Masked Autoregressive Flow for Density Estimation
Not on the map. Why?
Cited by 40 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
Autoregressive models are among the best performing neural density estimators. We describe an approach for increasing the flexibility of an autoregressive model, based on modelling the random numbers that the model uses internally when generating data. By constructing a stack of autoregressive models, each modelling the random numbers of the next model in the stack, we obtain a type of normalizing flow suitable for density estimation, which we call Masked Autoregressive Flow. This type of flow is closely related to Inverse Autoregressive Flow and is a generalization of Real NVP. Masked Autoregressive Flow achieves state-of-the-art performance in a range of general-purpose density estimation tasks.
Key facts. Cited by 680 papers in the map (data through 7 Oct 2026). First posted on arXiv 19 May 2017.
Builds on
No reference list yet.
Built on by
Citing papers per year: 2019: 1; 2020: 1; 2021: 132; 2022: 125; 2023: 129; 2024: 106; 2025: 103; 2026: 83.
680 papers.
Sort:
By area:
- 2022Building Normalizing Flows with Stochastic Interpolantscited by 964
- 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
- 2021Argmax Flows and Multinomial Diffusion: Learning Categorical Distributionscited by 566
- 2021GAN Inversion: A Surveycited by 366
- 2021Autoregressive Denoising Diffusion Models for Multivariate Probabilistic Time Series Forecastingcited by 332
- 2023VideoFusion: Decomposed Diffusion Models for High-Quality Video Generationcited by 330
- 2021Self-Supervised Learning with Data Augmentations Provably Isolates Content from Stylecited by 308
- 2021CLIP-Forge: Towards Zero-Shot Text-to-Shape Generationcited by 254
- 2021Deep Generative Modelling: A Comparative Review of VAEs, GANs, Normalizing Flows, Energy-Based and Autoregressive Modelscited by 251
- 2022Diffusion Probabilistic Modeling for Video Generationcited by 237
- 2023A Comprehensive Survey of AI-Generated Content (AIGC): A History of Generative AI from GAN to ChatGPTcited by 221
- 2024Diffusion Model-Based Image Editing: A Surveycited by 212
38 more
- 2021A Simple Fix to Mahalanobis Distance for Improving Near-OOD Detectioncited by 206
- 2021A Survey on Neural Speech Synthesiscited by 182
- 2021GraphDF: A Discrete Flow Model for Molecular Graph Generationcited by 177
- 2021Benchmarking Simulation-Based Inferencecited by 160
- 2021Probabilistic Modeling for Human Mesh Recoverycited by 152
- 2022Concrete Score Matching: Generalized Score Matching for Discrete Datacited by 144
- 2021Solving Schr"odinger Bridges via Maximum Likelihoodcited by 140
- 2021Human Pose Regression with Residual Log-likelihood Estimationcited by 131
- 2023Score-Based Diffusion Models as Principled Priors for Inverse Imagingcited by 126
- 2023Diffusion Models for Image Restoration and Enhancement: A Comprehensive Surveycited by 108
- 2021An Introduction to Deep Generative Modelingcited by 104
- 2022Generating 3D Molecules for Target Protein Bindingcited by 104
- 2021Deep Generative Learning via Schr"odinger Bridgecited by 103
- 2021DEUP: Direct Epistemic Uncertainty Predictioncited by 102
- 2021Neural Flows: Efficient Alternative to Neural ODEscited by 99
- 2024Normalizing Flows are Capable Generative Modelscited by 89
- 2021Probabilistic Monocular 3D Human Pose Estimation with Normalizing Flowscited by 84
- 2023Robust Classification via a Single Diffusion Modelcited by 79
- 2021Diffusion Normalizing Flowcited by 77
- 2021Real-time gravitational-wave science with neural posterior estimationcited by 76
- 2021Flow-based Kernel Prior with Application to Blind Super-Resolutioncited by 74
- 2021Hierarchical Conditional Flow: A Unified Framework for Image Super-Resolution and Image Rescalingcited by 73
- 2022A Survey on Deep Graph Generation: Methods and Applicationscited by 69
- 2021Generating Smooth Pose Sequences for Diverse Human Motion Predictioncited by 66
- 2021On Memorization in Probabilistic Deep Generative Modelscited by 60
- 2024Optimal score estimation via empirical Bayes smoothingcited by 60
- 2022CaDeX: Learning Canonical Deformation Coordinate Space for Dynamic Surface Representation via Neural Homeomorphismcited by 56
- 2023normflows: A PyTorch Package for Normalizing Flowscited by 56
- 2022Sequential Neural Score Estimation: Likelihood-Free Inference with Conditional Score Based Diffusion Modelscited by 50
- 2023CRoSS: Diffusion Model Makes Controllable, Robust and Secure Image Steganographycited by 50
- 2021Rectangular Flows for Manifold Learningcited by 49
- 2023Causal normalizing flows: from theory to practicecited by 49
- 2021Detecting Model Misspecification in Amortized Bayesian Inference with Neural Networkscited by 48
- 2023Learning Robust Statistics for Simulation-based Inference under Model Misspecificationcited by 48
- 2021CaloFlow: Fast and Accurate Generation of Calorimeter Showers with Normalizing Flowscited by 46
- 2025On the Guidance of Flow Matchingcited by 44
- 2022Variational methods for simulation-based inferencecited by 43
- 2021ScoreGrad: Multivariate Probabilistic Time Series Forecasting with Continuous Energy-based Generative Modelscited by 42
50 most cited of 680 All 680 (JSON)
- 2026BayesNDE: Bayesian Generative Modeling for Neural Density Estimation30 Sep 2026
- 2026Learning Causal Normalizing Flows from Incomplete Data via Observed-Data Likelihood29 Sep 2026
- 2026Learning the Structure of Triangular Transport Maps29 Sep 2026
- 2026Simulation-Based Quantum System Inference with Neural Posterior Estimation28 Sep 2026
- 2026A Three-Way Testing Framework for Quantifying Epistemic Calibration Uncertainty in SBI21 Sep 2026
- 2026Neural composite likelihood estimation: simulation based inference for time series18 Sep 2026
- 2026Repulsive normalizing flow mixtures for adaptive importance sampling: reliability analysis of complex systems18 Sep 2026
- 2026MHE-Former: Multi-Hypothesis Transformers via Entropy Maximization for 3D Mesh Recovery9 Sep 2026
- 2026Mode Coverage in Normalizing Flow Boltzmann Generators via Log-Ratio Variation8 Sep 2026
- 2026Impact of Multiple Non-Invasive Biosignals on Cardiovascular Biomarker Estimation via Simulation-Based Inference26 Aug 2026
- 2026RoMAN-Flow: Taming Autoregressive Normalizing Flows for Offline Reinforcement Learning in Robotic Manipulation20 Aug 2026
- 2026Don't Cut Corners: How Training Outside the Prior Makes Simulation-Based Inference More Robust12 Aug 2026
38 more
- 2026You Only Flow Once: Calibrated and Real-Time Radar Pose Estimation with Multi-Hypothesis Normalizing Flows10 Aug 2026
- 2026In-Context Density Estimation for Tabular Data10 Aug 2026
- 2026Potential Matching Optimal Transport: Continuous Normalizing Flows for Exact p-Wasserstein Dynamics6 Aug 2026
- 2026CEL: Comprehensive Counterfactual Explanations Library and Benchmark24 Jul 2026
- 2026An Introduction to Bayesian and Frequentist Simulation-Based Inference with Machine Learning23 Jul 2026
- 2026Program Synthesis for Simulation-Based Inference: Joint Model Selection and Parameter Estimation20 Jul 2026
- 2026Bayesian Experimental Design via Score Matching9 Jul 2026
- 2026A Convex Approximation Framework for Neural Likelihood-Based Bayesian Inverse Problems7 Jul 2026
- 2026Stable Global Weighting of Flow Mixtures using Simplex Exponential Moving Average4 Jul 2026
- 2026Warp RL: Reshaping Base Policy Distributions for Dynamics Adaptation30 Jun 2026
- 2026Factorizable Normalizing Flows for parameter-dependent density morphing29 Jun 2026
- 2026Simplifying Flow Matching Transformations with Low-Rank Mixture Models29 Jun 2026
- 2026Simulation-based inference for rapid Bayesian parameter estimation in epidemiological models: a comparison with MCMC25 Jun 2026
- 2026Knowledge Cascade: Reverse Knowledge Distillation on Nonparametric Multivariate Functional Estimation24 Jun 2026
- 2026The Degeneracy Distillery22 Jun 2026
- 2026Structured Nonparametric Variational Inference for Dependent Latent Modeling13 Jun 2026
- 2026Latent Reasoning with Normalizing Flows4 Jun 2026
- 2026Hierarchical RBF-KAN and RBF-SKAN Architectures for Multidimensional Function Approximation and Random Field Learning1 Jun 2026
- 2026FlowSDR: Sufficient Dimension Reduction via Conditional Normalizing Flows31 May 2026
- 2026Uncertainty-aware Multi-fidelity Closure via Conditional Normalizing Flows27 May 2026
- 2026Conservative neural posterior estimation via distributionally robust training27 May 2026
- 2026Amortized Factor Inference Networks for Posterior Inference26 May 2026
- 2026A lift for input-convex neural net training22 May 2026
- 2026Decomposing Ensemble Spread in Lorenz '96 With Learned Stochastic Parameterizations21 May 2026
- 2026Symbolic Density Estimation for Discrete Distributions20 May 2026
- 2026Truncated Neural Likelihood Estimation for Simulation-Based Inference in State-Space Models20 May 2026
- 2026SRC-Flow: Compact Semantic Representations Enable Normalizing Flows for Image Generation18 May 2026
- 2026GenTS: A Comprehensive Benchmark Library for Generative Time Series Models18 May 2026
- 2026Venom: A PyTorch Generative Modeling Toolkit17 May 2026
- 2026Scale-Equivariant Generative Forecasting: Weight-Tied Dilated Convolutions, Wavelet Scattering Inputs, and Spectral-Consistency Training for Self-Similar Time Series17 May 2026
- 2026Adaptive Kernel Density Estimation with Pre-training13 May 2026
- 2026Constant-Target Energy Matching: A Unified Framework for Continuous and Discrete Density Estimation9 May 2026
- 2026Normalizing Trajectory Models8 May 2026
- 2026STARFlow2: Bridging Language Models and Normalizing Flows for Unified Multimodal Generation8 May 2026
- 2026Information-Preserving Domain Transfer with Unlabeled Data in Misspecified Simulation-Based Inference7 May 2026
- 2026Amortized Vine Copulas for High-Dimensional Density and Information Estimation22 Apr 2026
- 2026Normalizing Flows with Iterative Denoising21 Apr 2026
- 2026A Probabilistic Consensus-Driven Approach for Robust Counterfactual Explanations19 Apr 2026
50 newest of 680 All 680 (JSON)
- 2021Argmax Flows and Multinomial Diffusion: Learning Categorical Distributionscited by 566
- 2021Autoregressive Denoising Diffusion Models for Multivariate Probabilistic Time Series Forecastingcited by 332
- 2023VideoFusion: Decomposed Diffusion Models for High-Quality Video Generationcited by 330
- 2022Diffusion Probabilistic Modeling for Video Generationcited by 237
- 2024Diffusion Model-Based Image Editing: A Surveycited by 212
- 2023Score-Based Diffusion Models as Principled Priors for Inverse Imagingcited by 126
- 2023Diffusion Models for Image Restoration and Enhancement: A Comprehensive Surveycited by 108
- 2023Robust Classification via a Single Diffusion Modelcited by 79
- 2021Diffusion Normalizing Flowcited by 77
- 2022Sequential Neural Score Estimation: Likelihood-Free Inference with Conditional Score Based Diffusion Modelscited by 50
- 2023CRoSS: Diffusion Model Makes Controllable, Robust and Secure Image Steganographycited by 50
- 2025On the Guidance of Flow Matchingcited by 44
12 most cited of 39 All 39 (JSON)
- 2026You Only Flow Once: Calibrated and Real-Time Radar Pose Estimation with Multi-Hypothesis Normalizing Flows10 Aug 2026
- 2026Simplifying Flow Matching Transformations with Low-Rank Mixture Models29 Jun 2026
- 2026SRC-Flow: Compact Semantic Representations Enable Normalizing Flows for Image Generation18 May 2026
- 2026Venom: A PyTorch Generative Modeling Toolkit17 May 2026
- 2026Normalizing Flows with Iterative Denoising21 Apr 2026
- 2026The Coupling Within: Flow Matching via Distilled Normalizing Flows9 Mar 2026
- 2025Diffusion Models at the Drug Discovery Frontier: A Review on Generating Small Molecules versus Therapeutic Peptides31 Oct 2025
- 2025Scale-Wise VAR is Secretly Discrete Diffusion26 Sep 2025
- 2025Flow Matching Meets Biology and Life Science: A Survey23 Jul 2025
- 2025Distilling Two-Timed Flow Models by Separately Matching Initial and Terminal Velocities2 May 2025
- 2025Image Editing with Diffusion Models: A Survey17 Apr 2025
- 2025On the Guidance of Flow Matching4 Feb 2025
12 newest of 39 All 39 (JSON)
- 2020Intrinsic Reward Driven Imitation Learning via Generative Modelcited by 35
- 2019Generative predecessor models for sample-efficient imitation learningcited by 14
- 2023A Coupled Flow Approach to Imitation Learningcited by 12
- 2025Offline Multi-agent Reinforcement Learning via Sequential Score Decompositioncited by 4
- 2024Markov Balance Satisfaction Improves Performance in Strictly Batch Offline Imitation Learningcited by 3
- 2024Out-of-Distribution Adaptation in Offline RL: Counterfactual Reasoning via Causal Normalizing Flowscited by 2
- 2021Data Augmentation through Expert-guided Symmetry Detection to Improve Performance in Offline Reinforcement Learningcited by 1
- 2024Deep autoregressive density nets vs neural ensembles for model-based offline reinforcement learningcited by 1
- 2025State Diversity Matters in Offline Behavior Distillationcited by 1
- 2026RoMAN-Flow: Taming Autoregressive Normalizing Flows for Offline Reinforcement Learning in Robotic Manipulationcited by 0
- 2026RoMAN-Flow: Taming Autoregressive Normalizing Flows for Offline Reinforcement Learning in Robotic Manipulation20 Aug 2026
- 2025State Diversity Matters in Offline Behavior Distillation7 Dec 2025
- 2025Offline Multi-agent Reinforcement Learning via Sequential Score Decomposition9 May 2025
- 2024Markov Balance Satisfaction Improves Performance in Strictly Batch Offline Imitation Learning17 Aug 2024
- 2024Out-of-Distribution Adaptation in Offline RL: Counterfactual Reasoning via Causal Normalizing Flows6 May 2024
- 2024Deep autoregressive density nets vs neural ensembles for model-based offline reinforcement learning5 Feb 2024
- 2023A Coupled Flow Approach to Imitation Learning29 Apr 2023
- 2021Data Augmentation through Expert-guided Symmetry Detection to Improve Performance in Offline Reinforcement Learning18 Dec 2021
- 2020Intrinsic Reward Driven Imitation Learning via Generative Model26 Jun 2020
- 2019Generative predecessor models for sample-efficient imitation learning1 Apr 2019
- 2023Causal normalizing flows: from theory to practicecited by 49
- 2026Latent Reasoning with Normalizing Flowscited by 4
- 2026Latent Reasoning with Normalizing Flows4 Jun 2026
- 2023Causal normalizing flows: from theory to practice8 Jun 2023
- 2022Building Normalizing Flows with Stochastic Interpolantscited by 964
- 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
- 2021GAN Inversion: A Surveycited by 366
- 2021Self-Supervised Learning with Data Augmentations Provably Isolates Content from Stylecited by 308
- 2021CLIP-Forge: Towards Zero-Shot Text-to-Shape Generationcited by 254
- 2021Deep Generative Modelling: A Comparative Review of VAEs, GANs, Normalizing Flows, Energy-Based and Autoregressive Modelscited by 251
- 2023A Comprehensive Survey of AI-Generated Content (AIGC): A History of Generative AI from GAN to ChatGPTcited by 221
- 2021A Simple Fix to Mahalanobis Distance for Improving Near-OOD Detectioncited by 206
- 2021A Survey on Neural Speech Synthesiscited by 182
- 2021GraphDF: A Discrete Flow Model for Molecular Graph Generationcited by 177
- 2021Benchmarking Simulation-Based Inferencecited by 160
- 2021Probabilistic Modeling for Human Mesh Recoverycited by 152
12 most cited of 622 All 622 (JSON)
- 2026BayesNDE: Bayesian Generative Modeling for Neural Density Estimation30 Sep 2026
- 2026Learning Causal Normalizing Flows from Incomplete Data via Observed-Data Likelihood29 Sep 2026
- 2026Learning the Structure of Triangular Transport Maps29 Sep 2026
- 2026Simulation-Based Quantum System Inference with Neural Posterior Estimation28 Sep 2026
- 2026A Three-Way Testing Framework for Quantifying Epistemic Calibration Uncertainty in SBI21 Sep 2026
- 2026Neural composite likelihood estimation: simulation based inference for time series18 Sep 2026
- 2026Repulsive normalizing flow mixtures for adaptive importance sampling: reliability analysis of complex systems18 Sep 2026
- 2026MHE-Former: Multi-Hypothesis Transformers via Entropy Maximization for 3D Mesh Recovery9 Sep 2026
- 2026Mode Coverage in Normalizing Flow Boltzmann Generators via Log-Ratio Variation8 Sep 2026
- 2026Impact of Multiple Non-Invasive Biosignals on Cardiovascular Biomarker Estimation via Simulation-Based Inference26 Aug 2026
- 2026Don't Cut Corners: How Training Outside the Prior Makes Simulation-Based Inference More Robust12 Aug 2026
- 2026In-Context Density Estimation for Tabular Data10 Aug 2026
12 newest of 622 All 622 (JSON)