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Machine learning solutions for pattern classification problems are nowadays widely deployed in society and industry. However, the lack of transparency and accountability of most accurate models often hinders their safe use. Thus, there is a…

Machine Learning · Computer Science 2021-12-24 Gonzalo Nápoles , Yamisleydi Salgueiro , Isel Grau , Maikel Leon Espinosa

While structural width parameters (of the input) belong to the standard toolbox of graph algorithms, it is not the usual case in computational geometry. As a case study we propose a natural extension of the structural graph parameter of…

Logic in Computer Science · Computer Science 2020-04-07 Onur Çağırıcı , Petr Hliněný , Filip Pokrývka , Abhisekh Sankaran

Graph Neural Networks (GNNs) have shown great ability in modeling graph-structured data for various domains. However, GNNs are known as black-box models that lack interpretability. Without understanding their inner working, we cannot fully…

Machine Learning · Computer Science 2022-10-06 Enyan Dai , Suhang Wang

We prove that Graph Isomorphism and Canonization in graphs excluding a fixed graph $H$ as a minor can be solved by an algorithm working in time $f(H)\cdot n^{O(1)}$, where $f$ is some function. In other words, we show that these problems…

Data Structures and Algorithms · Computer Science 2022-10-27 Daniel Lokshtanov , Marcin Pilipczuk , Michał Pilipczuk , Saket Saurabh

The area of graph property testing seeks to understand the relation between the global properties of a graph and its local statistics. In the classical model, the local statistics of a graph is defined relative to a uniform distribution…

Combinatorics · Mathematics 2021-09-29 Lior Gishboliner , Asaf Shapira

Model repair is an essential topic in model-driven engineering. Since models are suitably formalized as graph-like structures, we consider the problem of rule-based graph repair: Given a rule set and a graph constraint, try to construct a…

Software Engineering · Computer Science 2019-12-23 Christian Sandmann , Annegret Habel

We investigate parameterizations of both database instances and queries that make query evaluation fixed-parameter tractable in combined complexity. We show that clique-frontier-guarded Datalog with stratified negation (CFG-Datalog) enjoys…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Pierre Bourhis , Mikaël Monet , Pierre Senellart

Continual learning (CL) is the research field that aims to build machine learning models that can accumulate knowledge continuously over different tasks without retraining from scratch. Previous studies have shown that pre-training graph…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Wei Wei , Tom De Schepper , Kevin Mets

A colored graph is a directed graph in which nodes or edges have been assigned colors that are not necessarily unique. Observability problems in such graphs consider whether an agent observing the colors of edges or nodes traversed on a…

Machine Learning · Computer Science 2019-12-18 Mark Chilenski , George Cybenko , Isaac Dekine , Piyush Kumar , Gil Raz

Parameterized complexity seeks to use input structure to obtain faster algorithms for NP-hard problems. This has been most successful for graphs of low treewidth: Many problems admit fast algorithms relative to treewidth and many of them…

Computational Complexity · Computer Science 2022-12-20 Falko Hegerfeld , Stefan Kratsch

Vision models are interpretable when they classify objects on the basis of features that a person can directly understand. Recently, methods relying on visual feature prototypes have been developed for this purpose. However, in contrast to…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Peter Hase , Chaofan Chen , Oscar Li , Cynthia Rudin

Conditions are presented for different types of identifiability of discrete variable models generated over an undirected graph in which one node represents a binary hidden variable. These models can be seen as extensions of the latent class…

Methodology · Statistics 2013-12-12 Elena Stanghellini , Barbara Vantaggi

We consider distributed model-checking of Monadic Second-Order logic (MSO) on graphs which constitute the topology of communication networks. The graph is thus both the structure being checked and the system on which the distributed…

Logic in Computer Science · Computer Science 2009-04-14 Stephane Grumbach , Zhilin Wu

This paper settles the computational complexity of model checking of several extensions of the monadic second order (MSO) logic on two classes of graphs: graphs of bounded treewidth and graphs of bounded neighborhood diversity. A classical…

Computational Complexity · Computer Science 2026-01-06 Dušan Knop , Martin Koutecký , Tomáš Masařík , Tomáš Toufar

As the use of deep learning techniques has grown across various fields over the past decade, complaints about the opaqueness of the black-box models have increased, resulting in an increased focus on transparency in deep learning models.…

Computation and Language · Computer Science 2024-03-19 Siwen Luo , Hamish Ivison , Caren Han , Josiah Poon

The explainability of machine learning algorithms is crucial, and numerous methods have emerged recently. Local, post-hoc methods assign an attribution score to each feature, indicating its importance for the prediction. However, these…

Machine Learning · Computer Science 2024-08-12 Giorgio Visani , Vincenzo Stanzione , Damien Garreau

Graphical models have been widely applied in solving distributed inference problems in sensor networks. In this paper, the problem of coordinating a network of sensors to train a unique ensemble estimator under communication constraints is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Haipeng Zheng , Sanjeev R. Kulkarni , H. Vincent Poor

It is known that a number of natural graph problems which are FPT parameterized by treewidth become W-hard when parameterized by clique-width. It is therefore desirable to find a different structural graph parameter which is as general as…

Data Structures and Algorithms · Computer Science 2013-08-15 Jakub Gajarský , Michael Lampis , Sebastian Ordyniak

A large number of different model checking approaches has been proposed during the last decade. The different approaches are applicable to different model types including untimed, timed, probabilistic and stochastic models. This paper…

Logic in Computer Science · Computer Science 2007-05-23 Peter Buchholz , Peter Kemper

Interpreting the learned features of vision models has posed a longstanding challenge in the field of machine learning. To address this issue, we propose a novel method that leverages the capabilities of language models to interpret the…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Saeid Asgari Taghanaki , Aliasghar Khani , Ali Saheb Pasand , Amir Khasahmadi , Aditya Sanghi , Karl D. D. Willis , Ali Mahdavi-Amiri
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