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We consider the problem of offline, pool-based active semi-supervised learning on graphs. This problem is important when the labeled data is scarce and expensive whereas unlabeled data is easily available. The data points are represented by…

Machine Learning · Computer Science 2014-05-20 Akshay Gadde , Aamir Anis , Antonio Ortega

A distance labeling scheme labels the $n$ nodes of a graph with binary strings such that, given the labels of any two nodes, one can determine the distance in the graph between the two nodes by looking only at the labels. A $D$-preserving…

Data Structures and Algorithms · Computer Science 2016-09-09 Stephen Alstrup , Søren Dahlgaard , Mathias Bæk Tejs Knudsen , Ely Porat

An ancestry labeling scheme assigns labels (bit strings) to the nodes of rooted trees such that ancestry queries between any two nodes in a tree can be answered merely by looking at their corresponding labels. The quality of an ancestry…

Data Structures and Algorithms · Computer Science 2009-09-16 Pierre Fraigniaud , Amos Korman

Markov Networks are widely used through out computer vision and machine learning. An important subclass are the Associative Markov Networks which are used in a wide variety of applications. For these networks a good approximate minimum cost…

Artificial Intelligence · Computer Science 2012-03-19 Chris Russell , L'ubor Ladicky , Pushmeet Kohli , Philip H. S. Torr

Graph labeling is a technique that assigns unique labels or weights to the vertices or edges of a graph, often used to analyze and solve various graph-related problems. There are few methods with certain limitations conducted by researchers…

Discrete Mathematics · Computer Science 2024-03-28 Arafat Islam , Md. Imtiaz Habib

The problem of Distance Edge Labeling is a variant of Distance Vertex Labeling (also known as $L_{2,1}$ labeling) that has been studied for more than twenty years and has many applications, such as frequency assignment. The Distance Edge…

Discrete Mathematics · Computer Science 2022-03-17 Dušan Knop , Tomáš Masařík

An imprimitive symmetric indecomposable association scheme of rank 5 is said to be Higmanian. A divisible design graph is a graph whose adjacency matrix is an incidence matrix of a symmetric divisible design. We establish conditions which…

Combinatorics · Mathematics 2026-01-27 Grigory Ryabov

Graphs provide a natural way to represent data by encoding information about objects and the relationships between them. With the ever-increasing amount of data collected and generated, locating specific patterns of relationships between…

Data Structures and Algorithms · Computer Science 2026-04-28 Tatyana Benko , Rebecca Jones , Lucas Tate

Approximate nearest neighbor search (ANNS) constitutes an important operation in a multitude of applications, including recommendation systems, information retrieval, and pattern recognition. In the past decade, graph-based ANNS algorithms…

Information Retrieval · Computer Science 2021-05-11 Mengzhao Wang , Xiaoliang Xu , Qiang Yue , Yuxiang Wang

A proper labelling of a graph $G$ is a pair $({\pi},c_{\pi})$ in which ${\pi}$ is an assignment of numeric labels to some elements of $G$, and $c_{\pi}$ is a colouring induced by ${\pi}$ through some mathematical function over the set of…

Discrete Mathematics · Computer Science 2020-07-06 C. A. Weffort-Santos , R. C. S. Schouery

Label spreading is a general technique for semi-supervised learning with point cloud or network data, which can be interpreted as a diffusion of labels on a graph. While there are many variants of label spreading, nearly all of them are…

Machine Learning · Computer Science 2020-06-09 Francesco Tudisco , Austin R. Benson , Konstantin Prokopchik

We present a labeling scheme that assigns labels of size $\tilde O(1)$ to the vertices of a directed weighted planar graph $G$, such that for any fixed $\varepsilon>0$ from the labels of any three vertices $s$, $t$ and $f$ one can determine…

Data Structures and Algorithms · Computer Science 2025-03-25 Itai Boneh , Shiri Chechik , Shay Golan , Shay Mozes , Oren Weimann

Graph alignment in two correlated random graphs refers to the task of identifying the correspondence between vertex sets of the graphs. Recent results have characterized the exact information-theoretic threshold for graph alignment in…

Data Structures and Algorithms · Computer Science 2019-09-04 Osman Emre Dai , Daniel Cullina , Negar Kiyavash , Matthias Grossglauser

In this paper we propose a domain adaptation algorithm designed for graph domains. Given a source graph with many labeled nodes and a target graph with few or no labeled nodes, we aim to estimate the target labels by making use of the…

Machine Learning · Computer Science 2021-12-02 Yusuf Yigit Pilavci , Eylem Tugce Guneyi , Cemil Cengiz , Elif Vural

The high cost of data labeling often results in node label shortage in real applications. To improve node classification accuracy, graph-based semi-supervised learning leverages the ample unlabeled nodes to train together with the scarce…

Machine Learning · Computer Science 2023-03-14 Jiaren Xiao , Quanyu Dai , Xiaochen Xie , James Lam , Ka-Wai Kwok

In this paper, we propose a novel graph-based approach for semi-supervised learning problems, which considers an adaptive adjacency of the examples throughout the unsupervised portion of the training. Adjacency of the examples is inferred…

Machine Learning · Computer Science 2020-08-06 Ozsel Kilinc , Ismail Uysal

Random graph null models have found widespread application in diverse research communities analyzing network datasets, including social, information, and economic networks, as well as food webs, protein-protein interactions, and neuronal…

Methodology · Statistics 2017-10-12 Bailey K. Fosdick , Daniel B. Larremore , Joel Nishimura , Johan Ugander

Large data applications rely on storing data in massive, sparse graphs with millions to trillions of nodes. Graph-based methods, such as node prediction, aim for computational efficiency regardless of graph size. Techniques like localized…

Data Structures and Algorithms · Computer Science 2025-07-08 Yushen Huang , Ertai Luo , Reza Babenezhad , Yifan Sun

This paper extends the recently introduced assignment flow approach for supervised image labeling to unsupervised scenarios where no labels are given. The resulting self-assignment flow takes a pairwise data affinity matrix as input data…

Machine Learning · Computer Science 2020-03-25 Matthias Zisler , Artjom Zern , Stefania Petra , Christoph Schnörr

Recently, graph (network) data is an emerging research area in artificial intelligence, machine learning and statistics. In this work, we are interested in whether node's labels (people's responses) are affected by their neighbor's features…

Methodology · Statistics 2022-10-12 Haixiang Zhang , Yingjun Deng , Alan J. X. Guo , Qing-Hu Hou , Ou Wu