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We introduce the Pontryagin-Guided Direct Policy Optimization (PG-DPO) framework for high-dimensional continuous-time portfolio choice. Our approach combines Pontryagin's Maximum Principle (PMP) with backpropagation through time (BPTT) to…

Portfolio Management · Quantitative Finance 2025-09-12 Jeonggyu Huh , Jaegi Jeon , Hyeng Keun Koo , Byung Hwa Lim

We propose a scalable, policy-centric framework for continuous-time multi-asset portfolio-consumption optimization under inequality constraints. Our method integrates neural policies with Pontryagin's Maximum Principle (PMP) and enforces…

Portfolio Management · Quantitative Finance 2025-11-07 Jeonggyu Huh , Jaegi Jeon , Hyeng Keun Koo , Byung Hwa Lim

We present a Pontryagin-Guided Direct Policy Optimization (PG-DPO) framework for Merton's portfolio problem, unifying modern neural-network-based policy parameterization with the adjoint viewpoint from Pontryagin's maximum principle (PMP).…

Optimization and Control · Mathematics 2025-01-14 Jeonggyu Huh , Jaegi Jeon

Annual oil and gas exploration planning involves selecting a limited portfolio of drilling and appraisal-related projects before geological outcomes are known. This decision is affected by uncertainties in geological success, reserve size,…

Optimization and Control · Mathematics 2026-05-27 Junyi Cui

A novel optimisation framework through quadratic nonlinear projection is introduced for credit portfolio when the portfolio risk is measured by Conditional Value-at-Risk (CVaR). The whole optimisation procedure to search toward the optimal…

Portfolio Management · Quantitative Finance 2016-07-20 Boguk Kim , Chulwoo Han , Frank Chongwoo Park

Direct Preference Optimization (DPO) has shown promising results in aligning generative outputs with human preferences by distinguishing between chosen and rejected samples. However, a critical limitation of DPO is likelihood displacement,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Ruojun Xu , Yu Kai , Xuhua Ren , Jiaxiang Cheng , Bing Ma , Tianxiang Zheng , Qinhlin Lu

With the development of deep learning, Dynamic Portfolio Optimization (DPO) problem has received a lot of attention in recent years, not only in the field of finance but also in the field of deep learning. Some advanced research in recent…

Computational Engineering, Finance, and Science · Computer Science 2025-01-16 Runsheng Lin , Zihan Xing , Mingze Ma , Raymond S. T. Lee

Most value-based and actor--critic reinforcement learning methods rely on Bellman-style recursions, yet these recursions collapse under non-exponential discounting common in human preferences and survival processes. We show the breakdown is…

Machine Learning · Computer Science 2026-05-21 Hojin Ko , Jeonggyu Huh

We study two-stage distributionally robust optimization (DRO) problems with decision-dependent information discovery (DDID) wherein (a portion of) the uncertain parameters are revealed only if an (often costly) investment is made in the…

Optimization and Control · Mathematics 2025-10-07 Qing Jin , Angelos Georghiou , Phebe Vayanos , Grani A. Hanasusanto

Multi-period portfolio optimization is important for real portfolio management, as it accounts for transaction costs, path-dependent risks, and the intertemporal structure of trading decisions that single-period models cannot capture.…

Computational Engineering, Finance, and Science · Computer Science 2025-12-16 Yuxuan Linghu , Zhiyuan Liu , Qi Deng

We study a discrete-time portfolio selection problem with partial information and maxi\-mum drawdown constraint. Drift uncertainty in the multidimensional framework is modeled by a prior probability distribution. In this Bayesian framework,…

Portfolio Management · Quantitative Finance 2020-11-02 Carmine De Franco , Johann Nicolle , Huyên Pham

Plateaus, where an agent's performance stagnates at a suboptimal level, are a common problem in deep on-policy RL. Focusing on PPO due to its widespread adoption, we show that plateaus in certain regimes arise not because of known…

Machine Learning · Computer Science 2026-03-09 Michael Beukman , Khimya Khetarpal , Zeyu Zheng , Will Dabney , Jakob Foerster , Michael Dennis , Clare Lyle

We study the single-period portfolio selection problem under Constant Relative Risk-Aversion (CRRA) utility through the information-theoretic lens. Assuming only that the market payoff vector has finite support, we show that the…

Information Theory · Computer Science 2026-05-12 Bo-Yu Yang , Michael Gastpar

Dynamic discrete choice models often discretize the state vector and restrict its dimension in order to achieve valid inference. I propose a novel two-stage estimator for the set-identified structural parameter that incorporates a…

Econometrics · Economics 2018-11-07 Vira Semenova

In this paper, we introduce a new class of decision rules, referred to as Constant Depth Decision Rules (CDDRs), for multistage optimization under linear constraints with uncertainty-affected right-hand sides. We consider two uncertainty…

Optimization and Control · Mathematics 2021-02-23 Vincent Guigues , Anatoli Juditsky , Arkadi Nemirovski

This paper addresses the portfolio selection problem for nonlinear law-dependent preferences in continuous time, which inherently exhibit time inconsistency. Employing the method of stochastic maximum principle, we establish verification…

Mathematical Finance · Quantitative Finance 2023-11-15 Zongxia Liang , Jianming Xia , Fengyi Yuan

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

We evaluate benchmark deep reinforcement learning algorithms on the task of portfolio optimisation using simulated data. The simulator to generate the data is based on correlated geometric Brownian motion with the Bertsimas-Lo market impact…

Computational Engineering, Finance, and Science · Computer Science 2025-08-07 Chung I Lu

Embedding value investment in portfolio optimization models has always been a challenge. In this paper, we attempt to incorporate it by employing principal component analysis to filter out dominant financial ratios from each sector and…

Portfolio Management · Quantitative Finance 2023-01-23 Vrinda Dhingra , Amita Sharma , Shiv K. Gupta

Preference optimization has become a central paradigm for aligning large language models with human feedback. Direct Preference Optimization (DPO) simplifies reinforcement learning from human feedback by directly optimizing pairwise…

Machine Learning · Computer Science 2026-05-05 Inoussa Mouiche
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