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Denoising Diffusion Probabilistic Models (DDPM) are powerful state-of-the-art methods used to generate synthetic data from high-dimensional data distributions and are widely used for image, audio, and video generation as well as many more…

Machine Learning · Statistics 2025-04-25 Iskander Azangulov , George Deligiannidis , Judith Rousseau

In medical imaging, the diffusion models have shown great potential for synthetic image generation tasks. However, these approaches often lack the interpretable connections between the generated and real images and can create anatomically…

Image and Video Processing · Electrical Eng. & Systems 2026-02-12 Jian-Qing Zheng , Yuanhan Mo , Yang Sun , Jiahua Li , Fuping Wu , Ziyang Wang , Tonia Vincent , Bartłomiej W. Papież

Out-of-Distribution (OoD) detection aims to justify whether a given sample is from the training distribution of the classifier-under-protection, i.e., In-Distribution (InD), or from OoD. Diffusion Models (DMs) are recently utilized in OoD…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Kun Fang , Qinghua Tao , Zuopeng Yang , Xiaolin Huang , Jie Yang

The family of Expectation-Maximization (EM) algorithms provides a general approach to fitting flexible models for large and complex data. The expectation (E) step of EM-type algorithms is time-consuming in massive data applications because…

Computation · Statistics 2018-06-21 Sanvesh Srivastava , Glen DePalma , Chuanhai Liu

Euclidean distance matrices (EDMs) are a major tool for localization from distances, with applications ranging from protein structure determination to global positioning and manifold learning. They are, however, static objects which serve…

Signal Processing · Electrical Eng. & Systems 2019-03-19 Puoya Tabaghi , Ivan Dokmanić , Martin Vetterli

The analysis of contagion-diffusion processes in metapopulations is a powerful theoretical tool to study how mobility influences the spread of communicable diseases. Nevertheless, many metapopulation approaches use indistinguishable agents…

Physics and Society · Physics 2022-04-20 Pablo Valgañón , David Soriano-Paños , Alex Arenas , Jesús Gómez-Gardeñes

Diffusion maps (DM) constitute a classic dimension reduction technique, for data lying on or close to a (relatively) low-dimensional manifold embedded in a much larger dimensional space. The DM procedure consists in constructing a spectral…

Machine Learning · Statistics 2022-03-08 Shan Shan , Ingrid Daubechies

Training deep learning recommendation models (DLRMs) on edge workers brings several benefits, particularly in terms of data privacy protection, low latency and personalization. However, due to the huge size of embedding tables, typical DLRM…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-29 Guopeng Li , Haisheng Tan , Chi Zhang , Hongqiu Ni , Zilong Wang , Xinyue Zhang , Yang Xu , Han Tian

We consider two natural statistics on pairs of histograms, in which the $n$ bins have weights $0, \ldots, n-1$. The difference ($\mathbf{D}$) between the weighted totals of the histograms is, in a sense, refined by the earth mover's…

Combinatorics · Mathematics 2023-02-14 William Q. Erickson

Diffusion Generative Models (DGM) have rapidly surfaced as emerging topics in the field of computer vision, garnering significant interest across a wide array of deep learning applications. Despite their high computational demand, these…

Image and Video Processing · Electrical Eng. & Systems 2024-11-26 Denisha Thakkar , Vincent Quoc-Huy Trinh , Sonal Varma , Samira Ebrahimi Kahou , Hassan Rivaz , Mahdi S. Hosseini

Both the weighted and unweighted Unifrac distances have been very successfully employed to assess if two communities differ, but do not give any information about how two communities differ. We take advantage of recent observations that the…

Quantitative Methods · Quantitative Biology 2016-11-16 Jason McClelland , David Koslicki

Empirical mode decomposition (EMD) has developed into a prominent tool for adaptive, scale-based signal analysis in various fields like robotics, security and biomedical engineering. Since the dramatic increase in amount of data puts…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Jin Zhang , Fan Feng , Pere Marti-Puig , Cesar F. Caiafa , Zhe Sun , Feng Duan , Jordi Solé-Casals

The Vision-Language Foundation Model has recently shown outstanding performance in various perception learning tasks. The outstanding performance of the vision-language model mainly relies on large-scale pre-training datasets and different…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Thanh-Dat Truong , Xin Li , Bhiksha Raj , Jackson Cothren , Khoa Luu

In-bed human mesh recovery can be crucial and enabling for several healthcare applications, including sleep pattern monitoring, rehabilitation support, and pressure ulcer prevention. However, it is difficult to collect large real-world…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Jing Gao , Ce Zheng , Laszlo A. Jeni , Zackory Erickson

Recent studies on plant disease diagnosis using machine learning (ML) have highlighted concerns about the overestimated diagnostic performance due to inappropriate data partitioning, where training and test datasets are derived from the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Yuji Arima , Satoshi Kagiwada , Hitoshi Iyatomi

In this paper, we propose Complex Diffusion Maps (CDM), a novel diffusion mapping framework that aims to reveal the dominant complex harmonics of high-dimensional data. Inspired by the local Gaussian kernel relevant to the heat equation and…

Machine Learning · Computer Science 2026-05-05 Tongzhen Dang , Weiyang Ding , Michael K. Ng

Dynamic Mode Decomposition (DMD) is a powerful data-driven method used to extract spatio-temporal coherent structures that dictate a given dynamical system. The method consists of stacking collected temporal snapshots into a matrix and…

Machine Learning · Computer Science 2021-05-11 Gabriel F. Barros , Malú Grave , Alex Viguerie , Alessandro Reali , Alvaro L. G. A. Coutinho

Consider $n$ agents connected over a network collaborating to minimize the average of their local cost functions combined with a common nonsmooth function. This paper introduces a unified algorithmic framework for solving such a problem…

Optimization and Control · Mathematics 2026-05-05 Kun Huang , Shi Pu , Angelia Nedić

Diffusion Transformers (DiTs) have emerged as a leading architecture for text-to-image synthesis, producing high-quality and photorealistic images. However, the quadratic scaling properties of the attention in DiTs hinder image generation…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Philipp Becker , Abhinav Mehrotra , Ruchika Chavhan , Malcolm Chadwick , Luca Morreale , Mehdi Noroozi , Alberto Gil Ramos , Sourav Bhattacharya

Recent advances in diffusion models have demonstrated their strong capabilities in generating high-fidelity samples from complex distributions through an iterative refinement process. Despite the empirical success of diffusion models in…

Robotics · Computer Science 2024-07-03 Chaoyi Pan , Zeji Yi , Guanya Shi , Guannan Qu
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