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We devise a unified framework for the design of canonization algorithms. Using hereditarily finite sets, we define a general notion of combinatorial objects that includes graphs, hypergraphs, relational structures, codes, permutation…

Data Structures and Algorithms · Computer Science 2019-04-09 Pascal Schweitzer , Daniel Wiebking

Although we have seen a proliferation of algorithms for recommending visualizations, these algorithms are rarely compared with one another, making it difficult to ascertain which algorithm is best for a given visual analysis scenario.…

Human-Computer Interaction · Computer Science 2021-09-08 Zehua Zeng , Phoebe Moh , Fan Du , Jane Hoffswell , Tak Yeon Lee , Sana Malik , Eunyee Koh , Leilani Battle

This paper develops two heuristic algorithms to solve graph isomorphism, using free energy encoding. The first algorithm uses four types of encoding refinement techniques such that every graph can be distinguished by a canonical number…

Data Structures and Algorithms · Computer Science 2016-09-15 Cewei Cui , Zhe Dang

We present a graph processing benchmark suite with the goal of helping to standardize graph processing evaluations. Fewer differences between graph processing evaluations will make it easier to compare different research efforts and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-18 Scott Beamer , Krste Asanović , David Patterson

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

One exact and two heuristic algorithms for determining the generators, orbits and order of the graph automorphism group are presented. A basic tool of these algorithms is the well-known individualization and refinement procedure. A search…

Data Structures and Algorithms · Computer Science 2016-07-27 Stoicho D. Stoichev

The field of software verification has produced a wide array of algorithmic techniques that can prove a variety of properties of a given program. It has been demonstrated that the performance of these techniques can vary up to 4 orders of…

Software Engineering · Computer Science 2023-09-07 Will Leeson , Matthew B Dwyer

Graphs are a natural representation for systems based on relations between connected entities. Combinatorial optimization problems, which arise when considering an objective function related to a process of interest on discrete structures,…

Machine Learning · Computer Science 2024-08-21 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

We propose a new framework for the recognition of online handwritten graphics. Three main features of the framework are its ability to treat symbol and structural level information in an integrated way, its flexibility with respect to…

Computer Vision and Pattern Recognition · Computer Science 2017-09-20 Frank Julca-Aguilar , Harold Mouchère , Christian Viard-Gaudin , Nina S. T. Hirata

The aim of the paper is to examine the computational complexity and algorithmics of enumeration, the task to output all solutions of a given problem, from the point of view of parameterized complexity. First we define formally different…

Computational Complexity · Computer Science 2013-06-11 Nadia Creignou , Arne Meier , Julian-Steffen Müller , Johannes Schmidt , Heribert Vollmer

Link prediction is a fundamental task in graph learning, inherently shaped by the topology of the graph. While traditional heuristics are grounded in graph topology, they encounter challenges in generalizing across diverse graphs. Recent…

Machine Learning · Computer Science 2024-06-18 Juzheng Zhang , Lanning Wei , Zhen Xu , Quanming Yao

The expressivity of Graph Neural Networks (GNNs) has been studied broadly in recent years to reveal the design principles for more powerful GNNs. Graph canonization is known as a typical approach to distinguish non-isomorphic graphs, yet…

Machine Learning · Computer Science 2024-02-12 Zehao Dong , Muhan Zhang , Philip R. O. Payne , Michael A Province , Carlos Cruchaga , Tianyu Zhao , Fuhai Li , Yixin Chen

Modern software systems increasingly incorporate self-* behavior to adapt to changes in the environment at runtime. Such adaptations often involve reconfiguring the software architecture of the system. Many systems also need to manage their…

Artificial Intelligence · Computer Science 2014-07-31 Steffen Ziegert

Fair algorithm evaluation is conditioned on the existence of high-quality benchmark datasets that are non-redundant and are representative of typical optimization scenarios. In this paper, we evaluate three heuristics for selecting diverse…

Neural and Evolutionary Computing · Computer Science 2022-04-26 Gjorgjina Cenikj , Ryan Dieter Lang , Andries Petrus Engelbrecht , Carola Doerr , Peter Korošec , Tome Eftimov

In graph modification problems, one is given a graph G and the goal is to apply a minimum number of modification operations (such as edge deletions) to G such that the resulting graph fulfills a certain property. For example, the Cluster…

Data Structures and Algorithms · Computer Science 2016-06-13 Christian Komusiewicz , André Nichterlein , Rolf Niedermeier

Recently, Graph Neural Networks (GNNs) have greatly advanced the task of graph classification. Typically, we first build a unified GNN model with graphs in a given training set and then use this unified model to predict labels of all the…

Machine Learning · Computer Science 2021-12-15 Yiqi Wang , Yao Ma , Wei Jin , Chaozhuo Li , Charu Aggarwal , Jiliang Tang

The increasing availability of graph-structured data motivates the task of optimising over functions defined on the node set of graphs. Traditional graph search algorithms can be applied in this case, but they may be sample-inefficient and…

Machine Learning · Computer Science 2023-10-31 Xingchen Wan , Pierre Osselin , Henry Kenlay , Binxin Ru , Michael A. Osborne , Xiaowen Dong

Heuristic-based methods are among the most popular methods in the process discovery area. This category of methods is composed of two main steps: 1) discovering a dependency graph 2) determining the split/join patterns of the dependency…

Artificial Intelligence · Computer Science 2022-03-22 Maryam Tavakoli-Zaniani , Mohammad Reza Gholamian , S. Alireza Hashemi Golpayegani

In document classification, graph-based models effectively capture document structure, overcoming sequence length limitations and enhancing contextual understanding. However, most existing graph document representations rely on heuristics,…

Computation and Language · Computer Science 2025-08-05 Margarita Bugueño , Gerard de Melo

The current trend in next-generation exascale systems goes towards integrating a wide range of specialized (co-)processors into traditional supercomputers. However, the integration of different specialized devices increases the degree of…

Programming Languages · Computer Science 2016-03-11 Guillermo Vigueras , Manuel Carro , Salvador Tamarit , Julio Mariño
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