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In this paper, we consider Markov Decision Processes (MDPs) with error states. Error states are those states entering which is undesirable or dangerous. We define the risk with respect to a policy as the probability of entering such a state…

Machine Learning · Computer Science 2011-09-13 P. Geibel , F. Wysotzki

While research of reinforcement learning applied to financial markets predominantly concentrates on finding optimal behaviours, it is worth to realize that the reinforcement learning returns $G_t$ and state value functions themselves are of…

Statistical Finance · Quantitative Finance 2024-05-21 Colin D. Grab

In this work we deal with the funding costs rising from hedging the risky securities underlying a target volatility strategy (TVS), a portfolio of risky assets and a risk-free one dynamically rebalanced in order to keep the realized…

Pricing of Securities · Quantitative Finance 2021-12-06 Roberto Daluiso , Emanuele Nastasi , Andrea Pallavicini , Stefano Polo

The problem of reinforcement learning is considered where the environment or the model undergoes a change. An algorithm is proposed that an agent can apply in such a problem to achieve the optimal long-time discounted reward. The algorithm…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Wuxia Chen , Taposh Banerjee , Jemin George , Carl Busart

One major obstacle that precludes the success of reinforcement learning in real-world applications is the lack of robustness, either to model uncertainties or external disturbances, of the trained policies. Robustness is critical when the…

Machine Learning · Computer Science 2020-05-05 Rahul Singh , Qinsheng Zhang , Yongxin Chen

We introduce a distributional method for learning the optimal policy in risk averse Markov decision process with finite state action spaces, latent costs, and stationary dynamics. We assume sequential observations of states, actions, and…

Machine Learning · Computer Science 2023-03-01 Ziteng Cheng , Sebastian Jaimungal , Nick Martin

Reinforcement learning is commonly associated with training of reward-maximizing (or cost-minimizing) agents, in other words, controllers. It can be applied in model-free or model-based fashion, using a priori or online collected system…

Systems and Control · Electrical Eng. & Systems 2022-09-01 Lukas Beckenbach , Pavel Osinenko , Stefan Streif

Algorithmic trading, due to its inherent nature, is a difficult problem to tackle; there are too many variables involved in the real world which make it almost impossible to have reliable algorithms for automated stock trading. The lack of…

Artificial Intelligence · Computer Science 2020-01-28 Abhishek Nan , Anandh Perumal , Osmar R. Zaiane

Risk management is very important for individual investors or companies. There are many ways to measure the risk of investment. Prices of risky assets vary rapidly and randomly due to the complexity of finance market. Random interval is a…

Portfolio Management · Quantitative Finance 2022-07-26 Jinping Zhang , Keming Zhang

Auction-based recommender systems are prevalent in online advertising platforms, but they are typically optimized to allocate recommendation slots based on immediate expected return metrics, neglecting the downstream effects of…

Information Retrieval · Computer Science 2023-08-01 Ruiyang Xu , Jalaj Bhandari , Dmytro Korenkevych , Fan Liu , Yuchen He , Alex Nikulkov , Zheqing Zhu

This paper presents a discrete-time option pricing model that is rooted in Reinforcement Learning (RL), and more specifically in the famous Q-Learning method of RL. We construct a risk-adjusted Markov Decision Process for a discrete-time…

Computational Finance · Quantitative Finance 2019-09-04 Igor Halperin

Recently equal risk pricing, a framework for fair derivative pricing, was extended to consider dynamic risk measures. However, all current implementations either employ a static risk measure that violates time consistency, or are based on…

Pricing of Securities · Quantitative Finance 2021-09-10 Saeed Marzban , Erick Delage , Jonathan Yumeng Li

This study investigates the mean-variance (MV) trade-off in reinforcement learning (RL), an instance of the sequential decision-making under uncertainty. Our objective is to obtain MV-efficient policies whose means and variances are located…

Machine Learning · Computer Science 2024-11-14 Masahiro Kato , Kei Nakagawa , Kenshi Abe , Tetsuro Morimura , Kentaro Baba

Derivatives, as a critical class of financial instruments, isolate and trade the price attributes of risk assets such as stocks, commodities, and indices, aiding risk management and enhancing market efficiency. However, traditional hedging…

Computational Finance · Quantitative Finance 2025-03-07 Yiheng Ding , Gangnan Yuan , Dewei Zuo , Ting Gao

Although in recent years reinforcement learning has become very popular the number of successful applications to different kinds of operations research problems is rather scarce. Reinforcement learning is based on the well-studied dynamic…

Machine Learning · Computer Science 2020-04-03 Manuel Schneckenreither

An emerging field of sequential decision problems is safe Reinforcement Learning (RL), where the objective is to maximize the reward while obeying safety constraints. Being able to handle constraints is essential for deploying RL agents in…

Robotics · Computer Science 2023-03-08 Nick Bührer , Zhejun Zhang , Alexander Liniger , Fisher Yu , Luc Van Gool

In this paper, we propose a predictor-corrector type Consensus Based Optimization (CBO) algorithm on a convex feasible set. Our proposed algorithm generalizes the CBO algorithm in [11] to tackle a constrained optimization problem for the…

Optimization and Control · Mathematics 2021-10-14 Hyeong-Ohk Bae , Seung-Yeal Ha , Myeongju Kang , Hyuncheul Lim , Chanho Min , Jane Yoo

Offline reinforcement learning (RL) promises the ability to learn effective policies solely using existing, static datasets, without any costly online interaction. To do so, offline RL methods must handle distributional shift between the…

Machine Learning · Computer Science 2023-10-31 Joey Hong , Aviral Kumar , Sergey Levine

Dynamic portfolio optimization is the process of sequentially allocating wealth to a collection of assets in some consecutive trading periods, based on investors' return-risk profile. Automating this process with machine learning remains a…

Machine Learning · Computer Science 2019-01-28 Pengqian Yu , Joon Sern Lee , Ilya Kulyatin , Zekun Shi , Sakyasingha Dasgupta

In this paper, we derive a temporal arbitrage policy for storage via reinforcement learning. Real-time price arbitrage is an important source of revenue for storage units, but designing good strategies have proven to be difficult because of…

Systems and Control · Computer Science 2020-10-27 Hao Wang , Baosen Zhang