Paper: arXiv 2511.18076

Authors: Fermat Leukam, Rock Stephane Koffi, Prudence Djagba

Abstract

This research proposes an enhancement to the innovative portfolio optimization approach using the G-Learning algorithm, combined with parametric optimization via the GIRL algorithm (G-learning approach to the setting of Inverse Reinforcement Learning) as presented by. The goal is to maximize portfolio value by a target date while minimizing the investor’s periodic contributions. Our model operates in a highly volatile market with a well-diversified portfolio, ensuring a low-risk level for the investor, and leverages reinforcement learning to dynamically adjust portfolio positions over time. Results show that we improved the Sharpe Ratio from 0.42, as suggested by recent studies using the same approach, to a value of 0.483 a notable achievement in highly volatile markets with diversified portfolios. The comparison between G-Learning and GIRL reveals that while GIRL optimizes the reward function parameters (e.g., lambda = 0.0012 compared to 0.002), its impact on portfolio performance remains marginal. This suggests that reinforcement learning methods, like G-Learning, already enable robust optimization. This research contributes to the growing development of reinforcement learning applications in financial decision-making, demonstrating that probabilistic learning algorithms can effectively align portfolio management strategies with investor needs.

Complexity vs Empirical Score

  • Math Complexity: 8.0/10
  • Empirical Rigor: 3.0/10
  • Quadrant: Lab Rats — theoretically deep, empirically untested

Why this score: The paper employs advanced reinforcement learning algorithms (G-Learning, GIRL) and Markov Decision Processes, involving sophisticated probabilistic modeling and mathematical formulations. However, the empirical validation relies on simulated data with no mention of code, specific datasets, or detailed backtesting methodology, resulting in low implementation readiness.

Research Flowchart

  flowchart TD
  A["Research Goal<br>Maximize portfolio value & minimize contributions<br>within defined time horizon"] --> B["Data & Inputs<br>Historical market data & volatility"]
  B --> C["Methodology: Reinforcement Learning<br>G-Learning + GIRL algorithms"]
  C --> D{"Computational Process<br>Dynamically adjust portfolio positions<br>based on market volatility"}
  D -- G-Learning Core --> E["Model Optimization<br>Robust RL optimization"]
  D -- GIRL Refinement --> F["Parametric Tuning<br>Reward function optimization"]
  E --> G["Key Findings<br>Sharpe Ratio: 0.42 → 0.483"]
  F --> G
  G --> H["Outcome<br>Effective alignment of RL strategies<br>with investor financial goals"]

Cited References (25)

  1. Machine learning in finance (2020)
  2. G-learner and girl: Goal based wealth management with reinforcement learning (2020) — link
  3. Is deep learning an RG flow? (2019)
  4. How Machine Learning Is Transforming Portfolio Optimization (2024)
  5. Portfolio management using reinforcement learning (2016)
  6. A deep reinforcement learning framework for the financial portfolio management problem (2017) — link
  7. Dynamic portfolio allocation in goals-based wealth management (2020)
  8. Market self-learning of signals, impact and optimal trading: Invisible hand inference with free energy (2018) — link
and 17 more
  1. Statistical Inference for Sharpe Ratio (2010)
  2. Modèle de Markowitz et détermination d’un portfeuille optimal (2018)
  3. my Human Brain Project (mHBP) (2021)
  4. The Markowitz Model (2002)
  5. Deep Reinforcement Learning Model for Stock Portfolio Management Based on Data Fusion (2024)
  6. Modern portfolio theory (1952)
  7. Analysis of new approaches used in portfolio optimization: a systematic literature review (2020)
  8. Theory of portfolio optimization in markets with frictions (2001)
  9. A survey of international financial risk management system (2013)
  10. Finance and diversification (2010)
  11. Estimating fundamental Sharpe ratios: A Kalman filter approach (2015)
  12. Teaching the Financial Markets Course (1976)
  13. Benchmarking performance indices: pitfalls and solutions (2003)
  14. The failure of risk management: Why it’s broken and how to fix it (2020)
  15. Benchmarking Reinforcement Learning (RL) Algorithms for Portfolio Optimization (2024)
  16. Stochastic differential portfolio games (2000)
  17. Q-learning (1992)

0 of 25 cited works are in the corpus; resolved via arXiv source bundles, Semantic Scholar and OpenAlex. Corpus-wide: 2518 linked papers.