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The probability distribution (PD) of spin configurations in kinetic Ising models has been cast in the form of the canonical Boltzmann PD with a time-dependent effective Hamiltonian (EH). It has been argued that in systems with extensive…

Statistical Mechanics · Physics 2025-06-10 V. I. Tokar

Variability of motility behavior in populations of microbiological agents is a ubiquitous phenomenon even in the case of genetically identical cells. Accordingly, passive objects introduced into such biological systems and driven by them…

Soft Condensed Matter · Physics 2026-02-04 Jan Albrecht , Lara S. Dautzenberg , Manfred Opper , Carsten Beta , Robert Großmann

Model-based reinforcement learning promises strong sample efficiency but often underperforms in practice due to compounding model error, unimodal world models that average over multi-modal dynamics, and overconfident predictions that bias…

Machine Learning · Computer Science 2026-04-07 Mehran Aghabozorgi , Alireza Moazeni , Yanshu Zhang , Ke Li

For time-to-event data with finitely many competing risks, the proportional hazards model has been a popular tool for relating the cause-specific outcomes to covariates [Prentice et al. Biometrics 34 (1978) 541--554]. This article studies…

Statistics Theory · Mathematics 2009-03-04 Yanqing Sun , Peter B. Gilbert , Ian W. McKeague

Tailoring treatments to individual needs is a central goal in fields such as medicine. A key step toward this goal is estimating Heterogeneous Treatment Effects (HTE) - the way treatments impact different subgroups. While crucial, HTE…

Machine Learning · Statistics 2025-07-30 Tomer Meir , Uri Shalit , Malka Gorfine

Most statistical software packages implement numerical strategies for computation of maximum likelihood estimates in random effects models. Little is known, however, about the algebraic complexity of this problem. For the one-way layout…

Statistics Theory · Mathematics 2013-05-07 Elizabeth Gross , Mathias Drton , Sonja Petrović

We give an overview of statistical models and likelihood, together with two of its variants: penalized and hierarchical likelihood. The Kullback-Leibler divergence is referred to repeatedly, for defining the misspecification risk of a…

Statistics Theory · Mathematics 2008-09-01 Daniel Commenges

There is growing interest in a hybrid control design for treatment evaluation, where a randomized controlled trial is augmented with external control data from a previous trial or a real world data source. The hybrid control design has the…

Methodology · Statistics 2026-05-06 Zhiwei Zhang , Peisong Han , Wei Zhang

Relative error approaches are more of concern compared to absolute error ones such as the least square and least absolute deviation, when it needs scale invariant of output variable, for example with analyzing stock and survival data. An…

Methodology · Statistics 2017-04-21 Zhanfeng Wang , Zhuojian Chen , Zimu Chen

Quantifying the heterogeneity of treatment effect is important for understanding how a commercial product or medical treatment affects different population subgroups. While much of treatment effect heterogeneity analysis focuses on the…

Estimating the causal effect of an exposure on an outcome is an important task in many economical and biological studies. Mendelian randomization, in particular, uses genetic variants as instruments to estimate causal effects in…

Methodology · Statistics 2017-06-06 Sai Li

Meta-analysis represents a widely accepted approach for evaluating the accuracy of diagnostic tools in clinical and psychological investigations. This paper investigates the applicability of multinomial tree models recently suggested in the…

Methodology · Statistics 2024-05-29 Annamaria Guolo

Epidemiological forecasting from surveillance data is a hard problem and hybridizing mechanistic compartmental models with neural models is a natural direction. The mechanistic structure helps keep trajectories epidemiologically plausible,…

Machine Learning · Computer Science 2026-02-09 Yiqi Su , Ray Lee , Jiaming Cui , Naren Ramakrishnan

Statistical inference on histograms and frequency counts plays a central role in categorical data analysis. Moving beyond classical methods that directly analyze labeled frequencies, we introduce a framework that models the multiset of…

Statistics Theory · Mathematics 2025-11-10 Yun Ma , Pengkun Yang

Predicting user influence in social networks is a critical problem, and hypergraphs, as a prevalent higher-order modeling approach, provide new perspectives for this task. However, the absence of explicit cascade or infection probability…

Social and Information Networks · Computer Science 2025-08-22 Su-Su Zhang , JinFeng Xie , Yang Chen , Min Gao , Cong Li , Chuang Liu , Xiu-Xiu Zhan

Mixed-effects quantile regression models are widely used to capture heterogeneous responses in hierarchically structured data. The asymmetric Laplace (AL) distribution has traditionally served as the basis for quantile regression; however,…

Methodology · Statistics 2025-06-24 Divan A. Burger , Sean van der Merwe , Emmanuel Lesaffre

The asymptotic variance of the maximum likelihood estimate is proved to decrease when the maximization is restricted to a subspace that contains the true parameter value. Maximum likelihood estimation allows a systematic fitting of…

Statistics Theory · Mathematics 2018-01-31 Marie Turčičová , Jan Mandel , Kryštof Eben

The marginal likelihood, or evidence, plays a central role in Bayesian model selection, yet remains notoriously challenging to compute in likelihood-free settings. While Simulation-Based Inference (SBI) techniques such as Sequential Neural…

Computation · Statistics 2025-07-14 Paul Bastide , Arnaud Estoup , Jean-Michel Marin , Julien Stoehr

The control of opportunistic infections among HIV infected individuals should be one of the major public health concerns in reducing mortality rate of individuals living with HIV/AIDS. In this study a deterministic co-infection mathematical…

Dynamical Systems · Mathematics 2024-08-02 Michael Byamukama , Damian Kajunguri , Martin Karuhanga

Missing data is a recurrent issue in epidemiology where the infection process may be partially observed. Approximate Bayesian Computation, an alternative to data imputation methods such as Markov Chain Monte Carlo integration, is proposed…

Applications · Statistics 2010-08-31 Michael G. B. Blum , Viet Chi Tran