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Schr\"odinger Bridges

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SB-RF: Schr\"odinger Bridge Rectified Flow for One-Step Robust Speech Enhancement

Announce Type: new Abstract: Generative models have shown impressive results in speech enhancement but often suffer from multi-step inference. We propose SB-RF, a one-step generative framework integrating Rectified Flow (RF) with Schr\"odinger Bridge (SB) theory. SB-RF constructs a conditional bridge between clean and noisy speech distributions via entropy-regularized optimal transport.

arXiv CS 5d ago

Geometry-based Schr\"odinger Bridges for Trustworthy Multimodal Fusion

Announce Type: new Abstract: Real-world multimodal systems must be robust against low-quality data, such as sensor noise, incomplete multimodal data and conflicting inputs. However, existing trustworthy fusion methods rely on the model's own prediction confidence to judge data quality. This creates a circular dependency: when a model is confident but wrong, these methods fail to detect the error.

arXiv CS 9d ago

Nonlocal Mean Field Schr\"{o}dinger Bridge with Learned Interactions

Announce Type: cross Abstract: The Schr\"odinger Bridge Problem constructs a stochastic process that connects an initial distribution to a terminal distribution with minimum energy. This work considers its mean-field extension, the Mean-Field Schr\"odinger Bridge, for interacting particle systems. With nonlocal interactions, evaluating the resulting particle-dependent distributional terms can scale quadratically with the population size, which makes large-scale problems intractable.

arXiv CS 6d ago