Implicit Generation and Generalization in Energy-Based Models
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Abstract (arXiv)
Energy based models (EBMs) are appealing due to their generality and simplicity in likelihood modeling, but have been traditionally difficult to train. We present techniques to scale MCMC based EBM training on continuous neural networks, and we show its success on the high-dimensional data domains of ImageNet32x32, ImageNet128x128, CIFAR-10, and robotic hand trajectories, achieving better samples than other likelihood models and nearing the performance of contemporary GAN approaches, while covering all modes of the data. We highlight some unique capabilities of implicit generation such as compositionality and corrupt image reconstruction and inpainting. Finally, we show that EBMs are useful models across a wide variety of tasks, achieving state-of-the-art out-of-distribution classification, adversarially robust classification, state-of-the-art continual online class learning, and coherent long term predicted trajectory rollouts.
Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). First posted on arXiv 20 Mar 2019.
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Citing papers per year: 2020: 2; 2021: 7; 2022: 6; 2023: 3; 2024: 1; 2025: 2.
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- 2021Deep Generative Modelling: A Comparative Review of VAEs, GANs, Normalizing Flows, Energy-Based and Autoregressive Modelscited by 251
- 2022Restoring Vision in Adverse Weather Conditions with Patch-Based Denoising Diffusion Modelscited by 215
- 2021Symbolic Music Generation with Diffusion Modelscited by 152
- 2022DiffuseVAE: Efficient, Controllable and High-Fidelity Generation from Low-Dimensional Latentscited by 103
- 2021Controllable and Compositional Generation with Latent-Space Energy-Based Modelscited by 64
- 2021Trajectory Prediction with Latent Belief Energy-Based Modelcited by 60
- 2020Strictly Batch Imitation Learning by Energy-based Distribution Matchingcited by 54
- 2022Object Representations as Fixed Points: Training Iterative Refinement Algorithms with Implicit Differentiationcited by 46
- 2020Energy-Based Imitation Learningcited by 39
- 2022Learning Iterative Reasoning through Energy Minimizationcited by 32
- 2021Towards Understanding the Generative Capability of Adversarially Robust Classifierscited by 26
- 2021Entropic Issues in Likelihood-Based OOD Detectioncited by 16
9 more
- 2025Ideas in Inference-time Scaling can Benefit Generative Pre-training Algorithmscited by 12
- 2023Molecule Design by Latent Space Energy-Based Modeling and Gradual Distribution Shiftingcited by 8
- 2022Pitfalls of Gaussians as a noise distribution in NCEcited by 6
- 2024Preference Optimization for Molecule Synthesis with Conditional Residual Energy-based Modelscited by 6
- 2025Progressive Test Time Energy Adaptation for Medical Image Segmentationcited by 5
- 2022No Shifted Augmentations (NSA): compact distributions for robust self-supervised Anomaly Detectioncited by 3
- 2023Versatile Energy-Based Probabilistic Models for High Energy Physicscited by 2
- 2021Energy-Based Anomaly Detection and Localizationcited by 1
- 2023Non-Generative Energy Based Modelscited by 0
- 2025Progressive Test Time Energy Adaptation for Medical Image Segmentation20 Mar 2025
- 2025Ideas in Inference-time Scaling can Benefit Generative Pre-training Algorithms10 Mar 2025
- 2024Preference Optimization for Molecule Synthesis with Conditional Residual Energy-based Models4 Jun 2024
- 2023Molecule Design by Latent Space Energy-Based Modeling and Gradual Distribution Shifting9 Jun 2023
- 2023Non-Generative Energy Based Models3 Apr 2023
- 2023Versatile Energy-Based Probabilistic Models for High Energy Physics1 Feb 2023
- 2022Pitfalls of Gaussians as a noise distribution in NCE1 Oct 2022
- 2022Restoring Vision in Adverse Weather Conditions with Patch-Based Denoising Diffusion Models29 Jul 2022
- 2022Object Representations as Fixed Points: Training Iterative Refinement Algorithms with Implicit Differentiation2 Jul 2022
- 2022Learning Iterative Reasoning through Energy Minimization30 Jun 2022
- 2022No Shifted Augmentations (NSA): compact distributions for robust self-supervised Anomaly Detection19 Mar 2022
- 2022DiffuseVAE: Efficient, Controllable and High-Fidelity Generation from Low-Dimensional Latents2 Jan 2022
9 more
- 2021Controllable and Compositional Generation with Latent-Space Energy-Based Models21 Oct 2021
- 2021Entropic Issues in Likelihood-Based OOD Detection22 Sep 2021
- 2021Towards Understanding the Generative Capability of Adversarially Robust Classifiers20 Aug 2021
- 2021Energy-Based Anomaly Detection and Localization7 May 2021
- 2021Trajectory Prediction with Latent Belief Energy-Based Model7 Apr 2021
- 2021Symbolic Music Generation with Diffusion Models30 Mar 2021
- 2021Deep Generative Modelling: A Comparative Review of VAEs, GANs, Normalizing Flows, Energy-Based and Autoregressive Models8 Mar 2021
- 2020Strictly Batch Imitation Learning by Energy-based Distribution Matching25 Jun 2020
- 2020Energy-Based Imitation Learning20 Apr 2020
- 2020Strictly Batch Imitation Learning by Energy-based Distribution Matchingcited by 54
- 2020Energy-Based Imitation Learningcited by 39
- 2020Strictly Batch Imitation Learning by Energy-based Distribution Matching25 Jun 2020
- 2020Energy-Based Imitation Learning20 Apr 2020
- 2021Deep Generative Modelling: A Comparative Review of VAEs, GANs, Normalizing Flows, Energy-Based and Autoregressive Modelscited by 251
- 2021Controllable and Compositional Generation with Latent-Space Energy-Based Modelscited by 64
- 2021Trajectory Prediction with Latent Belief Energy-Based Modelcited by 60
- 2022Object Representations as Fixed Points: Training Iterative Refinement Algorithms with Implicit Differentiationcited by 46
- 2022Learning Iterative Reasoning through Energy Minimizationcited by 32
- 2021Towards Understanding the Generative Capability of Adversarially Robust Classifierscited by 26
- 2021Entropic Issues in Likelihood-Based OOD Detectioncited by 16
- 2023Molecule Design by Latent Space Energy-Based Modeling and Gradual Distribution Shiftingcited by 8
- 2022Pitfalls of Gaussians as a noise distribution in NCEcited by 6
- 2024Preference Optimization for Molecule Synthesis with Conditional Residual Energy-based Modelscited by 6
- 2025Progressive Test Time Energy Adaptation for Medical Image Segmentationcited by 5
- 2022No Shifted Augmentations (NSA): compact distributions for robust self-supervised Anomaly Detectioncited by 3
12 most cited of 15 All 15 (JSON)
- 2025Progressive Test Time Energy Adaptation for Medical Image Segmentation20 Mar 2025
- 2024Preference Optimization for Molecule Synthesis with Conditional Residual Energy-based Models4 Jun 2024
- 2023Molecule Design by Latent Space Energy-Based Modeling and Gradual Distribution Shifting9 Jun 2023
- 2023Non-Generative Energy Based Models3 Apr 2023
- 2023Versatile Energy-Based Probabilistic Models for High Energy Physics1 Feb 2023
- 2022Pitfalls of Gaussians as a noise distribution in NCE1 Oct 2022
- 2022Object Representations as Fixed Points: Training Iterative Refinement Algorithms with Implicit Differentiation2 Jul 2022
- 2022Learning Iterative Reasoning through Energy Minimization30 Jun 2022
- 2022No Shifted Augmentations (NSA): compact distributions for robust self-supervised Anomaly Detection19 Mar 2022
- 2021Controllable and Compositional Generation with Latent-Space Energy-Based Models21 Oct 2021
- 2021Entropic Issues in Likelihood-Based OOD Detection22 Sep 2021
- 2021Towards Understanding the Generative Capability of Adversarially Robust Classifiers20 Aug 2021
12 newest of 15 All 15 (JSON)