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We propose a new Graph Neural Network that combines recent advancements in the field. We give theoretical contributions by proving that the model is strictly more general than the Graph Isomorphism Network and the Gated Graph Neural…

Machine Learning · Computer Science 2020-01-27 Federico Errica , Davide Bacciu , Alessio Micheli

Given an undirected, edge-weighted graph G together with pairs of vertices, called pairs of terminals, the minimum multicut problem asks for a minimum-weight set of edges such that, after deleting these edges, the two terminals of each pair…

Data Structures and Algorithms · Computer Science 2016-11-24 Éric Colin de Verdière

We present a parallel algorithm for computing the minimum s-t cut in structured 3-dimensional proper order graphs arising from image segmentation problems. Proper order graphs are multi-column structures where vertices are arranged in…

Data Structures and Algorithms · Computer Science 2026-01-27 Shridharan Chandramouli

This paper introduces a decentralized state-dependent Markov chain synthesis (DSMC) algorithm for finite-state Markov chains. We present a state-dependent consensus protocol that achieves exponential convergence under mild technical…

Optimization and Control · Mathematics 2024-04-29 Samet Uzun , Nazim Kemal Ure , Behcet Acikmese

Current graph neural networks (GNNs) that tackle node classification on graphs tend to only focus on nodewise scores and are solely evaluated by nodewise metrics. This limits uncertainty estimation on graphs since nodewise marginals do not…

Machine Learning · Computer Science 2022-10-28 Hans Hao-Hsun Hsu , Yuesong Shen , Daniel Cremers

For graph self-supervised learning (GSSL), masked autoencoder (MAE) follows the generative paradigm and learns to reconstruct masked graph edges or node features. Contrastive Learning (CL) maximizes the similarity between augmented views of…

Machine Learning · Computer Science 2023-10-25 Yuxiang Wang , Xiao Yan , Chuang Hu , Fangcheng Fu , Wentao Zhang , Hao Wang , Shuo Shang , Jiawei Jiang

Gaussian splatting (GS) struggles with degraded rendering quality on low-cost devices. To address this issue, we present edge collaborative GS (ECO-GS), where each user can switch between a local small GS model to guarantee timeliness and a…

Information Theory · Computer Science 2026-01-30 Yujie Wan , Chenxuan Liu , Shuai Wang , Tong Zhang , James Jianqiao Yu , Kejiang Ye , Dusit Niyato , Chengzhong Xu

Elliptical slice sampling, when adapted to linearly truncated multivariate normal distributions, is a rejection-free Markov chain Monte Carlo method. At its core, it requires analytically constructing an ellipse-polytope intersection. The…

Machine Learning · Computer Science 2024-07-16 Kaiwen Wu , Jacob R. Gardner

Semantic segmentation is a classic and fundamental computer vision problem dedicated to assigning each pixel with its corresponding class. Some recent methods introduce edge-based information for improving the segmentation performance.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Jianye Yi , Xiaopin Zhong , Weixiang Liu , Wenxuan Zhu , Zongze Wu , Yuanlong Deng

Elliptical slice sampling is a widely used gradient-free Markov chain Monte Carlo algorithm that is tuning-free and capable of adapting to local characteristics of the target distribution. However, its primary limitation is that sampling…

Computation · Statistics 2026-05-22 Nicholas Marco , Surya T. Tokdar

We propose a Markov chain simulation method to generate simple connected random graphs with a specified degree sequence and level of clustering. The networks generated by our algorithm are random in all other respects and can thus serve as…

Discrete Mathematics · Computer Science 2010-02-09 Shweta Bansal , Shashank Khandelwal , Lauren Ancel Meyers

We consider the task of few shot link prediction on graphs. The goal is to learn from a distribution over graphs so that a model is able to quickly infer missing edges in a new graph after a small amount of training. We show that current…

Machine Learning · Computer Science 2020-03-03 Avishek Joey Bose , Ankit Jain , Piero Molino , William L. Hamilton

This paper studies the problem of parameter learning in probabilistic graphical models having latent variables, where the standard approach is the expectation maximization algorithm alternating expectation (E) and maximization (M) steps.…

Machine Learning · Computer Science 2017-02-15 Hyeryung Jang , Hyungwon Choi , Yung Yi , Jinwoo Shin

The recent advance of edge computing technology enables significant sensing performance improvement of Internet of Things (IoT) networks. In particular, an edge server (ES) is responsible for gathering sensing data from distributed sensing…

Signal Processing · Electrical Eng. & Systems 2025-04-17 Huawei Hou , Suzhi Bi , Xian Li , Shuoyao Wang , Liping Qian , Zhi Quan

The particle Gibbs sampler is a Markov chain Monte Carlo (MCMC) algorithm to sample from the full posterior distribution of a state-space model. It does so by executing Gibbs sampling steps on an extended target distribution defined on the…

Computation · Statistics 2015-07-29 Nicolas Chopin , Sumeetpal S. Singh

Graph convolutional networks (GCNs) have been employed as a kind of significant tool on many graph-based applications recently. Inspired by convolutional neural networks (CNNs), GCNs generate the embeddings of nodes by aggregating the…

Machine Learning · Computer Science 2020-11-20 Tao Huang , Yihan Zhang , Jiajing Wu , Junyuan Fang , Zibin Zheng

Traditionally, graph neural networks have been trained using a single observed graph. However, the observed graph represents only one possible realization. In many applications, the graph may encounter uncertainties, such as having…

Machine Learning · Computer Science 2024-10-10 See Hian Lee , Feng Ji , Kelin Xia , Wee Peng Tay

Comparative analysis between a network and a random graph model can uncover network properties that significantly deviate from those in random networks. The standard random graph model used for comparison uniformly samples random graphs…

Combinatorics · Mathematics 2025-04-09 Yanna J. Kraakman , Clara Stegehuis

We consider versions of the Metropolis algorithm which avoid the inefficiency of rejections. We first illustrate that a natural Uniform Selection Algorithm might not converge to the correct distribution. We then analyse the use of Markov…

Statistics Theory · Mathematics 2024-04-04 J. S. Rosenthal , A. Dote , K. Dabiri , H. Tamura , S. Chen , A. Sheikholeslami

Dynamic graphs with ordered sequences of events between nodes are prevalent in real-world industrial applications such as e-commerce and social platforms. However, representation learning for dynamic graphs has posed great computational…

Machine Learning · Computer Science 2021-12-16 Xinshi Chen , Yan Zhu , Haowen Xu , Mengyang Liu , Liang Xiong , Muhan Zhang , Le Song