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Recently, several works have demonstrated the possibility of generating discrete data continuously by a simple flow matching

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They have further shown the feasibility of accelerated sampling via Categorical Flow Maps (CFMs), resulting in competitive sample quality in the few-step regime.

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Authors Oscar Davis†**, Anastasiia Filippova, Victor Turrisi, Amitis Shidani, Pierre Ablin, Marco Cuturi, Louis Béthune. Continuous diffusion and flow matching models could represent a powerful alternative to autoregressive approaches for language modelling (LM), as they unlock a host of advantages currently reserved for continuous modalities, including accelerated sampling and tilting. In this article, they train a 1.7B-parameter base flow model on 2.1T tokens and self-distill it into a CFM that generates diverse, high-quality text in as few as 4 inference steps while maintaining near-data-level token entropy.

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