mlsanityData to 14 Oct 2026

CDMD: A Cross-Dataset Mixed-Type Diffusion Model for Tabular Data

arXiv 2609.39124 ↗First posted 30 Sep 2026cs.LGcited by 0

On the map: Diffusion models → Diffusion foundations and sampling

Abstract (arXiv)

Generative models for tabular data are typically trained separately for each dataset, limiting knowledge transfer and requiring the storage of many specialized models. In this paper, we introduce CDMD, a tabular diffusion model trained jointly across heterogeneous datasets with different schemas and variable numbers of numerical and categorical features. Unlike existing cross-dataset tabular diffusion models that operate in continuous representation spaces, CDMD defines diffusion directly over the mixed-type feature space and is trained end-to-end. To accommodate heterogeneous categorical domains, we introduce a schema-restricted reverse-process parameterization for masked diffusion models, in which the output space dynamically adapts to each feature's vocabulary. We then compose numerical and categorical feature-level diffusion processes into a schema-dependent row-level process. A shared schema-aware Transformer denoiser captures dependencies between features and parameterizes the reverse process across varying schemas. On seven real-world datasets, a single jointly trained CDMD achieves the highest average generation quality among strong single-dataset and cross-dataset baselines, while using substantially fewer total parameters than the collection of separately trained models. Furthermore, pre-training on a corpus of 337 datasets improves generation on previously unseen datasets under both limited target data and limited adaptation epochs. These results demonstrate the potential of direct mixed-type diffusion for shared and transferable tabular data generation. Our code is available at https://github.com/ketatam/cdmd.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 31 of its 33 references that are in the map. First posted on arXiv 30 Sep 2026.

Builds on

31 of 33 references.

Closest ancestors · 3

Same direction, newest first

  1. 2022Elucidating the Design Space of Diffusion-Based Generative Models1 Jun
  2. 2021Structured Denoising Diffusion Models in Discrete State-Spaces7 Jul
  3. 2020Score-Based Generative Modeling through Stochastic Differential Equations26 Nov

Other references · 28

  1. 2017Attention Is All You Needcited by 60,361
  2. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,058
  3. 2024Simple and Effective Masked Diffusion Language Modelscited by 848
  4. 2023Towards General Text Embeddings with Multi-stage Contrastive Learningcited by 723
  5. 2019Modeling Tabular data using Conditional GANcited by 699
  6. 2022TabPFN: A Transformer That Solves Small Tabular Classification Problems in a Secondcited by 674
  7. 2021Deep Neural Networks and Tabular Data: A Surveycited by 491
  8. 2022TabDDPM: Modelling Tabular Data with Diffusion Modelscited by 377
  9. 2022Language Models are Realistic Tabular Data Generatorscited by 294
  10. 2025TabICL: A Tabular Foundation Model for In-Context Learning on Large Datacited by 289
  11. 2021How Faithful is your Synthetic Data? Sample-level Metrics for Evaluating and Auditing Generative Modelscited by 196
  12. 2023Mixed-Type Tabular Data Synthesis with Score-based Diffusion in Latent Spacecited by 186
16 more
  1. 2024Why Tabular Foundation Models Should Be a Research Prioritycited by 106
  2. 2025LimiX: Unleashing Structured-Data Modeling Capability for Generalist Intelligencecited by 79
  3. 2023Synthcity: facilitating innovative use cases of synthetic data in different data modalitiescited by 76
  4. 2024TabDiff: a Mixed-type Diffusion Model for Tabular Data Generationcited by 63
  5. 2024Making Pre-trained Language Models Great on Tabular Predictioncited by 57
  6. 2023Beyond Privacy: Navigating the Opportunities and Challenges of Synthetic Datacited by 29
  7. 2024TabPFGen -- Tabular Data Generation with TabPFNcited by 28
  8. 2025A Comprehensive Survey of Synthetic Tabular Data Generationcited by 28
  9. 2023Towards Cross-Table Masked Pretraining for Web Data Miningcited by 21
  10. 2024TabEBM: A Tabular Data Augmentation Method with Distinct Class-Specific Energy-Based Modelscited by 16
  11. 2025A Survey on Deep Learning Approaches for Tabular Data Generation: Utility, Alignment, Fidelity, Privacy, Diversity, and Beyondcited by 15
  12. 2024CTSyn: A Foundation Model for Cross Tabular Data Generationcited by 14
  13. 2024LaTable: Towards Large Tabular Modelscited by 8
  14. 2026TabFORGE: A Tabular Foundation Model for Generative Modellingcited by 3
  15. 2026TabDLM: Free-Form Tabular Data Generation via Joint Numerical-Language Diffusioncited by 1
  16. 2026Breaking the Quality-Privacy Tradeoff in Tabular Data Generation via In-Context Learningcited by 1

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  7. 2025CausalDiffTab: Mixed-Type Causal-Aware Diffusion for Tabular Data Generation
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