We show how to use low-quality, synthetic, and out-of-distribution images to improve the quality of a diffusion model. Typically, diffusion models are trained on curated datasets that emerge from highly filtered data pools from the Web and other sources. We show that there is immense value in the lower-quality images that are often discarded. We present Ambient Diffusion Omni, a simple, principled framework to train diffusion models that can extract signal from all available images during training. Our framework exploits two properties of natural images — spectral power law decay and locality. We first validate our framework by successfully training diffusion models with images synthetically corrupted by Gaussian blur, JPEG compression, and motion blur. We then use our framework to achieve state-of-the-art ImageNet FID, and we show significant improvements in both image quality and diversity for text-to-image generative modeling. The core insight is that noise dampens the initial skew between the desired high-quality distribution and the mixed distribution we actually observe. We provide rigorous theoretical justification for our approach by analyzing the trade-off between learning from biased data versus limited unbiased data across diffusion times.
@inproceedings{ambient_omni,title={Ambient Diffusion Omni: Training Good Models with Bad Data},author={Daras, Giannis and Rodriguez-Munoz, Adrian and Klivans, Adam and Torralba, Antonio and Daskalakis, Constantinos},booktitle={NeurIPS 2025},year={2025},page={/publication/ambient_omni/},}
NeurIPS
Ambient Proteins: Training Diffusion Models on Low Quality Structures
Giannis Daras*, Jeffrey Ouyang-Zhang*, Krithika Ravishankar, William Daspit, Costis Daskalakis, Qiang Liu, Adam Klivans, and 1 more author
We present Ambient Protein Diffusion, a framework for training protein diffusion models that generates structures with unprecedented diversity and quality. State-of-the-art generative models are trained on computationally derived structures from AlphaFold2 (AF), as experimentally determined structures are relatively scarce. The resulting models are therefore limited by the quality of synthetic datasets. Since the accuracy of AF predictions degrades with increasing protein length and complexity, de novo generation of long, complex proteins remains challenging. Ambient Protein Diffusion overcomes this problem by treating low-confidence AF structures as corrupted data. Rather than simply filtering out low-quality AF structures, our method adjusts the diffusion objective for each structure based on its corruption level, allowing the model to learn from both high and low quality structures. Empirically, Ambient Protein Diffusion yields major improvements: on proteins with 700 residues, diversity increases from 45% to 86% from the previous state-of-the-art, and designability improves from 68% to 86%. We will make all of our code, models and datasets available under the following repository: https://github.com/jozhang97/ambient-proteins.
@inproceedings{ambient_proteins,title={Ambient Proteins: Training Diffusion Models on Low Quality Structures},author={Daras, Giannis and Ouyang-Zhang, Jeffrey and Ravishankar, Krithika and Daspit, William and Daskalakis, Costis and Liu, Qiang and Klivans, Adam and Diaz, Daniel J.},booktitle={NeurIPS 2025},year={2025},page={/publication/ambient_proteins/},}
ECCV Art Gallery
An Image Worth a Thousand Paintings
George Cazenavette, Angelina Quan, Giannis Daras, Antonio Torralba, and Vincent Sitzmann
Award Winner and Spotlight — Art Gallery, ECCV 2026
Dataset distillation synthesizes a small set of images that best approximate a real data distribution. We introduce a "drifting" method, building on the generative framework of Deng et al., that distills an artist’s entire body of work into a single image.
@inproceedings{thousand_paintings,title={An Image Worth a Thousand Paintings},author={Cazenavette, George and Quan, Angelina and Daras, Giannis and Torralba, Antonio and Sitzmann, Vincent},booktitle={ECCV 2026 Art Gallery},year={2026},}
CoRL RSS Workshop
Ambient Diffusion Policy: Imitation Learning from Suboptimal Data in Robotics
Adam Wei, Nicholas Pfaff, Thomas Cohn, Arif Kerem Dayı, Constantinos Daskalakis, Giannis Daras, and Russ Tedrake
Best Paper Award — Data-Centric Robotics Workshop, RSS 2026 Most Useful Practical Information Award — “It’s the Demos” Workshop, RSS 2026
We propose Ambient Diffusion Policy, a simple and principled method for imitation learning from suboptimal data in robotics. High-quality, task-specific robot data is expensive and time-consuming to collect, while suboptimal datasets with lower-quality or out-of-distribution demonstrations are abundant. Existing methods that co-train on both data sources in robotics often fail to separate the meaningful and the harmful features in the suboptimal samples. In contrast, our method extracts only the useful features by introducing a new axis to co-training in robotics: noise-dependent data usage. Ambient Diffusion Policy restricts the contribution of suboptimal data during training to only the high and low diffusion times. To rigorously justify our approach, we first observe that robot action data exhibits a spectral power law. This induces two important properties on the optimal Diffusion Policy that we exploit: a global-to-local hierarchy and locality. We theoretically formalize this discussion using a simplified model. Our experiments validate Ambient Diffusion Policy on four types of suboptimal action data (noisy trajectories, sim-to-real gap, task mismatch, and large-scale data mixtures) across six tasks. The results show that it effectively learns from arbitrary sources of suboptimal data. Notably, it outperforms existing co-training baselines by up to 33% when scaled to Open X-Embodiment - a large dataset with heterogeneous data quality and unstructured distribution shifts. Overall, Ambient Diffusion Policy increases the utility of suboptimal demonstrations and expands the set of usable data sources in robotics.
@inproceedings{ambient_diffusion_policy,title={Ambient Diffusion Policy: Imitation Learning from Suboptimal Data in Robotics},author={Wei, Adam and Pfaff, Nicholas and Cohn, Thomas and Dayı, Arif Kerem and Daskalakis, Constantinos and Daras, Giannis and Tedrake, Russ},booktitle={CoRL 2026 and RSS 2026 Workshops},year={2026},}
ICML
Consistent Diffusion Meets Tweedie: Training Exact Ambient Diffusion Models with Noisy Data
Giannis Daras, Alexandros G. Dimakis, and Constantinos Daskalakis
Ambient diffusion is a recently proposed framework for training diffusion models using corrupted data. Both Ambient Diffusion and alternative SURE-based approaches for learning diffusion models from corrupted data resort to approximations which deteriorate performance. We present the first framework for training diffusion models that provably sample from the uncorrupted distribution given only noisy training data, solving an open problem in this space. Our key technical contribution is a method that uses a double application of Tweedie’s formula and a consistency loss function that allows us to extend sampling at noise levels below the observed data noise. We also provide further evidence that diffusion models memorize from their training sets by identifying extremely corrupted images that are almost perfectly reconstructed, raising copyright and privacy concerns. Our method for training using corrupted samples can be used to mitigate this problem. We demonstrate this by fine-tuning Stable Diffusion XL to generate samples from a distribution using only noisy samples. Our framework reduces the amount of memorization of the fine-tuning dataset, while maintaining competitive performance.
@inproceedings{ambient_tweedie,title={Consistent Diffusion Meets Tweedie: Training Exact Ambient Diffusion Models with Noisy Data},author={Daras, Giannis and Dimakis, Alexandros G. and Daskalakis, Constantinos},booktitle={ICML 2024},year={2024},}