Schrödinger Bridges

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A Schrödinger bridge finds the most likely stochastic dynamics, relative to a chosen reference process, that connect specified endpoint distributions; this links entropy-regularized optimal transport, stochastic control, and path-space inference. Methods include Sinkhorn and iterative proportional fitting algorithms, as well as neural bridge matching and score- or flow-based models for learning dynamics from data. Applications range from image and speech generation to medical translation, single-cell trajectory inference, and filtering, with extensions for multiple or unbalanced marginals, non-Euclidean spaces, and control constraints. A central challenge is balancing tractable training and few-step sampling with accurate paths and marginals, especially when the reference process or assumed dynamics poorly fit the data.

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53 papers8 papers in the last four weeks, up 33% on the four weeks before. 0.0% of all new papers.

Inconsistency-aware Multimodal Schrödinger Bridge for Deepfake Localization
May 22, 2026Jiayu Xiong, Jing Wang, Qi Zhang +2Cross-Modal Learning Multimodal Robustness
Department of Computer Science and Techonology, Huaqiao University · Xiamen Key Laboratory of Computer Vision and Pattern Recognition, Huaqiao University · Tongji University +1
Entropy Across the Bridge: Conditional-Marginal Discretization for Flow and Schrödinger Samplers
May 15, 2026Bruno Trentini, Dejan Stancevic, Michael M. Bronstein +2Flow Matching Schrödinger Bridges
NVIDIA Corporation, Santa Clara, CA, USA · University of Oxford, Dept. of Computer Science, Oxford, UK · Donders Institute for Brain, Cognition, and Behaviour, Radboud University, Nijmegen, NL +1
Action-Inspired Generative Models
May 14, 2026Eshwar R. A., Debnath PalSchrödinger Bridges Generative Modeling
Department of Computer Science Engineering PES University (EC Campus), Bengaluru
QDSB: Quantized Diffusion Schrödinger Bridges
May 12, 2026Tobias Fuchs, Florian Kalinke, Nadja KleinSchrödinger Bridges Diffusion Model Acceleration
Karlsruhe Institute of Technology, Karlsruhe, Germany
Mutual Information Optimal Density Control of Linear Systems and Generalized Schrödinger Bridges with Reference Refinement
May 10, 2026Shoju Enami, Kenji KashimaStochastic Optimal Control Schrödinger Bridges
Graduate School of Informatics, Kyoto University, Kyoto, Japan
Direct Estimation of Schrödinger Bridge Time-Series Drifts: Finite-Sample, Asymptotic, and Adaptive Guarantees
May 6, 2026Othmane Mazhar, Huyên PhamParameter Estimation Schrödinger Bridges
LPSM, Sorbonne Université and Université Paris Cité · École Polytechnique, CMAP
Analytic Bridge Diffusions for Controlled Path Generation
May 3, 2026Michael ChertkovStochastic Optimal Control Schrödinger Bridges
Program in Applied Mathematics & Department of Mathematics University of Arizona, AZ 85721, USA
Beyond Continuity: Simulation-free Reconstruction of Discrete Branching Dynamics from Single-cell Snapshots
May 1, 2026Junda Ying, Yuxuan Wang, Bowen Yang +2Schrödinger Bridges Single-Cell Transcriptomics
Beijing International Center for Mathematical Research, Peking University · Center for Data Science, Peking University · School of Mathematical Sciences, Peking University +4
Nonlinear Non-Gaussian Density Steering with Input and Noise Channel Mismatch: Sinkhorn with Memory for Solving the Control-affine Schrödinger Bridge Problem
Apr 25, 2026Georgiy A. Bondar, Asmaa Eldesoukey, Yongxin Chen +1Stochastic Optimal Control Schrödinger Bridges
Department of Aerospace Engineering, Iowa State University, Ames, IA 50011, USA · School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA
Generative optimal transport via forward-backward HJB matching
Apr 9, 2026Haiqian Yang, Vishaal Krishnan, Sumit Sinha +1HJB Equations Stochastic Optimal Control
Department of Mechanical Engineering, MIT, Cambridge, MA 02139 · SEAS, Harvard University, Cambridge, MA 02138 · SEAS, Physics and OEB, Harvard University, Cambridge, MA 02138
SBBTS: A Unified Schrödinger-Bass Framework for Synthetic Financial Time Series
Apr 8, 2026Alexandre Alouadi, Grégoire Loeper, Célian Marsala +2Time Series Generation Financial Time Series
BNPP and Ecole Polytechnique. · BNPP and Monash University · BNPP and ENSAE Paris +2
A Generalized Sinkhorn Algorithm for Mean-Field Schrödinger Bridge
Apr 8, 2026Asmaa Eldesoukey, Yongxin Chen, Abhishek HalderSchrödinger Bridges Optimal Transport
Department of Aerospace Engineering, Iowa State University, Ames, IA 50011, USA · School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA
Rectified Schrödinger Bridge Matching for Few-Step Visual Navigation
Apr 7, 2026Wuyang Luan, Junhui Li, Weiguang Zhao +3Schrödinger Bridges Robot Policy Learning
School of Artificial Intelligence, Jilin University, Changchun 130012, China · College of Computer Science, Chongqing University, Chongqing 400044, China · Department of Computer Science, University of Liverpool, Liverpool L69 3BX, UK +1
Cognitive Energy Modeling for Neuroadaptive Human-Machine Systems using EEG and WGAN-GP
Apr 2, 2026Sriram Sattiraju, Vaibhav Gollapalli, Aryan Shah +1EEG Signal Generation Cognitive Modeling
Department of Computer Science, University of Texas at Austin, Austin, TX 78712, USA · Department of Learning Technologies, University of North Texas, Denton, TX 76203, USA
Causal Optimal Coupling for Gaussian Input-Output Distributional Data
Apr 1, 2026Daran Xu, Amirhossein TaghvaeiOptimal Transport Schrödinger Bridges
Department of Applied Mathematics, University of Washington, Seattle, WA · Department of Aeronautics and Astronautics, University of Washington, Seattle, WA
Path-Space Mirror Descent for On-Policy Reinforcement Learning under the Generalized Schrödinger Bridge
Mar 23, 2026Yuehu Gong, Zeyuan Wang, Yulin Chen +3Policy Optimization Continuous Control
School of Data Science, Fudan University · Laboratory for Big Data and Decision, National University of Defense Technology · ShanghaiTech University +2
Foundations of Schrödinger Bridges for Generative Modeling
Mar 19, 2026Sophia TangSchrödinger Bridges Generative Modeling
Department of Computer and Information Science University of Pennsylvania
Schrödinger Bridge Over A Compact Connected Lie Group
Mar 14, 2026Hamza Mahmood, Abhishek Halder, Adeel AkhtarSchrödinger Bridges Stochastic Optimal Control
Department of Mechanical & Industrial Engineering at the New Jersey Institute of Technology, Newark, NJ 07102, USA · Department of Aerospace Engineering at Iowa State University, Ames, IA 50011, USA
DMD-augmented Unpaired Neural Schrödinger Bridge for Ultra-Low Field MRI Enhancement
Mar 4, 2026Youngmin Kim, Jaeyun Shin, Jeongchan Kim +5Magnetic Resonance Imaging Unpaired Image-to-Image Translation
Korea University, Seoul, Republic of Korea · KAIST, Daejeon, Republic of Korea · NYU Langone Health, New York, NY, USA
Efficient Generative Modeling beyond Memoryless Diffusion via Adjoint Schrödinger Bridge Matching
Feb 17, 2026Jeongwoo Shin, Jinhwan Sul, Joonseok Lee +2Diffusion Model Sampling Schrödinger Bridges
Seoul National University, Seoul, Korea · Georgia Institute of Technology, Atlanta, GA, USA · Sungkyunkwan University, Seoul, Korea
Multi-Marginal Schrödinger Bridge Matching
Oct 18, 2025Byoungwoo Park, Juho LeeSchrödinger Bridges Trajectory Inference
KAIST
Data-to-Energy Stochastic Dynamics
Sep 30, 2025Kirill Tamogashev, Esmeralda S. WhitammerSampling from Unnormalized Distributions Schrödinger Bridges
University of Edinburgh
Single-Step Bidirectional Unpaired Image Translation Using Implicit Bridge Consistency Distillation
Mar 19, 2025Suhyeon Lee, Kwanyoung Kim, Jong Chul YeImage-to-Image Translation Unpaired Image-to-Image Translation
Kim Jae Chul Graduate School of AI, KAIST · Samsung Research

May 22, 2026J/K move · Enter open · S save

Inconsistency-aware Multimodal Schrödinger Bridge for Deepfake Localization

Jiayu Xiong, Jing Wang, Qi Zhang, Wanlong Wang+1

Department of Computer Science and Techonology, Huaqiao University · Xiamen Key Laboratory of Computer Vision and Pattern Recognition, Huaqiao University · Tongji University+1

Cross-Modal Learning Multimodal Robustness Schrödinger Bridges Deepfake Detection Multimodal Fusion

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Audio-visual deepfake localization demands interval-level outputs that serve as temporal evidence. Despite recent progress, symmetric fusion under single-sided or asynchronous forgeries propagates cross-modal noise, degrading high-precision localization. We present IaMSB, an inconsistency-aware multimodal Schrödinger Bridge (SB) that jointly estimates cross-modal consistency and performs interval-level localization. Unlike diffusion models, SB minimizes path-distribution discrepancy and yields consistency scores without explicit noise injection or denoising. With the Schrödinger Bridge (SB), IaMSB unifies consistency estimation, cross-modal information selection, and bridge-step scheduling in one framework. Specifically, a lightweight coarse bridge first proposes candidate intervals and estimates cross-modal consistency; these statistics select cross-modal witness signals and allocate bridge steps asymmetrically across modalities. A refinement bridge then performs step-tuned fusion and outputs refined, time-aligned intervals. IaMSB anticipates single-sided and asynchronous forgeries and, using bottlenecked cross-modal interaction with step allocation, suppresses noise transfer, avoids unnecessary iterations. Across benchmarks, IaMSB stabilizes strict-IoU boundary precision, raising [email protected] by 3%~10%, and yields improved high-precision localization, particularly for single-sided forgeries.