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A minimum dominating set for a digraph (directed graph) is a smallest set of vertices such that each vertex either belongs to this set or has at least one parent vertex in this set. We solve this hard combinatorial optimization problem…

Physics and Society · Physics 2016-02-17 Yusupjan Habibulla , Jin-Hua Zhao , Hai-Jun Zhou

We consider a variant of the clustering problem for a complete weighted graph. The aim is to partition the nodes into clusters maximizing the sum of the edge weights within the clusters. This problem is known as the clique partitioning…

Social and Information Networks · Computer Science 2023-09-15 Alexander Belyi , Stanislav Sobolevsky , Alexander Kurbatski , Carlo Ratti

Recent advances in interactive segmentation (IS) allow speeding up and simplifying image editing and labeling greatly. The majority of modern IS approaches accept user input in the form of clicks. However, using clicks may require too many…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Danil Galeev , Polina Popenova , Anna Vorontsova , Anton Konushin

Clustering is a well-known and important problem with numerous applications. The graph-based model is one of the typical cluster models. In the graph model, clusters are generally defined as cliques. However, such an approach might be too…

Data Structures and Algorithms · Computer Science 2017-06-30 Ivan Bliznets , Nikolai Karpov

With the recent advances in complex networks theory, graph-based techniques for image segmentation has attracted great attention recently. In order to segment the image into meaningful connected components, this paper proposes an image…

Computer Vision and Pattern Recognition · Computer Science 2019-07-12 Youssef Mourchid , Mohammed El Hassouni , Hocine Cherifi

Semi-supervised clustering is a basic problem in various applications. Most existing methods require knowledge of the ideal cluster number, which is often difficult to obtain in practice. Besides, satisfying the must-link constraints is…

Optimization and Control · Mathematics 2025-03-07 Wei Liu , Xin Liu , Michael K. Ng , Zaikun Zhang

Recently, several image segmentation methods that welcome and leverage different types of user assistance have been developed. In these methods, the user inputs can be provided by drawing bounding boxes over image objects, drawing scribbles…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Huseyin Afser

Clique clustering is the problem of partitioning the vertices of a graph into disjoint clusters, where each cluster forms a clique in the graph, while optimizing some objective function. In online clustering, the input graph is given one…

Data Structures and Algorithms · Computer Science 2016-10-18 Marek Chrobak , Christoph Durr , Aleksander Fabijan , Bengt Nilsson

Superpixel segmentation aims at dividing the input image into some representative regions containing pixels with similar and consistent intrinsic properties, without any prior knowledge about the shape and size of each superpixel. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-12-14 Hua Li , Yuheng Jia , Runmin Cong , Wenhui Wu , Sam Kwong , Chuanbo Chen

Manipulating images of complex scenes to reconstruct, insert and/or remove specific object instances is a challenging task. Complex scenes contain multiple semantics and objects, which are frequently cluttered or ambiguous, thus hampering…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Pierfrancesco Ardino , Yahui Liu , Elisa Ricci , Bruno Lepri , Marco De Nadai

Image segmentation plays a crucial role in extracting important objects of interest from images, enabling various applications. While existing methods have shown success in segmenting clean images, they often struggle to produce accurate…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Han Zhang , Daoping Zhang , Lok Ming Lui

Visual perception plays a pivotal role in enabling autonomous behavior, offering a cost-effective and efficient alternative to complex multi-sensor systems. However, robust segmentation remains a challenge in complex scenarios. To address…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Hewen Xiao , Jie Mei , Guangfu Ma , Weiren Wu

This paper addresses the automatic image segmentation problem in a region merging style. With an initially over-segmented image, in which the many regions (or super-pixels) with homogeneous color are detected, image segmentation is…

Computer Vision and Pattern Recognition · Computer Science 2015-05-20 Bo Peng , Lei Zhang , David Zhang

Graph clustering is a central topic in unsupervised learning with a multitude of practical applications. In recent years, multi-view graph clustering has gained a lot of attention for its applicability to real-world instances where one has…

Machine Learning · Computer Science 2024-06-10 Vincent Cohen-Addad , Tommaso d'Orsi , Silvio Lattanzi , Rajai Nasser

In this paper, we cast the scribble-based interactive image segmentation as a semi-supervised learning problem. Our novel approach alleviates the need to solve an expensive generalized eigenvector problem by approximating the eigenvectors…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Ahmed Taha , Marwan Torki

In computer vision, image segmentation is always selected as a major research topic by researchers. Due to its vital rule in image processing, there always arises the need of a better image segmentation method. Clustering is an unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2015-06-08 Dibya Jyoti Bora , Anil Kumar Gupta

The problem of image segmentation is known to become particularly challenging in the case of partial occlusion of the object(s) of interest, background clutter, and the presence of strong noise. To overcome this problem, the present paper…

Computer Vision and Pattern Recognition · Computer Science 2010-06-15 Robert Sheng Xu , Oleg Michailovich , Magdy Salama

We propose a simple, powerful, and flexible machine learning framework for (i) reducing the search space of computationally difficult enumeration variants of subset problems and (ii) augmenting existing state-of-the-art solvers with…

Machine Learning · Computer Science 2019-02-25 Juho Lauri , Sourav Dutta

The semantic image segmentation task consists of classifying each pixel of an image into an instance, where each instance corresponds to a class. This task is a part of the concept of scene understanding or better explaining the global…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Saeid Asgari Taghanaki , Kumar Abhishek , Joseph Paul Cohen , Julien Cohen-Adad , Ghassan Hamarneh

A primary challenge in metagenomics is reconstructing individual microbial genomes from the mixture of short fragments created by sequencing. Recent work leverages the sparsity of the assembly graph to find $r$-dominating sets which enable…

Data Structures and Algorithms · Computer Science 2023-01-24 Yosuke Mizutani , Annie Staker , Blair D. Sullivan