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Hypergraphs are a useful abstraction for modeling multiway relationships in data, and hypergraph clustering is the task of detecting groups of closely related nodes in such data. Graph clustering has been studied extensively, and there are…

Data Structures and Algorithms · Computer Science 2020-07-02 Nate Veldt , Austin R. Benson , Jon Kleinberg

A subgraph $H$ of a graph $G$ is isometric if the distances between vertices in $H$ coincide with the distances between the corresponding vertices in $G$. We show that for any integer $n\ge 1$, there is a graph on $3^{n+O(\log^2 n)}$…

Combinatorics · Mathematics 2021-06-24 Louis Esperet , Cyril Gavoille , Carla Groenland

Graph Neural Networks (GNNs) have been widely applied in the semi-supervised node classification task, where a key point lies in how to sufficiently leverage the limited but valuable label information. Most of the classical GNNs solely use…

Machine Learning · Computer Science 2022-12-26 Le Yu , Leilei Sun , Bowen Du , Tongyu Zhu , Weifeng Lv

Deep hashing has shown to be a complexity-efficient solution for the Approximate Nearest Neighbor search problem in high dimensional space. Many methods usually build the loss function from pairwise or triplet data points to capture the…

Machine Learning · Computer Science 2023-06-21 Yuan Chen , Stéphane Marchand-Maillet

Long-tailed learning has attracted much attention recently, with the goal of improving generalisation for tail classes. Most existing works use supervised learning without considering the prevailing noise in the training dataset. To move…

Machine Learning · Computer Science 2021-08-27 Tong Wei , Jiang-Xin Shi , Wei-Wei Tu , Yu-Feng Li

The shortest-path distance is a fundamental concept in graph analytics and has been extensively studied in the literature. In many real-world applications, quality constraints are naturally associated with edges in the graphs and finding…

Databases · Computer Science 2022-11-17 You Peng , Zhuo Ma , Wenjie Zhang , Xuemin Lin , Ying Zhang , Xiaoshuang Chen

Despite the remarkable performance of supervised medical image segmentation models, relying on a large amount of labeled data is impractical in real-world situations. Semi-supervised learning approaches aim to alleviate this challenge using…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Yunyao Lu , Yihang Wu , Ahmad Chaddad , Tareef Daqqaq , Reem Kateb

Finding densely connected groups of nodes in networks is a widely used tool for analysis in graph mining. A popular choice for finding such groups is to find subgraphs with a high average degree. While useful, interpreting such subgraphs…

Social and Information Networks · Computer Science 2023-09-08 Iiro Kumpulainen , Nikolaj Tatti

A vertex labeling of a hypergraph is sum distinguishing if it uses positive integers and the sums of labels taken over the distinct hyperedges are distinct. Let s(H) be the smallest integer N such that there is a sum-distinguishing labeling…

Combinatorics · Mathematics 2021-02-05 Maria Axenovich , Yair Caro , Raphael Yuster

We introduce a communication model called universal SMP, in which Alice and Bob receive a function $f$ belonging to a family $\mathcal{F}$, and inputs $x$ and $y$. Alice and Bob use shared randomness to send a message to a third party who…

Computational Complexity · Computer Science 2019-11-12 Nathaniel Harms

Hashing method maps similar data to binary hashcodes with smaller hamming distance, and it has received a broad attention due to its low storage cost and fast retrieval speed. However, the existing limitations make the present algorithms…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Shifeng Zhang , Jianmin Li , Jinma Guo , Bo Zhang

In multi-label learning, each sample is associated with several labels. Existing works indicate that exploring correlations between labels improve the prediction performance. However, embedding the label correlations into the training…

Machine Learning · Computer Science 2011-03-04 Tianyi Zhou , Dacheng Tao

Network traffic classification, which has numerous applications from security to billing and network provisioning, has become a cornerstone of today's computer networks. Previous studies have developed traffic classification techniques…

Networking and Internet Architecture · Computer Science 2020-05-19 Shahbaz Rezaei , Xin Liu

The problem of sparsifying a graph or a hypergraph while approximately preserving its cut structure has been extensively studied and has many applications. In a seminal work, Bencz\'ur and Karger (1996) showed that given any $n$-vertex…

Data Structures and Algorithms · Computer Science 2021-06-22 Yu Chen , Sanjeev Khanna , Ansh Nagda

Multi-label image classification allows predicting a set of labels from a given image. Unlike multiclass classification, where only one label per image is assigned, such a setup is applicable for a broader range of applications. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-12-21 Kirill Prokofiev , Vladislav Sovrasov

Balanced partitioning is often a crucial first step in solving large-scale graph optimization problems, e.g., in some cases, a big graph can be chopped into pieces that fit on one machine to be processed independently before stitching the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-10 Kevin Aydin , MohammadHossein Bateni , Vahab Mirrokni

A temporal graph can be represented by a graph with an edge labelling, such that an edge is present in the network if and only if the edge is assigned the corresponding time label. A journey is a labelled path in a temporal graph such that…

Computational Complexity · Computer Science 2023-12-13 Esteban Christiann , Eric Sanlaville , Jason Schoeters

Simultaneous localization and mapping (SLAM) plays a vital role in mapping unknown spaces and aiding autonomous navigation. Virtually all state-of-the-art solutions today for 2D SLAM are designed for dense and accurate sensors such as laser…

Robotics · Computer Science 2023-12-06 Hanzhi Zhou , Zichao Hu , Sihang Liu , Samira Khan

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

Noisy labels, which are common in real-world datasets, can significantly impair the training of deep learning models. However, recent adversarial noise-combating methods overlook the long-tailed distribution of real data, which can…

Machine Learning · Computer Science 2024-08-09 Mengting Li , Chuang Zhu