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In modern multiple hypothesis testing, the availability of covariate information alongside the primary test statistics has motivated the development of more powerful and adaptive inference methods. However, most existing approaches rely on…

Methodology · Statistics 2025-11-20 Taehyoung Kim , Seohwa Hwang , Junyong Park

Due to domain shift, a large performance drop is usually observed when a trained crowd counting model is deployed in the wild. While existing domain-adaptive crowd counting methods achieve promising results, they typically regard each crowd…

Computer Vision and Pattern Recognition · Computer Science 2023-04-03 Yongtuo Liu , Dan Xu , Sucheng Ren , Hanjie Wu , Hongmin Cai , Shengfeng He

Aspects of Density Functional Resonance Theory (DFRT) [Phys. Rev. Lett. \textbf{107}, 163002 (2011)], a recently developed complex-scaled version of ground-state Density Functional Theory (DFT), are studied in detail. The asymptotic…

Quantum Physics · Physics 2015-06-04 Daniel L. Whitenack , Adam Wasserman

Density functional theory (DFT), the most widely adopted method in modern computational chemistry, fails to describe accurately the electronic structure of strongly correlated systems. Here we show that DFT can be formally and practically…

Chemical Physics · Physics 2022-04-18 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

Distributionally robust optimization (DRO) has been introduced for solving stochastic programs where the distribution of the random parameters is unknown and must be estimated by samples from that distribution. A key element of DRO is the…

Optimization and Control · Mathematics 2019-01-09 Xi Chen , Qihang Lin , Guanglin Xu

A distribution system can flexibly adjust its substation-level power output by aggregating its local distributed energy resources (DERs). Due to DER and network constraints, characterizing the exact feasible power output region is…

Optimization and Control · Mathematics 2023-10-10 Qi Li , Jianzhe Liu , Bai Cui , Wenzhan Song , Jin Ye

A common approach to synthetic data is to sample from a fitted model. We show that under general assumptions, this approach results in a sample with inefficient estimators and whose joint distribution is inconsistent with the true…

Statistics Theory · Mathematics 2026-02-18 Jordan Awan , Zhanrui Cai

Remote sensing lightweight foundation models have achieved notable success in online perception within remote sensing. However, their capabilities are restricted to performing online inference solely based on their own observations and…

Computer Vision and Pattern Recognition · Computer Science 2024-06-12 Zhechao Wang , Peirui Cheng , Pengju Tian , Yuchao Wang , Mingxin Chen , Shujing Duan , Zhirui Wang , Xinming Li , Xian Sun

Inverse reinforcement learning (IRL) and dynamic discrete choice (DDC) models explain sequential decision-making by recovering reward functions that rationalize observed behavior. Flexible IRL methods typically rely on machine learning but…

Machine Learning · Computer Science 2026-01-01 Lars van der Laan , Aurelien Bibaut , Nathan Kallus

We introduce a new approach to probabilistic unsupervised learning based on the recognition-parametrised model (RPM): a normalised semi-parametric hypothesis class for joint distributions over observed and latent variables. Under the key…

Machine Learning · Computer Science 2023-04-21 William I. Walker , Hugo Soulat , Changmin Yu , Maneesh Sahani

Single Domain Generalization (SDG) aims to train models that maintain consistent performance across diverse scenarios using data from a single source. While latent diffusion models (LDMs) show promise for augmenting limited source data, our…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Hao Li , Yubin Xiao , Ke Liang , Mengzhu Wang , Long Lan , Kenli Li , Xinwang Liu

For a variant of the algorithm in [Pit19] (arXiv:1903.10816) to compute the approximate density or distribution function of a linear mixture of independent random variables known by a finite sample, it is presented a proof of the functional…

Statistics Theory · Mathematics 2019-06-19 Thomas Pitschel

In high-dimensional problems, choosing a prior distribution such that the corresponding posterior has desirable practical and theoretical properties can be challenging. This begs the question: can the data be used to help choose a good…

Statistics Theory · Mathematics 2019-09-25 Ryan Martin , Stephen G. Walker

A number of distributions that arise in statistical applications can be expressed in the form of a weighted density: the product of a base density and a nonnegative weight function. Generating variates from such a distribution may be…

Methodology · Statistics 2025-03-18 Andrew M. Raim , James A. Livsey , Kyle M. Irimata

Machine-learned regression models represent a promising tool to implement accurate and computationally affordable energy-density functionals to solve quantum many-body problems via density functional theory. However, while they can easily…

Computational Physics · Physics 2022-11-08 Emanuele Costa , Giuseppe Scriva , Rosario Fazio , Sebastiano Pilati

Functional data play a pivotal role across science and engineering, yet their infinite-dimensional nature makes representation learning challenging. Conventional statistical models depend on pre-chosen basis expansions or kernels, limiting…

Machine Learning · Computer Science 2025-10-02 Yifei Gao , Yong Chen , Chen Zhang

This paper investigates the problem of making inference about a parametric model for the regression of an outcome variable $Y$ on covariates $(V,L)$ when data are fused from two separate sources, one which contains information only on $(V,…

Methodology · Statistics 2020-12-15 Katherine Evans , BaoLuo Sun , James Robins , Eric J. Tchetgen Tchetgen

Consider a scenario where we have access to train data with both covariates and outcomes while test data only contains covariates. In this scenario, our primary aim is to predict the missing outcomes of the test data. With this objective in…

Methodology · Statistics 2024-10-29 Masahiro Kato , Kota Matsui , Ryo Inokuchi

Functional connectivity (FC) is one of the most common inputs to fMRI-based predictive models, due to a combination of its simplicity and robustness. However, there may be a lack of theoretical models for the generation of FC. In this work,…

Neurons and Cognition · Quantitative Biology 2023-05-19 Anton Orlichenko , Gang Qu , Ziyu Zhou , Zhengming Ding , Yu-Ping Wang

Analyzing longitudinal data in health studies is challenging due to sparse and error-prone measurements, strong within-individual correlation, missing data and various trajectory shapes. While mixed-effect models (MM) effectively address…

Methodology · Statistics 2024-07-11 Corentin Ségalas , Catherine Helmer , Robin Genuer , Cécile Proust-Lima