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Designing well-connected graphs is a fundamental problem that frequently arises in various contexts across science and engineering. The weighted number of spanning trees, as a connectivity measure, emerges in numerous problems and plays a…

Data Structures and Algorithms · Computer Science 2016-04-13 Kasra Khosoussi , Gaurav S. Sukhatme , Shoudong Huang , Gamini Dissanayake

Treemaps have been widely applied to the visualization of hierarchical data. A treemap takes a weighted tree and visualizes its leaves in a nested planar geometric shape, with sub-regions partitioned such that each sub-region has an area…

Graphics · Computer Science 2023-09-01 Mehdi Behroozi , Reyhaneh Mohammadi , Cody Dunne

The rise of machine learning methods on heavily resource constrained devices requires not only the choice of a suitable model architecture for the target platform, but also the optimization of the chosen model with regard to execution time…

Machine Learning · Computer Science 2024-06-19 Lena Schmid , Daniel Biebert , Christian Hakert , Kuan-Hsun Chen , Michel Lang , Markus Pauly , Jian-Jia Chen

Decision trees are an extremely popular machine learning technique. Unfortunately, overfitting in decision trees still remains an open issue that sometimes prevents achieving good performance. In this work, we present a novel approach for…

Machine Learning · Computer Science 2019-06-05 Rafael Garcia Leiva , Antonio Fernandez Anta , Vincenzo Mancuso , Paolo Casari

Much of our commerce and traveling depend on the efficient operation of large scale networks. Some of those, such as electric power grids, transportation systems, communication networks, and others, must maintain their efficiency even after…

Physics and Society · Physics 2015-03-26 Vitor H. P. Louzada , Fabio Daolio , Hans J. Herrmann , Marco Tomassini

Inferring a decision tree from a given dataset is one of the classic problems in machine learning. This problem consists of buildings, from a labelled dataset, a tree such that each node corresponds to a class and a path between the tree…

Machine Learning · Computer Science 2019-04-15 Florent Avellaneda

We investigate the problem of sequentially predicting the binary labels on the nodes of an arbitrary weighted graph. We show that, under a suitable parametrization of the problem, the optimal number of prediction mistakes can be…

Machine Learning · Computer Science 2012-12-27 Nicolo' Cesa-Bianchi , Claudio Gentile , Fabio Vitale , Giovanni Zappella

Decision tree learning is a widely used approach in machine learning, favoured in applications that require concise and interpretable models. Heuristic methods are traditionally used to quickly produce models with reasonably high accuracy.…

Decision tree models, including random forests and gradient-boosted decision trees, are widely used in machine learning due to their high predictive performance. However, their complex structures often make them difficult to interpret,…

Artificial Intelligence · Computer Science 2026-01-08 Akihiro Takemura , Masayuki Otani , Katsumi Inoue

Attack Trees (AT) are a popular formalism for security analysis. They are meant to display an attacker's goal decomposed into attack steps needed to achieve it and compute certain security metrics (e.g., attack cost, probability, and…

Cryptography and Security · Computer Science 2025-07-01 Ítalo Oliveira , Stefano M. Nicoletti , Gal Engelberg , Mattia Fumagalli , Dan Klein , Giancarlo Guizzardi

Label tree-based algorithms are widely used to tackle multi-class and multi-label problems with a large number of labels. We focus on a particular subclass of these algorithms that use probabilistic classifiers in the tree nodes. Examples…

We introduce a cluster evaluation technique called Tree Index. Our Tree Index algorithm aims at describing the structural information of the clustering rather than the quantitative format of cluster-quality indexes (where the representation…

Machine Learning · Computer Science 2020-03-25 A. H. Beg , Md Zahidul Islam , Vladimir Estivill-Castro

The worst-case training principle that minimizes the maximal adversarial loss, also known as adversarial training (AT), has shown to be a state-of-the-art approach for enhancing adversarial robustness. Nevertheless, min-max optimization…

Machine Learning · Computer Science 2021-11-02 Jingkang Wang , Tianyun Zhang , Sijia Liu , Pin-Yu Chen , Jiacen Xu , Makan Fardad , Bo Li

Attack Trees (ATs) are a widely used tool for security analysis. ATs can be employed in quantitative security analysis through metrics, which assign a security value to an AT. Many different AT metrics exist, and there exist multiple…

Cryptography and Security · Computer Science 2024-01-19 Milan Lopuhaä-Zwakenberg

Risk assessment of cyber-physical systems, such as power plants, connected devices and IT-infrastructures has always been challenging: safety (i.e. absence of unintentional failures) and security (i.e. no disruptions due to attackers) are…

Cryptography and Security · Computer Science 2019-05-10 Étienne André , Didier Lime , Mathias Ramparison , Mariëlle Stoelinga

Interpretability is crucial for doctors, hospitals, pharmaceutical companies and biotechnology corporations to analyze and make decisions for high stakes problems that involve human health. Tree-based methods have been widely adopted for…

Machine Learning · Computer Science 2024-05-24 Rui Zhang , Rui Xin , Margo Seltzer , Cynthia Rudin

Machine learning algorithms, however effective, are known to be vulnerable in adversarial scenarios where a malicious user may inject manipulated instances. In this work we focus on evasion attacks, where a model is trained in a safe…

Machine Learning · Computer Science 2020-04-08 Stefano Calzavara , Claudio Lucchese , Federico Marcuzzi , Salvatore Orlando

Widely used deep learning models are found to have poor robustness. Little noises can fool state-of-the-art models into making incorrect predictions. While there is a great deal of high-performance attack generation methods, most of them…

Machine Learning · Computer Science 2022-08-26 Xinyi Wang , Simon Yusuf Enoch , Dong Seong Kim

Decision tree optimization is fundamental to interpretable machine learning. The most popular approach is to greedily search for the best feature at every decision point, which is fast but provably suboptimal. Recent approaches find the…

Machine Learning · Computer Science 2025-11-19 Varun Babbar , Hayden McTavish , Cynthia Rudin , Margo Seltzer

We propose methods for density estimation and data synthesis using a novel form of unsupervised random forests. Inspired by generative adversarial networks, we implement a recursive procedure in which trees gradually learn structural…

Machine Learning · Statistics 2023-03-14 David S. Watson , Kristin Blesch , Jan Kapar , Marvin N. Wright