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We consider a utility maximization problem for an investment-consumption portfolio when the current utility depends also on the wealth process. Such kind of problems arise, e.g., in portfolio optimization with random horizon or with random…

Portfolio Management · Quantitative Finance 2015-02-10 Salvatore Federico , Paul Gassiat , Fausto Gozzi

This paper develops algorithms for high-dimensional stochastic control problems based on deep learning and dynamic programming. Unlike classical approximate dynamic programming approaches, we first approximate the optimal policy by means of…

Probability · Mathematics 2021-09-21 Côme Huré , Huyên Pham , Achref Bachouch , Nicolas Langrené

This paper introduces the Hamilton-Jacobi-Bellman Proximal Policy Optimization (HJBPPO) algorithm into reinforcement learning. The Hamilton-Jacobi-Bellman (HJB) equation is used in control theory to evaluate the optimality of the value…

Machine Learning · Computer Science 2023-02-02 Amartya Mukherjee , Jun Liu

We propose a neural network approach for solving high-dimensional optimal control problems. In particular, we focus on multi-agent control problems with obstacle and collision avoidance. These problems immediately become high-dimensional,…

Optimization and Control · Mathematics 2022-05-05 Derek Onken , Levon Nurbekyan , Xingjian Li , Samy Wu Fung , Stanley Osher , Lars Ruthotto

The main purpose of this paper is to analyze solutions to a fully nonlinear parabolic equation arising from the problem of optimal portfolio construction. We show how the problem of optimal stock to bond proportion in the management of…

Portfolio Management · Quantitative Finance 2009-11-05 Zuzana Macova , Daniel Sevcovic

We propose a neural network approach that yields approximate solutions for high-dimensional optimal control problems and demonstrate its effectiveness using examples from multi-agent path finding. Our approach yields controls in a feedback…

Optimization and Control · Mathematics 2022-06-29 Derek Onken , Levon Nurbekyan , Xingjian Li , Samy Wu Fung , Stanley Osher , Lars Ruthotto

Financial portfolio management describes the task of distributing funds and conducting trading operations on a set of financial assets, such as stocks, index funds, foreign exchange or cryptocurrencies, aiming to maximize the profit while…

We present a simulation-and-regression method for solving dynamic portfolio allocation problems in the presence of general transaction costs, liquidity costs and market impacts. This method extends the classical least squares Monte Carlo…

Portfolio Management · Quantitative Finance 2019-06-05 Rongju Zhang , Nicolas Langrené , Yu Tian , Zili Zhu , Fima Klebaner , Kais Hamza

We consider a deterministic optimal control problem with a maximum running cost functional, in a finite horizon context, and propose deep neural network approximations for Bellman's dynamic programming principle, corresponding also to some…

Optimization and Control · Mathematics 2022-10-11 Olivier Bokanowski , Xavier Warin , Averil Prost

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

This research paper delves into the application of Deep Reinforcement Learning (DRL) in asset-class agnostic portfolio optimization, integrating industry-grade methodologies with quantitative finance. At the heart of this integration is our…

Artificial Intelligence · Computer Science 2024-03-14 Philip Ndikum , Serge Ndikum

Portfolio management is the art and science in fiance that concerns continuous reallocation of funds and assets across financial instruments to meet the desired returns to risk profile. Deep reinforcement learning (RL) has gained increasing…

Portfolio Management · Quantitative Finance 2023-10-30 Yinheng Li , Junhao Wang , Yijie Cao

As a model-free algorithm, deep reinforcement learning (DRL) agent learns and makes decisions by interacting with the environment in an unsupervised way. In recent years, DRL algorithms have been widely applied by scholars for portfolio…

Portfolio Management · Quantitative Finance 2024-02-27 Ruoyu Sun , Angelos Stefanidis , Zhengyong Jiang , Jionglong Su

Many machine learning solutions are framed as optimization problems which rely on good hyperparameters. Algorithms for tuning these hyperparameters usually assume access to exact solutions to the underlying learning problem, which is…

Machine Learning · Computer Science 2020-11-09 Matthias J. Ehrhardt , Lindon Roberts

Deep Reinforcement Learning (DRL), a subset of machine learning focused on sequential decision-making, has emerged as a powerful approach for tackling financial trading problems. In finance, DRL is commonly used either to generate discrete…

Computational Engineering, Finance, and Science · Computer Science 2026-02-06 Trang Thoi , Hung Tran , Tram Thoi , Huaiyang Zhong

In this paper, we propose a machine learning algorithm for time-inconsistent portfolio optimization. The proposed algorithm builds upon neural network based trading schemes, in which the asset allocation at each time point is determined by…

Portfolio Management · Quantitative Finance 2023-09-06 Kristoffer Andersson , Cornelis W. Oosterlee

Dynamic Portfolio optimization is the process of distribution and rebalancing of a fund into different financial assets such as stocks, cryptocurrencies, etc, in consecutive trading periods to maximize accumulated profits or minimize risks…

Portfolio Management · Quantitative Finance 2021-02-15 Kumar Yashaswi

We find economically and statistically significant gains when using machine learning for portfolio allocation between the market index and risk-free asset. Optimal portfolio rules for time-varying expected returns and volatility are…

Portfolio Management · Quantitative Finance 2021-11-05 Michael Pinelis , David Ruppert

Evolutionary artificial neural networks (EANNs) refer to a special class of artificial neural networks (ANNs) in which evolution is another fundamental form of adaptation in addition to learning. Evolutionary algorithms are used to adapt…

Artificial Intelligence · Computer Science 2016-11-17 Ajith Abraham

We consider an infinite horizon portfolio problem with borrowing constraints, in which an agent receives labor income which adjusts to financial market shocks in a path dependent way. This path-dependency is the novelty of the model, and…

Optimization and Control · Mathematics 2020-02-04 Enrico Biffis , Fausto Gozzi , Cecilia Prosdocimi
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