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Compositional generalization is the capability of a model to understand novel compositions composed of seen concepts. There are multiple levels of novel compositions including phrase-phrase level, phrase-word level, and word-word level.…

Computer Vision and Pattern Recognition · Computer Science 2024-12-19 Chuanhao Li , Zhen Li , Chenchen Jing , Xiaomeng Fan , Wenbo Ye , Yuwei Wu , Yunde Jia

While generative models produce high-quality images of concepts learned from a large-scale database, a user often wishes to synthesize instantiations of their own concepts (for example, their family, pets, or items). Can we teach a model to…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Nupur Kumari , Bingliang Zhang , Richard Zhang , Eli Shechtman , Jun-Yan Zhu

Diffusion generative models transform noise into data by inverting a process that progressively adds noise to data samples. Inspired by concepts from the renormalization group in physics, which analyzes systems across different scales, we…

Machine Learning · Computer Science 2024-10-04 Mathis Gerdes , Max Welling , Miranda C. N. Cheng

Diffusion models generalize well in practice. However, an optimal diffusion model fully memorizes the training data and therefore fails to generalize, raising the question of what induces generalization in a real diffusion model. We show…

Machine Learning · Computer Science 2026-05-21 Tim Kaiser , Markus Kollmann

Diffusion models have become a leading paradigm in generative AI, with score estimation via denoising score matching as a central component. While recent theory provides strong statistical guarantees, it typically relies on…

Machine Learning · Computer Science 2026-04-21 Yinbin Han , Meisam Razaviyayn , Renyuan Xu

Compositional generalization refers to a model's capability to generalize to newly composed input data based on the data components observed during training. It has triggered a series of compositional generalization analysis on different…

Computation and Language · Computer Science 2022-09-07 Yunshi Lan , Lei Wang , Jing Jiang , Ee-Peng Lim

Diffusion models have shown remarkable progress in various generative tasks such as image and video generation. This paper studies the problem of leveraging pretrained diffusion models for performing discriminative tasks. Specifically, we…

Computer Vision and Pattern Recognition · Computer Science 2025-04-25 Yinqi Li , Hong Chang , Ruibing Hou , Shiguang Shan , Xilin Chen

Continuous-time generative models have achieved remarkable success in image restoration and synthesis. However, controlling the composition of multiple pre-trained models remains an open challenge. Current approaches largely treat…

Machine Learning · Computer Science 2026-05-20 Riccardo Barbano , Alexander Denker , Zeljko Kereta , Runchang Li , Francisco Vargas

Although diffusion models now occupy a central place in generative modeling, introductory treatments commonly assume Euclidean data and seldom clarify their connection to discrete-state analogues. This article is a self-contained primer on…

Machine Learning · Statistics 2025-12-05 Vincent Pauline , Tobias Höppe , Kirill Neklyudov , Alexander Tong , Stefan Bauer , Andrea Dittadi

Diffusion models have been shown to implicitly generate visual content autoregressively in the frequency domain, where low-frequency components are generated earlier in the denoising process while high-frequency details emerge only in later…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Howard Xiao , Brian Chao , Lior Yariv , Gordon Wetzstein

Denoising diffusion models represent a recent emerging topic in computer vision, demonstrating remarkable results in the area of generative modeling. A diffusion model is a deep generative model that is based on two stages, a forward…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Florinel-Alin Croitoru , Vlad Hondru , Radu Tudor Ionescu , Mubarak Shah

Compositional generalization, the ability to recognize familiar parts in novel contexts, is a defining property of intelligent systems. Although modern models are trained on massive datasets, they still cover only a tiny fraction of the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Arnas Uselis , Andrea Dittadi , Seong Joon Oh

Compositional generalization is a fundamental trait in humans, allowing us to effortlessly combine known phrases to form novel sentences. Recent works have claimed that standard seq-to-seq models severely lack the ability to compositionally…

Computation and Language · Computer Science 2022-03-16 Arkil Patel , Satwik Bhattamishra , Phil Blunsom , Navin Goyal

Compositional generalization-the ability to interpret novel combinations of familiar components-remains a persistent challenge for neural networks. Behavioral evaluations reveal \emph{when} models fail but offer limited insight into…

Machine Learning · Computer Science 2026-03-25 Zhiyu An , Wan Du

Generative diffusion models can provide powerful prior probability models for inverse problems in imaging, but existing implementations suffer from two key limitations: $(i)$ the prior density is represented implicitly, and $(ii)$ they rely…

Machine Learning · Computer Science 2026-05-19 Nicolas Zilberstein , Santiago Segarra , Eero Simoncelli , Florentin Guth

This paper demonstrates how to use generative models trained for image synthesis as tools for visual data mining. Our insight is that since contemporary generative models learn an accurate representation of their training data, we can use…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Ioannis Siglidis , Aleksander Holynski , Alexei A. Efros , Mathieu Aubry , Shiry Ginosar

Iterative generative models, such as noise conditional score networks and denoising diffusion probabilistic models, produce high quality samples by gradually denoising an initial noise vector. However, their denoising process has many…

Machine Learning · Computer Science 2021-01-08 Eric Luhman , Troy Luhman

Diffusion models are a class of probabilistic generative models that have been widely used as a prior for image processing tasks like text conditional generation and inpainting. We demonstrate that these models can be adapted to make…

Machine Learning · Computer Science 2023-06-14 Marc Finzi , Anudhyan Boral , Andrew Gordon Wilson , Fei Sha , Leonardo Zepeda-Núñez

Guiding unconditional diffusion models typically requires either retraining with conditional inputs or per-step gradient computations (e.g., classifier-based guidance), both of which incur substantial computational overhead. We present a…

Machine Learning · Computer Science 2026-02-13 Qingsong Wang , Mikhail Belkin , Yusu Wang

When writing programs, people have the ability to tackle a new complex task by decomposing it into smaller and more familiar subtasks. While it is difficult to measure whether neural program synthesis methods have similar capabilities, what…

Machine Learning · Computer Science 2023-10-31 Kensen Shi , Joey Hong , Manzil Zaheer , Pengcheng Yin , Charles Sutton