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In this paper, we consider performance analysis of the decentralized power method for the eigendecomposition of the sample covariance matrix based on the averaging consensus protocol. An analytical expression of the second order statistics…

Applications · Statistics 2016-05-04 W. Suleiman , M. Pesavento , A. M. Zoubir

Ambiguity in medical image segmentation calls for models that capture full conditional distributions rather than a single point estimate. We present Prior-Guided Residual Diffusion (PGRD), a diffusion-based framework that learns voxel-wise…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Fuyou Mao , Beining Wu , Yanfeng Jiang , Han Xue , Yan Tang , Hao Zhang

Optical microscopy is an essential tool in biology and medicine. Imaging thin, yet non-flat objects in a single shot (without relying on more sophisticated sectioning setups) remains challenging as the shallow depth of field that comes with…

Image and Video Processing · Electrical Eng. & Systems 2020-10-14 Adrian Shajkofci , Michael Liebling

We present a new method for complex frequency estimation in several variables, extending the classical (1d) ESPRIT-algorithm. We also consider how to work with data sampled on non-standard domains (i.e going beyond multi-rectangles).

Numerical Analysis · Mathematics 2018-08-23 Fredrik Andersson , Marcus Carlsson

Dynamic surface reconstruction of objects from point cloud sequences is a challenging field in computer graphics. Existing approaches either require multiple regularization terms or extensive training data which, however, lead to…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Julian Kaltheuner , Alexander Oebel , Hannah Droege , Patrick Stotko , Reinhard Klein

Spiking Graph Networks (SGNs) have demonstrated significant potential in graph classification by emulating brain-inspired neural dynamics to achieve energy-efficient computation. However, existing SGNs are generally constrained to…

Machine Learning · Computer Science 2025-09-29 Yingxu Wang , Mengzhu Wang , Houcheng Su , Nan Yin , Quanming Yao , James Kwok

Stein variational gradient descent (SVGD) is a recently proposed particle-based Bayesian inference method, which has attracted a lot of interest due to its remarkable approximation ability and particle efficiency compared to traditional…

Machine Learning · Statistics 2018-06-11 Jingwei Zhuo , Chang Liu , Jiaxin Shi , Jun Zhu , Ning Chen , Bo Zhang

The article discusses distributed gradient-descent algorithms for computing local and global minima in nonconvex optimization. For local optimization, we focus on distributed stochastic gradient descent (D-SGD)--a simple network-based…

Optimization and Control · Mathematics 2020-09-17 Brian Swenson , Soummya Kar , H. Vincent Poor , José M. F. Moura , Aaron Jaech

Distributed training is an effective way to accelerate the training process of large-scale deep learning models. However, the parameter exchange and synchronization of distributed stochastic gradient descent introduce a large amount of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-16 LingFei Dai , Boyu Diao , Chao Li , Yongjun Xu

Score-based generative models (SGMs) have recently emerged as a promising class of generative models. However, a fundamental limitation is that their sampling process is slow due to a need for many (e.g., 2000) iterations of sequential…

Computer Vision and Pattern Recognition · Computer Science 2025-03-03 Hengyuan Ma , Xiatian Zhu , Jianfeng Feng , Li Zhang

We present a novel machine-learning approach for detecting faint point sources in high-contrast adaptive optics imaging datasets. The most widely used algorithms for primary subtraction aim to decouple bright stellar speckle noise from…

Instrumentation and Methods for Astrophysics · Physics 2023-12-07 Trevor N. Wolf , Brandon A. Jones , Brendan P. Bowler

Forward gradient descent (FGD) has been proposed as a biologically more plausible alternative of gradient descent as it can be computed without backward pass. Considering the linear model with $d$ parameters, previous work has found that…

Statistics Theory · Mathematics 2024-11-27 Niklas Dexheimer , Johannes Schmidt-Hieber

As ground-based all-sky astronomical surveys will gather millions of images in the coming years, a critical requirement emerges for the development of fast deconvolution algorithms capable of efficiently improving the spatial resolution of…

Instrumentation and Methods for Astrophysics · Physics 2024-07-31 Utsav Akhaury , Pascale Jablonka , Jean-Luc Starck , Frédéric Courbin

Spatial transcriptomic (ST) clustering employs spatial and transcription information to group spots spatially coherent and transcriptionally similar together into the same spatial domain. Graph convolution network (GCN) and graph attention…

Quantitative Methods · Quantitative Biology 2023-10-24 Chen Zhang , Junhui Gao , Lingxin Kong , Guangshuo cao , Xiangyu Guo , Wei Liu

Point clouds are unstructured and unordered in the embedded 3D space. In order to produce consistent responses under different permutation layouts, most existing methods aggregate local spatial points through maximum or summation operation.…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Yuan Fang , Chunyan Xu , Zhen Cui , Yuan Zong , Jian Yang

Diffusion models (DMs) have shown promise for Time-Series Data Imputation (TSDI); however, their performance remains inconsistent in complex scenarios. We attribute this to two primary obstacles: (1) non-stationary temporal dynamics, which…

Machine Learning · Computer Science 2026-02-03 Zhichao Chen , Hao Wang , Fangyikang Wang , Licheng Pan , Zhengnan Li , Yunfei Teng , Haoxuan Li , Zhouchen Lin

Diffusion models have demonstrated remarkable generative capabilities in image processing tasks. We propose a Sparse condition Temporal Rewighted Integrated Distribution Estimation guided diffusion model (STRIDE) for sparse-view CT…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Zekun Zhou , Yanru Gong , Liu Shi , Qiegen Liu

Point cloud completion aims to predict a complete shape in high accuracy from its partial observation. However, previous methods usually suffered from discrete nature of point cloud and unstructured prediction of points in local regions,…

Computer Vision and Pattern Recognition · Computer Science 2021-10-28 Peng Xiang , Xin Wen , Yu-Shen Liu , Yan-Pei Cao , Pengfei Wan , Wen Zheng , Zhizhong Han

This paper presents Sparse Gradient Descent as a solution for variable selection in convex piecewise linear regression, where the model is given as the maximum of $k$-affine functions $ x \mapsto \max_{j \in [k]} \langle a_j^\star, x…

Machine Learning · Statistics 2026-04-07 Haitham Kanj , Seonho Kim , Kiryung Lee

Recovering natural language prompts for image generation models, solely based on the generated images is a difficult discrete optimization problem. In this work, we present the first head-to-head comparison of recent discrete optimization…

Computer Vision and Pattern Recognition · Computer Science 2025-05-01 Joshua Nathaniel Williams , Avi Schwarzschild , Yutong He , J. Zico Kolter