Papers › Bellman Meets Hawkes: Model-Based Reinforcement Learning via Temporal Point Processes

Bellman Meets Hawkes: Model-Based Reinforcement Learning via Temporal Point Processes

29 Jan 2022arXiv:2201.12569archive 2025-07-28

Chao Qu, Xiaoyu Tan, Siqiao Xue, Xiaoming Shi, James Zhang, Hongyuan Mei

We consider a sequential decision making problem where the agent faces the environment characterized by the stochastic discrete events and seeks an optimal intervention policy such that its long-term reward is maximized. This problem exists ubiquitously in social media, finance and health informatics but is rarely investigated by the conventional research in reinforcement learning. To this end, we present a novel framework of the model-based reinforcement learning where the agent's actions and observations are asynchronous stochastic discrete events occurring in continuous-time. We model the dynamics of the environment by Hawkes process with external intervention control term and develop an algorithm to embed such process in the Bellman equation which guides the direction of the value gradient. We demonstrate the superiority of our method in both synthetic simulator and real-world problem.

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Decision MakingModel-based Reinforcement LearningPoint ProcessesReinforcement LearningReinforcement Learning (RL)Sequential Decision Makingreinforcement-learning

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