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Related papers: D-iteration: evaluation of the update algorithm

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In this paper, we revisit the D-iteration algorithm in order to better explain different performance results that were observed for the numerical computation of the eigenvector associated to the PageRank score. We revisit here the practical…

Numerical Analysis · Computer Science 2012-04-30 Dohy Hong , Gérard Burnside , Philippe Raoult

We introduce Diffusion Active Learning, a novel approach that combines generative diffusion modeling with data-driven sequential experimental design to adaptively acquire data for inverse problems. Although broadly applicable, we focus on…

Machine Learning · Computer Science 2025-04-07 Luis Barba , Johannes Kirschner , Tomas Aidukas , Manuel Guizar-Sicairos , Benjamín Béjar

Diffusion models have achieved significant progress in both image and video generation while still suffering from huge computation costs. As an effective solution, flow matching aims to reflow the diffusion process of diffusion models into…

Graphics · Computer Science 2025-03-13 Lei Ke , Haohang Xu , Xuefei Ning , Yu Li , Jiajun Li , Haoling Li , Yuxuan Lin , Dongsheng Jiang , Yujiu Yang , Linfeng Zhang

Distributed diffusion is a powerful algorithm for multi-task state estimation which enables networked agents to interact with neighbors to process input data and diffuse information across the network. Compared to a centralized approach,…

Multiagent Systems · Computer Science 2020-03-27 Jiani Li , Xenofon Koutsoukos

Robust invisible watermarking aims to embed hidden messages into images such that they survive various manipulations while remaining imperceptible. However, powerful diffusion-based image generation and editing models now enable realistic…

Cryptography and Security · Computer Science 2025-11-11 Wenkai Fu , Finn Carter , Yue Wang , Emily Davis , Bo Zhang

Diffusion distillation methods aim to compress the diffusion models into efficient one-step generators while trying to preserve quality. Among them, Distribution Matching Distillation (DMD) offers a suitable framework for training…

Computer Vision and Pattern Recognition · Computer Science 2024-06-24 Denis Rakitin , Ivan Shchekotov , Dmitry Vetrov

We present the Deep Picard Iteration (DPI) method, a new deep learning approach for solving high-dimensional partial differential equations (PDEs). The core innovation of DPI lies in its use of Picard iteration to reformulate the typically…

Numerical Analysis · Mathematics 2025-07-08 Jiequn Han , Wei Hu , Jihao Long , Yue Zhao

In this paper, we focus on Dynamic Execution techniques that optimize the computation flow based on input. This aims to identify simpler problems that can be solved using fewer resources, similar to human cognition. The techniques discussed…

Machine Learning · Computer Science 2024-11-05 Haim Barad , Jascha Achterberg , Tien Pei Chou , Jean Yu

Representation learning on graphs that evolve has recently received significant attention due to its wide application scenarios, such as bioinformatics, knowledge graphs, and social networks. The propagation of information in graphs is…

Machine Learning · Computer Science 2021-06-04 Mingyi Liu , Zhiying Tu , Xiaofei Xu , Zhongjie Wang

Through introducing a new iterative formula for divided differnce using Neville's and Aitken's algorithms,we study new iterative methods for interpolation,numerical differentiation and numerical integration formulas with arbitrary order of…

Numerical Analysis · Mathematics 2009-09-29 Ramesh Kumar Muthumalai

This note provides a critical review of the mathematical concepts underlying the generalized diffusion denoising implicit model (gDDIM) and the exponential integrator (EI) scheme. We present enhanced mathematical results, including an exact…

Machine Learning · Computer Science 2024-08-15 Manhyung Han

In this paper, we revisit the D-iteration algorithm in order to better explain its connection to the Gauss-Seidel method and different performance results that were observed. In particular, we study here the practical computation cost based…

Numerical Analysis · Computer Science 2012-03-28 Dohy Hong

In this paper a novel hybrid approach for compensating the distortion of any interpolation has been proposed. In this hybrid method, a modular approach was incorporated in an iterative fashion. By using this approach we can get drastic…

Multimedia · Computer Science 2010-09-21 A. ParandehGheibi , M. A. Akhaee , A. Ayremlou , M. A. Rahimian , F. Marvasti

Diffusion and flow-based models have become the state of the art for generative AI across a wide range of data modalities, including images, videos, shapes, molecules, music, and more. This tutorial provides a self-contained introduction to…

Machine Learning · Computer Science 2026-03-19 Peter Holderrieth , Ezra Erives

Diffusion inversion aims to recover the initial noise corresponding to a given image such that this noise can reconstruct the original image through the denoising diffusion process. The key component of diffusion inversion is to minimize…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Yifei Chen , Kaiyu Song , Yan Pan , Jianxing Yu , Jian Yin , Hanjiang Lai

Recommender systems remain an essential topic due to its wide application and business potential. Given the great generation capability exhibited by diffusion models in computer vision recently, many recommender systems have adopted…

Information Retrieval · Computer Science 2026-03-03 Ting-Ruen Wei , Yi Fang

Data distillation is the problem of reducing the volume oftraining data while keeping only the necessary information. With thispaper, we deeper explore the new data distillation algorithm, previouslydesigned for image data. Our experiments…

Machine Learning · Computer Science 2020-10-21 Dmitry Medvedev , Alexander D'yakonov

DragDiffusion is a diffusion-based method for interactive point-based image editing that enables users to manipulate images by directly dragging selected points. The method claims that accurate spatial control can be achieved by optimizing…

Computer Vision and Pattern Recognition · Computer Science 2026-02-16 Ali Subhan , Ashir Raza

The paper explains iterative and non-iterative approaches to control optimization with use of the Fourier series-based method. Both variants of the presented algorithm are used to numerically approximate optimal control of a discontinuous…

Optimization and Control · Mathematics 2024-10-10 Sandra Zarychta , Marek Balcerzak , Jerzy Wojewoda

Physics-informed deep learning has been developed as a novel paradigm for learning physical dynamics recently. While general physics-informed deep learning methods have shown early promise in learning fluid dynamics, they are difficult to…

Fluid Dynamics · Physics 2024-06-07 Jing Qiu , Jiancheng Huang , Xiangdong Zhang , Zeng Lin , Minglei Pan , Zengding Liu , Fen Miao