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Graph models are helpful means of analyzing computer networks as well as complex system architectures for security. In this paper we evaluate the current state of research for representing and analysing cyber-attack using graph models, i.e.…

Cryptography and Security · Computer Science 2023-11-17 Jasmin Wachter

This is a book on weighted tree automata. We present the basic definitions and some of the important results in a coherent form with full proofs. The concept of weighted tree automata is part of Automata Theory and it touches the area of…

Formal Languages and Automata Theory · Computer Science 2026-01-28 Zoltán Fülöp , Heiko Vogler

Optimal transport (OT) theory provides powerful tools to compare probability measures. However, OT is limited to nonnegative measures having the same mass, and suffers serious drawbacks about its computation and statistics. This leads to…

Machine Learning · Statistics 2021-01-26 Tam Le , Truyen Nguyen

Adversarial training (AT) refers to integrating adversarial examples -- inputs altered with imperceptible perturbations that can significantly impact model predictions -- into the training process. Recent studies have demonstrated the…

Machine Learning · Computer Science 2024-10-22 Mengnan Zhao , Lihe Zhang , Jingwen Ye , Huchuan Lu , Baocai Yin , Xinchao Wang

We study the complexity of answer counting for ontology-mediated queries and for querying under constraints, considering conjunctive queries and unions thereof (UCQs) as the query language and guarded TGDs as the ontology and constraint…

Databases · Computer Science 2024-02-14 Cristina Feier , Carsten Lutz , Marcin Przybyłko

Adversarial attacks on explainability models have drastic consequences when explanations are used to understand the reasoning of neural networks in safety critical systems. Path methods are one such class of attribution methods susceptible…

Machine Learning · Computer Science 2025-02-28 Lachlan Simpson , Federico Costanza , Kyle Millar , Adriel Cheng , Cheng-Chew Lim , Hong Gunn Chew

In this paper we present with algebraic trees a novel notion of (continuum) trees which generalizes countable graph-theoretic trees to (potentially) uncountable structures. For that purpose we focus on the tree structure given by the branch…

Probability · Mathematics 2021-04-29 Wolfgang Löhr , Anita Winter

One of the important tasks of the Reliability Estimation is Analysis of the Fault Tree. A problem of Fault Trees analysis is considered one of the most complex ones, since structure of such trees is characterized by a considerable number of…

Software Engineering · Computer Science 2016-02-12 Sergey Porotsky

Taking a Feynman categorical perspective, several key aspects of the geometry of surfaces are deduced from combinatorial constructions with graphs. This provides a direct route from combinatorics of graphs to string topology operations via…

Algebraic Topology · Mathematics 2022-01-26 Clemens Berger , Ralph M. Kaufmann

Threat detection systems rely on rule-based logic to identify adversarial behaviors, yet the conformance of these rules to high-level threat models is rarely verified formally. We present a formal verification framework that models both…

Cryptography and Security · Computer Science 2025-09-17 Dumitru-Bogdan Prelipcean , Cătălin Dima

Deep neural networks have achieved impressive performance in various areas, but they are shown to be vulnerable to adversarial attacks. Previous works on adversarial attacks mainly focused on the single-task setting. However, in real…

Machine Learning · Computer Science 2020-11-20 Pengxin Guo , Yuancheng Xu , Baijiong Lin , Yu Zhang

Based on decision trees, many fields have arguably made tremendous progress in recent years. In simple words, decision trees use the strategy of "divide-and-conquer" to divide the complex problem on the dependency between input features and…

Machine Learning · Computer Science 2021-01-22 Jinxiong Zhang

Fault tree analysis is a technique widely used in risk and reliability analysis of complex engineering systems given its deductive nature and relatively simple interpretation. In a fault tree, events are usually represented by a binary…

Other Computer Science · Computer Science 2022-04-26 Gabriel San Martin Silva , Tarannom Parhizkar , Enrique Lopez Droguett

Attack graphs are commonly used to analyse the security of medium-sized to large networks. Based on a scan of the network and likelihood information of vulnerabilities, attack graphs can be transformed into Bayesian Attack Graphs (BAGs).…

Cryptography and Security · Computer Science 2021-03-18 Isaac Matthews , John Mace , Sadegh Soudjani , Aad van Moorsel

Data reconstruction attacks, which aim to recover the training dataset of a target model with limited access, have gained increasing attention in recent years. However, there is currently no consensus on a formal definition of data…

Cryptography and Security · Computer Science 2025-06-10 Rui Wen , Yiyong Liu , Michael Backes , Yang Zhang

Generalized linear and additive models are very efficient regression tools but the selection of relevant terms becomes difficult if higher order interactions are needed. In contrast, tree-based methods also known as recursive partitioning…

Methodology · Statistics 2015-04-21 Gerhard Tutz , Moritz Berger

An attack taxonomy offers a consistent and structured classification scheme to systematically understand, identify, and classify cybersecurity threat attributes. However, existing taxonomies only focus on a narrow range of attacks and…

Cryptography and Security · Computer Science 2026-04-03 Md Habibor Rahman , Rocco Cassandro , Thorsten Wuest , Mohammed Shafae

Vulnerability discovery and exploits detection are two wide areas of study in software engineering. This preliminary work tries to combine existing methods with machine learning techniques to define a metric classification of vulnerable…

Software Engineering · Computer Science 2014-07-23 Gabriele Modena

Penetration Testing is a methodology for assessing network security, by generating and executing possible attacks. Doing so automatically allows for regular and systematic testing. A key question then is how to automatically generate the…

Artificial Intelligence · Computer Science 2013-07-31 Carlos Sarraute

A generalization of incidence relations in abstract polytope has been explored, and parameterized surfaces are used as primers. The abstract orientable incidence structure is defined as an algebraic model of incidence relations, in which…

Combinatorics · Mathematics 2023-03-09 Yu-Wei Huang
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