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RESEARCH PAPER / 2026-01-14

Diffusion-based Frameworks for Unsupervised Speech Enhancement

Jean-Eudes Ayilo, Mostafa Sadeghi, Romain Serizel ...Full author list in the original paper.

Université de Lorraine +4 · arXiv

Affiliations: Université de Lorraine, CNRS, Inria, Loria, Université Grenoble Alpes

Abstract

This paper addresses unsupervised diffusion-based single-channel speech enhancement (SE). Prior work in this direction combines a score-based diffusion model trained on clean speech with a Gaussian noise model whose covariance is structured by non-negative matrix factorization (NMF). This combination is used within an iterative expectation-maximization (EM) scheme, in which a diffusion-based posterior-sampling E-step estimates the clean speech. We first revisit this framework and propose to explicitly model both speech and acoustic noise as latent variables, jointly sampling them in the E-step instead of sampling speech alone as in previous approaches. We then introduce a new unsupervised SE framework that replaces the NMF noise prior with a diffusion-based noise model, learned jointly with the speech prior in a single conditional score model. Within this framework, we derive two variants: one that implicitly accounts for noise and one that explicitly treats noise as a latent variable. Experiments on WSJ0-QUT and VoiceBank-DEMAND show that explicit noise modeling systematically improves SE performance for both NMF-based and diffusion-based noise priors. Under matched conditions, the diffusion-based noise model attains the best overall quality and intelligibility among unsupervised methods, while under mismatched conditions the proposed NMF-based explicit-noise framework is more robust and suffers less degradation than several supervised baselines.

The following analysis is generated by AI and may contain errors. It is separate from the authors’ abstract and is not peer review.

Research summary

This paper contributes a significant advancement in unsupervised speech enhancement by introducing a diffusion-based framework that explicitly models noise, leading to improved performance metrics and robustness in speech processing tasks. The methodology is innovative, and the experimental validation is thorough, indicating strong potential for real-world applications.

Methodology

The paper introduces a novel unsupervised speech enhancement framework that leverages diffusion models to explicitly model both speech and noise as latent variables, improving upon previous methods that treated noise implicitly. The use of a joint score model for speech and noise is innovative and allows for enhanced performance in speech enhancement tasks. The iterative expectation-maximization (EM) scheme is well-structured, and the introduction of two variants (one implicit and one explicit for noise modeling) demonstrates a thoughtful approach to tackling the problem.

Results & evaluation

The experiments are robust, utilizing well-known datasets (WSJ0-QUT and VoiceBank-DEMAND) to evaluate the proposed methods against several baselines, including both unsupervised and supervised approaches. The results indicate clear improvements in performance metrics such as SI-SDR, PESQ, and ESTOI, particularly in matched conditions, which supports the effectiveness of the proposed methods. The statistical significance of the results is also addressed, adding credibility to the findings.

Reproducibility

The paper mentions that the code will be made publicly available, which is a positive aspect for reproducibility. However, the detailed implementation specifics, such as hyperparameters and training configurations, are adequately described, allowing for replication of the experiments. The use of standard datasets also aids in reproducibility.

Limitations

While the paper presents significant advancements, it does not explore the limitations of the proposed methods in depth. For instance, the performance under mismatched conditions shows some degradation, suggesting that further robustness improvements are needed. Additionally, the computational complexity of the methods may limit their applicability in real-time scenarios.

Broader impact

The proposed frameworks have the potential to significantly enhance applications in speech processing, particularly in scenarios where clean speech data is scarce. This could benefit various fields, including telecommunications, hearing aids, and voice recognition technologies, where improved speech clarity is crucial. The focus on unsupervised methods also opens avenues for broader applicability in diverse environments without the need for extensive labeled datasets. This paper contributes a significant advancement in unsupervised speech enhancement by introducing a diffusion-based framework that explicitly models noise, leading to improved performance metrics and robustness in speech processing tasks. The methodology is innovative, and the experimental validation is thorough, indicating strong potential for real-world applications.

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