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We consider a finite number of $N$ statistically equal agents, each moving on a finite set of states according to a continuous-time Markov Decision Process (MDP). Transition intensities of the agents and generated rewards depend not only on…

概率论 · 数学 2025-09-23 Nicole Bäuerle , Sebastian Höfer

We describe an approach for identifying groups of dynamically similar locations in spatial time-series data based on a simple Markov transition model. We give maximum-likelihood, empirical Bayes, and fully Bayesian formulations of the…

定量方法 · 定量生物学 2013-06-24 Edward B. Baskerville , Trevor Bedford , Robert C. Reiner , Mercedes Pascual

This paper introduces a novel spatial interaction model to explore the decision-making processes of a resource allocator and local agents, with central and local governments serving as empirical representations. The model captures two key…

计量经济学 · 经济学 2025-07-02 Hanbat Jeong

We study off-policy evaluation and learning from sequential data in a structured class of Markov decision processes that arise from repeated interactions with an exogenous sequence of arrivals with contexts, which generate unknown…

机器学习 · 计算机科学 2021-10-20 Nathan Kallus , Angela Zhou

We propose a novel measure valued process which models the behaviour of chemical reaction networks in spatially heterogeneous systems. It models reaction dynamics between different molecular species and continuous movement of molecules in…

概率论 · 数学 2022-01-12 Lea Popovic , Amandine Veber

In recent years, there has been an increased need for the use of active systems - systems required to act automatically based on events, or changes in the environment. Such systems span many areas, from active databases to applications that…

人工智能 · 计算机科学 2012-07-09 Segev Wasserkrug , Avigdor Gal , Opher Etzion

We consider the problem of performing parameter and state inference in a state-space model (SSM) parametrized by a static parameter $\theta$. A popular idea to address this problem consists of incorporating $\theta$ in the state of the…

统计理论 · 数学 2025-06-10 Yuan Chen , Mathieu Gerber , Christophe Andrieu , Randal Douc

The identification and modeling of time-varying systems is a fundamental challenge in signal processing and system identification. To address this challenge, we propose a class of time-varying state-space model (SSM) based neural networks…

机器学习 · 计算机科学 2026-05-18 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

Dynamical models underpin our ability to understand and predict the behavior of natural systems. Whether dynamical models are developed from first-principles derivations or from observational data, they are predicated on our choice of state…

机器学习 · 计算机科学 2023-01-11 Daniel Floryan , Michael D. Graham

A stochastic model for a mobile network is studied. Users enter the network, and then perform independent Markovian routes between nodes where they receive service according to the Processor-Sharing policy. Once their service requirement is…

概率论 · 数学 2010-01-14 Florian Simatos , Danielle Tibi

The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics the models take into account, namely a network structure of…

偏微分方程分析 · 数学 2020-06-30 Martin Burger

We consider in discrete time, a general class of sequential stochastic dynamic games with asymmetric information with the following features. The underlying system has Markovian dynamics controlled by the agents' joint actions. Each agent's…

多智能体系统 · 计算机科学 2023-01-16 Yi Ouyang , Hamidreza Tavafoghi , Demosthenis Teneketzis

In this paper we investigate multi-agent discrete-event systems with partial observation. The agents can be divided into several groups in each of which the agents have similar (isomorphic) state transition structures, and thus can be…

系统与控制 · 电气工程与系统科学 2021-03-22 Yingying Liu , Jan Komenda , Zhiwu Li

Agent-based modeling is a powerful simulation technique to understand the collective behavior and microscopic interaction in complex financial systems. Recently, the concept for determining the key parameters of the agent-based models from…

统计金融 · 定量金融 2017-03-21 T. T. Chen , B. Zheng , Y. Li , X. F. Jiang

We employ an agent-based model for cultural dynamics to investigate the effects of spatial heterogeneities on the collective behavior of a social system. We introduce heterogeneity as a random distribution of defects or imperfections in a…

物理与社会 · 物理学 2021-02-03 M. G. Cosenza , O. Alvarez-Llamoza , C. Echeverría , K. Tucci

Evolutionary science provides evidence that diversity confers resilience in natural systems. Yet, traditional multi-agent reinforcement learning techniques commonly enforce homogeneity to increase training sample efficiency. When a system…

多智能体系统 · 计算机科学 2024-09-11 Matteo Bettini , Ajay Shankar , Amanda Prorok

The study of animal movement is challenging because it is a process modulated by many factors acting at different spatial and temporal scales. Several models have been proposed which differ primarily in the temporal conceptualization,…

统计方法学 · 统计学 2019-07-25 Sofia Ruiz-Suarez , Vianey Leos-Barajas , Ignacio Alvarez-Castro , Juan M. Morales

Variational inference has had great success in scaling approximate Bayesian inference to big data by exploiting mini-batch training. To date, however, this strategy has been most applicable to models of independent data. We propose an…

机器学习 · 统计学 2021-05-19 Tom Ryder , Dennis Prangle , Andrew Golightly , Isaac Matthews

There exists a wide variety of works on the dynamics of large populations ranging from simple heuristic modeling to those based on advanced computer supported methods. Their interconnections, however, remain mostly vague, which…

动力系统 · 数学 2023-04-27 Yuri Kozitsky , Krzysztof Pilorz

Experiments in predator-prey systems show the emergence of long-term cycles. Deterministic model typically fails in capturing these behaviors, which emerge from the microscopic interplay of individual based dynamics and stochastic effects.…

数值分析 · 数学 2022-03-03 Giacomo Albi , Roberto Chignola , Federica Ferrarese