arXiv AI By Jung Hun Phee, Tucker Balch

OrderFlowDiT: Transport-Regularized Diffusion Transformer for Probabilistic Limit-Order Supply Forecasting

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OrderFlowDiT is a conditional Diffusion Transformer designed to forecast limit‑order volume over the next five minutes, jointly modeling price placement, total volume, and predictive uncertainty. The model uses unnormalized bid and ask volume‑at‑price fields and incorporates an unbalanced optimal‑transport (UOT) auxiliary loss to better capture price displacement and volume information. In a validation study across 30 U.S. equities, adding UOT reduced transport cost by 45.8% and transport energy score by 26.1% compared to mean‑squared‑error training, improving accuracy for every stock.

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