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We show that diffusion models can achieve image sample quality superior to the current state-of-the-art generative models. We achieve this on unconditional image synthesis by finding a better architecture through a series of ablations. For…

Machine Learning · Computer Science 2021-06-02 Prafulla Dhariwal , Alex Nichol

Diffusion models have shown significant progress in image translation tasks recently. However, due to their stochastic nature, there's often a trade-off between style transformation and content preservation. Current strategies aim to…

Computer Vision and Pattern Recognition · Computer Science 2023-06-08 Gihyun Kwon , Jong Chul Ye

Score-based diffusion models have proven effective in image generation and have gained widespread usage; however, the underlying factors contributing to the performance disparity between stochastic and deterministic (i.e., the probability…

Machine Learning · Computer Science 2024-03-19 Yuji Hirono , Akinori Tanaka , Kenji Fukushima

While conditional diffusion models are known to have good coverage of the data distribution, they still face limitations in output diversity, particularly when sampled with a high classifier-free guidance scale for optimal image quality or…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Seyedmorteza Sadat , Jakob Buhmann , Derek Bradley , Otmar Hilliges , Romann M. Weber

In this work, we initiate a formal study of probably approximately correct (PAC) learning under evasion attacks, where the adversary's goal is to \emph{misclassify} the adversarially perturbed sample point $\widetilde{x}$, i.e.,…

Machine Learning · Computer Science 2019-06-14 Dimitrios I. Diochnos , Saeed Mahloujifar , Mohammad Mahmoody

We provide full theoretical guarantees for the convergence behaviour of diffusion-based generative models under the assumption of strongly log-concave data distributions while our approximating class of functions used for score estimation…

Machine Learning · Computer Science 2025-02-18 Stefano Bruno , Ying Zhang , Dong-Young Lim , Ömer Deniz Akyildiz , Sotirios Sabanis

The mean-field control problem for a multi-dimensional diffusion-aggregation system with Coulomb interaction (the so called parabolic elliptic Keller-Segel system) is considered. The existence of optimal control is proved through the…

Optimization and Control · Mathematics 2024-10-21 Li Chen , Yucheng Wang , Zhao Wang

LiDAR perception is severely limited by the distance-dependent sparsity of distant objects. While diffusion models can recover dense geometry, they suffer from prohibitive latency and physical hallucinations manifesting as ghost points. We…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Zeping Zhang , Robert Laganière

In the ever-evolving adversarial machine learning landscape, developing effective defenses against patch attacks has become a critical challenge, necessitating reliable solutions to safeguard real-world AI systems. Although diffusion models…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Jia Fu , Xiao Zhang , Sepideh Pashami , Fatemeh Rahimian , Anders Holst

We propose a linear programming (LP) framework for steady-state diffusion and flux optimization on geometric networks. The state variable satisfies a discrete diffusion law on a weighted, oriented graph, where conductances are scaled by…

Optimization and Control · Mathematics 2025-11-06 Harbir Antil , Rainald Löhner , Felipe Pérez

We revisit the work of Mitter and Newton on an information-theoretic interpretation of Bayes' formula through the Gibbs variational principle. This formulation allowed them to pose nonlinear estimation for diffusion processes as a problem…

Optimization and Control · Mathematics 2024-05-02 Maxim Raginsky

Recent advances in powerful pre-trained diffusion models encourage the development of methods to improve the sampling performance under well-trained diffusion models. This paper introduces Diffusion Rejection Sampling (DiffRS), which uses a…

Machine Learning · Computer Science 2024-05-29 Byeonghu Na , Yeongmin Kim , Minsang Park , Donghyeok Shin , Wanmo Kang , Il-Chul Moon

Diffusion models form an important class of generative models today, accounting for much of the state of the art in cutting edge AI research. While numerous extensions beyond image and video generation exist, few of such approaches address…

Machine Learning · Computer Science 2025-04-30 Hao Luan , See-Kiong Ng , Chun Kai Ling

Inference-time alignment for diffusion models aims to adapt a pre-trained reference diffusion model toward a target distribution without retraining the reference score network, thereby preserving the generative capacity of the reference…

Machine Learning · Statistics 2026-02-05 Jinyuan Chang , Chenguang Duan , Yuling Jiao , Yi Xu , Jerry Zhijian Yang

We consider time discretization for score-based diffusion models to generate samples from a learned reverse-time dynamic on a finite grid. Uniform and hand-crafted grids can be suboptimal given a budget on the number of time steps. We…

Machine Learning · Computer Science 2026-05-11 Yilie Huang , Wenpin Tang , Xunyu Zhou

Score-based diffusion models have demonstrated outstanding empirical performance in machine learning and artificial intelligence, particularly in generating high-quality new samples from complex probability distributions. Improving the…

Machine Learning · Statistics 2025-05-30 Yuchen Jiao , Gen Li

Discrete diffusion models (DDMs) have shown powerful generation ability for discrete data modalities like text and molecules. However, their practical application is hindered by inefficient sampling, requiring a large number of sampling…

Machine Learning · Computer Science 2025-09-25 Feiyang Fu , Tongxian Guo , Zhaoqiang Liu

Class-conditional image generation using generative adversarial networks (GANs) has been investigated through various techniques; however, it continues to face challenges such as mode collapse, training instability, and low-quality output…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Taesun Yeom , Minhyeok Lee

Recent advances in diffusion models attempt to handle conditional generative tasks by utilizing a differentiable loss function for guidance without the need for additional training. While these methods achieved certain success, they often…

Machine Learning · Computer Science 2024-07-08 Lingxiao Yang , Shutong Ding , Yifan Cai , Jingyi Yu , Jingya Wang , Ye Shi

Learned cardinality estimation requires accurate model designs to capture the local characteristics of probability distributions. However, existing models may fail to accurately capture complex, multilateral dependencies between attributes.…

Databases · Computer Science 2025-12-18 Xinhe Mu , Zhaoqi Zhou , Zaijiu Shang , Chuan Zhou , Gang Fu , Guiying Yan , Guoliang Li , Zhiming Ma