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Reinforcement learning (RL) has demonstrated impressive performance in decision-making tasks like embodied control, autonomous driving and financial trading. In many decision-making tasks, the agents often encounter the problem of executing…

Machine Learning · Computer Science 2024-07-23 Jing-Cheng Pang , Tian Xu , Shengyi Jiang , Yu-Ren Liu , Yang Yu

This paper proves the consistency property for the regularized maximum likelihood estimators (MLEs) of multivariate Hawkes processes (MHPs). It also develops an alternating minimization type algorithm (AA-iPALM) to compute the MLEs with…

Probability · Mathematics 2018-10-09 Xin Guo , Anran Hu , Renyuan Xu , Junzi Zhang

Execution algorithms are vital to modern trading, they enable market participants to execute large orders while minimising market impact and transaction costs. As these algorithms grow more sophisticated, optimising them becomes…

Computational Finance · Quantitative Finance 2025-10-28 Ollie Olby , Andreea Bacalum , Rory Baggott , Namid Stillman

In this paper, we study the cooperative Multi-Agent Reinforcement Learning (MARL) problems using Reward Machines (RMs) to specify the reward functions such that the prior knowledge of high-level events in a task can be leveraged to…

Artificial Intelligence · Computer Science 2024-03-13 Xuejing Zheng , Chao Yu

Building a good predictive model requires an array of activities such as data imputation, feature transformations, estimator selection, hyper-parameter search and ensemble construction. Given the large, complex and heterogenous space of…

Machine Learning · Computer Science 2019-03-06 Udayan Khurana , Horst Samulowitz

Active reinforcement learning (ARL) is a variant on reinforcement learning where the agent does not observe the reward unless it chooses to pay a query cost c > 0. The central question of ARL is how to quantify the long-term value of reward…

Machine Learning · Computer Science 2020-11-26 David Krueger , Jan Leike , Owain Evans , John Salvatier

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…

Machine Learning · Computer Science 2022-12-29 Chao Qu , Xiaoyu Tan , Siqiao Xue , Xiaoming Shi , James Zhang , Hongyuan Mei

Deploying controllers trained with Reinforcement Learning (RL) on real robots can be challenging: RL relies on agents' policies being modeled as Markov Decision Processes (MDPs), which assume an inherently discrete passage of time. The use…

Robotics · Computer Science 2024-04-03 Dong Wang , Giovanni Beltrame

Optimal decision making with limited or no information in stochastic environments where multiple agents interact is a challenging topic in the realm of artificial intelligence. Reinforcement learning (RL) is a popular approach for arriving…

Machine Learning · Computer Science 2019-01-08 Roi Ceren

Hawkes process provides an effective statistical framework for analyzing the time-dependent interaction of neuronal spiking activities. Although utilized in many real applications, the classic Hawkes process is incapable of modelling…

Machine Learning · Statistics 2021-02-23 Feng Zhou , Yixuan Zhang , Jun Zhu

Multi-agent reinforcement learning (MARl) has achieved strong results in cooperative tasks but typically assumes fixed, fully controlled teams. Ad hoc teamwork (AHT) relaxes this by allowing collaboration with unknown partners, yet existing…

Multiagent Systems · Computer Science 2025-10-30 Beiwen Zhang , Yongheng Liang , Hejun Wu

Inferring reward functions from demonstrations is a key challenge in reinforcement learning (RL), particularly in multi-agent RL (MARL), where large joint state-action spaces and complex inter-agent interactions complicate the task. While…

Machine Learning · Computer Science 2025-02-03 The Viet Bui , Tien Mai , Hong Thanh Nguyen

The extent to which a matching engine can cloud the modelling of underlying order submission and management processes in a financial market remains an unanswered concern with regards to market models. Here we consider a 10-variate Hawkes…

Trading and Market Microstructure · Quantitative Finance 2021-08-18 Ivan Jericevich , Patrick Chang , Tim Gebbie

We propose a reinforcement learning (RL) framework under a broad class of risk objectives, characterized by convex scoring functions. This class covers many common risk measures, such as variance, Expected Shortfall, entropic Value-at-Risk,…

Mathematical Finance · Quantitative Finance 2025-05-16 Shanyu Han , Yang Liu , Xiang Yu

The subject of this paper is reinforcement learning. Policies are considered here that produce actions based on states and random elements autocorrelated in subsequent time instants. Consequently, an agent learns from experiments that are…

Machine Learning · Computer Science 2020-09-11 Marcin Szulc , Jakub Łyskawa , Paweł Wawrzyński

Before taking actions in an environment with more than one intelligent agent, an autonomous agent may benefit from reasoning about the other agents and utilizing a notion of a guarantee or confidence about the behavior of the system. In…

Machine Learning · Computer Science 2024-02-12 Nikunj Gupta , Somjit Nath , Samira Ebrahimi Kahou

Multi-agent reinforcement learning (MARL) extends (single-agent) reinforcement learning (RL) by introducing additional agents and (potentially) partial observability of the environment. Consequently, algorithms for solving MARL problems…

Multiagent Systems · Computer Science 2019-09-12 Yilun Zhou , Derrik E. Asher , Nicholas R. Waytowich , Julie A. Shah

Hawkes processes are often applied to model dependence and interaction phenomena in multivariate event data sets, such as neuronal spike trains, social interactions, and financial transactions. In the nonparametric setting, learning the…

Statistics Theory · Mathematics 2023-09-04 Deborah Sulem , Vincent Rivoirard , Judith Rousseau

We propose a novel adversarial learning strategy for mixture models of Hawkes processes, leveraging data augmentation techniques of Hawkes process in the framework of self-paced learning. Instead of learning a mixture model directly from a…

Machine Learning · Statistics 2019-06-21 Dixin Luo , Hongteng Xu , Lawrence Carin

We study a linear price impact model including other liquidity takers, whose flow of orders either follows a Poisson or a Hawkes process. The optimal execution problem is solved explicitly in this context, and the closed-formula optimal…

Trading and Market Microstructure · Quantitative Finance 2015-06-10 Aurélien Alfonsi , Pierre Blanc