Schr"odinger Bridge for Generative Speech Enhancement
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Abstract (arXiv)
This paper proposes a generative speech enhancement model based on Schr"odinger bridge (SB). The proposed model is employing a tractable SB to formulate a data-to-data process between the clean speech distribution and the observed noisy speech distribution. The model is trained with a data prediction loss, aiming to recover the complex-valued clean speech coefficients, and an auxiliary time-domain loss is used to improve training of the model. The effectiveness of the proposed SB-based model is evaluated in two different speech enhancement tasks: speech denoising and speech dereverberation. The experimental results demonstrate that the proposed SB-based outperforms diffusion-based models in terms of speech quality metrics and ASR performance, e.g., resulting in relative word error rate reduction of 20% for denoising and 6% for dereverberation compared to the best baseline model. The proposed model also demonstrates improved efficiency, achieving better quality than the baselines for the same number of sampling steps and with a reduced computational cost.
Key facts. Cited by 27 papers in the map (data through 14 Oct 2026). First posted on arXiv 22 Jul 2024.
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Citing papers per year: 2024: 2; 2025: 19; 2026: 6.
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- 2025A2SB: Audio-to-Audio Schrodinger Bridgescited by 11
- 2024Diffusion-based Speech Enhancement with Schr"odinger Bridge and Symmetric Noise Schedulecited by 8
- 2025MeanFlowSE: one-step generative speech enhancement via conditional mean flowcited by 6
- 2025A Composite Predictive-Generative Approach to Monaural Universal Speech Enhancementcited by 4
- 2025Robust One-step Speech Enhancement via Consistency Distillationcited by 4
- 2025Schr"odinger Bridge Consistency Trajectory Models for Speech Enhancementcited by 4
- 2025VoiceBridge: General Speech Restoration with One-step Latent Bridge Modelscited by 4
- 2025Real-Time Streamable Generative Speech Restoration with Flow Matchingcited by 4
- 2025Flowing Straighter with Conditional Flow Matching for Accurate Speech Enhancementcited by 3
- 2025Schr"odinger Bridge Mamba for One-Step Speech Enhancementcited by 3
- 2025LipDiffuser: Lip-to-Speech Generation with Conditional Diffusion Modelscited by 2
- 2025ArtiFree: Detecting and Reducing Generative Artifacts in Diffusion-based Speech Enhancementcited by 2
15 more
- 2025Diffusion Buffer for Online Generative Speech Enhancementcited by 2
- 2025DeepFilterGAN: A Full-band Real-time Speech Enhancement System with GAN-based Stochastic Regenerationcited by 1
- 2025Audio Generation Through Score-Based Generative Modeling: Design Principles and Implementationcited by 1
- 2025Regularized Schr"odinger Bridge via Distortion-Perception Perturbation for High-Fidelity Speech Enhancementcited by 1
- 2025Investigating training objective for flow matching-based speech enhancementcited by 1
- 2024Extract and Diffuse: Latent Integration for Improved Diffusion-based Speech and Vocal Enhancementcited by 0
- 2025Combining Deterministic Enhanced Conditions with Dual-Streaming Encoding for Diffusion-Based Speech Enhancementcited by 0
- 2025On the Application of Diffusion Models for Simultaneous Denoising and Dereverberationcited by 0
- 2025BridgeVoC: Revitalizing Neural Vocoder from a Restoration Perspectivecited by 0
- 2026A Fast Solver for Interpolating Stochastic Differential Equation Diffusion Models for Speech Restorationcited by 0
- 2026Predictive-Generative Drift Decomposition for Speech Enhancement and Separationcited by 0
- 2026SB-RF: Schr"odinger Bridge Rectified Flow for One-Step Robust Speech Enhancementcited by 0
- 2026HybridSB-MoE: Dual-Domain Schr"odinger Bridges with Scene-Adaptive Expert Routing for Speech Enhancementcited by 0
- 2026Corrective Forcing: Unified Post-Training for Diffusions and Flows in Generative Speech Enhancementcited by 0
- 2026Perceptual Quality Loss or Loss of Perceptual Quality?cited by 0
- 2026Perceptual Quality Loss or Loss of Perceptual Quality?28 Sep 2026
- 2026Corrective Forcing: Unified Post-Training for Diffusions and Flows in Generative Speech Enhancement21 Sep 2026
- 2026HybridSB-MoE: Dual-Domain Schr"odinger Bridges with Scene-Adaptive Expert Routing for Speech Enhancement13 Aug 2026
- 2026SB-RF: Schr"odinger Bridge Rectified Flow for One-Step Robust Speech Enhancement4 Jun 2026
- 2026Predictive-Generative Drift Decomposition for Speech Enhancement and Separation7 May 2026
- 2026A Fast Solver for Interpolating Stochastic Differential Equation Diffusion Models for Speech Restoration10 Mar 2026
- 2025Real-Time Streamable Generative Speech Restoration with Flow Matching22 Dec 2025
- 2025Investigating training objective for flow matching-based speech enhancement11 Dec 2025
- 2025Regularized Schr"odinger Bridge via Distortion-Perception Perturbation for High-Fidelity Speech Enhancement12 Nov 2025
- 2025BridgeVoC: Revitalizing Neural Vocoder from a Restoration Perspective10 Nov 2025
- 2025Diffusion Buffer for Online Generative Speech Enhancement21 Oct 2025
- 2025Schr"odinger Bridge Mamba for One-Step Speech Enhancement19 Oct 2025
15 more
- 2025VoiceBridge: General Speech Restoration with One-step Latent Bridge Models28 Sep 2025
- 2025ArtiFree: Detecting and Reducing Generative Artifacts in Diffusion-based Speech Enhancement23 Sep 2025
- 2025MeanFlowSE: one-step generative speech enhancement via conditional mean flow18 Sep 2025
- 2025Flowing Straighter with Conditional Flow Matching for Accurate Speech Enhancement28 Aug 2025
- 2025On the Application of Diffusion Models for Simultaneous Denoising and Dereverberation26 Aug 2025
- 2025Schr"odinger Bridge Consistency Trajectory Models for Speech Enhancement16 Jul 2025
- 2025Robust One-step Speech Enhancement via Consistency Distillation8 Jul 2025
- 2025Audio Generation Through Score-Based Generative Modeling: Design Principles and Implementation10 Jun 2025
- 2025A Composite Predictive-Generative Approach to Monaural Universal Speech Enhancement30 May 2025
- 2025DeepFilterGAN: A Full-band Real-time Speech Enhancement System with GAN-based Stochastic Regeneration29 May 2025
- 2025Combining Deterministic Enhanced Conditions with Dual-Streaming Encoding for Diffusion-Based Speech Enhancement20 May 2025
- 2025LipDiffuser: Lip-to-Speech Generation with Conditional Diffusion Models16 May 2025
- 2025A2SB: Audio-to-Audio Schrodinger Bridges20 Jan 2025
- 2024Extract and Diffuse: Latent Integration for Improved Diffusion-based Speech and Vocal Enhancement15 Sep 2024
- 2024Diffusion-based Speech Enhancement with Schr"odinger Bridge and Symmetric Noise Schedule8 Sep 2024
- 2024Diffusion-based Speech Enhancement with Schr"odinger Bridge and Symmetric Noise Schedulecited by 8
- 2025A Composite Predictive-Generative Approach to Monaural Universal Speech Enhancementcited by 4
- 2025Robust One-step Speech Enhancement via Consistency Distillationcited by 4
- 2025Schr"odinger Bridge Consistency Trajectory Models for Speech Enhancementcited by 4
- 2025Real-Time Streamable Generative Speech Restoration with Flow Matchingcited by 4
- 2025Flowing Straighter with Conditional Flow Matching for Accurate Speech Enhancementcited by 3
- 2025LipDiffuser: Lip-to-Speech Generation with Conditional Diffusion Modelscited by 2
- 2025Audio Generation Through Score-Based Generative Modeling: Design Principles and Implementationcited by 1
- 2025Investigating training objective for flow matching-based speech enhancementcited by 1
- 2024Extract and Diffuse: Latent Integration for Improved Diffusion-based Speech and Vocal Enhancementcited by 0
- 2025Combining Deterministic Enhanced Conditions with Dual-Streaming Encoding for Diffusion-Based Speech Enhancementcited by 0
- 2025On the Application of Diffusion Models for Simultaneous Denoising and Dereverberationcited by 0
12 most cited of 15 All 15 (JSON)
- 2026SB-RF: Schr"odinger Bridge Rectified Flow for One-Step Robust Speech Enhancement4 Jun 2026
- 2026A Fast Solver for Interpolating Stochastic Differential Equation Diffusion Models for Speech Restoration10 Mar 2026
- 2025Real-Time Streamable Generative Speech Restoration with Flow Matching22 Dec 2025
- 2025Investigating training objective for flow matching-based speech enhancement11 Dec 2025
- 2025BridgeVoC: Revitalizing Neural Vocoder from a Restoration Perspective10 Nov 2025
- 2025Flowing Straighter with Conditional Flow Matching for Accurate Speech Enhancement28 Aug 2025
- 2025On the Application of Diffusion Models for Simultaneous Denoising and Dereverberation26 Aug 2025
- 2025Schr"odinger Bridge Consistency Trajectory Models for Speech Enhancement16 Jul 2025
- 2025Robust One-step Speech Enhancement via Consistency Distillation8 Jul 2025
- 2025Audio Generation Through Score-Based Generative Modeling: Design Principles and Implementation10 Jun 2025
- 2025A Composite Predictive-Generative Approach to Monaural Universal Speech Enhancement30 May 2025
- 2025Combining Deterministic Enhanced Conditions with Dual-Streaming Encoding for Diffusion-Based Speech Enhancement20 May 2025
12 newest of 15 All 15 (JSON)
- 2025Schr"odinger Bridge Mamba for One-Step Speech Enhancement19 Oct 2025
- 2025A2SB: Audio-to-Audio Schrodinger Bridgescited by 11
- 2025MeanFlowSE: one-step generative speech enhancement via conditional mean flowcited by 6
- 2025VoiceBridge: General Speech Restoration with One-step Latent Bridge Modelscited by 4
- 2025ArtiFree: Detecting and Reducing Generative Artifacts in Diffusion-based Speech Enhancementcited by 2
- 2025Diffusion Buffer for Online Generative Speech Enhancementcited by 2
- 2025DeepFilterGAN: A Full-band Real-time Speech Enhancement System with GAN-based Stochastic Regenerationcited by 1
- 2025Regularized Schr"odinger Bridge via Distortion-Perception Perturbation for High-Fidelity Speech Enhancementcited by 1
- 2026Predictive-Generative Drift Decomposition for Speech Enhancement and Separationcited by 0
- 2026Corrective Forcing: Unified Post-Training for Diffusions and Flows in Generative Speech Enhancementcited by 0
- 2026Perceptual Quality Loss or Loss of Perceptual Quality?cited by 0
- 2026Perceptual Quality Loss or Loss of Perceptual Quality?28 Sep 2026
- 2026Corrective Forcing: Unified Post-Training for Diffusions and Flows in Generative Speech Enhancement21 Sep 2026
- 2026Predictive-Generative Drift Decomposition for Speech Enhancement and Separation7 May 2026
- 2025Regularized Schr"odinger Bridge via Distortion-Perception Perturbation for High-Fidelity Speech Enhancement12 Nov 2025
- 2025Diffusion Buffer for Online Generative Speech Enhancement21 Oct 2025
- 2025VoiceBridge: General Speech Restoration with One-step Latent Bridge Models28 Sep 2025
- 2025ArtiFree: Detecting and Reducing Generative Artifacts in Diffusion-based Speech Enhancement23 Sep 2025
- 2025MeanFlowSE: one-step generative speech enhancement via conditional mean flow18 Sep 2025
- 2025DeepFilterGAN: A Full-band Real-time Speech Enhancement System with GAN-based Stochastic Regeneration29 May 2025
- 2025A2SB: Audio-to-Audio Schrodinger Bridges20 Jan 2025