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An emerging way to deal with high-dimensional non-euclidean data is to assume that the underlying structure can be captured by a graph. Recently, ideas have begun to emerge related to the analysis of time-varying graph signals. This work…

Machine Learning · Computer Science 2017-05-08 Francesco Grassi , Andreas Loukas , Nathanaël Perraudin , Benjamin Ricaud

This paper presents a new Matlab toolbox, aimed at facilitating the use of polynomial optimization for stability analysis of nonlinear systems. In the past decade several decisive contributions made it possible to recast this type of…

Optimization and Control · Mathematics 2024-04-03 Stéphane Drobot , Matteo Tacchi , Carmen Cardozo , Colin N. Jones

In the past decade, significant progress has been made to generalize classical tools from Fourier analysis to analyze and process signals defined on networks. In this paper, we propose a new framework for constructing Gabor-type frames for…

Functional Analysis · Mathematics 2021-02-16 Mahya Ghandehari , Dominique Guillot , Kris Hollingsworth

In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, but solvable in linear time on this type of graphs. The…

Data Structures and Algorithms · Computer Science 2012-12-18 Mugurel Ionut Andreica

This paper introduces SpaPool, a novel pooling method that combines the strengths of both dense and sparse techniques for a graph neural network. SpaPool groups vertices into an adaptive number of clusters, leveraging the benefits of both…

Machine Learning · Statistics 2025-10-15 Rodrigue Govan , Romane Scherrer , Philippe Fournier-Viger , Nazha Selmaoui-Folcher

We introduce the ParClusterers Benchmark Suite (PCBS) -- a collection of highly scalable parallel graph clustering algorithms and benchmarking tools that streamline comparing different graph clustering algorithms and implementations. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 Shangdi Yu , Jessica Shi , Jamison Meindl , David Eisenstat , Xiaoen Ju , Sasan Tavakkol , Laxman Dhulipala , Jakub Łącki , Vahab Mirrokni , Julian Shun

There is currently an increasing demand for cryptoasset analysis tools among cryptoasset service providers, the financial industry in general, as well as across academic fields. At the moment, one can choose between commercial services or…

Cryptography and Security · Computer Science 2021-03-01 Bernhard Haslhofer , Rainer Stütz , Matteo Romiti , Ross King

Graph filters are a staple tool for processing signals over graphs in a multitude of downstream tasks. However, they are commonly designed for graphs with a fixed number of nodes, despite real-world networks typically grow over time. This…

Machine Learning · Computer Science 2024-09-12 Bishwadeep Das , Elvin Isufi

The technique of guessing can be very fruitful when dealing with sequences which arise in practice. This holds true especially when guessing is performed algorithmically and efficiently. One highly useful tool for this purpose is the…

Combinatorics · Mathematics 2022-09-08 Sergey Yurkevich

Recently there has been increasing interest in developing and deploying deep graph learning algorithms for many tasks, such as fraud detection and recommender systems. Albeit, there is a limited number of publicly available graph-structured…

Machine Learning · Computer Science 2023-10-06 Sajad Darabi , Piotr Bigaj , Dawid Majchrowski , Artur Kasymov , Pawel Morkisz , Alex Fit-Florea

Graph representations of programs are commonly a central element of machine learning for code research. We introduce an open source Python library python_graphs that applies static analysis to construct graph representations of Python…

Machine Learning · Computer Science 2022-08-17 David Bieber , Kensen Shi , Petros Maniatis , Charles Sutton , Vincent Hellendoorn , Daniel Johnson , Daniel Tarlow

Graphs are widespread data structures used to model a wide variety of problems. The sheer amount of data to be processed has prompted the creation of a myriad of systems that help us cope with massive scale graphs. The pressure to deliver…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-09 Luis M. Vaquero , Felix Cuadrado , Matei Ripeanu

Graph Neural Networks (GNNs) are widely used in many modern applications, necessitating explanations for their decisions. However, the complexity of GNNs makes it difficult to explain predictions. Even though several methods have been…

Machine Learning · Computer Science 2022-11-04 Tien-Cuong Bui , Van-Duc Le , Wen-Syan Li , Sang Kyun Cha

A graph database is a database where the data structures for the schema and/or instances are modeled as a (labeled)(directed) graph or generalizations of it, and where querying is expressed by graph-oriented operations and type…

Databases · Computer Science 2019-07-23 Renzo Angles , Claudio Gutierrez

Graph pooling is a family of operations which take graphs as input and produce shrinked graphs as output. Modern graph pooling methods are trainable and, in general inserted in Graph Neural Networks (GNNs) architectures as graph shrinking…

Machine Learning · Computer Science 2024-12-05 Yizhu Chen

simpcomp is an extension (a so called package) to GAP, the well known system for computational discrete algebra. The package enables the user to compute numerous properties of (abstract) simplicial complexes, provides functions to construct…

Combinatorics · Mathematics 2019-10-24 Felix Effenberger , Jonathan Spreer

In graph signal processing (GSP), prior information on the dependencies in the signal is collected in a graph which is then used when processing or analyzing the signal. Blind source separation (BSS) techniques have been developed and…

Methodology · Statistics 2021-09-21 Jari Miettinen , Eyal Nitzan , Sergiy A. Vorobyov , Esa Ollila

The notion of complex systems is common to many domains, from Biology to Economy, Computer Science, Physics, etc. Often, these systems are made of sets of entities moving in an evolving environment. One of their major characteristics is the…

Mathematical Software · Computer Science 2008-12-18 Yoann Pigné , Antoine Dutot , Frédéric Guinand , Damien Olivier

The adaptive processing of graph data is a long-standing research topic which has been lately consolidated as a theme of major interest in the deep learning community. The snap increase in the amount and breadth of related research has come…

Machine Learning · Computer Science 2020-06-16 Davide Bacciu , Federico Errica , Alessio Micheli , Marco Podda
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