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AlphaQCM: Alpha Discovery in Finance with Distributional Reinforcement Learning

ICML 2025 · Reinforcement learning › Policy gradient and actor-critic · approach: Distributional value learning

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Proposes AlphaQCM, a distributional RL method (IQN quantiles + DQN Q-network + quantiled conditional moment variance bonus) that searches for synergistic formulaic alpha pools on Chinese A-share and S&P 500 data.

Problem

Discovering synergistic formulaic alphas for stock return prediction is cast as an MDP that is non-stationary (reward function changes as the alpha pool updates) and reward-sparse, which hampers existing RL approaches such as AlphaGen.

Approach

Learns Q via a DQN and quantiles via IQN, then estimates an unbiased variance from possibly biased quantiles using the quantiled conditional moment (QCM) method; the variance serves as an exploration bonus in action selection (Q + λ√variance).

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace AlphaGen with AlphaQCMformulaic alpha discovery · CSI 300IC: 8.13% -> 8.49%Helped
replace AlphaGen with AlphaQCMformulaic alpha discovery · CSI 500IC: 8.08% -> 9.55%Helped
replace AlphaGen with AlphaQCMformulaic alpha discovery · MarketIC: 6.04% -> 9.16%Helped
add QCM variance bonus instead of no variance bonus (ablation)AlphaQCM with QRDQN backbone · CSI 300IC: 6.96% -> 7.59%Helped
add QCM variance bonus instead of no variance bonus (ablation)AlphaQCM with QRDQN backbone · CSI 500IC: 8.54% -> 9.08%Helped
add QCM variance bonus instead of no variance bonus (ablation)AlphaQCM with QRDQN backbone · MarketIC: 7.06% -> 9.12%Helped
replace vanilla quantile-based variance with QCM variance (ablation)AlphaQCM with IQN backbone · CSI 300IC: 6.16% -> 8.49%Helped
replace vanilla quantile-based variance with QCM variance (ablation)AlphaQCM with IQN backbone · CSI 500IC: 8.75% -> 9.55%Helped
replace vanilla quantile-based variance with QCM variance (ablation)AlphaQCM with IQN backbone · MarketIC: 8.42% -> 9.16%Helped
use IQN instead of QRDQN as the distributional RL backbone (ablation)AlphaQCM with QCM variance · CSI 300IC: 7.59% -> 8.49%Helped
use expert formulaic alphas to initialize replay memory (ablation)AlphaQCM at 100% training · CSI 300IC: 8.49% -> 8.17%Hurt
use expert formulaic alphas to initialize replay memory (ablation)AlphaQCM at 100% training · CSI 500IC: 9.55% -> 8.96%Hurt

Surprising findings

Limitations

Experimental setup

Datasets: CSI 300 CSI 500 Market (all Shanghai/Shenzhen A-shares) S&P 500 Alpha101 formulas

Benchmarks: CSI 300 CSI 500 Market (Chinese A-shares) S&P 500

Metrics: Information Coefficient (IC) IC standard deviation across 10 seeds

Baselines: Alpha101 MLP XGBoost LightGBM GP w/o filter GP w/ filter PPO w/ filter AlphaGen QRDQN

Builds on: IQN DQN QCM AlphaGen QRDQN

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