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Diffusion models (DM) can gradually learn to remove noise, which have been widely used in artificial intelligence generated content (AIGC) in recent years. The property of DM for eliminating noise leads us to wonder whether DM can be…

Information Theory · Computer Science 2023-09-19 Tong Wu , Zhiyong Chen , Dazhi He , Liang Qian , Yin Xu , Meixia Tao , Wenjun Zhang

Data-dependent metrics are powerful tools for learning the underlying structure of high-dimensional data. This article develops and analyzes a data-dependent metric known as diffusion state distance (DSD), which compares points using a…

Machine Learning · Statistics 2020-03-10 Lenore Cowen , Kapil Devkota , Xiaozhe Hu , James M. Murphy , Kaiyi Wu

In this work, we investigate the diffusive optical tomography (DOT) problem in the case that limited boundary measurements are available. Motivated by the direct sampling method (DSM), we develop a deep direct sampling method (DDSM) to…

Numerical Analysis · Mathematics 2021-05-10 Jiahua Jiang , Yi Li , Ruchi Guo

Image deep features extracted by pre-trained networks are known to contain rich and informative representations. In this paper, we present Deep Degradation Response (DDR), a method to quantify changes in image deep features under varying…

Computer Vision and Pattern Recognition · Computer Science 2024-10-16 Juncheng Wu , Zhangkai Ni , Hanli Wang , Wenhan Yang , Yuyin Zhou , Shiqi Wang

Diffusion Models (DMs), also referred to as score-based diffusion models, utilize neural networks to specify score functions. Unlike most other probabilistic models, DMs directly model the score functions, which makes them more flexible to…

Machine Learning · Computer Science 2023-04-11 Weijian Luo

We introduce the method of compressed dynamic mode decomposition (cDMD) for background modeling. The dynamic mode decomposition (DMD) is a regression technique that integrates two of the leading data analysis methods in use today: Fourier…

Computer Vision and Pattern Recognition · Computer Science 2016-12-13 N. Benjamin Erichson , Steven L. Brunton , J. Nathan Kutz

Dynamic mode decomposition (DMD) is a data-driven method that models high-dimensional time series as a sum of spatiotemporal modes, where the temporal modes are constrained by linear dynamics. For nonlinear dynamical systems exhibiting…

Dynamical Systems · Mathematics 2019-06-17 Seth M. Hirsh , Kameron Decker Harris , J. Nathan Kutz , Bingni W. Brunton

Harmonic instability occurs frequently in the power electronic converter system. This paper leverages multi-resolution dynamic mode decomposition (MR-DMD) as a data-driven diagnostic tool for the system stability of power electronic…

Signal Processing · Electrical Eng. & Systems 2024-04-16 Rui Kong , Subham Sahoo , Yongjie Liu , Frede Blaabjerg

Generic event boundary detection is an important yet challenging task in video understanding, which aims at detecting the moments where humans naturally perceive event boundaries. The main challenge of this task is perceiving various…

Computer Vision and Pattern Recognition · Computer Science 2022-04-04 Jiaqi Tang , Zhaoyang Liu , Chen Qian , Wayne Wu , Limin Wang

Diffusion models (DMs) are one of the most widely used generative models for producing high quality images. However, a flurry of recent papers points out that DMs are least private forms of image generators, by extracting a significant…

Machine Learning · Statistics 2025-03-06 Michael F. Liu , Saiyue Lyu , Margarita Vinaroz , Mijung Park

Dataset condensation (DC) methods aim to learn a smaller synthesized dataset with informative data records to accelerate the training of machine learning models. Current distribution matching (DM) based DC methods learn a synthesized…

Machine Learning · Computer Science 2024-06-17 Wei Wei , Tom De Schepper , Kevin Mets

Color vision deficiency (CVD) affects more than 4% of the population and leads to a different visual perception of colors. Though this has been known for decades, colormaps with many colors across the visual spectra are often used to…

Computer Vision and Pattern Recognition · Computer Science 2018-08-03 Jamie R. Nuñez , Christopher R. Anderton , Ryan S. Renslow

Dimensionality Reduction (DR) techniques such as t-SNE and UMAP are popular for transforming complex datasets into simpler visual representations. However, while effective in uncovering general dataset patterns, these methods may introduce…

Human-Computer Interaction · Computer Science 2024-04-19 Parisa Salmanian , Angelos Chatzimparmpas , Ali Can Karaca , Rafael M. Martins

Deep learning-based dense object detectors have achieved great success in the past few years and have been applied to numerous multimedia applications such as video understanding. However, the current training pipeline for dense detectors…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Zehui Chen , Chenhongyi Yang , Qiaofei Li , Feng Zhao , Zheng-Jun Zha , Feng Wu

Recent data-driven image colorization methods have enabled automatic or reference-based colorization, while still suffering from unsatisfactory and inaccurate object-level color control. To address these issues, we propose a new method…

Computer Vision and Pattern Recognition · Computer Science 2023-08-04 Jianxin Lin , Peng Xiao , Yijun Wang , Rongju Zhang , Xiangxiang Zeng

We present a differentiable representation, DMesh, for general 3D triangular meshes. DMesh considers both the geometry and connectivity information of a mesh. In our design, we first get a set of convex tetrahedra that compactly tessellates…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Sanghyun Son , Matheus Gadelha , Yang Zhou , Zexiang Xu , Ming C. Lin , Yi Zhou

The Dynamic Mode Decomposition (DMD) extracted dynamic modes are the non-orthogonal eigenvectors of the matrix that best approximates the one-step temporal evolution of the multivariate samples. In the context of dynamical system analysis,…

Statistics Theory · Mathematics 2020-03-09 Arvind Prasadan , Raj Rao Nadakuditi

Precise human mesh recovery (HMR) from multi-view images remains challenging: end-to-end methods produce entangled errors hard to localize, while fitting-based methods rely on sparse keypoints that provide limited surface constraints. We…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Renke Wang , Zhenyu Zhang , Ying Tai , Jun Li , Jian Yang

Dataset Condensation (DC) has emerged as a promising solution to mitigate the computational and storage burdens associated with training deep learning models. However, existing DC methods largely overlook the multi-domain nature of modern…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Jaehyun Choi , Gyojin Han , Dong-Jae Lee , Sunghyun Baek , Junmo Kim

Continuous Conditional Generative Modeling (CCGM) estimates high-dimensional data distributions, such as images, conditioned on scalar continuous variables (aka regression labels). While Continuous Conditional Generative Adversarial…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Xin Ding , Yongwei Wang , Kao Zhang , Z. Jane Wang