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As Deep Neural Networks (DNNs) are rapidly being adopted within large software systems, software developers are increasingly required to design, train, and deploy such models into the systems they develop. Consequently, testing and…

Software Engineering · Computer Science 2023-01-30 Jinhan Kim , Nargiz Humbatova , Gunel Jahangirova , Paolo Tonella , Shin Yoo

Graphs and networks are common ways of depicting biological information. In biology, many different biological processes are represented by graphs, such as regulatory networks, metabolic pathways and protein--protein interaction networks.…

Applications · Statistics 2010-11-16 Caiyan Li , Hongzhe Li

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

We explore the feasibility of combining Graph Neural Network-based policy architectures with Deep Reinforcement Learning as an approach to problems in systems. This fits particularly well with operations on networks, which naturally take…

Machine Learning · Computer Science 2021-12-02 Oliver Hope , Eiko Yoneki

One of the most important combinatorial optimization problems is graph coloring. There are several variations of this problem involving additional constraints either on vertices or edges. They constitute models for real applications, such…

Data Structures and Algorithms · Computer Science 2016-06-17 Rosiane de Freitas , Bruno Dias , Nelson Maculan , Jayme Szwarcfiter

We consider regenerating codes in distributed storage systems where connections between the nodes are constrained by a graph. In this problem, the failed node downloads the information stored at a subset of vertices of the graph for the…

Information Theory · Computer Science 2025-06-11 Adway Patra , Alexander Barg

We investigate the problem of drawing graphs in 2D and 3D such that their edges (or only their vertices) can be covered by few lines or planes. We insist on straight-line edges and crossing-free drawings. This problem has many connections…

Computational Geometry · Computer Science 2016-09-02 Steven Chaplick , Krzysztof Fleszar , Fabian Lipp , Alexander Ravsky , Oleg Verbitsky , Alexander Wolff

Deep learning models have made significant progress in automatic program repair. However, the black-box nature of these methods has restricted their practical applications. To address this challenge, this paper presents an interpretable…

Software Engineering · Computer Science 2022-06-07 Jianzong Wang , Shijing Si , Zhitao Zhu , Xiaoyang Qu , Zhenhou Hong , Jing Xiao

We introduce regular graph constraints and explore their decidability properties. The motivation for regular graph constraints is 1) type checking of changing types of objects in the presence of linked data structures, 2) shape analysis…

Programming Languages · Computer Science 2007-05-23 Viktor Kuncak , Martin Rinard

We consider the problem of controlling a partially-observed dynamic process on a graph by a limited number of interventions. This problem naturally arises in contexts such as scheduling virus tests to curb an epidemic; targeted marketing in…

Machine Learning · Computer Science 2021-07-12 Eli A. Meirom , Haggai Maron , Shie Mannor , Gal Chechik

The basic principle of graph rewriting is the stepwise replacement of subgraphs inside a host graph. A challenge in such replacement steps is the treatment of the patch graph, consisting of those edges of the host graph that touch the…

Logic in Computer Science · Computer Science 2020-08-20 Roy Overbeek , Jörg Endrullis

Graph learning from data represents a canonical problem that has received substantial attention in the literature. However, insufficient work has been done in incorporating prior structural knowledge onto the learning of underlying…

Machine Learning · Statistics 2019-04-23 Sandeep Kumar , Jiaxi Ying , José Vinícius de M. Cardoso , Daniel Palomar

Positive systems describing networks with inherently non-negative states and inputs arise naturally in routing, logistics, and compartmental modelling. We consider problems modelled as positive linear systems in incidence form with linear…

Optimization and Control · Mathematics 2026-05-28 Roland Schurig , David Ohlin , Anders Rantzer , Emma Tegling , Rolf Findeisen

Subgraph reconfiguration is a family of problems focusing on the reachability of the solution space in which feasible solutions are subgraphs, represented either as sets of vertices or sets of edges, satisfying a prescribed graph structure…

Data Structures and Algorithms · Computer Science 2018-03-19 Tesshu Hanaka , Takehiro Ito , Haruka Mizuta , Benjamin Moore , Naomi Nishimura , Vijay Subramanya , Akira Suzuki , Krishna Vaidyanathan

The paper gives an overview of recent advances in structural equation modeling. A structural equation model is a multivariate statistical model that is determined by a mixed graph, also known as a path diagram. Our focus is on the…

Statistics Theory · Mathematics 2016-12-20 Mathias Drton

Graph transformation formalisms have proven to be suitable tools for the modelling of chemical reactions. They are well established in theoretical studies and increasingly also in practical applications in chemistry. The latter is made…

Discrete Mathematics · Computer Science 2022-08-29 Jakob L. Andersen , Rolf Fagerberg , Juri Kolčák , Christophe V. F. P. Laurent , Daniel Merkle , Nikolai Nøjgaard

In high-dimensional and/or non-parametric regression problems, regularization (or penalization) is used to control model complexity and induce desired structure. Each penalty has a weight parameter that indicates how strongly the structure…

Machine Learning · Statistics 2017-03-30 Jean Feng , Noah Simon

We present NNrepair, a constraint-based technique for repairing neural network classifiers. The technique aims to fix the logic of the network at an intermediate layer or at the last layer. NNrepair first uses fault localization to find…

Machine Learning · Computer Science 2021-06-16 Muhammad Usman , Divya Gopinath , Youcheng Sun , Yannic Noller , Corina Pasareanu

We show how a graph algorithm for finding matching labeled paths in pairs of labeled directed graphs can be used to perform model validation for a class of dynamical systems including regulatory network models of relevance to systems…

Dynamical Systems · Mathematics 2017-06-15 Bree Cummins , Tomas Gedeon , Shaun Harker , Konstantin Mischaikow

We tackle the problem of simultaneous transformations of networks represented as graphs. Roughly speaking, one may distinguish two kinds of simultaneous or parallel rewrite relations over complex structures such as graphs: (i) those which…

Formal Languages and Automata Theory · Computer Science 2017-01-25 Rachid Echahed , Aude Maignan