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. Constrained Code Generation with Discrete Diffusion

    May 16, 2026Lize Shao, Michael Cardei, Zichen Xie +2Constrained Generative ModelingConstrained Decoding

    University of Virginia

  2. StippleDiffusion: Capacity-Constrained Stippling using Controlled Diffusion

    May 15, 2026Ofir Gilad, Aleksander Plocharski, Przemyslaw Musialski +1Constrained Generative ModelingDiffusion Sampling

    Ben Gurion University of the Negev, Israel · Warsaw University of Technology, and Akces NCBR, Poland · New Jersey Institute of Technology, United States

  3. Generative Floor Plan Design with LLMs via Reinforcement Learning with Verifiable Rewards

    May 13, 2026Luis Lara, Aristides Milios, Zhi Hao Luo +5Constrained Generative ModelingGenerative Modeling

    Mila – Quebec AI Institute · Université de Montréal · Polytechnique Montréal +1

  4. Learning Local Constraints for Reinforcement-Learned Content Generators

    May 13, 2026Debosmita Bhaumik, Julian Togelius, Georgios N. Yannakakis +1Constrained Generative ModelingConstrained RL

    Institute of Digital Games, Msida, Malta · Game Innovation Lab, New York, New York, USA

  5. Constraint-Aware Flow Matching: Decision Aligned End-to-End Training for Constrained Sampling

    May 12, 2026Jacob K. Christopher, James E. Warner, Ferdinando FiorettoConstrained Generative ModelingFlow Matching

    University of Virginia · NASA Langley Research Center

  6. Enforcing Constraints in Generative Sampling via Adaptive Correction Scheduling

    May 11, 2026Noah Trupin, Yexiang XueConstrained Generative ModelingDiffusion Sampling

    Department of Computer Science, Purdue University

  7. Primal-Dual Guided Decoding for Constrained Discrete Diffusion

    May 10, 2026Federico Tomasi, Dmitrii Moor, Alice Wang +1Primal-Dual OptimizationConstrained Generative Modeling

    Spotify

  8. Towards Highly-Constrained Human Motion Generation with Retrieval-Guided Diffusion Noise Optimization

    May 8, 2026Hanchao Liu, Fang-Lue Zhang, Shining Zhang +2Constrained Generative ModelingRetrieval-Augmented Generation

    Tsinghua University · University of New South Wales

  9. Exact Regular-Constrained Variable-Order Markov Generation via Sparse Context-State Belief Propagation

    May 8, 2026François PachetConstrained Generative ModelingBelief Propagation

    LIP6, Sorbonne Université · Ynosound

  10. FlowPlace: Flow Matching for Chip Placement

    Apr 26, 2026Peng Xie, Ke Xue, Yunqi Shi +6Constrained Generative ModelingFlow Matching

    1State Key Laboratory of Novel Software Technology, Nanjing University, China · School of Artificial Intelligence, Nanjing University, China · 3Huawei Noah’s Ark Lab, China

  11. BrickNet: Graph-Backed Generative Brick Assembly

    Apr 24, 2026Peter Kulits, Cordelia SchmidConstrained Generative Modeling3D Asset Generation

    Inria, `Ecole Normale Sup`erieure, CNRS, PSL Research University · Max Planck Institute for Intelligent Systems, Tübingen

  12. UniCSG: Unified High-Fidelity Content-Constrained Style-Driven Generation via Staged Semantic and Frequency Disentanglement

    Apr 20, 2026Jingwei Yang, Ruoxi Wu, Wei Shen +4Constrained Generative ModelingDiffusion Transformer

    China University of Mining and Technology, Beijing, China · OPPO Artificial Intelligence Center, Beijing, China

  13. Efficient Diffusion Models under Nonconvex Equality and Inequality constraints via Landing

    Apr 20, 2026Kijung Jeon, Michael Muehlebach, Molei TaoConstrained Generative ModelingLangevin Dynamics

    Georgia Institute of Technology · Max Planck Institute for Int. Sys.

  14. DALM: A Domain-Algebraic Language Model via Three-Phase Structured Generation

    Apr 17, 2026Chao LiConstrained Generative ModelingKnowledge Conflicts in Language Models

  15. Schema-Key Wording as an Instruction Channel in Structured Generation under Constrained Decoding

    Apr 16, 2026Yifan LeConstrained Generative ModelingConstrained Decoding

    Independent Researcher

  16. Conflated Inverse Modeling to Generate Diverse and Temperature-Change Inducing Urban Vegetation Patterns

    Apr 14, 2026Baris Sarper Tezcan, Hrishikesh Viswanath, Rubab Saher +1Inverse DesignConstrained Generative Modeling

    Computer Science Purdue University, West Lafayette, IN, USA · Forestry and Natural Resources Purdue University, West Lafayette, IN, USA

  17. Generative Design for Direct-to-Chip Liquid Cooling for Data Centers

    Apr 13, 2026Zheng LiuPhysics-Informed Generative ModelingConstrained Generative Modeling

    University of Michigan-Dearborn Dearborn, MI

  18. Learning and Enforcing Context-Sensitive Control for LLMs

    Apr 12, 2026Mohammad Albinhassan, Pranava Madhyastha, Mark Law +1Constrained Generative ModelingGrammar-Constrained Decoding

    Imperial College London · City University of London · The Alan Turing Institute +1

  19. CircuitSynth: Reliable Synthetic Data Generation

    Apr 11, 2026Zehua Cheng, Wei Dai, Jiahao Sun +1Synthetic Data GenerationSynthetic Data Generation for Language Models

    Department of Computer Science, University of Oxford · Institute of Logic and Computation, TU Wien

  20. What a Comfortable World: Ergonomic Principles Guided Apartment Layout Generation

    Apr 9, 2026Piotr Nieciecki, Aleksander Plocharski, Przemyslaw MusialskiFloor Plan GenerationGenerative Modeling

    Warsaw University of Technology, Poland · Akces NCBR, Poland · New Jersey Institute of Technology, United States of America

  21. Coordinate-Based Dual-Constrained Autoregressive Motion Generation

    Apr 9, 2026Kang Ding, Hongsong Wang, Jie Gui +1Text-to-Motion GenerationHuman Motion Generation

    School of Cyber Science and Engineering, Southeast University, Nanjing 210096, China · School of Computer Science and Engineering, Key Laboratory of New Generation Artificial Intelligence Technology and Its Interdisciplinary Applications, Ministry of Education, Southeast University, Nanjing 210096, China · School of Cyber Science and Engineering, Southeast University, also with Purple Mountain Laboratories, Nanjing 211111, China, and also with Engineering Research Center of Blockchain Application, Supervision And Management (Southeast University), Ministry of Education, Southeast University, Nanjing 210096, China +1

  22. Hidden Biases in Conditioning Autoregressive Models

    Apr 9, 2026Francois Pachet, Pierre RoyConstrained Generative ModelingConstrained Decoding

    LIP6, Sorbonne Université · Soundtrap

  23. ExplainFuzz: Explainable and Constraint-Conditioned Test Generation with Probabilistic Circuits

    Apr 8, 2026Annaëlle Baiget, Jaron Maene, Seongmin Lee +3Automated Test GenerationConstrained Generative Modeling

    UCLA, USA · KU Leuven, Belgium

  24. ReLU Networks for Exact Generation of Similar Graphs

    Apr 7, 2026Mamoona Ghafoor, Tatsuya AkutsuGraph GenerationConstrained Generative Modeling

    Bioinformatics Center, Institute for Chemical Research, Department of Intelligence Sciences and Technology, Kyoto University, Uji 611-0011, Japan

  25. Physics-Constrained Adaptive Flow Matching for Climate Downscaling

    Apr 3, 2026Kevin Debeire, Aytaç Paçal, Pierre Gentine +3Climate DownscalingPhysics-Informed Generative Modeling

    Deutsches Zentrum für Luft- und Raumfahrt (DLR), Institut für Physik der Atmosphäre, Oberpfaffenhofen, Germany · School of Computation, Information and Technology, Technical University of Munich, Germany · LEAP Center, Columbia University, New York, NY, 10027, USA +1

  26. Generating DDPM-based Samples from Tilted Distributions

    Apr 3, 2026Himadri Mandal, Dhruman Gupta, Rushil Gupta +5Diffusion SamplingConstrained Generative Modeling

    Indian Statistical Institute, Kolkata. · Ashoka University. · Tata Institute of Fundamental Research +2

  27. HiDiGen: Hierarchical Diffusion for B-Rep Generation with Explicit Topological Constraints

    Apr 3, 2026Shurui Liu, Weide Chen, Ancong Wu3D Shape GenerationConstrained Generative Modeling

    School of Computer Science and Engineering, Sun Yat-sen University, China · School of Intelligent Systems Engineering, Shenzhen Campus of Sun Yat-sen University, China

  28. Generative models on phase space

    Apr 2, 2026Zachary Bogorad, Ibrahim Elsharkawy, Yonatan Kahn +2Generative ModelingConstrained Generative Modeling

    Theory Division, Fermi National Accelerator Laboratory, Batavia, IL, USA · Department of Physics, University of Toronto and Vector Institute, Toronto, ON, Canada and NERSC, Lawrence Berkeley National Laboratory, Berkeley, California, USA · Department of Physics, University of Toronto and Vector Institute, Toronto, ON, Canada +2

  29. AeroTherm-GPT: A Verification-Centered LLM Framework for Thermal Protection System Engineering Workflows

    Apr 2, 2026Chuhan Qiao, Jinglai Zheng, Jie Huang +3LLM Agent Workflow OptimizationConstrained Generative Modeling

    School of Civil Engineering, Beijing Jiaotong University, Beijing, 100044, China · Beijing Research Institute of Telemetry, Beijing, 100076, China

  30. iPoster: Content-Aware Layout Generation for Interactive Poster Design via Graph-Enhanced Diffusion Models

    Mar 31, 2026Xudong Zhou, Jinyuan Liang, Qiuyi Guo +1Constrained Generative ModelingDiffusion Models

    Beijing Institute of Technology, Beijing, China