Paper: arXiv 2405.05449

Abstract

Investment portfolios, central to finance, balance potential returns and risks. This paper introduces a hybrid approach combining Markowitz’s portfolio theory with reinforcement learning, utilizing knowledge distillation for training agents. In particular, our proposed method, called KDD (Knowledge Distillation DDPG), consist of two training stages: supervised and reinforcement learning stages. The trained agents optimize portfolio assembly. A comparative analysis against standard financial models and AI frameworks, using metrics like returns, the Sharpe ratio, and nine evaluation indices, reveals our model’s superiority. It notably achieves the highest yield and Sharpe ratio of 2.03, ensuring top profitability with the lowest risk in comparable return scenarios.

Complexity vs Empirical Score

  • Math Complexity: 8.5/10
  • Empirical Rigor: 6.0/10 (capped from 6.5: transaction costs not modelled; see penalty flags)
  • Quadrant: Holy Grail — high math complexity, high empirical rigor

Why this score: The paper presents substantial mathematical formalisms including Markowitz optimization, MDPs, and continuous RL algorithms (DDPG), while demonstrating empirical rigor through comparative analysis using financial metrics like Sharpe ratio, though it lacks detailed implementation code or raw dataset disclosures.

Research Flowchart

  flowchart TD
  A["Research Goal<br>Optimize portfolio return & risk"]
  B["Data Inputs<br>Historical market data & asset prices"]
  C["Methodology<br>Two-stage KDD training"]
  D["Stage 1<br>Supervised learning (Markowitz reference)"]
  E["Stage 2<br>Reinforcement learning (DDPG agent)"]
  F["Computational Process<br>Knowledge distillation & policy optimization"]
  G["Key Findings<br>Superior performance metrics"]
  H["Outcome<br>Sharpe Ratio: 2.03<br>Highest yield & lowest risk"]

  A --> B
  B --> C
  C --> D
  D --> E
  E --> F
  F --> G
  G --> H

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3 of 88 cited works are in the corpus; resolved via arXiv source bundles, Semantic Scholar and OpenAlex. Corpus-wide: 2518 linked papers.