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Most existing unsupervised domain adaptation methods mainly focused on aligning the marginal distributions of samples between the source and target domains. This setting does not sufficiently consider the class distribution information…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Wanqi Yang , Tong Ling , Chengmei Yang , Lei Wang , Yinghuan Shi , Luping Zhou , Ming Yang

We develop a principled framework for analyzing and designing noise schedules in diffusion models. We show that one can recast this design problem as an optimal control problem, whose state is the Fisher information of the diffusion process…

Machine Learning · Computer Science 2026-05-22 Seo Taek Kong , Weina Wang , R. Srikant

Gradient flow in the 2-Wasserstein space is widely used to optimize functionals over probability distributions and is typically implemented using an interacting particle system with $n$ particles. Analyzing these algorithms requires showing…

Machine Learning · Computer Science 2026-03-27 Chandan Tankala , Dheeraj M. Nagaraj , Anant Raj

The strategy of combining diffusion-based generative models with classifiers continues to demonstrate state-of-the-art performance on adversarial robustness benchmarks. Known as adversarial purification, this exploits a diffusion model's…

Cryptography and Security · Computer Science 2026-01-06 David D. Nguyen , The-Anh Ta , Yansong Gao , Alsharif Abuadbba

Generative Adversarial Networks (GANs) dominate the research field in image-based virtual try-on, but have not resolved problems such as unnatural deformation of garments and the blurry generation quality. While the generative quality of…

Computer Vision and Pattern Recognition · Computer Science 2024-04-29 Jianhao Zeng , Dan Song , Weizhi Nie , Hongshuo Tian , Tongtong Wang , Anan Liu

We present Path Integral Sampler~(PIS), a novel algorithm to draw samples from unnormalized probability density functions. The PIS is built on the Schr\"odinger bridge problem which aims to recover the most likely evolution of a diffusion…

Machine Learning · Computer Science 2022-03-11 Qinsheng Zhang , Yongxin Chen

Being a form of biometric identification, the security of the speaker identification (SID) system is of utmost importance. To better understand the robustness of SID systems, we aim to perform more realistic attacks in SID, which are…

Sound · Computer Science 2025-01-10 Qing Wang , Jixun Yao , Zhaokai Sun , Pengcheng Guo , Lei Xie , John H. L. Hansen

Score Distillation Sampling (SDS) and its variants have been widely used for text-to-3D generation by distilling 2D image diffusion priors. However, the standard SDS objective is prone to severe mode collapse, frequently yielding…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Rohith Ramanan , A. N. Rajagopalan

Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The application of optimal control to stochastic systems is an…

Statistical Mechanics · Physics 2024-09-18 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

Diffusion models learn to denoise data and the trained denoiser is then used to generate new samples from the data distribution. In this paper, we revisit the diffusion sampling process and identify a fundamental cause of sample quality…

Machine Learning · Computer Science 2024-11-05 Yunshu Wu , Yingtao Luo , Xianghao Kong , Evangelos E. Papalexakis , Greg Ver Steeg

Denoising diffusion probabilistic models (DDPMs) are a recent family of generative models that achieve state-of-the-art results. In order to obtain class-conditional generation, it was suggested to guide the diffusion process by gradients…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Bahjat Kawar , Roy Ganz , Michael Elad

Sampling from an unknown distribution, accessible only through discrete samples, is a fundamental problem at the core of generative AI. The current state-of-the-art methods follow a two-step process: first, estimating the score function…

Machine Learning · Computer Science 2026-05-20 Samuel Hurault , Matthieu Terris , Thomas Moreau , Gabriel Peyré

Controllability is a fundamental requirement in video synthesis, where accurate alignment with conditioning signals is essential. Existing classifier-free guidance methods typically achieve conditioning indirectly by modeling the joint…

Computer Vision and Pattern Recognition · Computer Science 2025-12-25 Weiqi Li , Zehao Zhang , Liang Lin , Guangrun Wang

Despite the remarkable empirical success of score-based diffusion models, their statistical guarantees remain underdeveloped. Existing analyses often provide pessimistic convergence rates that do not reflect the intrinsic low-dimensional…

Machine Learning · Statistics 2026-04-24 Saptarshi Chakraborty , Quentin Berthet , Peter L. Bartlett

Data privacy protection is garnering increased attention among researchers. Diffusion models (DMs), particularly with strict differential privacy, can potentially produce images with both high privacy and visual quality. However, challenges…

Machine Learning · Computer Science 2024-12-09 Qipan Xu , Youlong Ding , Xinxi Zhang , Jie Gao , Hao Wang

Diffusion models and score-based generative models provide a powerful framework for synthesizing high-quality images from noise. However, there is still no satisfactory theory that describes how coarse-grained quantities, such as blockwise…

Machine Learning · Computer Science 2026-01-07 Tatsuaki Tsuruyama

Diffusion models have recently gained prominence in offline reinforcement learning due to their ability to effectively learn high-performing, generalizable policies from static datasets. Diffusion-based planners facilitate long-horizon…

Machine Learning · Computer Science 2025-10-27 Donghyeon Ki , JunHyeok Oh , Seong-Woong Shim , Byung-Jun Lee

It has been recognized that the data generated by the denoising diffusion probabilistic model (DDPM) improves adversarial training. After two years of rapid development in diffusion models, a question naturally arises: can better diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Zekai Wang , Tianyu Pang , Chao Du , Min Lin , Weiwei Liu , Shuicheng Yan

Dataset distillation seeks to synthesize a compact distilled dataset, enabling models trained on it to achieve performance comparable to models trained on the full dataset. Recent methods for large-scale datasets focus on matching global…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Xiao Cui , Yulei Qin , Wengang Zhou , Hongsheng Li , Houqiang Li

We study counterfactual distribution learning for high-dimensional outcomes whose counterfactual law may concentrate near lower-dimensional structure. Standard isotropic smoothing treats all ambient directions equally, leading to…

Methodology · Statistics 2026-05-26 Kwangho Kim