Constrained Generative Modeling

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Overview

Constrained generative modeling studies how to generate useful samples while respecting requirements such as grammatical rules, molecular validity, physical laws, or safe trajectories. Common approaches include grammar and automaton-based decoding, diffusion and flow-matching methods with projections or primal-dual guidance, and models that build constraints into their representations or training objectives. Applications range from structured text and synthetic data to molecules, motion planning, scientific fields, and engineering design, with evaluation often balancing constraint satisfaction against sample quality, diversity, and computational cost. A central challenge is that enforcing feasibility does not necessarily preserve the model’s intended distribution or uncertainty, so methods must limit bias while remaining efficient and reliable under complex constraints.

Latest papers

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192 papers50 papers in the last four weeks, up 163% on the four weeks before. 0.3% of all new papers.

  1. Framework-Conditional Open Materials Generation

    Oct 29, 2026Maya M. Martirossyan, Hillary Pan, Philipp Höllmer +1Crystal Structure GenerationMaterials Discovery

    NYU Langone Health · New York University

  2. AegisFlow: Training-Free Non-Myopic Path-Safe Guided Flow Matching

    Oct 29, 2026Kunpeng Liu, Boshi Zhang, Keyou YouConstrained Generative ModelingFlow-Based Generative Modeling

    Department of Automation and BNRist, Tsinghua University, Beijing, China

  3. Discovery of Diverse and Realistic Financial Tail-Risk Using Generative Flow Networks

    Oct 28, 2026Adir Serruya, Gilad KatzGenerative Flow NetworksDiversity-Aware Sampling

    Faculty of Computer and Information Science, Ben-Gurion University of the Negev, Beer-Sheva, Israel

  4. AtomSteer: Test-Time Constraint Steering for Atomistic Generative Models

    Oct 28, 2026Pengfei Cai, Katharina S. C. Jäger, Utkarsh Utkarsh +4Constrained Generative ModelingCrystal Structure Generation

    Massachusetts Institute of Technology

  5. Condition-Enhanced Generative Adversarial Network for Aerodynamic Configuration Design of Commercial Aircraft

    Oct 25, 2026Youzheng Yu, Jiaqing Kou, Weiwei ZhangConditional Generative ModelingGenerative Adversarial Networks

    School of Aeronautics, Northwestern Polytechnical University, Xi’an, 710072, People’s Republic of China · International Joint Institute of Artificial Intelligence on Fluid Mechanics, Northwestern Polytechnical University, Xi’an, 710072, People’s Republic of China · National Key Laboratory of Aircraft Configuration Design, Xi’an, 710072, People’s Republic of China

  6. From Structured Records to Patient Narratives: Preserving Clinical Alignment in LLM-Generated Health Summaries

    Oct 22, 2026Bayram Ayadi, Florian Geissler, Johanna SchmidhuberText SummarizationHealthcare

    University of Passau, Passau, Germany · Fraunhofer Institute for Cognitive Systems IKS, Munich, Germany

  7. Inverse Modeling for Laser Pulse Shape Design in Inertial Confinement Fusion

    Oct 22, 2026Ricardo Luna Gutierrez, Vineet Gundecha, Rahman Ejaz +5Inverse DesignConstrained Generative Modeling

    Hewlett Packard Enterprise · University of Rochester

  8. Orbitol: Crystal Generation on Wyckoff Orbits

    Oct 21, 2026Ivan Žugec, Joshua Rosenthal, Ivor Lončarić +2Crystal Structure GenerationMaterials Discovery

    Atomic Intelligence, Zagreb, Croatia · University of Amsterdam · Ruđer Bošković Institute

  9. CrystalAR: Autoregressive Modeling for Symmetric Crystal Generation

    Oct 20, 2026Ziqiao Meng, Rongsheng Chen, Zhi Zheng +4Crystal Structure GenerationCrystal Structure Prediction

    Institute for Functional Intelligent Materials (IFIM), National University of Singapore · School of Computing, National University of Singapore · Southern University of Science and Technology

  10. CAST: Cast-Admissible Generative Design and Shape Optimization with Paired Depth Images

    Oct 19, 2026Jihoon Kim, Yongmin Kwon, Namwoo Kang3D Shape GenerationConstrained Generative Modeling

    Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea · Narnia Labs, Daejeon 34051, Republic of Korea · Cho Chun Shik Graduate School of Mobility, Korea Advanced Institute of Science and Technology, Daejeon 34051, Republic of Korea

  11. TopoCompile: Molecular Generation with Exact Global Count Constraints

    Oct 17, 2026Xiang Wu, Rong-Hua Li, Quanqing Xu +2Molecular GenerationMolecular Graph Generation

  12. Logic-Guided Graph Denoising Diffusion Models

    Oct 16, 2026Samuel Cognolato, Luciano Serafini, Alessandro Sperduti +1Graph GenerationConstrained Generative Modeling

    Department of Mathematics “Tullio Levi-Civita”, University of Padova, Padova, Italy · Fondazione Bruno Kessler (FBK), Trento, Italy · Human Inspired Technology Research Centre (HIT), University of Padova, Padova, Italy +1

  13. PONDER: Learning to Generate in the Right Order

    Oct 16, 2026Julius Erbach, Dominik Narnhofer, Bernt Schiele +2RL for Generative ModelsAutoregressive Image Generation

    ETH Zurich · Max Planck Institute for Informatics, Saarland Informatics Campus · Saarland University

  14. RenoLayout: Unified Floorplan Renovation and Furniture Layout for Constraint-Aware Residential Design

    Oct 15, 2026Jingguo Liu, Yuanqing Liu, Chong Zhang +1Constrained Generative ModelingIndoor Scene Generation

    Beike

  15. Mine, Sample, Render: Test-Time Diversity Alignment Of Generative Models

    Oct 15, 2026Kostas Triaridis, Morris E. Sharp, Nebojsa JojicGenerative ModelingDiversity-Aware Sampling

    Stony Brook University · Microsoft

  16. Score Mismatch and Set-Constrained Sampling in Zero-Shot Conditional Discrete Diffusion

    Oct 15, 2026Renxiang Huang, Yuchen Liang, Yingbin Liang +2Diffusion ModelsDiffusion Sampling

    Department of Electrical and Computer Engineering, University of California, Davis, Davis, CA, 95616, USA · Luddy School of Informatics, Computing, and Engineering, Indiana University Indianapolis, Indianapolis, IN, 46202, USA · Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, 43210, USA

  17. Machine-learning-based neutrino-event generation constrained by experimental measurements

    Oct 14, 2026Jose Luis Bonilla, Krzysztof M. Graczyk, Rwik Dharmapal Banerjee +3High-Energy PhysicsConstrained Generative Modeling

    Institute of Theoretical Physics, University of Wrocław, plac Maxa Borna 9, 50-204, Wrocław, Poland

  18. SNACK: A Sequential Notation Framework for Probabilistic Graph Generation

    Oct 14, 2026Hohyun Kim, Hyesung Kim, Min-hwan Oh +1Graph GenerationConstrained Generative Modeling

    Seoul National University

  19. Exact Topological Compliance: Generating Persistence-Equivalent Graphs

    Oct 13, 2026Mattie Ji, Indradyumna Roy, Vikas GargGraph ConstructionConstrained Generative Modeling

    University of Pennsylvania · Equal Contributions. · Aalto University +1

  20. Characterizing and Mitigating Distributional Bias in Physics-Informed Generative Models

    Oct 12, 2026Tanja Bien, Samir Darouich, Lluís Pastor-Pérez +3Physics-Informed Generative ModelingPhysics-Informed Diffusion Models

    University of Stuttgart

  21. When do explicit penalties improve flow matching?

    Oct 11, 2026Lea Kunkel, Alberto González-Sanz, Sophie LangerFlow MatchingConstrained Generative Modeling

  22. MontageFlow: Physically Valid High Fidelity EEG Generation

    Oct 10, 2026Sudarshan Regmi, Nabaraj Subedi, Arvind Pillai +6EEG Signal GenerationTime Series Generation

    Dartmouth College

  23. ConicFlow: constrained Inference-time optimal control for flow matching models

    Oct 9, 2026Shervin Khalafi, Kasra Fallah, Sung Cho +3Constrained Generative ModelingConstrained Sampling

    University of Pennsylvania · Columbia University · University of Tennessee, Knoxville

  24. CorrFlow: Exact and Permutation-Equivariant Flow Matching on the Correlation Elliptope

    Oct 9, 2026Gautier MartiPermutation-Equivariant Neural NetworksConstrained Generative Modeling

    Abu Dhabi Investment Authority (ADIA), Abu Dhabi, United Arab Emirates

  25. Looking Ahead and Back: Anticipatory Generative Modeling for Road-Network Trajectories

    Oct 9, 2026Zhenhao Huang, Li Sun, Philip S. YuTrajectory GenerationConstrained Generative Modeling

    North China Electric Power University · Beijing University of Posts and Telecommunications · University of Illinois Chicago

  26. Localized Generative Design of Ship Hulls with Diffusion Models and High-Fidelity Assessment

    Oct 9, 2026Hadi Keramati, Mohammed A. Hannan, Patrick Kirchen +4Generative ModelingConstrained Generative Modeling

    Department of Mechanical Engineering, University of British Columbia, Vancouver, BC, Canada · Elomatic Consulting Inc., Vancouver, BC, Canada · InnovMarine Inc., Lévis, QC, Canada

  27. Primal-Dual Flow Matching for Sample-Wise Constrained Generation

    Oct 8, 2026Zhengyan Huan, Peter Y. Lu, Shuchin AeronConstrained Generative ModelingConstrained Sampling

    Department of Electrical and Computer Engineering, Tufts University · NSF AI Institute for Artificial Intelligence and Fundamental Interactions

  28. Think Before You Paint: Recursive Latent Reasoning for Diffusion Models

    Oct 7, 2026Paweł Skierś, Małgorzata Grzanka, Wojciech Masarczyk +2Latent Visual ReasoningDiffusion Models

    Warsaw University of Technology · IDEAS Research Institute · University of Amsterdam

  29. Constrained Diffusion for Data-Scarce Orbital Monte Carlo in Constellation Tasking

    Oct 7, 2026Omar Ramadan, Sam Siavoshian, Amir Kashif Saeed +3Constrained Generative ModelingPhysics-Informed Diffusion Models

    Whiting School of Engineering Johns Hopkins University 3400 N. Charles St. Baltimore, MD 21218, USA

  30. Evolutionary One-Step Generators: Fast and Diverse Sampling for Discrete Design

    Oct 6, 2026Marcus Vukojevic, Erik Nielsen, Veronica Lachi +2Constrained Generative ModelingGraph Generation

    University of Trento, Italy · UiT The Arctic University of Norway, Tromsø, Norway