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ConvergeFlow: Language Flow with Provable Convergence to Token Embeddings

[Przetwarzanie języka] Autorzy: Na Li, Yuchen Jiao, Changxiao Cai i 1 więcej

Recent advances in continuous diffusion and flow-based language models (LMs) have achieved performance competitive with discrete LMs. However, existing continuous frameworks still rely on decoders supervised with cross entropy (CE) because the flow trajectories are not guaranteed to terminate at valid token embeddings. Motivated by this limitation, we introduce \textbf{ConvergeFlow}, an embedding-space flow-based LM, which constrains the data predictor to the convex hull of token embeddings and trains it solely with the mean squared error objective induced by flow matching. Under suitable regularity conditions, we prove that the resulting flow converges to valid token embeddings despite errors in the data predictor, enabling direct token prediction without a CE-supervised decoder. We further develop three sampling mechanisms for controlling the trade-off between the generative perplexit…

Kategoria arxiv
cs.CL
Kategoria
Przetwarzanie języka
Pdf
https://arxiv.org/pdf/2608.23551v1

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