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An optimal binary search tree for an access sequence on elements is a static tree that minimizes the total search cost. Constructing perfectly optimal binary search trees is expensive so the most efficient algorithms construct almost…

Data Structures and Algorithms · Computer Science 2018-06-28 Mordecai Golin , John Iacono , Stefan Langerman , J. Ian Munro , Yakov Nekrich

The paper presents a technique for constructing noisy data structures called a walking tree. We apply it for a Red-Black tree (an implementation of a Self-Balanced Binary Search Tree) and a segment tree. We obtain the same complexity of the…

Quantum Physics · Physics 2023-05-16 Kamil Khadiev , Nikita Savelyev , Mansur Ziatdinov , Denis Melnikov

Active Directory is the default security management system for Windows domain networks. We study the shortest path edge interdiction problem for defending Active Directory style attack graphs. The problem is formulated as a Stackelberg game…

Computer Science and Game Theory · Computer Science 2021-12-28 Mingyu Guo , Jialiang Li , Aneta Neumann , Frank Neumann , Hung Nguyen

The function or performance of a network is strongly dependent on its robustness, quantifying the ability of the network to continue functioning under perturbations. While a wide variety of robustness metrics have been proposed, they have…

Social and Information Networks · Computer Science 2023-06-16 Liwang Zhu , Qi Bao , Zhongzhi 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

This paper tackles the problems of generating concrete test cases for testing whether an application is vulnerable to attacks, and of checking whether security solutions are correctly implemented. The approach proposed in the paper aims at…

Software Engineering · Computer Science 2020-07-08 Sébastien Salva , Loukmen Regainia

Many computational problems admit fast algorithms on special inputs, however, the required properties might be quite restrictive. E.g., many graph problems can be solved much faster on interval or cographs, or on graphs of small…

Data Structures and Algorithms · Computer Science 2022-09-30 Stefan Kratsch , Florian Nelles

We propose a tree-based algorithm for classification and regression problems in the context of functional data analysis, which allows to leverage representation learning and multiple splitting rules at the node level, reducing…

Machine Learning · Statistics 2020-11-03 Edoardo Belli , Simone Vantini

Quantitative security analysis of networked computer systems is one of the decades-long open problems in computer security. Recently, a promising approach was proposed in \cite{XuTDSC11}, which however made some strong assumptions including…

Cryptography and Security · Computer Science 2016-03-29 Maochao Xu , Shouhuai Xu

In this paper, we investigate adaptive nonlinear regression and introduce tree based piecewise linear regression algorithms that are highly efficient and provide significantly improved performance with guaranteed upper bounds in an…

Machine Learning · Computer Science 2013-12-30 N. Denizcan Vanli , Suleyman S. Kozat

Survival analysis studies and predicts the time of death, or other singular unrepeated events, based on historical data, while the true time of death for some instances is unknown. Survival trees enable the discovery of complex nonlinear…

Machine Learning · Computer Science 2024-01-10 Tim Huisman , Jacobus G. M. van der Linden , Emir Demirović

We carry out a detailed analysis of the security advice coding method (SAcoding) of Barrera et al. (2021), which is designed to analyze security advice in the sense of measuring actionability and categorizing advice items as practices,…

Cryptography and Security · Computer Science 2023-06-16 David Barrera , Christopher Bellman , Paul C. van Oorschot

In this paper, a new learning algorithm for adaptive network intrusion detection using naive Bayesian classifier and decision tree is presented, which performs balance detections and keeps false positives at acceptable level for different…

Artificial Intelligence · Computer Science 2010-07-15 Dewan Md. Farid , Nouria Harbi , Mohammad Zahidur Rahman

Alert correlation is a system which receives alerts from heterogeneous Intrusion Detection Systems and reduces false alerts, detects high level patterns of attacks, increases the meaning of occurred incidents, predicts the future states of…

Cryptography and Security · Computer Science 2018-11-05 Seyed Ali Mirheidari , Sajjad Arshad , Rasool Jalili

Computing an optimal classification tree that provably maximizes training performance within a given size limit, is NP-hard, and in practice, most state-of-the-art methods do not scale beyond computing optimal trees of depth three.…

Machine Learning · Computer Science 2025-01-15 Catalin E. Brita , Jacobus G. M. van der Linden , Emir Demirović

Risk assessment plays a crucial role in ensuring the security and resilience of modern computer systems. Existing methods for conducting risk assessments often suffer from tedious and time-consuming processes, making it challenging to…

Cryptography and Security · Computer Science 2023-07-27 Simon Unger , Ektor Arzoglou , Markus Heinrich , Dirk Scheuermann , Stefan Katzenbeisser

Decision trees provide a rich family of highly non-linear but efficient models, due to which they continue to be the go-to family of predictive models by practitioners across domains. But learning trees is challenging due to their discrete…

Machine Learning · Computer Science 2022-10-03 Ajaykrishna Karthikeyan , Naman Jain , Nagarajan Natarajan , Prateek Jain

This work focuses on quantitative verification of fairness in tree ensembles. Unlike traditional verification approaches that merely return a single counterexample when the fairness is violated, quantitative verification estimates the ratio…

Machine Learning · Computer Science 2025-12-19 Zhenjiang Zhao , Takahisa Toda , Takashi Kitamura

As the development of distributed systems progresses, more and more challenges arise and the need for developing optimized systems and for optimizing existing systems from multiple perspectives becomes more stringent. In this paper I…

Data Structures and Algorithms · Computer Science 2009-03-21 Mugurel Ionut Andreica

Object Oriented Data Analysis is a new area in statistics that studies populations of general data objects. In this article we consider populations of tree-structured objects as our focus of interest. We develop improved analysis tools for…

Methodology · Statistics 2012-02-14 Burcu Aydın , Gábor Pataki , Haonan Wang , Alim Ladha , Elizabeth Bullitt , J. S. Marron
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