Apple Machine Learning Research · 10/14/2026, 08:00:00

Tri-Modal Masked Diffusion Models: SDE Reparameterization Decouples Batch Size for Unified Text-Image-Audio Generation at 3B Scale

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Executive Summary

Researchers pretrained the first tri-modal Masked Diffusion Model (MDM) from scratch on text, image-text, and audio-text data, achieving strong generation capabilities at a 3B parameter scale. The study introduces an SDE-based reparameterization that decouples physical batch size from logical gradient variance, eliminating the need for manual batch tuning. This work represents the largest systematic open study of multimodal discrete diffusion models to date, offering critical insights into scaling laws across modalities.

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Discrete diffusion models have emerged as strong alternatives to autoregressive language models, with recent work initializing and finetuning a base unimodal model for bi-modal generation. Diverging from previous approaches, we introduce the first tri-modal Masked Diffusion Models (MDM) pretrained from scratch on text, image-text, and audio-text data. We systematically analyze multimodal scaling laws, modality mixing ratios, noise schedules, batch-size effects and provide optimized inference sampling defaults. Our batch-size analysis yields a novel stochastic differential equation (SDE) based reparameterization, eliminating the need for tuning the optimal batch size as reported in recent work. This reparameterization decouples the physical batch size, often chosen based on compute (GPU saturation, FLOP-efficiency, wall-clock time) from the logical batch size, chosen to balance the variance of gradients during stochastic optimization. Finally, we pretrain a preliminary model showcasing the capabilities of a unified design, achieving strong results at 3B model scale (6.4T tokens), in both text generation, T2I tasks, and T2S tasks. Our work represents the largest scale systematic open study of multimodal discrete diffusion models conducted to date, providing valuable insights into scaling behaviors across multiple modalities.

  • † University of Cambridge
  • ‡ MIT
  • § Google DeepMind
  • ** Work done while at Apple