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Numerous approximation algorithms for problems on unit disk graphs have been proposed in the literature, exhibiting a sharp trade-off between running times and approximation ratios. We introduce a variation of the known shifting strategy…

Data Structures and Algorithms · Computer Science 2016-11-08 Guilherme D. da Fonseca , Vinícius G. Pereira de Sá , Celina M. H. de Figueiredo

Data integration tasks such as the creation and extension of knowledge graphs involve the fusion of heterogeneous entities from many sources. Matching and fusion of such entities require to also match and combine their properties…

Databases · Computer Science 2020-10-06 Daniel Ayala , Inma Hernández , David Ruiz , Erhard Rahm

This paper addresses the problem of matching $N$ weighted graphs referring to an identical object or category. More specifically, matching the common node correspondences among graphs. This multi-graph matching problem involves two…

Computer Vision and Pattern Recognition · Computer Science 2016-06-14 Junchi Yan , Minsu Cho , Hongyuan Zha , Xiaokang Yang , Stephen Chu

The Graphical House Allocation problem asks: how can $n$ houses (each with a fixed non-negative value) be assigned to the vertices of an undirected graph $G$, so as to minimize the "aggregate local envy", i.e., the sum of absolute…

Data Structures and Algorithms · Computer Science 2023-10-16 Hadi Hosseini , Andrew McGregor , Rik Sengupta , Rohit Vaish , Vignesh Viswanathan

Computing efficiently a robust measure of similarity or dissimilarity between graphs is a major challenge in Pattern Recognition. The Graph Edit Distance (GED) is a flexible measure of dissimilarity between graphs which arises in…

Data Structures and Algorithms · Computer Science 2015-12-24 Sébastien Bougleux , Luc Brun , Vincenzo Carletti , Pasquale Foggia , Benoit Gaüzère , Mario Vento

Graph representation learning has drawn increasing attention in recent years, especially for learning the low dimensional embedding at both node and graph level for classification and recommendations tasks. To enable learning the…

Machine Learning · Computer Science 2022-01-20 Tiehua Zhang , Yuze Liu , Xin Chen , Xiaowei Huang , Feng Zhu , Xi Zheng

Structured convex optimization on weighted graphs finds numerous applications in machine learning and computer vision. In this work, we propose a novel adaptive preconditioning strategy for proximal algorithms on this problem class. Our…

Optimization and Control · Mathematics 2020-02-28 Zhenzhang Ye , Thomas Möllenhoff , Tao Wu , Daniel Cremers

In this paper, we present an unsupervised approach for frequency sub-band allocation in wireless networks using graph-based learning. We consider a dense deployment of subnetworks in the factory environment with a limited number of…

Networking and Internet Architecture · Computer Science 2024-08-05 Daniel Abode , Ramoni Adeogun , Lou Salaün , Renato Abreu , Thomas Jacobsen , Gilberto Berardinelli

Knowing the location of a protein within the cell is important for understanding its function, role in biological processes, and potential use as a drug target. Much progress has been made in developing computational methods that predict…

Quantitative Methods · Quantitative Biology 2013-08-02 Ramanuja Simha , Hagit Shatkay

Graph machine learning architectures are typically tailored to specific tasks on specific datasets, which hinders their broader applicability. This has led to a new quest in graph machine learning: how to build graph foundation models…

Machine Learning · Computer Science 2025-10-29 Ben Finkelshtein , İsmail İlkan Ceylan , Michael Bronstein , Ron Levie

Motivation: Standard algorithms for pairwise protein sequence alignment make the simplifying assumption that amino acid substitutions at neighboring sites are uncorrelated. This assumption allows implementation of fast algorithms for…

Biomolecules · Quantitative Biology 2014-05-27 Gavin E. Crooks , Richard E. Green , Steven E. Brenner

Link prediction is an important learning task for graph-structured data. In this paper, we propose a novel topological approach to characterize interactions between two nodes. Our topological feature, based on the extended persistent…

Machine Learning · Computer Science 2021-06-15 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Chao Chen

Our work is motivated by the challenges presented in preparing arrays of atoms for use in quantum simulation. The recently-developed process of loading atoms into traps results in approximately half of the traps being filled. To consolidate…

Computational Complexity · Computer Science 2025-04-09 Alexandre Cooper , Stephanie Maaz , Amer E. Mouawad , Naomi Nishimura

A localized method to distribute paths on random graphs is devised, aimed at finding the shortest paths between given source/destination pairs while avoiding path overlaps at nodes. We propose a method based on message-passing techniques to…

Disordered Systems and Neural Networks · Physics 2014-10-17 Caterina De Bacco , Silvio Franz , David Saad , Chi Ho Yeung

Data integration is essential across diverse domains, from historical records to biomedical research, facilitating joint statistical inference. A crucial initial step in this process involves merging multiple data sources based on matching…

Methodology · Statistics 2025-12-15 Trisha Dawn , Jesús Arroyo

Prediction of ligand binding sites of proteins is a fundamental and important task for understanding the function of proteins and screening potential drugs. Most existing methods require experimentally determined protein holo-structures as…

Quantitative Methods · Quantitative Biology 2023-12-07 Shuo Zhang , Lei Xie

In reliable decision-making systems based on machine learning, models have to be robust to distributional shifts or provide the uncertainty of their predictions. In node-level problems of graph learning, distributional shifts can be…

Machine Learning · Computer Science 2023-11-02 Gleb Bazhenov , Denis Kuznedelev , Andrey Malinin , Artem Babenko , Liudmila Prokhorenkova

Object pose estimation enables robots to understand and interact with their environments. Training with synthetic data is necessary in order to adapt to novel situations. Unfortunately, pose estimation under domain shift, i.e., training on…

Computer Vision and Pattern Recognition · Computer Science 2020-11-02 Stefan Thalhammer , Markus Leitner , Timothy Patten , Markus Vincze

There has been an increased interest in applying machine learning techniques on relational structured-data based on an observed graph. Often, this graph is not fully representative of the true relationship amongst nodes. In these settings,…

Machine Learning · Statistics 2022-08-05 Florence Regol , Soumyasundar Pal , Jianing Sun , Yingxue Zhang , Yanhui Geng , Mark Coates

Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard