{"total":49,"rows":[{"id":"2310.09336","title":"Compositional Abilities Emerge Multiplicatively: Exploring Diffusion Models on a Synthetic Task","created":"2023-10-13","cited_by_count":93,"area":"diffusion"},{"id":"2305.17209","title":"Functional Flow Matching","created":"2023-05-26","cited_by_count":67,"area":"diffusion"},{"id":"2506.04171","title":"Physics-Constrained Flow Matching: Sampling Generative Models with Hard Constraints","created":"2025-06-04","cited_by_count":52,"area":"diffusion"},{"id":"2302.10130","title":"Infinite-Dimensional Diffusion Models","created":"2023-02-20","cited_by_count":39,"area":"diffusion"},{"id":"2303.00800","title":"Continuous-Time Functional Diffusion Processes","created":"2023-03-01","cited_by_count":39,"area":"diffusion"},{"id":"2305.19147","title":"Conditional score-based diffusion models for Bayesian inference in infinite dimensions","created":"2023-05-28","cited_by_count":38,"area":"diffusion"},{"id":"2412.01786","title":"Gradient-Free Generation for Hard-Constrained Systems","created":"2024-12-02","cited_by_count":38,"area":"diffusion"},{"id":"2303.04772","title":"Multilevel Diffusion: Infinite Dimensional Score-Based Diffusion Models for Image Generation","created":"2023-03-08","cited_by_count":37,"area":"diffusion"},{"id":"2505.17004","title":"Guided Diffusion Sampling on Function Spaces with Applications to PDEs","created":"2025-05-22","cited_by_count":36,"area":"diffusion"},{"id":"2412.04833","title":"Wavelet Diffusion Neural Operator","created":"2024-12-06","cited_by_count":29,"area":"diffusion"},{"id":"2303.18242","title":"$\\infty$-Diff: Infinite Resolution Diffusion with Subsampled Mollified States","created":"2023-03-31","cited_by_count":21,"area":"diffusion"},{"id":"2410.16152","title":"Warped Diffusion: Solving Video Inverse Problems with Image Diffusion Models","created":"2024-10-21","cited_by_count":21,"area":"diffusion"},{"id":"2506.07902","title":"FunDiff: Diffusion Models over Function Spaces for Physics-Informed Generative Modeling","created":"2025-06-09","cited_by_count":20,"area":"diffusion"},{"id":"2405.20630","title":"Stochastic Optimal Control for Diffusion Bridges in Function Spaces","created":"2024-05-31","cited_by_count":16,"area":"diffusion"},{"id":"2402.01434","title":"Conditioning non-linear and infinite-dimensional diffusion processes","created":"2024-02-02","cited_by_count":15,"area":"diffusion"},{"id":"2501.04126","title":"Stochastic Process Learning via Operator Flow Matching","created":"2025-01-07","cited_by_count":14,"area":"diffusion"},{"id":"2311.15435","title":"Functional Diffusion","created":"2023-11-26","cited_by_count":13,"area":"diffusion"},{"id":"2307.05431","title":"Geometric Neural Diffusion Processes","created":"2023-07-11","cited_by_count":10,"area":"diffusion"},{"id":"2412.11251","title":"Wasserstein Bounds for generative diffusion models with Gaussian tail targets","created":"2024-12-15","cited_by_count":10,"area":"diffusion"},{"id":"2405.15676","title":"Taming Score-Based Diffusion Priors for Infinite-Dimensional Nonlinear Inverse Problems","created":"2024-05-24","cited_by_count":7,"area":"diffusion"},{"id":"2509.10384","title":"Flow Straight and Fast in Hilbert Space: Functional Rectified Flow","created":"2025-09-12","cited_by_count":6,"area":"diffusion"},{"id":"2306.11075","title":"Diffusion model based data generation for partial differential equations","created":"2023-06-19","cited_by_count":5,"area":"diffusion"},{"id":"2503.10219","title":"Probability-Flow ODE in Infinite-Dimensional Function Spaces","created":"2025-03-13","cited_by_count":5,"area":"diffusion"},{"id":"2505.18276","title":"Preconditioned Langevin Dynamics with Score-Based Generative Models for Infinite-Dimensional Linear Bayesian Inverse Problems","created":"2025-05-23","cited_by_count":5,"area":"diffusion"},{"id":"2511.12898","title":"Functional Mean Flow in Hilbert Space","created":"2025-11-17","cited_by_count":5,"area":"diffusion"},{"id":"2602.09708","title":"Physics-informed diffusion models in spectral space","created":"2026-02-10","cited_by_count":5,"area":"diffusion"},{"id":"2406.10354","title":"SigDiffusions: Score-Based Diffusion Models for Time Series via Log-Signature Embeddings","created":"2024-06-14","cited_by_count":4,"area":"diffusion"},{"id":"2410.13794","title":"Arbitrarily-Conditioned Multi-Functional Diffusion for Multi-Physics Emulation","created":"2024-10-17","cited_by_count":4,"area":"diffusion"},{"id":"2601.20756","title":"Supervised Guidance Training for Infinite-Dimensional Diffusion Models","created":"2026-01-28","cited_by_count":3,"area":"diffusion"},{"id":"2505.13189","title":"A Malliavin-Gamma calculus approach to Score Based Diffusion Generative models for random fields","created":"2025-05-19","cited_by_count":2,"area":"diffusion"},{"id":"2512.12749","title":"Residual-augmented flow matching operators for probabilistic partial differential equations","created":"2025-12-14","cited_by_count":2,"area":"diffusion"},{"id":"2601.19368","title":"Divergence-Free Diffusion Models for Incompressible Fluid Flows","created":"2026-01-27","cited_by_count":2,"area":"diffusion"},{"id":"2602.12274","title":"Function-Space Decoupled Diffusion for Forward and Inverse Modeling in Carbon Capture and Storage","created":"2026-02-12","cited_by_count":2,"area":"diffusion"},{"id":"2401.06144","title":"DFU: scale-robust diffusion model for zero-shot super-resolution image generation","created":"2023-11-30","cited_by_count":1,"area":"diffusion"},{"id":"2405.15643","title":"An Unconditional Representation of the Conditional Score in Infinite-Dimensional Linear Inverse Problems","created":"2024-05-24","cited_by_count":1,"area":"diffusion"},{"id":"2604.05700","title":"Optimal-Transport-Guided Functional Flow Matching for Turbulent Field Generation in Hilbert Space","created":"2026-04-07","cited_by_count":1,"area":"diffusion"},{"id":"2605.03497","title":"GRIFDIR: Graph Resolution-Invariant FEM Diffusion Models in Function Spaces over Irregular Domains","created":"2026-05-05","cited_by_count":1,"area":"diffusion"},{"id":"2306.07077","title":"Latent Dynamical Implicit Diffusion Processes","created":"2023-06-12","cited_by_count":0,"area":"diffusion"},{"id":"2409.00374","title":"Towards understanding Diffusion Models (on Graphs)","created":"2024-08-31","cited_by_count":0,"area":"diffusion"},{"id":"2505.08246","title":"Identifying Memorization of Diffusion Models through $p$-Laplace Analysis: Estimators, Bounds and Applications","created":"2025-05-13","cited_by_count":0,"area":"diffusion"},{"id":"2508.13831","title":"Smooth Flow Matching for Synthesizing Functional Data","created":"2025-08-19","cited_by_count":0,"area":"diffusion"},{"id":"2509.24117","title":"GeoFunFlow: Geometric Function Flow Matching for Inverse Operator Learning over Complex Geometries","created":"2025-09-28","cited_by_count":0,"area":"diffusion"},{"id":"2602.04139","title":"Generative Neural Operators through Diffusion Last Layer","created":"2026-02-04","cited_by_count":0,"area":"diffusion"},{"id":"2602.06621","title":"Infinite-dimensional generative diffusions via Doob's h-transform","created":"2026-02-06","cited_by_count":0,"area":"diffusion"},{"id":"2602.09207","title":"CausalGDP: Causality-Guided Diffusion Policies for Reinforcement Learning","created":"2026-02-09","cited_by_count":0,"area":"diffusion"},{"id":"2605.06861","title":"Christoffel-DPS: Optimal sensor placement in diffusion posterior sampling for arbitrary distributions","created":"2026-05-07","cited_by_count":0,"area":"diffusion"},{"id":"2605.16473","title":"Dimension-Uniform Discretization Analysis of Preconditioned Annealed Langevin Dynamics for Multimodal Gaussian Mixtures","created":"2026-05-15","cited_by_count":0,"area":"diffusion"},{"id":"2606.00349","title":"(HB-ARFM) History-Bootstrapped Flow Matching for Inverse Boiling Reconstruction","created":"2026-05-29","cited_by_count":0,"area":"diffusion"},{"id":"2609.38049","title":"Improving Function Space Flow Matching with Kernel Optimal Transport","created":"2026-09-29","cited_by_count":0,"area":"diffusion"}],"next_cursor":null}