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Binary classification problems can be naturally modeled as bipartite graphs, where we attempt to classify right nodes based on their left adjacencies. We consider the case of labeled bipartite graphs in which some labels and edges are not…

Combinatorics · Mathematics 2018-11-13 R. W. R. Darling , Mark L. Velednitsky

In the graph clustering problem with a planted solution, the input is a graph on $n$ vertices partitioned into $k$ clusters, and the task is to infer the clusters from graph structure. A standard assumption is that clusters induce…

Data Structures and Algorithms · Computer Science 2025-11-24 Hendrik Fichtenberger , Michael Kapralov , Ekaterina Kochetkova , Silvio Lattanzi , Davide Mazzali , Weronika Wrzos-Kaminska

An edge labeling of a graph distinguishes neighbors by sets (multisets, resp.), if for any two adjacent vertices $u$ and $v$ the sets (multisets, resp.) of labels appearing on edges incident to $u$ and $v$ are different. In an analogous way…

Discrete Mathematics · Computer Science 2018-04-30 Karolina Okrasa , Paweł Rzążewski

This paper investigates the problem of active learning for binary label prediction on a graph. We introduce a simple and label-efficient algorithm called S2 for this task. At each step, S2 selects the vertex to be labeled based on the…

Machine Learning · Computer Science 2015-06-30 Gautam Dasarathy , Robert Nowak , Xiaojin Zhu

Safe artificial intelligence for perception tasks remains a major challenge, partly due to the lack of data with high-quality labels. Annotations themselves are subject to aleatoric and epistemic uncertainty, which is typically ignored…

Machine Learning · Computer Science 2026-02-05 Jonathan Klees , Tobias Riedlinger , Peter Stehr , Bennet Böddecker , Daniel Kondermann , Matthias Rottmann

Algorithmic Gaussianization is a phenomenon that can arise when using randomized sketching or sampling methods to produce smaller representations of large datasets: For certain tasks, these sketched representations have been observed to…

Machine Learning · Computer Science 2023-07-28 Michał Dereziński

A \emph{Stick graph} is an intersection graph of axis-aligned segments such that the left end-points of the horizontal segments and the bottom end-points of the vertical segments lie on a `ground line,' a line with slope $-1$. It is an open…

Computational Geometry · Computer Science 2018-08-31 Felice De Luca , Md Iqbal Hossain , Stephen Kobourov , Anna Lubiw , Debajyoti Mondal

Graph learning plays a central role in many data mining and machine learning tasks, such as manifold learning, data representation and analysis, dimensionality reduction, clustering, and visualization. In this work, we propose a highly…

Computer Vision and Pattern Recognition · Computer Science 2025-12-11 Yongyu Wang

Graph-based representations such as Scene Graphs enable localization in structured indoor environments by matching a locally observed graph, constructed from sensor data, to a prior map. This process is particularly challenging in…

Pseudo Labeling is a technique used to improve the performance of semi-supervised Graph Neural Networks (GNNs) by generating additional pseudo-labels based on confident predictions. However, the quality of generated pseudo-labels has been a…

Machine Learning · Computer Science 2023-12-20 Weigang Lu , Ziyu Guan , Wei Zhao , Yaming Yang , Yuanhai Lv , Lining Xing , Baosheng Yu , Dacheng Tao

This paper follows cognitive studies to investigate a graph representation for sketches, where the information of strokes, i.e., parts of a sketch, are encoded on vertices and information of inter-stroke on edges. The resultant graph…

Computer Vision and Pattern Recognition · Computer Science 2022-04-29 Sheng Cheng , Yi Ren , Yezhou Yang

In this paper we present succinct labeling schemes for supporting connectivity queries under vertex faults. For a given $n$-vertex graph $G$, an $f$-VFT (resp., EFT) connectivity labeling scheme is a distributed data structure that assigns…

Data Structures and Algorithms · Computer Science 2022-08-23 Merav Parter , Asaf Petruschka

For random systems subject to a constraint, the microcanonical ensemble requires the constraint to be met by every realisation ("hard constraint"), while the canonical ensemble requires the constraint to be met only on average ("soft…

Probability · Mathematics 2021-12-08 Pierfrancesco Dionigi , Diego Garlaschelli , Frank den Hollander , Michel Mandjes

Network embedding has attracted an increasing attention over the past few years. As an effective approach to solve graph mining problems, network embedding aims to learn a low-dimensional feature vector representation for each node of a…

Social and Information Networks · Computer Science 2020-08-10 Xiao Shen , Fu-Lai Chung

Vertex classification -- the problem of identifying the class labels of nodes in a graph -- has applicability in a wide variety of domains. Examples include classifying subject areas of papers in citation networks or roles of machines in a…

Social and Information Networks · Computer Science 2023-08-11 Benjamin A. Miller , Kevin Chan , Tina Eliassi-Rad

Attributes act as intermediate representations that enable parameter sharing between classes, a must when training data is scarce. We propose to view attribute-based image classification as a label-embedding problem: each class is embedded…

Computer Vision and Pattern Recognition · Computer Science 2016-10-05 Zeynep Akata , Florent Perronnin , Zaid Harchaoui , Cordelia Schmid

An identifying code of a graph is a dominating set which uniquely determines all the vertices by their neighborhood within the code. Whereas graphs with large minimum degree have small domination number, this is not the case for the…

Combinatorics · Mathematics 2017-01-02 Florent Foucaud , Guillem Perarnau , Oriol Serra

We present succinct labeling schemes for answering connectivity queries in graphs subject to a specified number of vertex failures. An $f$-vertex/edge fault tolerant ($f$-V/EFT) connectivity labeling is a scheme that produces succinct…

Data Structures and Algorithms · Computer Science 2023-11-17 Merav Parter , Asaf Petruschka , Seth Pettie

Node embedding is the task of extracting informative and descriptive features over the nodes of a graph. The importance of node embeddings for graph analytics, as well as learning tasks such as node classification, link prediction and…

Machine Learning · Computer Science 2019-06-17 Dimitris Berberidis , Georgios B. Giannakis

This paper presents a novel approach for deep visualization via a generative network, offering an improvement over existing methods. Our model simplifies the architecture by reducing the number of networks used, requiring only a generator…

Computer Vision and Pattern Recognition · Computer Science 2024-09-23 Athanasios Karagounis