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This article proposes an improved trajectory optimization approach for stochastic optimal control of dynamical systems affected by measurement noise by combining optimal control with maximum likelihood techniques to improve the reduction of…

系统与控制 · 电气工程与系统科学 2023-12-25 Prakash Mallick , Zhiyong Chen

This paper analyzes and explicitly solves a class of long-term average impulse control problems and a related class of singular control problems. The underlying process is a general one-dimensional diffusion with appropriate boundary…

最优化与控制 · 数学 2026-05-05 K. L. Helmes , R. H. Stockbridge , C. Zhu

An enviromental-random effect over a deterministic population mo\-del, a resource ({\it e.g.}, a fish stock) is introduced. It is assumed that the harvest activity is concentrated at a non predetermined sequence of instants, at which the…

概率论 · 数学 2014-07-01 Ricardo Castro-Santis , Fernado Cordova , Walter Chambio

Literature is full of inference techniques developed to estimate the parameters of stochastic dynamical systems driven by the well-known Brownian noise. Such diffusion models are often inappropriate models to properly describe the dynamics…

动力系统 · 数学 2024-02-19 Babak M. S. Arani

Diffusion Policy has shown great performance in robotic manipulation tasks under stochastic perturbations, due to its ability to model multimodal action distributions. Nonetheless, its reliance on a computationally expensive reverse-time…

机器人学 · 计算机科学 2025-11-20 Gabriel Lauzier , Alexandre Girard , François Ferland

We analyze a bioeconomic model for optimal fishery harvesting in a spatially heterogeneous habitat comprising both harvestable and preservation (reserve) zones. The population dynamics are governed by a hybrid system coupling continuous…

动力系统 · 数学 2026-01-29 Dinesh Kumar

We analyze the optimal harvesting problem for an ecosystem of species that experience environmental stochasticity. Our work generalizes the current literature significantly by taking into account non-linear interactions between species,…

概率论 · 数学 2019-08-28 Alexandru Hening , Ky Quan Tran , Tien Trong Phan , George Yin

We consider a stochastic control model driven by a fractional Brownian motion. This model is a formal approximation to a queueing network with an on-off input process. We study stochastic control problems associated with the long-run…

概率论 · 数学 2008-08-12 Arka P. Ghosh , Alexander Roitershtein , Ananda Weerasinghe

This paper studies optimal control under the average-reward/cost criterion for deterministic linear systems. We derive the value function and optimal policy, and propose an approximate solution using Model Predictive Control to enable…

最优化与控制 · 数学 2025-07-08 Duc Cuong Nguyen

Modelling the transmission dynamics of an infectious disease is a complex task. Not only it is difficult to accurately model the inherent non-stationarity and heterogeneity of transmission, but it is nearly impossible to describe,…

统计计算 · 统计学 2023-07-19 Sanmitra Ghosh , Paul J. Birrell , Daniela De Angelis

1. The utilisation distribution describes the relative probability of use of a spatial unit by an animal. It is natural to think of it as the long-term consequence of the animal's short-term movement decisions: it is the accumulation of…

应用统计 · 统计学 2018-10-25 Théo Michelot , Marie-Pierre Etienne , Pierre Gloaguen

Recent developments in offline reinforcement learning have uncovered the immense potential of diffusion modeling, which excels at representing heterogeneous behavior policies. However, sampling from diffusion policies is considerably slow…

机器学习 · 计算机科学 2024-03-18 Huayu Chen , Cheng Lu , Zhengyi Wang , Hang Su , Jun Zhu

Many techniques originally developed in the context of deterministic control theory have been recently applied to the quest for optimal protocols in stochastic processes. Given a system subject to environmental fluctuations, one may ask…

In this work the problem of optimal harvesting policy selection for natural resources management under model uncertainty is investigated. Under the framework of the neoclassical growth model dynamics, the associated optimal control problem…

最优化与控制 · 数学 2023-10-24 Georgios I. Papayiannis

The note studies the problem of selecting a good enough subset out of a finite number of alternatives under a fixed simulation budget. Our work aims to maximize the posterior probability of correctly selecting a good subset. We formulate…

最优化与控制 · 数学 2023-05-09 Gongbo Zhang , Bin Chen , Qing-shan Jia , Yijie Peng

We study data-driven learning of robust stochastic control for infinite-horizon systems with potentially continuous state and action spaces. In many managerial settings--supply chains, finance, manufacturing, services, and dynamic…

机器学习 · 统计学 2025-11-18 Shengbo Wang , Jason Meng , Nian Si , Jose Blanchet , Zhengyuan Zhou

Manipulation of large objects over long horizons (such as carts in a warehouse) is an essential skill for deployable robotic systems. Large objects require mobile manipulation which involves simultaneous manipulation, navigation, and…

机器人学 · 计算机科学 2024-10-10 Yajvan Ravan , Zhutian Yang , Tao Chen , Tomás Lozano-Pérez , Leslie Pack Kaelbling

We study the problem of parameter estimation for the homogenization limit of multiscale systems involving fractional dynamics. In the case of stochastic multiscale systems driven by Brownian motion, it has been shown that in order for the…

An ongoing challenge in animal ecology is developing movement models that account for the autocorrelation, and often temporal irregularity, in telemetry data. Continuous-time Langevin diffusion models have been proposed to model temporally…

统计方法学 · 统计学 2026-05-18 Ron R. Togunov , S. Knutsen Furset , Martin E. Pettersen , Robert B. O'Hara

This paper establishes conditions for optimality of an $(s,S)$ ordering policy for the minimization of the long-term average cost of one-dimensional diffusion inventory models. The class of such models under consideration have general drift…

最优化与控制 · 数学 2015-10-23 K. L. Helmes , R. H. Stockbridge , C. Zhu