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We use exponential start time clustering to design faster and more work-efficient parallel graph algorithms involving distances. Previous algorithms usually rely on graph decomposition routines with strict restrictions on the diameters of…

Data Structures and Algorithms · Computer Science 2015-06-25 Gary L. Miller , Richard Peng , Adrian Vladu , Shen Chen Xu

Multi-label classification (MLC) refers to the problem of tagging a given instance with a set of relevant labels. Most existing MLC methods are based on the assumption that the correlation of two labels in each label pair is symmetric,…

Machine Learning · Computer Science 2024-10-04 Xingyu Zhao , Yuexuan An , Lei Qi , Xin Geng

Graph labeling problems have been widely studied in the last decades and have a vast area of application. In this work, we study the recently introduced S-labeling problem, in which the nodes get labeled using labels from 1 to |V | and for…

Optimization and Control · Mathematics 2019-09-12 Markus Sinnl

Label smoothing is a widely studied regularization technique in machine learning. However, its potential for node classification in graph-structured data, spanning homophilic to heterophilic graphs, remains largely unexplored. We introduce…

Machine Learning · Computer Science 2026-02-02 Jaeseung Heo , Moonjeong Park , Dongwoo Kim

We consider problems of the following type: given a graph $G$, how many edges are needed in the worst case for a sparse subgraph $H$ that approximately preserves distances between a given set of node pairs $P$? Examples include pairwise…

Data Structures and Algorithms · Computer Science 2021-05-10 Greg Bodwin

Hash coding has been widely used in approximate nearest neighbor search for large-scale image retrieval. Given semantic annotations such as class labels and pairwise similarities of the training data, hashing methods can learn and generate…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Qin Zou , Zheng Zhang , Ling Cao , Long Chen , Song Wang

The \emph{$f$-fault-tolerant connectivity labeling} ($f$-FTC labeling) is a scheme of assigning each vertex and edge with a small-size label such that one can determine the connectivity of two vertices $s$ and $t$ under the presence of at…

Data Structures and Algorithms · Computer Science 2023-11-17 Taisuke Izumi , Yuval Emek , Tadashi Wadayama , Toshimitsu Masuzawa

We propose a new exact method for shortest-path distance queries on large-scale networks. Our method precomputes distance labels for vertices by performing a breadth-first search from every vertex. Seemingly too obvious and too inefficient…

Data Structures and Algorithms · Computer Science 2013-04-18 Takuya Akiba , Yoichi Iwata , Yuichi Yoshida

The number of nodes of a network, called its size, and the largest distance between nodes of a network, called its diameter, are among the most important network parameters. Knowing the size and/or diameter is a prerequisite of many…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-12 Barun Gorain , Andrzej Pelc

The diameter of a graph is one if its most important parameters, being used in many real-word applications. In particular, the diameter dictates how fast information can spread throughout data and communication networks. Thus, it is a…

Data Structures and Algorithms · Computer Science 2019-02-21 Keerti Choudhary , Omer Gold

Distance-based classification is frequently used in transductive few-shot learning (FSL). However, due to the high-dimensionality of image representations, FSL classifiers are prone to suffer from the hubness problem, where a few points…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Daniel J. Trosten , Rwiddhi Chakraborty , Sigurd Løkse , Kristoffer Knutsen Wickstrøm , Robert Jenssen , Michael C. Kampffmeyer

Node classification on graphs is an important research problem with many applications. Real-world graph data sets may not be balanced and accurate as assumed by most existing works. A challenging setting is positive-unlabeled (PU) node…

Machine Learning · Computer Science 2023-10-23 Hansi Yang , Yongqi Zhang , Quanming Yao , James Kwok

We consider the problem of computing routing schemes in the $\mathsf{HYBRID}$ model of distributed computing where nodes have access to two fundamentally different communication modes. In this problem nodes have to compute small labels and…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-14 Sam Coy , Artur Czumaj , Christian Scheideler , Philipp Schneider , Julian Werthmann

This paper presents efficient distributed algorithms for a number of fundamental problems in the area of graph sparsification: We provide the first deterministic distributed algorithm that computes an ultra-sparse spanner in…

Data Structures and Algorithms · Computer Science 2022-09-26 Marcel Bezdrighin , Michael Elkin , Mohsen Ghaffari , Christoph Grunau , Bernhard Haeupler , Saeed Ilchi , Václav Rozhoň

Given a small set of labeled data and a large set of unlabeled data, semi-supervised learning (SSL) attempts to leverage the location of the unlabeled datapoints in order to create a better classifier than could be obtained from supervised…

Machine Learning · Computer Science 2022-05-25 Michael C. Burkhart , Kyle Shan

Minimum Label Cut (or Hedge Connectivity) problem is defined as follows: given an undirected graph $G=(V, E)$ with $n$ vertices and $m$ edges, in which, each edge is labeled (with one or multiple labels) from a label set $L=\{\ell_1,\ell_2,…

Data Structures and Algorithms · Computer Science 2019-08-21 Rupei Xu , András Faragó

Do higher-order network structures aid graph semi-supervised learning? Given a graph and a few labeled vertices, labeling the remaining vertices is a high-impact problem with applications in several tasks, such as recommender systems, fraud…

Social and Information Networks · Computer Science 2020-02-20 Dhivya Eswaran , Srijan Kumar , Christos Faloutsos

We present label gradient alignment, a novel algorithm for semi-supervised learning which imputes labels for the unlabeled data and trains on the imputed labels. We define a semantically meaningful distance metric on the input space by…

Machine Learning · Computer Science 2019-02-07 Jacob Jackson , John Schulman

Hashing method maps similar high-dimensional data to binary hashcodes with smaller hamming distance, and it has received broad attention due to its low storage cost and fast retrieval speed. Pairwise similarity is easily obtained and widely…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Shifeng Zhang , Jianmin Li , Bo Zhang

Crop field boundaries aid in mapping crop types, predicting yields, and delivering field-scale analytics to farmers. Recent years have seen the successful application of deep learning to delineating field boundaries in industrial…

Computer Vision and Pattern Recognition · Computer Science 2022-01-14 Sherrie Wang , Francois Waldner , David B. Lobell