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Related papers: Exploratory Mean-Variance with Jumps: An Equilibri…

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We consider model-based multi-agent reinforcement learning, where the environment transition model is unknown and can only be learned via expensive interactions with the environment. We propose H-MARL (Hallucinated Multi-Agent Reinforcement…

Machine Learning · Computer Science 2022-07-12 Pier Giuseppe Sessa , Maryam Kamgarpour , Andreas Krause

This paper presents a deep reinforcement learning (DRL) framework for dynamic portfolio optimization under market uncertainty and risk. The proposed model integrates a Sharpe ratio-based reward function with direct risk control mechanisms,…

Portfolio Management · Quantitative Finance 2025-11-17 Emmanuel Lwele , Sabuni Emmanuel , Sitali Gabriel Sitali

This paper addresses the problem of learning optimal control policies for systems with uncertain dynamics and high-level control objectives specified as Linear Temporal Logic (LTL) formulas. Uncertainty is considered in the workspace…

Robotics · Computer Science 2024-10-17 Yiannis Kantaros , Jun Wang

This paper presents a model-free reinforcement learning (RL) algorithm to solve the risk-averse optimal control (RAOC) problem for discrete-time nonlinear systems. While successful RL algorithms have been presented to learn optimal control…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Yuzhen Han , Majid Mazouchi , Subramanya Nageshrao , Hamidreza Modares

There has been growing interest in applying reinforcement learning (RL) to inventory management, either by optimizing over temporal transitions or by learning directly from full historical demand trajectories. This contrasts sharply with…

Machine Learning · Statistics 2026-02-03 Yaqi Xie , Will Ma , Linwei Xin

This paper focuses on multi-agent stochastic differential games for jump-diffusion systems. On one hand, we study the multi-agent game for optimal investment in a jump-diffusion market. We derive constant Nash equilibria and provide…

Optimization and Control · Mathematics 2025-04-08 Liwei Lu , Ruimeng Hu , Xu Yang , Yi Zhu

We study Merton's expected utility maximization problem in an incomplete market, characterized by a factor process in addition to the stock price process, where all the model primitives are unknown. The agent under consideration is a price…

Portfolio Management · Quantitative Finance 2026-02-17 Min Dai , Yuchao Dong , Yanwei Jia , Xun Yu Zhou

Focusing on gains & losses relative to a risk-free benchmark instead of terminal wealth, we consider an asset allocation problem to maximize time-consistently a mean-risk reward function with a general risk measure which is i)…

Mathematical Finance · Quantitative Finance 2026-02-18 Felix Fießinger , Mitja Stadje

Portfolio Management is the process of overseeing a group of investments, referred to as a portfolio, with the objective of achieving predetermined investment goals. Portfolio optimization is a key component that involves allocating the…

Portfolio Management · Quantitative Finance 2026-02-20 Srijan Sood , Kassiani Papasotiriou , Marius Vaiciulis , Tucker Balch

In this work, we augment reinforcement learning with an inference-time collision model to ensure safe and efficient container management in a waste-sorting facility with limited processing capacity. Each container has two optimal emptying…

Machine Learning · Computer Science 2025-03-24 Abhijeet Pendyala , Tobias Glasmachers

This paper studies a variation of the continuous-time mean-variance portfolio selection where a tracking-error penalization is added to the mean-variance criterion. The tracking error term penalizes the distance between the allocation…

Computational Finance · Quantitative Finance 2020-09-21 William Lefebvre , Gregoire Loeper , Huyên Pham

This paper is devoted to study the optimal portfolio problem. Harry Markowitz's Ph.D. thesis prepared the ground for the mathematical theory of finance. In modern portfolio theory, we typically find asset returns that are modeled by a…

Portfolio Management · Quantitative Finance 2014-06-30 Hassan Omidi Firouzi , Andrew Luong

Scalable and effective exploration remains a key challenge in reinforcement learning (RL). While there are methods with optimality guarantees in the setting of discrete state and action spaces, these methods cannot be applied in…

Machine Learning · Computer Science 2017-01-30 Rein Houthooft , Xi Chen , Yan Duan , John Schulman , Filip De Turck , Pieter Abbeel

We develop a efficient, easy-to-implement, and strictly monotone numerical integration method for Mean-Variance (MV) portfolio optimization in realistic contexts, which involve jump-diffusion dynamics of the underlying controlled processes,…

Computational Finance · Quantitative Finance 2023-09-13 Hanwen Zhang , Duy-Minh Dang

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

Optimization and Control · Mathematics 2026-02-04 K. L. Helmes , R. H. Stockbridge , C. Zhu

This paper is concerned with the uniqueness issue of open-loop equilibrium investment strategies of dynamic mean-variance portfolio selection problems with random coefficients. A unified method is developed to treat both the problems with…

Optimization and Control · Mathematics 2018-02-06 Tianxiao Wang

We present a detailed analysis and implementation of a splitting strategy to identify simultaneously the local-volatility surface and the jump-size distribution from quoted European prices. The underlying model consists of a jump-diffusion…

Computational Finance · Quantitative Finance 2018-11-07 Vinicius Albani , Jorge Zubelli

Automated Market Makers (AMMs) hold assets and are constantly being rebalanced by external arbitrageurs to match external market prices. Loss-versus-rebalancing (LVR) is a pivotal metric for measuring how an AMM pool performs for its…

Trading and Market Microstructure · Quantitative Finance 2024-11-01 Matthew Willetts , Christian Harrington

With the fast development of quantitative portfolio optimization in financial engineering, lots of AI-based algorithmic trading strategies have demonstrated promising results, among which reinforcement learning begins to manifest…

Mathematical Finance · Quantitative Finance 2023-03-10 Huifang Huang , Ting Gao , Pengbo Li , Jin Guo , Peng Zhang , Nan Du

We consider the problem of learning a control policy that is robust against the parameter mismatches between the training environment and testing environment. We formulate this as a distributionally robust reinforcement learning (DR-RL)…

Machine Learning · Computer Science 2023-05-23 Zaiyan Xu , Kishan Panaganti , Dileep Kalathil
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