CoDi: Co-evolving Contrastive Diffusion Models for Mixed-type Tabular Synthesis
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
With growing attention to tabular data these days, the attempt to apply a synthetic table to various tasks has been expanded toward various scenarios. Owing to the recent advances in generative modeling, fake data generated by tabular data synthesis models become sophisticated and realistic. However, there still exists a difficulty in modeling discrete variables (columns) of tabular data. In this work, we propose to process continuous and discrete variables separately (but being conditioned on each other) by two diffusion models. The two diffusion models are co-evolved during training by reading conditions from each other. In order to further bind the diffusion models, moreover, we introduce a contrastive learning method with a negative sampling method. In our experiments with 11 real-world tabular datasets and 8 baseline methods, we prove the efficacy of the proposed method, called CoDi.
Key facts. Cited by 78 papers in the map (data through 14 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 25 of its 57 references that are in the map. First posted on arXiv 25 Apr 2023.
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25 of 57 references.
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Other references · 24
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- 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,719
- 2021Revisiting Deep Learning Models for Tabular Datacited by 740
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- 2018Data Synthesis based on Generative Adversarial Networkscited by 185
- 2021CTAB-GAN: Effective Table Data Synthesizingcited by 156
- 2022SOS: Score-based Oversampling for Tabular Datacited by 29
- 2021OCT-GAN: Neural ODE-based Conditional Tabular GANscited by 27
- 2022Invertible Tabular GANs: Killing Two Birds with OneStone for Tabular Data Synthesiscited by 24
- 2018Generating Synthetic but Plausible Healthcare Record Datasetscited by 12
- 2022An Empirical Study on the Membership Inference Attack against Tabular Data Synthesis Modelscited by 6
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Citing papers per year: 2023: 9; 2024: 22; 2025: 27; 2026: 20.
78 papers.
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- 2023Mixed-Type Tabular Data Synthesis with Score-based Diffusion in Latent Spacecited by 186
- 2024Large Language Models(LLMs) on Tabular Data: Prediction, Generation, and Understanding -- A Surveycited by 159
- 2024TabDiff: a Mixed-type Diffusion Model for Tabular Data Generationcited by 63
- 2023Enhancing Deep Reinforcement Learning: A Tutorial on Generative Diffusion Models in Network Optimizationcited by 56
- 2025Representation Learning for Tabular Data: A Comprehensive Surveycited by 36
- 2024ClavaDDPM: Multi-relational Data Synthesis with Cluster-guided Diffusion Modelscited by 28
- 2025A Comprehensive Survey of Synthetic Tabular Data Generationcited by 28
- 2024Language-driven Grasp Detectioncited by 26
- 2023AutoDiff: combining Auto-encoder and Diffusion model for tabular data synthesizingcited by 24
- 2025Diffuse Everything: Multimodal Diffusion Models on Arbitrary State Spacescited by 21
- 2024A Survey on Diffusion Models for Recommender Systemscited by 20
- 2024Systematic Assessment of Tabular Data Synthesiscited by 18
38 more
- 2023Continuous Diffusion for Mixed-Type Tabular Datacited by 17
- 2023DiSK: A Diffusion Model for Structured Knowledgecited by 16
- 2024Self-Supervision Improves Diffusion Models for Tabular Data Imputationcited by 16
- 2024TabEBM: A Tabular Data Augmentation Method with Distinct Class-Specific Energy-Based Modelscited by 16
- 2024Diffusion Models for Tabular Data Imputation and Synthetic Data Generationcited by 15
- 2024Tabular Data Augmentation for Machine Learning: Progress and Prospects of Embracing Generative AIcited by 15
- 2025A Survey on Deep Learning Approaches for Tabular Data Generation: Utility, Alignment, Fidelity, Privacy, Diversity, and Beyondcited by 15
- 2025Exponential Family Variational Flow Matching for Tabular Data Generationcited by 15
- 2025TabularARGN: A Flexible and Efficient Auto-Regressive Framework for Generating High-Fidelity Synthetic Datacited by 14
- 2023CuTS: Customizable Tabular Synthetic Data Generationcited by 13
- 2025A Survey on Diffusion Models for Anomaly Detectioncited by 13
- 2024Balanced Mixed-Type Tabular Data Synthesis with Diffusion Modelscited by 12
- 2025TabGen-ICL: Residual-Aware In-Context Example Selection for Tabular Data Generationcited by 10
- 2024DiffLM: Controllable Synthetic Data Generation via Diffusion Language Modelscited by 9
- 2025LLM-TabLogic: Preserving Inter-Column Logical Relationships in Synthetic Tabular Data via Prompt-Guided Latent Diffusioncited by 9
- 2023A Comprehensive Survey on Generative Diffusion Models for Structured Datacited by 8
- 2024Causality for Tabular Data Synthesis: A High-Order Structure Causal Benchmark Frameworkcited by 8
- 2025Diffusion and Flow Matching Models for Tabular Data: A Surveycited by 8
- 2025Anomaly Detection and Generation with Diffusion Models: A Surveycited by 8
- 2023Boosting Data Analytics With Synthetic Volume Expansioncited by 7
- 2024Understanding and Mitigating Memorization in Diffusion Models for Tabular Datacited by 7
- 2024AIGC for Industrial Time Series: From Deep Generative Models to Large Generative Modelscited by 6
- 2024Tabular Data Synthesis with Differential Privacy: A Surveycited by 6
- 2025Position: Foundation Models for Tabular Data within Systemic Contexts Need Groundingcited by 6
- 2024Guided Discrete Diffusion for Electronic Health Record Generationcited by 5
- 2024TimeAutoDiff: A Unified Framework for Generation, Imputation, Forecasting, and Time-Varying Metadata Conditioning of Heterogeneous Time Series Tabular Datacited by 5
- 2024Your Diffusion Model is Secretly a Noise Classifier and Benefits from Contrastive Trainingcited by 5
- 2025TabRep: Training Tabular Diffusion Models with a Simple and Effective Continuous Representationcited by 5
- 2025Diffusion Transformers for Tabular Data Time Series Generationcited by 5
- 2025SynCoGen: Synthesizable 3D Molecule Generation via Joint Reaction and Coordinate Modelingcited by 5
- 2024Diffusion-nested Auto-Regressive Synthesis of Heterogeneous Tabular Datacited by 4
- 2026Cascaded Flow Matching for Heterogeneous Tabular Data with Mixed-Type Featurescited by 4
- 2025Evaluating Inter-Column Logical Relationships in Synthetic Tabular Data Generationcited by 3
- 2025A Diffusion-Based Method for Learning the Multi-Outcome Distribution of Medical Treatmentscited by 3
- 2025CausalDiffTab: Mixed-Type Causal-Aware Diffusion for Tabular Data Generationcited by 3
- 2025A Generalized Theory of Mixup for Structure-Preserving Synthetic Datacited by 2
- 2026MIDST Challenge at SaTML 2025: Membership Inference over Diffusion-models-based Synthetic Tabular datacited by 2
- 2026Learning to Interrupt in Language-based Multi-agent Communicationcited by 2
50 most cited of 78 All 78 (JSON)
- 2026FUSE: Feature-Wise Unified Specialization with Cross-Column Exchange for Mixed-Type Tabular Flow Matching7 Aug 2026
- 2026FairDiffuseVQVAE: Sampling-Time Fairness in Tabular Diffusion via Conditional Refinement of Vector-Quantized Latents31 Jul 2026
- 2026Measuring the Dependency Gap: Diagnosing Inter-Column Fidelity in Tabular Generative Models20 Jul 2026
- 2026BSTabDiff: Block-Subunit Diffusion Priors for High-Dimensional Tabular Data Generation8 Jun 2026
- 2026AugMask: Training Diffusion Models on Incomplete Tabular Data via Stochastic Augmentation and Masking2 Jun 2026
- 2026Generating Logically Consistent Synthetic Supply Chain Data with LLM-Driven Knowledge Graph Reasoning26 May 2026
- 2026Geometry-Aware Tabular Diffusion23 May 2026
- 2026TabKDE: Simple and Scalable Tabular Data Generation with Kernel Density Estimates17 May 2026
- 2026Mixed neural posterior estimation for simulators with discrete and continuous parameters13 May 2026
- 2026Inference-Time Refinement Closes the Synthetic-Real Gap in Tabular Diffusion7 May 2026
- 2026Breaking the Quality-Privacy Tradeoff in Tabular Data Generation via In-Context Learning6 May 2026
- 2026Learning to Interrupt in Language-based Multi-agent Communication7 Apr 2026
38 more
- 2026Stable and Privacy-Preserving Synthetic Educational Data with Empirical Marginals: A Copula-Based Approach5 Apr 2026
- 2026CDMT-EHR: A Continuous-Time Diffusion Framework for Generating Mixed-Type Time-Series Electronic Health Records24 Mar 2026
- 2026A Sobering Look at Tabular Data Generation via Probabilistic Circuits24 Mar 2026
- 2026MIDST Challenge at SaTML 2025: Membership Inference over Diffusion-models-based Synthetic Tabular data19 Mar 2026
- 2026TabDLM: Free-Form Tabular Data Generation via Joint Numerical-Language Diffusion26 Feb 2026
- 2026From Noise to Order: Learning to Rank via Denoising Diffusion12 Feb 2026
- 2026Cascaded Flow Matching for Heterogeneous Tabular Data with Mixed-Type Features30 Jan 2026
- 2026Exploring Transformer Placement in Variational Autoencoders for Tabular Data Generation28 Jan 2026
- 2025Exploring the Heterogeneity of Tabular Data: A Diversity-aware Data Generator via LLMs26 Dec 2025
- 2025Privacy Preserving Diffusion Models for Mixed-Type Tabular Data Generation29 Nov 2025
- 2025Boosting Predictive Performance on Tabular Data through Data Augmentation with Latent-Space Flow-Based Diffusion20 Nov 2025
- 2025Privacy-Preserving Tabular Synthetic Data Generation Using TabularARGN8 Aug 2025
- 2025SynCoGen: Synthesizable 3D Molecule Generation via Joint Reaction and Coordinate Modeling16 Jul 2025
- 2025Taming Data Challenges in ML-based Security Tasks Using Generative AI8 Jul 2025
- 2025CausalDiffTab: Mixed-Type Causal-Aware Diffusion for Tabular Data Generation17 Jun 2025
- 2025Anomaly Detection and Generation with Diffusion Models: A Survey11 Jun 2025
- 2025Diffuse Everything: Multimodal Diffusion Models on Arbitrary State Spaces9 Jun 2025
- 2025Exponential Family Variational Flow Matching for Tabular Data Generation6 Jun 2025
- 2025A Diffusion-Based Method for Learning the Multi-Outcome Distribution of Medical Treatments2 Jun 2025
- 2025A Closer Look on Memorization in Tabular Diffusion Model: A Data-Centric Perspective28 May 2025
- 2025Position: Foundation Models for Tabular Data within Systemic Contexts Need Grounding26 May 2025
- 2025High-Fidelity And Complex Test Data Generation For Google SQL Code Generation Services24 Apr 2025
- 2025A Comprehensive Survey of Synthetic Tabular Data Generation23 Apr 2025
- 2025Representation Learning for Tabular Data: A Comprehensive Survey17 Apr 2025
- 2025Diffusion Transformers for Tabular Data Time Series Generation10 Apr 2025
- 2025TabRep: Training Tabular Diffusion Models with a Simple and Effective Continuous Representation7 Apr 2025
- 2025Towards Synthesizing High-Dimensional Tabular Data with Limited Samples9 Mar 2025
- 2025A Survey on Deep Learning Approaches for Tabular Data Generation: Utility, Alignment, Fidelity, Privacy, Diversity, and Beyond7 Mar 2025
- 2025LLM-TabLogic: Preserving Inter-Column Logical Relationships in Synthetic Tabular Data via Prompt-Guided Latent Diffusion4 Mar 2025
- 2025A Generalized Theory of Mixup for Structure-Preserving Synthetic Data3 Mar 2025
- 2025Diffusion and Flow Matching Models for Tabular Data: A Survey24 Feb 2025
- 2025TabGen-ICL: Residual-Aware In-Context Example Selection for Tabular Data Generation23 Feb 2025
- 2025Evaluating Inter-Column Logical Relationships in Synthetic Tabular Data Generation6 Feb 2025
- 2025TabularARGN: A Flexible and Efficient Auto-Regressive Framework for Generating High-Fidelity Synthetic Data21 Jan 2025
- 2025A Survey on Diffusion Models for Anomaly Detection20 Jan 2025
- 2024Understanding and Mitigating Memorization in Diffusion Models for Tabular Data15 Dec 2024
- 2024DiffLM: Controllable Synthetic Data Generation via Diffusion Language Models5 Nov 2024
- 2024Tabular Data Synthesis with Differential Privacy: A Survey4 Nov 2024
50 newest of 78 All 78 (JSON)
- 2023Mixed-Type Tabular Data Synthesis with Score-based Diffusion in Latent Spacecited by 186
- 2024TabDiff: a Mixed-type Diffusion Model for Tabular Data Generationcited by 63
- 2023Enhancing Deep Reinforcement Learning: A Tutorial on Generative Diffusion Models in Network Optimizationcited by 56
- 2024ClavaDDPM: Multi-relational Data Synthesis with Cluster-guided Diffusion Modelscited by 28
- 2025A Comprehensive Survey of Synthetic Tabular Data Generationcited by 28
- 2024Language-driven Grasp Detectioncited by 26
- 2023AutoDiff: combining Auto-encoder and Diffusion model for tabular data synthesizingcited by 24
- 2025Diffuse Everything: Multimodal Diffusion Models on Arbitrary State Spacescited by 21
- 2024A Survey on Diffusion Models for Recommender Systemscited by 20
- 2023Continuous Diffusion for Mixed-Type Tabular Datacited by 17
- 2023DiSK: A Diffusion Model for Structured Knowledgecited by 16
- 2024Self-Supervision Improves Diffusion Models for Tabular Data Imputationcited by 16
12 most cited of 38 All 38 (JSON)
- 2026FUSE: Feature-Wise Unified Specialization with Cross-Column Exchange for Mixed-Type Tabular Flow Matching7 Aug 2026
- 2026BSTabDiff: Block-Subunit Diffusion Priors for High-Dimensional Tabular Data Generation8 Jun 2026
- 2026AugMask: Training Diffusion Models on Incomplete Tabular Data via Stochastic Augmentation and Masking2 Jun 2026
- 2026Geometry-Aware Tabular Diffusion23 May 2026
- 2026MIDST Challenge at SaTML 2025: Membership Inference over Diffusion-models-based Synthetic Tabular data19 Mar 2026
- 2026TabDLM: Free-Form Tabular Data Generation via Joint Numerical-Language Diffusion26 Feb 2026
- 2026From Noise to Order: Learning to Rank via Denoising Diffusion12 Feb 2026
- 2026Cascaded Flow Matching for Heterogeneous Tabular Data with Mixed-Type Features30 Jan 2026
- 2025Privacy Preserving Diffusion Models for Mixed-Type Tabular Data Generation29 Nov 2025
- 2025Boosting Predictive Performance on Tabular Data through Data Augmentation with Latent-Space Flow-Based Diffusion20 Nov 2025
- 2025Anomaly Detection and Generation with Diffusion Models: A Survey11 Jun 2025
- 2025Diffuse Everything: Multimodal Diffusion Models on Arbitrary State Spaces9 Jun 2025
12 newest of 38 All 38 (JSON)
- 2024Large Language Models(LLMs) on Tabular Data: Prediction, Generation, and Understanding -- A Surveycited by 159
- 2025Representation Learning for Tabular Data: A Comprehensive Surveycited by 36
- 2024TabEBM: A Tabular Data Augmentation Method with Distinct Class-Specific Energy-Based Modelscited by 16
- 2024Tabular Data Augmentation for Machine Learning: Progress and Prospects of Embracing Generative AIcited by 15
- 2025A Survey on Deep Learning Approaches for Tabular Data Generation: Utility, Alignment, Fidelity, Privacy, Diversity, and Beyondcited by 15
- 2025TabularARGN: A Flexible and Efficient Auto-Regressive Framework for Generating High-Fidelity Synthetic Datacited by 14
- 2023CuTS: Customizable Tabular Synthetic Data Generationcited by 13
- 2025TabGen-ICL: Residual-Aware In-Context Example Selection for Tabular Data Generationcited by 10
- 2024Causality for Tabular Data Synthesis: A High-Order Structure Causal Benchmark Frameworkcited by 8
- 2023Boosting Data Analytics With Synthetic Volume Expansioncited by 7
- 2024AIGC for Industrial Time Series: From Deep Generative Models to Large Generative Modelscited by 6
- 2024Tabular Data Synthesis with Differential Privacy: A Surveycited by 6
12 most cited of 37 All 37 (JSON)
- 2026FairDiffuseVQVAE: Sampling-Time Fairness in Tabular Diffusion via Conditional Refinement of Vector-Quantized Latents31 Jul 2026
- 2026Measuring the Dependency Gap: Diagnosing Inter-Column Fidelity in Tabular Generative Models20 Jul 2026
- 2026Generating Logically Consistent Synthetic Supply Chain Data with LLM-Driven Knowledge Graph Reasoning26 May 2026
- 2026TabKDE: Simple and Scalable Tabular Data Generation with Kernel Density Estimates17 May 2026
- 2026Mixed neural posterior estimation for simulators with discrete and continuous parameters13 May 2026
- 2026Inference-Time Refinement Closes the Synthetic-Real Gap in Tabular Diffusion7 May 2026
- 2026Breaking the Quality-Privacy Tradeoff in Tabular Data Generation via In-Context Learning6 May 2026
- 2026Stable and Privacy-Preserving Synthetic Educational Data with Empirical Marginals: A Copula-Based Approach5 Apr 2026
- 2026CDMT-EHR: A Continuous-Time Diffusion Framework for Generating Mixed-Type Time-Series Electronic Health Records24 Mar 2026
- 2026A Sobering Look at Tabular Data Generation via Probabilistic Circuits24 Mar 2026
- 2026Exploring Transformer Placement in Variational Autoencoders for Tabular Data Generation28 Jan 2026
- 2025Exploring the Heterogeneity of Tabular Data: A Diversity-aware Data Generator via LLMs26 Dec 2025
12 newest of 37 All 37 (JSON)
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- 2024CTSyn: A Foundation Model for Cross Tabular Data Generation
- 2026TabMosaic: Unified In-Context Diffusion for Tabular Generative Tasks
- 2026CDMD: A Cross-Dataset Mixed-Type Diffusion Model for Tabular Data
- 2026Generating Benchmark Health Data Using a Tabular Diffusion Transformer
- 2020Tabular GANs for uneven distribution
- 2023MissDiff: Training Diffusion Models on Tabular Data with Missing Values
- 2022TabDDPM: Modelling Tabular Data with Diffusion Models
- 2026MIND: Marginal-Invariant Neural Dependency Diffusion for Mixed-Type Tabular Generation