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Decision trees are one of the most fundamental computational models for computing Boolean functions $f : \{0, 1\}^n \mapsto \{0, 1\}$. It is well-known that the depth and size of decision trees are closely related to time and number of…

计算复杂性 · 计算机科学 2025-01-03 Deepu Benson , Balagopal Komarath , Jayalal Sarma , Nalli Sai Soumya

Monte Carlo Tree Search is a popular method for solving decision making problems. Faster implementations allow for more simulations within the same wall clock time, directly improving search performance. To this end, we present an…

人工智能 · 计算机科学 2025-08-29 James Ragan , Fred Y. Hadaegh , Soon-Jo Chung

This paper considers the design-phase safety analysis of vehicle guidance systems. The proposed approach constructs dynamic fault trees (DFTs) to model a variety of safety concepts and E/E architectures for drive automation. The fault trees…

软件工程 · 计算机科学 2019-03-14 Majdi Ghadhab , Sebastian Junges , Joost-Pieter Katoen , Matthias Kuntz , Matthias Volk

In the uncapacitated facility location problem, given a graph, a set of demands and opening costs, it is required to find a set of facilities R, so as to minimize the sum of the cost of opening the facilities in R and the cost of assigning…

数据结构与算法 · 计算机科学 2010-02-03 Shiri Chechik , David Peleg

There are many classical problems in P whose time complexities have not been improved over the past decades. Recent studies of "Hardness in P" have revealed that, for several of such problems, the current fastest algorithm is the best…

数据结构与算法 · 计算机科学 2017-10-24 Yoichi Iwata , Tomoaki Ogasawara , Naoto Ohsaka

We consider the classic problem of Network Reliability. A network is given together with a source vertex, one or more target vertices, and probabilities assigned to each of the edges. Each edge appears in the network with its associated…

组合数学 · 数学 2019-03-20 Amir Kafshdar Goharshady , Fatemeh Mohammadi

Factor Analysis (FA) is a technique of fundamental importance that is widely used in classical and modern multivariate statistics, psychometrics and econometrics. In this paper, we revisit the classical rank-constrained FA problem, which…

统计方法学 · 统计学 2017-04-25 Dimitris Bertsimas , Martin S. Copenhaver , Rahul Mazumder

This paper advances the theoretical understanding of active learning label complexity for decision trees as binary classifiers. We make two main contributions. First, we provide the first analysis of the disagreement coefficient for…

We consider conducting inference on the output of the Classification and Regression Tree (CART) [Breiman et al., 1984] algorithm. A naive approach to inference that does not account for the fact that the tree was estimated from the data…

统计方法学 · 统计学 2022-10-19 Anna C. Neufeld , Lucy L. Gao , Daniela M. Witten

Joint safety and security analysis of cyber-physical systems is a necessary step to correctly capture inter-dependencies between these properties. Attack-Fault Trees represent a combination of dynamic Fault Trees and Attack Trees and can be…

This paper integrates Fault Tree Analysis (FTA) and Bayesian Networks (BN) to assess collision risk and establish Automotive Safety Integrity Level (ASIL) B failure rate targets for critical autonomous vehicle (AV) components. The FTA-BN…

系统与控制 · 电气工程与系统科学 2025-09-29 Lansu Dai , Burak Kantarci

The robustness and correctness of SAT solvers are receiving more and more attention. In recent SAT competitions, a proof of unsatisfiability emitted by SAT solvers must be checked. So far, no proof checker has been efficient for every case.…

软件工程 · 计算机科学 2018-06-26 Jingchao Chen

Compatibility of unrooted phylogenetic trees is a well studied problem in phylogenetics. It asks to determine whether for a set of k input trees there exists a larger tree (called a supertree) that contains the topologies of all k input…

离散数学 · 计算机科学 2014-03-03 Alexander Grigoriev , Steven Kelk , Nela Lekic

Functional safety forms an important aspect in the design of systems. Its emphasis on the automotive industry has evolved significantly over the years. Till date many methods have been developed to get appropriate FTA(Fault Tree analysis)…

系统与控制 · 电气工程与系统科学 2024-11-25 Sneha Sudhir Shetiya , Divya Garikapati , Veeraja Sohoni

In classification and forecasting with tabular data, one often utilizes tree-based models. Those can be competitive with deep neural networks on tabular data and, under some conditions, explainable. The explainability depends on the depth…

机器学习 · 计算机科学 2024-06-05 Jiri Nemecek , Tomas Pevny , Jakub Marecek

This work proposes a new and flexible unreliable failure detector whose output is related to the trust level of a set of processes. By expressing the relevance of each process of the set by an impact factor value, our approach allows the…

分布式、并行与集群计算 · 计算机科学 2014-04-28 Anubis G. M. Rossetto , Cláudio F. R. Geyer , Luciana Arantes , Pierre Sens

The need to learn from positive and unlabeled data, or PU learning, arises in many applications and has attracted increasing interest. While random forests are known to perform well on many tasks with positive and negative data, recent PU…

机器学习 · 计算机科学 2022-10-18 Jonathan Wilton , Abigail M. Y. Koay , Ryan K. L. Ko , Miao Xu , Nan Ye

Decision trees and decision rule systems play important roles as classifiers, knowledge representation tools, and algorithms. They are easily interpretable models for data analysis, making them widely used and studied in computer science.…

人工智能 · 计算机科学 2024-01-17 Kerven Durdymyradov , Mikhail Moshkov

We introduce new methods for phylogenetic tree quartet construction by using machine learning to optimize the power of phylogenetic invariants. Phylogenetic invariants are polynomials in the joint probabilities which vanish under a model of…

种群与进化 · 定量生物学 2007-05-23 Nicholas Eriksson , Yuan Yao

Timely maintenance is an important means of increasing system dependability and life span. Fault Maintenance trees (FMTs) are an innovative framework incorporating both maintenance strategies and degradation models and serve as a good…

系统与控制 · 计算机科学 2018-06-25 Nathalie Cauchi , Khaza Anuarul Hoque , Marielle Stoelinga , Alessandro Abate