due to a one-to-one relation between corresponding loss and identification functions via integration and…

Statistics Theory · Mathematics 2022-09-07 Timo Dimitriadis , Tobias Fissler , Johanna Ziegel

Functional linear regression has recently attracted considerable interest. Many works focus on asymptotic inference. In this paper we consider in a non asymptotic framework a simple estimation procedure based on functional Principal…

Statistics Theory · Mathematics 2013-01-16 Elodie Brunel , André Mas , Angelina Roche

In this paper we propose a semiparametric spatial autoregressive model that combines a linear covariate component with a nonparametrically estimated spatial term, allowing flexible dependence modeling without restrictive covariance…

Methodology · Statistics 2026-04-30 Rodrigo García Arancibia , Pamela Llop , Mariel Lovatto

We consider the issue of assessing influence of observations in the class of Birnbaum-Saunders nonlinear regression models, which is useful in lifetime data analysis. Our results generalize those in Galea et al. [2004, Influence diagnostics…

Methodology · Statistics 2011-11-22 Artur J. Lemonte
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