ResearchResearch paperTraining & Scaling · Efficiency & Inference · Large Language Models1 source · Oct 18, 2026

Probabilistic Limit Order Book Forecasting with Conditional Diffusion Models

We introduce LOBGrad, a conditional DDPM framework for probabilistic LOB forecasting that combines an autoregressive RNN encoder with a diffusion-based generator.

Key points

  • Modeling limit order book (LOB) dynamics is central to market forecasting and execution-strategy evaluation.
  • While diffusion models achieve strong empirical performance, existing LOB snapshot models typically lack a learned recurrent encoder and formal statistical guarantees.
  • In particular, we establish an excess-risk oracle inequality for the one-step DDPM noise-prediction objective under exponential mixing and regularity assumptions.
  • Experiments on BTC/USDT, GOOGL, and META show that LOBGrad improves on its encoder-free diffusion ablation across all reported queue metrics and obtains competitive results against other baselines.

Sources (1)

  • [1]Probabilistic Limit Order Book Forecasting with Conditional Diffusion Models
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 18, 07:34 PM
    We introduce LOBGrad, a conditional DDPM framework for probabilistic LOB forecasting that combines an autoregressive RNN encoder with a diffusion-based generator.
    Modeling limit order book (LOB) dynamics is central to market forecasting and execution-strategy evaluation.

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