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We contribute the first provable guarantees of global convergence to Nash equilibria (NE) in two-player zero-sum convex Markov games (cMGs) by using independent policy gradient methods. Convex Markov games, recently defined by Gemp et al.…

Computer Science and Game Theory · Computer Science 2025-06-23 Fivos Kalogiannis , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Ian Gemp , Georgios Piliouras

A minimal requirement for simulating multi-scale systems is to reproduce the statistical behavior of the slow variables. In particular, a good numerical method should accurately aproximate the probability density function of the…

Dynamical Systems · Mathematics 2018-04-13 J. Frank , G. A. Gottwald

Nonlinear Mixed effects models are hidden variables models that are widely used in many fields such as pharmacometrics. In such models, the distribution characteristics of hidden variables can be specified by including several parameters…

Methodology · Statistics 2021-10-19 Edouard Ollier

Application of discrete-time survival methods for continuous-time survival prediction is considered. For this purpose, a scheme for discretization of continuous-time data is proposed by considering the quantiles of the estimated event-time…

Machine Learning · Statistics 2019-10-16 Håvard Kvamme , Ørnulf Borgan

Dynamic games arise when multiple agents with differing objectives choose control inputs to a dynamic system. Dynamic games model a wide variety of applications in economics, defense, and energy systems. However, compared to single-agent…

Optimization and Control · Mathematics 2018-09-25 Bolei Di , Andrew Lamperski

This paper introduces a high-dimensional binary variate model that accommodates nonstationary covariates and factors, and studies their asymptotic theory. This framework encompasses scenarios where single indices are nonstationary or…

Statistics Theory · Mathematics 2025-05-29 Xinbing Kong , Bin Wu , Wuyi Ye

Existing identification and estimation methods for semiparametric sample selection models rely heavily on exclusion restrictions. However, it is difficult in practice to find a credible excluded variable that has a correlation with…

Econometrics · Economics 2024-12-03 Zhewen Pan , Yifan Zhang

Selecting important spatial-dependent variables under the nonhomogeneous spatial Poisson process model is an important topic of great current interest. In this paper, we use the Deviance Information Criterion (DIC) and Logarithm of the…

Applications · Statistics 2019-10-16 Guanyu Hu , Fred Huffer , Ming-Hui Chen

A major challenge in multi-agent systems is that the system complexity grows dramatically with the number of agents as well as the size of their action spaces, which is typical in real world scenarios such as autonomous vehicles, robotic…

Optimization and Control · Mathematics 2022-08-31 Shicong Cen , Fan Chen , Yuejie Chi

Systems of competing agents can often be modeled as games. Assuming rationality, the most likely outcomes are given by an equilibrium (e.g. a Nash equilibrium). In many practical settings, games are influenced by context, i.e. additional…

Machine Learning · Computer Science 2024-06-13 Daniel McKenzie , Howard Heaton , Qiuwei Li , Samy Wu Fung , Stanley Osher , Wotao Yin

The utility of learning a dynamics/world model of the environment in reinforcement learning has been shown in a many ways. When using neural networks, however, these models suffer catastrophic forgetting when learned in a lifelong or…

Machine Learning · Computer Science 2019-06-12 Nicholas Ketz , Soheil Kolouri , Praveen Pilly

Given a discounted cost, we study deterministic discrete-time systems whose inputs are generated by policy iteration (PI). We provide novel near-optimality and stability properties, while allowing for non stabilizing initial policies. That…

Optimization and Control · Mathematics 2024-03-29 Jonathan de Brusse , Mathieu Granzotto , Romain Postoyan , Dragan Nešić

This paper focuses on quantifying and estimating the predictive accuracy of prognostic models for time-to-event outcomes with competing events. We consider the time-dependent discrimination and calibration metrics, including the receiver…

Methodology · Statistics 2017-07-14 Cai Wu , Liang Li

In this paper, a hierarchical one-leader-multi-followers game for a class of continuous-time nonlinear systems with disturbance is investigated by a novel policy iteration reinforcement learning technique in which, the game model consists…

Systems and Control · Electrical Eng. & Systems 2019-07-29 Mohammad reza Satouri , Hamed Kebriaei , Abolhassan Razminia , Mohammad javad Yazdanpanah

In this manuscript, we consider a finite multivariate nonparametric mixture model where the dependence between the marginal densities is modeled using the copula device. Pseudo EM stochastic algorithms were recently proposed to estimate all…

Computation · Statistics 2022-12-14 Michael Levine , Gildas Mazo

In making inference on the relation between failure and exposure histories in the Cox semiparametric model, the maximum partial likelihood estimator (MPLE) of the finite dimensional odds parameter, and the Breslow estimator of the baseline…

Statistics Theory · Mathematics 2009-06-12 Larry Goldstein , Haimeng Zhang

Motivated by various computational applications, we investigate the problem of estimating nested expectations. Building upon recent work by the authors, we propose a novel Monte Carlo estimator for nested expectations, inspired by sparse…

Numerical Analysis · Mathematics 2023-06-08 Tomohiko Hironaka , Takashi Goda

We propose sequential Monte Carlo based algorithms for maximum likelihood estimation of the static parameters in hidden Markov models with an intractable likelihood using ideas from approximate Bayesian computation. The static parameter…

Computation · Statistics 2013-11-19 Sinan Yildirim , Sumeetpal Singh , Thomas Dean , Ajay Jasra

In this article, we consider computing expectations w.r.t. probability measures which are subject to discretization error. Examples include partially observed diffusion processes or inverse problems, where one may have to discretize time…

Computation · Statistics 2021-02-25 Jeremy Heng , Ajay Jasra , Kody J. H. Law , Alexander Tarakanov

In this paper, different strands of literature are combined in order to obtain algorithms for semi-parametric estimation of discrete choice models that include the modelling of unobserved heterogeneity by using mixing distributions for the…

Methodology · Statistics 2022-12-12 Dietmar Bauer , Sebastian Büscher , Manuel Batram