Shortcut Flow Matching for Speech Enhancement: Step-Invariant flows via single stage training

Naisong Zhou, Saisamarth Rajesh Phaye, Milos Cernak, Tijana Stojkovic, Andy Pearce +2 more
9/25/2025
cs.SDcs.AI

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Abstract

Diffusion-based generative models have achieved state-of-the-art performance for perceptual quality in speech enhancement (SE). However, their iterative nature requires numerous Neural Function Evaluations (NFEs), posing a challenge for real-time applications. On the contrary, flow matching offers a more efficient alternative by learning a direct vector field, enabling high-quality synthesis in just a few steps using deterministic ordinary differential equation~(ODE) solvers. We thus introduce Shortcut Flow Matching for Speech Enhancement (SFMSE), a novel approach that trains a single, step-invariant model. By conditioning the velocity field on the target time step during a one-stage training process, SFMSE can perform single, few, or multi-step denoising without any architectural changes or fine-tuning. Our results demonstrate that a single-step SFMSE inference achieves a real-time factor (RTF) of 0.013 on a consumer GPU while delivering perceptual quality comparable to a strong diffusion baseline requiring 60 NFEs. This work also provides an empirical analysis of the role of stochasticity in training and inference, bridging the gap between high-quality generative SE and low-latency constraints.

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@article{zhou2025shortcut,
  title  = {Shortcut Flow Matching for Speech Enhancement: Step-Invariant flows via single stage training},
  author = {Naisong Zhou and Saisamarth Rajesh Phaye and Milos Cernak and Tijana Stojkovic and Andy Pearce and Andrea Cavallaro and Andy Harper},
  year   = {2025},
  eprint = {2509.21522},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2509.21522v1}
}

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