Paper: arXiv 2510.15883
Authors: Yang Li, Zhi Chen
Abstract
Traditional stochastic control methods in finance struggle in real world markets due to their reliance on simplifying assumptions and stylized frameworks. Such methods typically perform well in specific, well defined environments but yield suboptimal results in changed, non stationary ones. We introduce FinFlowRL, a novel framework for financial optimal stochastic control. The framework pretrains an adaptive meta policy learning from multiple expert strategies, then finetunes through reinforcement learning in the noise space to optimize the generative process. By employing action chunking generating action sequences rather than single decisions, it addresses the non Markovian nature of markets. FinFlowRL consistently outperforms individually optimized experts across diverse market conditions.
Complexity vs Empirical Score
- Math Complexity: 8.5/10
- Empirical Rigor: 7.0/10
- Quadrant: Holy Grail — high math complexity, high empirical rigor
Why this score: The paper employs advanced mathematics including flow matching, stochastic differential equations, and ODE solvers, while demonstrating rigorous empirical validation through high-frequency trading backtests with specific performance metrics and comparisons.
Research Flowchart
flowchart TD
A["Research Goal: Develop adaptive stochastic control<br>for financial markets overcoming<br>traditional simplifying assumptions"] --> B["FinFlowRL Framework Architecture"]
B --> C["Imitation Learning: Pretrain on multiple expert strategies<br>to create a meta-policy"]
B --> D["Reinforcement Learning: Fine-tune meta-policy<br>in stochastic noise space"]
C --> E{"Action Chunking Mechanism"}
D --> E
E --> F["Generative action sequences<br>instead of single decisions"]
F --> G["Computational Process:<br>Handles non-Markovian market dynamics"]
G --> H["Key Findings:<br>Outperforms individually optimized experts<br>across diverse market conditions"]
Cited References (151)
- Mean Flows for One-step Generative Modeling (2025) — link
- Steering Your Diffusion Policy with Latent Space Reinforcement Learning (2025) — link
- Finagent: A multimodal foundation agent for financial trading: Tool-augmented, diversified, and generalist (2024)
- Flow Q-Learning (2025) — link
- Steering Your Diffusion Policy with Latent Space Reinforcement Learning (2025) — link
- KAN: Kolmogorov-Arnold Networks (2024) — link
- Static Hedging of Standard Options (2014) — link
- Financial trading as a game: A deep reinforcement learning approach (2018) — link
and 143 more
- Automatic financial trading agent for low-risk portfolio management using deep reinforcement learning (2019) — link
- Adaptive quantitative trading: An imitative deep reinforcement learning approach (2020)
- An Overview of Machine Learning, Deep Learning, and Reinforcement Learning-Based Techniques in Quantitative Finance: Recent Progress and Challenges (2023)
- CHATREPORT: Democratizing Sustainability Disclosure Analysis through LLM-based Tools (2023) — link
- Improving Factuality and Reasoning in Language Models through Multiagent Debate (2023) — link
- Replication and analysis of Ebbinghaus’ forgetting curve (2015)
- Generative agents: Interactive simulacra of human behavior (2023) — link
- Code Llama: Open Foundation Models for Code (2023) — link
- Improving language understanding by generative pre-training (2018)
- GPT-4 Technical Report (2023) — link
- FinGPT: Open-Source Financial Large Language Models — → 2306.06031
- Bloomberggpt: A large language model for finance (2023) — link
- Sentiment-influenced trading system based on multimodal deep reinforcement learning (2021)
- A Deep Multimodal Reinforcement Learning System Combined with CNN and LSTM for Stock Trading (2019) — link
- Design and implementation of a multiagent stock trading system (2012)
- MSPM: A modularized and scalable multi-agent reinforcement learning-based system for financial portfolio management (2022)
- A multi-agent Q-learning framework for optimizing stock trading systems (2002)
- A multi-agent deep reinforcement learning framework for algorithmic trading in financial markets (2022)
- Modelling stock markets by multi-agent reinforcement learning (2021)
- word2vec Explained: deriving Mikolov et al.’s negative-sampling word-embedding method (2014) — link
- Glove: Global vectors for word representation (2014)
- Bert: Pre-training of deep bidirectional transformers for language understanding (2018) — link
- Long short-term memory based recurrent neural network architectures for large vocabulary speech recognition (2014) — link
- Interactive narrative: A novel application of artificial intelligence for computer games (2012)
- Weaviate — link
- Cohere: Privacy Management in Large Scale Systems (2023) — link
- Human memory: A proposed system and its control processes (1968)
- What are the differences between long-term, short-term, and working memory? (2008)
- Llama: Open and efficient foundation language models (2023) — link
- Generative AI for End-to-End Limit Order Book Modelling: A Token-Level Autoregressive Generative Model of Message Flow Using a Deep State Space Network (2023) — link
- Modelling microstructure noise with mutually exciting point processes (2013)
- Modeling foreign exchange market activity around macroeconomic news: Hawkes-process approach (2015)
- Modelling security market events in continuous time: Intensity based, multivariate point process models (2007)
- Limit theorems for nearly unstable Hawkes processes (2016)
- Exact simulation of Hawkes process with exponentially decaying intensity (2013)
- Bayesian Estimation of the ETAS Model for Earthquake Occurrences (2021)
- Bayesian Inference for Hawkes Processes (2013) — link
- Sora by OpenAI (2024) — link
- Mamba: Linear-Time Sequence Modeling with Selective State Spaces (2023) — link
- Benchmark dataset for mid-price forecasting of limit order book data with machine learning methods (2018) — link
- Forecasting Stock Prices from the Limit Order Book Using Convolutional Neural Networks (2017) — link
- DeepLOB: Deep Convolutional Neural Networks for Limit Order Books (2019) — link
- BDLOB: Bayesian Deep Convolutional Neural Networks for Limit Order Books (2018) — link
- Transformers for Limit Order Books (2020) — link
- Mean flows for one-step generative modeling (2025) — link
- Flow-Based Policy for Online Reinforcement Learning (2025) — link
- Denoising diffusion probabilistic models (2020)
- Earnhft: Efficient hierarchical reinforcement learning for high frequency trading (2024)
- Reinforcement Learning in High-frequency Market Making — → 2407.21025
- Empirical market microstructure: The institutions, economics, and econometrics of securities trading (2007)
- Score-Based Generative Modeling through Stochastic Differential Equations (2021)
- Reverse-Time Diffusion Equation Models (1982)
- Market microstructure: A survey (2000)
- Trading and exchanges: Market microstructure for practitioners (2002)
- High-frequency trading in a limit order book (2008)
- Buy low, sell high: A high frequency trading perspective (2014)
- High frequency market making: Implications for liquidity (2017)
- Dealing with the inventory risk: a solution to the market making problem (2013)
- Reinforcement learning: An introduction (2018)
- Deep reinforcement learning in high frequency trading (2018) — link
- Reinforcement learning in robotics: A survey (2013)
- Deep unsupervised learning using nonequilibrium thermodynamics (2015)
- Planning with diffusion for flexible behavior synthesis (2022) — link
- Diffusion Policy: Visuomotor Policy Learning via Action Diffusion (2024)
- Diffusion policies as an expressive policy class for offline reinforcement learning (2022) — link
- One step diffusion via shortcut models (2024) — link
- U-net: Convolutional networks for biomedical image segmentation (2015)
- Continuous auctions and insider trading (1985)
- Informed speculation with imperfect competition (1989)
- Feature-wise transformations for visual reasoning (2018)
- Attention is all you need (2017)
- Nice: Non-linear independent components estimation (2014) — link
- Score-based generative modeling through stochastic differential equations (2020) — link
- Handbook of Stochastic Methods (2004)
- The Fokker-Planck Equation: Methods of Solution and Applications (1996)
- Numerical Solution of Stochastic Differential Equations (1999)
- Markov chain Monte Carlo with approximate proposals (2015)
- Large deviations for diffusion processes with unbounded coefficients (2006)
- Optimal Trade Execution (1996)
- Optimal execution and transaction costs (1996)
- Volume Weighted Average Price: A Primer (2018)
- Reinforcement Learning: An Introduction (1998)
- Human-level control through deep reinforcement learning (2015)
- Continuous control with deep reinforcement learning (2015) — link
- Denoising diffusion probabilistic models (2020) — link
- Title of the Paper (2019)
- A multivariate Hawkes process approach for modeling financial market activity (2014)
- Hawkes processes for energy markets: Modeling negative and positive jumps (2021)
- Long short-term memory (1997)
- Learning phrase representations using RNN encoder-decoder for statistical machine translation (2014)
- HiPPO: A continuous-time sequence model (2020) — link
- Mamba2: Enhancing state-space models for continuous memory (2023)
- Chain-of-thought prompting elicits reasoning in large language models (2022) — link
- Chain of Continuous Thought: Novel Paradigm with Enhanced LLM Reasoning in Continuous Latent Space (2023)
- Optimal high-frequency trading in a pro rata microstructure with predictive information (2015)
- Multi-Agent Systems for Financial Trading: A Survey (2021)
- Language models are few-shot learners (2020) — link
- Advanced Continuous Reasoning in Latent Spaces (2024) — link
- Price dynamics in a Markovian limit order market (2013)
- Incorporating order-flow into optimal execution (2016)
- Risk metrics and fine tuning of high-frequency trading strategies (2015)
- Optimal dealer pricing under transactions and return uncertainty (1981)
- Training Large Language Models to Reason in a Continuous Latent Space (2024) — link
- Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Duality (2024) — link
- HiPPO: Recurrent Memory with Optimal Polynomial Projections (2020) — link
- FlowHFT: Flow Policy Induced Optimal High-Frequency Trading under Diverse Market Conditions — → 2505.05784
- FlowOE: Imitation Learning with Flow Policy from Ensemble RL Experts for Optimal Execution under Heston Volatility and Concave Market Impacts — → 2506.05755
- Flow Matching for Generative Modeling (2022) — link
- Proximal Policy Optimization Algorithms (2017) — link
- Point spectra of some mutually exciting point processes (1971)
- Hawkes processes in finance (2015)
- Option pricing when underlying stock returns are discontinuous (1976)
- Optimal execution of portfolio transactions (2001)
- Market making under a weakly consistent limit order book model (2019)
- High-frequency market making to large institutional trades (2019)
- High-frequency market-making with inventory constraints and directional bets (2012) — link
- Brownian motion (2010)
- Lectures on the Poisson process (2017)
- The Financial Mathematics of Market Liquidity: From optimal execution to market making (2016)
- The problem of calibrating an agent-based model of high-frequency trading (2016) — link
- Deep reinforcement learning for active high frequency trading (2021) — link
- Reinforcement learning: A survey (1996)
- Introduction to reinforcement learning (2020)
- Markov decision processes (1990)
- Reinforcement learning for stock prediction and high-frequency trading with T+ 1 rules (2022)
- Deep reinforcement learning for trading (2019) — link
- Frequant: A reinforcement-learning based adaptive portfolio optimization with multi-frequency decomposition (2024)
- Inside the black box: A simple guide to quantitative and high-frequency trading (2013)
- MacroHFT: Memory Augmented Context-aware Reinforcement Learning On High Frequency Trading (2024)
- Flow matching in latent space (2023) — link
- Flow matching guide and code (2024) — link
- Flowpolicy: Enabling fast and robust 3d flow-based policy via consistency flow matching for robot manipulation (2025)
- Shortcut to greatness: The new thinking and the revolution in Soviet foreign policy (2003)
- Lifetime portfolio selection under uncertainty: The continuous-time case (1969)
- The pricing of options and corporate liabilities (1973)
- Volatility is rough (2022)
- bContinuous Auctions and Insider Trading, 0 Econometrica, November 1985, 53 (6), 1315~ 1335., bInformed Speculation with Imperfect Competition, 0 Review of Economic Studies, July 1989, 56 (3), 317~ 356. and F. Albert Wang, bSpeculation Duopoly With Agreement to Disagree: Can Overcon7 fidence Survive the Market Test (1997)
- A Non (Random Walk Down Wall (Street, Princeton Uni (versity Press, 1999 (1999)
- Giving content to investor sentiment: The role of media in the stock market (2007)
- Algorithmic and high-frequency trading (2015)
- Hedging options for a large investor and forward-backward SDE’s (1996)
- Fundamentals of stochastic filtering (2009)
- A new approach to the economic analysis of nonstationary time series and the business cycle (1989)
4 of 151 cited works are in the corpus; resolved via arXiv source bundles, Semantic Scholar and OpenAlex. Corpus-wide: 2518 linked papers.