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We consider the problem of bandwidth selection by cross-validation from a sequential point of view in a nonparametric regression model. Having in mind that in applications one often aims at estimation, prediction and change detection…

Statistics Theory · Mathematics 2018-03-20 Ansgar Steland

When evaluating the impact of a policy on a metric of interest, it may not be possible to conduct a randomized control trial. In settings where only observational data is available, Synthetic Control (SC) methods provide a popular…

Methodology · Statistics 2019-09-24 Muhummad Amjad , Vishal Misra , Devavrat Shah , Dennis Shen

Bridging the gap between internal and external validity is crucial for heterogeneous treatment effect estimation. Randomised controlled trials (RCTs), favoured for their internal validity due to randomisation, often encounter challenges in…

Conditional Value-at-Risk (CVaR) is a central tail-risk measure in stochastic structural mechanics, yet its accurate evaluation under high-dimensional, spatially correlated material uncertainty remains computationally prohibitive for…

Machine Learning · Statistics 2026-02-11 Alireza Tabarraei

Many versions of cross-validation (CV) exist in the literature; and each version though has different variants. All are used interchangeably by many practitioners; yet, without explanation to the connection or difference among them. This…

Machine Learning · Statistics 2022-05-31 Waleed A. Yousef

This paper addresses the key challenge of estimating the asymptotic covariance associated with the Markov chain central limit theorem, which is essential for visualizing and terminating Markov Chain Monte Carlo (MCMC) simulations. We focus…

Computation · Statistics 2024-08-29 James M. Flegal , Rebecca P. Kurtz-Garcia

In clinical and biomedical research, multiple high-dimensional datasets are nowadays routinely collected from omics and imaging devices. Multivariate methods, such as Canonical Correlation Analysis (CCA), integrate two (or more) datasets to…

Methodology · Statistics 2025-03-20 Nuria Senar , Mark van de Wiel , Aeilko Zwinderman , Michel Hof

Importance sampling (IS) is commonly used for cross validation (CV) in Bayesian models, because it only involves reweighting existing posterior draws without needing to re-estimate the model by re-running Markov chain Monte Carlo (MCMC).…

Computation · Statistics 2025-08-12 Geonhee Han , Andrew Gelman

As an elaboration of the analytic approach to Quantum Chromodynamics (QCD), a new model for the QCD analytic running coupling is proposed. A self-evident advantage of the new analytic running coupling (NARC) is that it incorporates the…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Nesterenko

Brute force cross-validation (CV) is a method for predictive assessment and model selection that is general and applicable to a wide range of Bayesian models. Naive or `brute force' CV approaches are often too computationally costly for…

Methodology · Statistics 2024-01-17 Alex Cooper , Aki Vehtari , Catherine Forbes , Lauren Kennedy , Dan Simpson

We review recent advances in the capabilities of the open source ab initio Quantum Monte Carlo (QMC) package QMCPACK and the workflow tool Nexus used for greater efficiency and reproducibility. The auxiliary field QMC (AFQMC) implementation…

In fields such as sociology, political science, public administration, and business management, particularly in the direction of international relations, Qualitative Comparative Analysis (QCA) has been widely adopted as a research method.…

Methodology · Statistics 2024-10-29 Manqing Fu

Quantifying similarity between population spike patterns is essential for understanding how neural dynamics encode information. Traditional approaches, which combine kernel smoothing, PCA, and CCA, have limitations: smoothing kernel…

Neurons and Cognition · Quantitative Biology 2025-05-21 Xiang Zhang , Chenlin Xu , Zhouxiao Lu , Haonan Wang , Dong Song

Satisfiability Modulo Counting (SMC) is a recently proposed general language to reason about problems integrating statistical and symbolic Artificial Intelligence. An SMC problem is an extended SAT problem in which the truth values of a few…

Artificial Intelligence · Computer Science 2025-06-19 Jinzhao Li , Nan Jiang , Yexiang Xue

We introduce a novel cross-validation method that we call latinCV and we compare this method to other model selection methods using data generated from a stochastic block model. Comparing latinCV to other cross-validation methods, we show…

Methodology · Statistics 2016-05-11 Beau Dabbs , Brian Junker

Sequential Monte Carlo (SMC) methods offer a principled approach to Bayesian uncertainty quantification but are traditionally limited by the need for full-batch gradient evaluations. We introduce a scalable variant by incorporating…

Machine Learning · Statistics 2025-05-20 Andrew Millard , Zheng Zhao , Joshua Murphy , Simon Maskell

This paper offers a survey of uppaalsmc, a major extension of the real-time verification tool uppaal. uppaalsmc allows for the efficient analysis of performance properties of networks of priced timed automata under a natural stochastic…

Logic in Computer Science · Computer Science 2012-07-06 Peter Bulychev , Alexandre David , Kim Gulstrand Larsen , Marius Mikučionis , Danny Bøgsted Poulsen , Axel Legay , Zheng Wang

Scientific computing has long relied on double precision (64-bit floating point) arithmetic to guarantee accuracy in simulations of real-world phenomena. However, the growing availability of hardware accelerators such as Graphics Processing…

Quantum Physics · Physics 2026-01-29 Massimo Solinas , Agnes Valenti , Nawaf Bou-Rabee , Roeland Wiersema

Reliable simulations of correlated quantum systems, including high-temperature superconductors and frustrated magnets, are increasingly desired nowadays to further understanding of essential features in such systems. Quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2019-03-28 Zi-Xiang Li , Hong Yao

Monte Carlo experiments produce samples in order to estimate features of a given distribution. However, simultaneous estimation of means and quantiles has received little attention, despite being common practice. In this setting we…

Computation · Statistics 2020-04-24 Nathan Robertson , James M. Flegal , Dootika Vats , Galin L. Jones
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