Joint Distribution Optimal Transportation for Domain Adaptation
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Abstract (arXiv)
This paper deals with the unsupervised domain adaptation problem, where one wants to estimate a prediction function f in a given target domain without any labeled sample by exploiting the knowledge available from a source domain where labels are known. Our work makes the following assumption: there exists a non-linear transformation between the joint feature/label space distributions of the two domain Ps and Pt. We propose a solution of this problem with optimal transport, that allows to recover an estimated target Pft=(X,f(X)) by optimizing simultaneously the optimal coupling and f. We show that our method corresponds to the minimization of a bound on the target error, and provide an efficient algorithmic solution, for which convergence is proved. The versatility of our approach, both in terms of class of hypothesis or loss functions is demonstrated with real world classification and regression problems, for which we reach or surpass state-of-the-art results.
Key facts. Cited by 282 papers in the map (data through 14 Oct 2026). First posted on arXiv 24 May 2017.
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Citing papers per year: 2021: 44; 2022: 46; 2023: 62; 2024: 51; 2025: 41; 2026: 38.
282 papers.
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- 2023Diffusion Schr"odinger Bridge Matchingcited by 153
- 2021Unbalanced minibatch Optimal Transport; applications to Domain Adaptationcited by 125
- 2021Predicting with Confidence on Unseen Distributionscited by 116
- 2022Deep Unsupervised Domain Adaptation: A Review of Recent Advances and Perspectivescited by 98
- 2021Domain Impression: A Source Data Free Domain Adaptation Methodcited by 91
- 2023LAVA: Data Valuation without Pre-Specified Learning Algorithmscited by 69
- 2023Recent Advances in Optimal Transport for Machine Learningcited by 66
- 2021A Prototype-Oriented Framework for Unsupervised Domain Adaptationcited by 62
- 2023Domain Adaptation for Time Series Under Feature and Label Shiftscited by 60
- 2022Transferability in Deep Learning: A Surveycited by 57
- 2023Patch-Mix Transformer for Unsupervised Domain Adaptation: A Game Perspectivecited by 54
- 2021Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projectionscited by 53
38 more
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- 2021A Survey on Optimal Transport for Machine Learning: Theory and Applicationscited by 35
- 2023Debias Coarsely, Sample Conditionally: Statistical Downscaling through Optimal Transport and Probabilistic Diffusion Modelscited by 33
- 2023On the Stability of Expressive Positional Encodings for Graphscited by 33
- 2022Understanding Gradual Domain Adaptation: Improved Analysis, Optimal Path and Beyondcited by 32
- 2023The Monge Gap: A Regularizer to Learn All Transport Mapscited by 32
- 2023Optimal Transport for Treatment Effect Estimationcited by 32
- 2024Get more for less: Principled Data Selection for Warming Up Fine-Tuning in LLMscited by 32
- 2025EgoBridge: Domain Adaptation for Generalizable Imitation from Egocentric Human Datacited by 29
- 2022Meta Optimal Transportcited by 28
- 2023DARE-GRAM : Unsupervised Domain Adaptation Regression by Aligning Inverse Gram Matricescited by 28
- 2021Transport-based Counterfactual Modelscited by 27
- 2023Scalable Optimal Transport Methods in Machine Learning: A Contemporary Surveycited by 27
- 2021Conditional Bures Metric for Domain Adaptationcited by 25
- 2022Revisiting Sliced Wasserstein on Images: From Vectorization to Convolutioncited by 25
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- 2021Mapping conditional distributions for domain adaptation under generalized target shiftcited by 18
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- 2022Improving Transferability for Domain Adaptive Detection Transformerscited by 17
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- 2021Unsupervised Noise Adaptive Speech Enhancement by Discriminator-Constrained Optimal Transportcited by 16
- 2023Monge, Bregman and Occam: Interpretable Optimal Transport in High-Dimensions with Feature-Sparse Mapscited by 16
- 2023Performance Scaling via Optimal Transport: Enabling Data Selection from Partially Revealed Sourcescited by 16
- 2023OST: Refining Text Knowledge with Optimal Spatio-Temporal Descriptor for General Video Recognitioncited by 16
- 2021Information-theoretic regularization for Multi-source Domain Adaptationcited by 15
- 2024Sinkhorn Distance Minimization for Knowledge Distillationcited by 15
- 2022Rethinking Initialization of the Sinkhorn Algorithmcited by 14
- 2022Combating Label Distribution Shift for Active Domain Adaptationcited by 14
50 most cited of 282 All 282 (JSON)
- 2026MID: Mask-Image Distributional Divergence for Evaluating Medical Image Segmentation12 Oct 2026
- 2026Adaptive Bregman Alternating Projections for Feasible Gromov-Wasserstein Learning3 Oct 2026
- 2026FLOW: Feature-Level Optimal Warping for Generalized Remote Physiological Measurement30 Sep 2026
- 2026Optimal transport meets speech: a tutorial review24 Sep 2026
- 2026General Quantification of Covariate and Concept Shifts10 Sep 2026
- 2026Conformal Calibration Transfer9 Sep 2026
- 2026Conformal Risk Minimization for Semi-Supervised Domain Adaptation via Optimal Transport24 Aug 2026
- 2026Density-Reweighted Entropic Optimal Transport: Decoupling Geometry from Sampling Density17 Aug 2026
- 2026Mind the Residual Gap: Probabilistic Downscaling under Real-World Bias29 Jun 2026
- 2026Bridging Vision and Language Concepts through Optimal Transport Semantic Flow25 Jun 2026
- 2026Distribution Alignment for One-Shot Federated Learning via Optimal Transport15 Jun 2026
- 2026When Sample Selection Bias Precipitates Model Collapse11 Jun 2026
38 more
- 2026A Riemannian Approach to Low-Rank Optimal Transport10 Jun 2026
- 2026Barycentric Projections of Optimal Transport Plans on Riemannian Manifolds6 Jun 2026
- 2026Treatment Effect Estimation with Differentiated Networked Effect on Graph Data23 May 2026
- 2026Robust OT-Guided Generative Residual Domain Adaptation for Bike-Sharing Demand Prediction under Temporal Domain Shift22 May 2026
- 2026Continual Learning of Domain-Invariant Representations15 May 2026
- 2026Fused Gromov-Wasserstein Distance with Feature Selection12 May 2026
- 2026Implicit Neural Optimal Transport via Fixed-Point Optimization11 May 2026
- 2026Distributional Process Reward Models: Calibrated Prediction of Future Rewards via Conditional Optimal Transport7 May 2026
- 2026Optimal Transport for LLM Reward Modeling from Noisy Preference7 May 2026
- 2026Locality-aware Private Class Identification for Domain Adaptation with Extreme Label Shift7 May 2026
- 2026Sliced-Regularized Optimal Transport27 Apr 2026
- 2026Participatory provenance as representational auditing for AI-mediated public consultation22 Apr 2026
- 2026OT on the Map: Quantifying Domain Shifts in Geographic Space17 Apr 2026
- 2026Amortized Optimal Transport from Sliced Potentials16 Apr 2026
- 2026A Mechanistic Analysis of Sim-and-Real Co-Training in Generative Robot Policies15 Apr 2026
- 2026Generative models for decision-making under distributional shift6 Apr 2026
- 2026Harnessing Synthetic Data from Generative AI for Statistical Inference5 Mar 2026
- 2026Neural solver for Wasserstein Geodesics and optimal transport dynamics25 Feb 2026
- 2026A Critical Look at Targeted Instruction Selection: Disentangling What Matters (and What Doesn't)16 Feb 2026
- 2026Move What Matters: Parameter-Efficient Domain Adaptation via Optimal Transport Flow for Collaborative Perception12 Feb 2026
- 2026TRACE: Theoretical Risk Attribution under Covariate-shift Effects11 Feb 2026
- 2026Rethinking the Flow-Based Gradual Domain Adaptation: A Semi-Dual Optimal Transport Perspective1 Feb 2026
- 2026RecGOAT: Graph Optimal Adaptive Transport for LLM-Enhanced Multimodal Recommendation with Dual Semantic Alignment31 Jan 2026
- 2026Optimal Transport-Induced Samples against Out-of-Distribution Overconfidence29 Jan 2026
- 2026Distributionally Robust Classification for Multi-source Unsupervised Domain Adaptation29 Jan 2026
- 2026Beyond Mapping : Domain-Invariant Representations via Spectral Embedding of Optimal Transport Plans19 Jan 2026
- 2025Structured Matching via Cost-Regularized Unbalanced Optimal Transport24 Nov 2025
- 2025Towards Mitigating Systematics in Large-Scale Surveys via Few-Shot Optimal Transport-Based Feature Alignment14 Nov 2025
- 2025DistDF: Time-Series Forecasting Needs Joint-Distribution Wasserstein Alignment28 Oct 2025
- 2025Neural Hamilton--Jacobi Characteristic Flows for Optimal Transport30 Sep 2025
- 2025New Algorithmic Directions in Optimal Transport and Applications for Product Spaces25 Sep 2025
- 2025Federated Flow Matching25 Sep 2025
- 2025Bispectral OT: Dataset Comparison using Symmetry-Aware Optimal Transport25 Sep 2025
- 2025EgoBridge: Domain Adaptation for Generalizable Imitation from Egocentric Human Data23 Sep 2025
- 2025Generalizable Domain Adaptation for Sim-and-Real Policy Co-Training23 Sep 2025
- 2025Enhancing 3D Medical Image Understanding with Pretraining Aided by 2D Multimodal Large Language Models11 Sep 2025
- 2025Differentiable Expectation-Maximisation and Applications to Gaussian Mixture Model Optimal Transport2 Sep 2025
- 2025Partial Domain Adaptation via Importance Sampling-based Shift Correction27 Jul 2025
50 newest of 282 All 282 (JSON)
- 2023Diffusion Schr"odinger Bridge Matchingcited by 153
- 2023Debias Coarsely, Sample Conditionally: Statistical Downscaling through Optimal Transport and Probabilistic Diffusion Modelscited by 33
- 2023Extraction and Recovery of Spatio-Temporal Structure in Latent Dynamics Alignment with Diffusion Modelscited by 7
- 2025FreeDNA: Endowing Domain Adaptation of Diffusion-Based Dense Prediction with Training-Free Domain Noise Alignmentcited by 0
- 2025Federated Flow Matchingcited by 0
- 2025Federated Flow Matching25 Sep 2025
- 2025FreeDNA: Endowing Domain Adaptation of Diffusion-Based Dense Prediction with Training-Free Domain Noise Alignment26 Jun 2025
- 2023Extraction and Recovery of Spatio-Temporal Structure in Latent Dynamics Alignment with Diffusion Models9 Jun 2023
- 2023Debias Coarsely, Sample Conditionally: Statistical Downscaling through Optimal Transport and Probabilistic Diffusion Models24 May 2023
- 2023Diffusion Schr"odinger Bridge Matching29 Mar 2023
- 2023OST: Refining Text Knowledge with Optimal Spatio-Temporal Descriptor for General Video Recognitioncited by 16
- 2024Multimodal Misinformation Detection by Learning from Synthetic Data with Multimodal LLMscited by 13
- 2025Enhancing 3D Medical Image Understanding with Pretraining Aided by 2D Multimodal Large Language Modelscited by 1
- 2025Enhancing 3D Medical Image Understanding with Pretraining Aided by 2D Multimodal Large Language Models11 Sep 2025
- 2024Multimodal Misinformation Detection by Learning from Synthetic Data with Multimodal LLMs29 Sep 2024
- 2023OST: Refining Text Knowledge with Optimal Spatio-Temporal Descriptor for General Video Recognition30 Nov 2023
- 2026When Sample Selection Bias Precipitates Model Collapsecited by 1
- 2026When Sample Selection Bias Precipitates Model Collapse11 Jun 2026
- 2021Unbalanced minibatch Optimal Transport; applications to Domain Adaptationcited by 125
- 2021Predicting with Confidence on Unseen Distributionscited by 116
- 2022Deep Unsupervised Domain Adaptation: A Review of Recent Advances and Perspectivescited by 98
- 2021Domain Impression: A Source Data Free Domain Adaptation Methodcited by 91
- 2023LAVA: Data Valuation without Pre-Specified Learning Algorithmscited by 69
- 2023Recent Advances in Optimal Transport for Machine Learningcited by 66
- 2021A Prototype-Oriented Framework for Unsupervised Domain Adaptationcited by 62
- 2023Domain Adaptation for Time Series Under Feature and Label Shiftscited by 60
- 2022Transferability in Deep Learning: A Surveycited by 57
- 2023Patch-Mix Transformer for Unsupervised Domain Adaptation: A Game Perspectivecited by 54
- 2021Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projectionscited by 53
- 2021f-Domain-Adversarial Learning: Theory and Algorithmscited by 47
12 most cited of 265 All 265 (JSON)
- 2026MID: Mask-Image Distributional Divergence for Evaluating Medical Image Segmentation12 Oct 2026
- 2026Adaptive Bregman Alternating Projections for Feasible Gromov-Wasserstein Learning3 Oct 2026
- 2026FLOW: Feature-Level Optimal Warping for Generalized Remote Physiological Measurement30 Sep 2026
- 2026Optimal transport meets speech: a tutorial review24 Sep 2026
- 2026General Quantification of Covariate and Concept Shifts10 Sep 2026
- 2026Conformal Calibration Transfer9 Sep 2026
- 2026Conformal Risk Minimization for Semi-Supervised Domain Adaptation via Optimal Transport24 Aug 2026
- 2026Density-Reweighted Entropic Optimal Transport: Decoupling Geometry from Sampling Density17 Aug 2026
- 2026Mind the Residual Gap: Probabilistic Downscaling under Real-World Bias29 Jun 2026
- 2026Bridging Vision and Language Concepts through Optimal Transport Semantic Flow25 Jun 2026
- 2026Distribution Alignment for One-Shot Federated Learning via Optimal Transport15 Jun 2026
- 2026A Riemannian Approach to Low-Rank Optimal Transport10 Jun 2026
12 newest of 265 All 265 (JSON)