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The sustainable management of common resources often leads to a social dilemma known as the tragedy of the commons: individuals benefit from rapid extraction of resources, while communities as a whole benefit from more sustainable…

Populations and Evolution · Quantitative Biology 2025-02-11 Tianyong Yao , Daniel B. Cooney

We propose Deterministic Sequencing of Exploration and Exploitation (DSEE) algorithm with interleaving exploration and exploitation epochs for model-based RL problems that aim to simultaneously learn the system model, i.e., a Markov…

Machine Learning · Computer Science 2022-12-21 Piyush Gupta , Vaibhav Srivastava

Stochastic differential equations (SDEs) are popular tools to analyse time series data in many areas, such as mathematical finance, physics, and biology. They provide a mechanistic description of the phenomeon of interest, and their…

Methodology · Statistics 2021-02-01 Théo Michelot , Richard Glennie , Catriona Harris , Len Thomas

Leader-follower general-sum stochastic games (LF-GSSGs) model sequential decision-making under asymmetric commitment, where a leader commits to a policy and a follower best responds, yielding a strong Stackelberg equilibrium (SSE) with…

Computer Science and Game Theory · Computer Science 2025-12-08 Jilles Steeve Dibangoye , Thibaut Le Marre , Ocan Sankur , François Schwarzentruber

This work presents a stochastic dynamic programming (SDP) algorithm that aims at minimizing an economic criteria based on the total energy consumption of a range extender electric vehicle (REEV). This algorithm integrates information from…

Optimization and Control · Mathematics 2016-11-18 K. Aouchiche , J. Frederic Bonnans , Giovanni Granato , Hasnaa Zidani

We investigate neural ordinary and stochastic differential equations (neural ODEs and SDEs) to model stochastic dynamics in fully and partially observed environments within a model-based reinforcement learning (RL) framework. Through a…

Machine Learning · Computer Science 2026-03-25 Chao Han , Stefanos Ioannou , Luca Manneschi , T. J. Hayward , Michael Mangan , Aditya Gilra , Eleni Vasilaki

Solving the Goal-Conditioned Reward Sparse (GCRS) task is a challenging reinforcement learning problem due to the sparsity of reward signals. In this work, we propose a new formulation of GCRS tasks from the perspective of the drifted…

Machine Learning · Computer Science 2020-05-01 Hao Sun , Xinyu Pan , Bo Dai , Dahua Lin , Bolei Zhou

Conservation science depends on an accurate understanding of what's happening in a given ecosystem. How many species live there? What is the makeup of the population? How is that changing over time? Species Distribution Modeling (SDM) seeks…

Machine Learning · Computer Science 2021-07-23 Sara Beery , Elijah Cole , Joseph Parker , Pietro Perona , Kevin Winner

This paper presents a system of stochastic differential equations (SDEs) as mathematical model to describe the spatial-temporal dynamics of predator-prey system in an artificial aquatic environment with schooling behavior imposed upon the…

Dynamical Systems · Mathematics 2022-10-11 Aditya Dewanto Hartono , Linh Thi Hoai Nguyen , Ton Viet Ta

The (R, s, S) is a stochastic inventory control policy widely used by practitioners. In an inventory system managed according to this policy, the inventory is reviewed at instant R; if the observed inventory position is lower than the…

Optimization and Control · Mathematics 2023-09-26 Andrea Visentin , Steven Prestwich , Roberto Rossi , S. Armagan Tarim

Autonomous agents are limited in their ability to observe the world state. Partially observable Markov decision processes (POMDPs) formally model the problem of planning under world state uncertainty, but POMDPs with continuous actions and…

Robotics · Computer Science 2020-07-08 Dicong Qiu , Yibiao Zhao , Chris L. Baker

In this study, we investigate the application of Semidefinite Programming (SDP) to phylogenetics. SDP is a powerful optimization framework that seeks to optimize a linear objective function over the cone of positive semidefinite matrices.…

Populations and Evolution · Quantitative Biology 2026-04-15 P. Skums

In this work, we study the optimization problem of a renewable resource in finite time. The resource is assumed to evolve according to a logistic stochastic differential equation. The manager may harvest partially the resource at any time…

Optimization and Control · Mathematics 2018-07-12 Thomas Lim , Idris Kharroubi , Vathana Ly-Vath

Multistage stochastic programming deals with operational and planning problems that involve a sequence of decisions over time while responding to realizations that are uncertain. Algorithms designed to address multistage stochastic linear…

Optimization and Control · Mathematics 2020-10-26 Harsha Gangammanavar , Suvrajeet Sen

We present a new solution concept called evolutionarily stable Stackelberg equilibrium (SESS). We study the Stackelberg evolutionary game setting in which there is a single leading player and a symmetric population of followers. The leader…

Computer Science and Game Theory · Computer Science 2026-03-26 Sam Ganzfried

Stochastic dual dynamic programming (SDDP) is a state-of-the-art method for solving multi-stage stochastic optimization, widely used for modeling real-world process optimization tasks. Unfortunately, SDDP has a worst-case complexity that…

Machine Learning · Computer Science 2021-12-03 Hanjun Dai , Yuan Xue , Zia Syed , Dale Schuurmans , Bo Dai

Game Theory has been frequently applied in biological research since 1970s. While the key idea of Game Theory is Nash Equilibrium, it is critical to understand and figure out the payoff matrix in order to calculate Nash Equilibrium. In this…

Populations and Evolution · Quantitative Biology 2009-04-29 Chen Shi , Fang Yuan

This article shows how to specify and construct a discrete, stochastic, continuous-time model specifically for ecological systems. The model is more broad than typical chemical kinetics models in two ways. First, using time-dependent hazard…

Populations and Evolution · Quantitative Biology 2015-06-30 Andrew J. Dolgert

Smart metering infrastructure allows for two-way communication and power transfer. Based on this promising technology, we propose a demand-side management (DSM) scheme for a residential neighbourhood of prosumers. Its core is a discrete…

Computer Science and Game Theory · Computer Science 2018-07-24 Matthias Pilz , Luluwah Al-Fagih

Stochastic differential equations (SDEs) are established tools to model physical phenomena whose dynamics are affected by random noise. By estimating parameters of an SDE intrinsic randomness of a system around its drift can be identified…

Computation · Statistics 2012-05-03 Umberto Picchini , Susanne Ditlevsen
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