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Inspired by [4] we present a new algorithm for uniformly random generation of ordered trees in which all occuring outdegrees can be specified by a given sequence of numbers. The method can be used for random generation of binary or n-ary…

Discrete Mathematics · Computer Science 2021-12-30 Aleksander Kiryk

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

Measuring the complexity of tree structures can be beneficial in areas that use tree data structures for storage, communication, and processing purposes. This complexity can then be used to compress tree data structures to their…

Information Theory · Computer Science 2023-09-19 Amirmohammad Farzaneh , Mihai-Alin Badiu , Justin P. Coon

Trees are useful entities allowing to model data structures and hierarchical relationships in networked decision systems ubiquitously. An ordered tree is a rooted tree where the order of the subtrees (children) of a node is significant. In…

Data Structures and Algorithms · Computer Science 2020-11-10 Victor Parque , Tomoyuki Miyashita

The use of machine learning algorithms in finance, medicine, and criminal justice can deeply impact human lives. As a consequence, research into interpretable machine learning has rapidly grown in an attempt to better control and fix…

Machine Learning · Computer Science 2021-02-02 Thibaut Vidal , Toni Pacheco , Maximilian Schiffer

Backdoor attacks pose a new threat to NLP models. A standard strategy to construct poisoned data in backdoor attacks is to insert triggers (e.g., rare words) into selected sentences and alter the original label to a target label. This…

Computation and Language · Computer Science 2022-04-28 Leilei Gan , Jiwei Li , Tianwei Zhang , Xiaoya Li , Yuxian Meng , Fei Wu , Yi Yang , Shangwei Guo , Chun Fan

The potential lack of fairness in the outputs of machine learning algorithms has recently gained attention both within the research community as well as in society more broadly. Surprisingly, there is no prior work developing tree-induction…

Machine Learning · Statistics 2017-12-25 Edward Raff , Jared Sylvester , Steven Mills

The entities in directed networks arising from real-world interactions are often naturally organized under some hierarchical structure. Given a directed, weighted, graph with edges and node labels, we introduce ranking problem where the…

Data Structures and Algorithms · Computer Science 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti

Sturmian words are infinite binary words with many equivalent definitions: They have a minimal factor complexity among all aperiodic sequences; they are balanced sequences (the labels 0 and 1 are as evenly distributed as possible) and they…

Discrete Mathematics · Computer Science 2008-09-12 Nicolas Gast , Bruno Gaujal

Imagine we want to split a group of agents into teams in the most \emph{efficient} way, considering that each agent has their own preferences about their teammates. This scenario is modeled by the extensively studied \textsc{Coalition…

Data Structures and Algorithms · Computer Science 2025-05-29 Foivos Fioravantes , Harmender Gahlawat , Nikolaos Melissinos

We investigate the interrelations between labeled trees and ultrametric spaces generated by these trees. The labeled trees, which generate complete ultrametrics, totally bounded ultrametrics, and discrete ones, are characterized up to…

Combinatorics · Mathematics 2022-01-27 Oleksiy Dovgoshey , Mehmet Küçükaslan

A tree-packing is a collection of spanning trees of a graph. It has been a useful tool for computing the minimum cut in static, dynamic, and distributed settings. In particular, [Thorup, Comb. 2007] used them to obtain his dynamic min-cut…

Data Structures and Algorithms · Computer Science 2024-12-05 Tijn de Vos , Aleksander B. G. Christiansen

Generating adversarial examples is the art of creating a noise that is added to an input signal of a classifying neural network, and thus changing the network's classification, while keeping the noise as tenuous as possible. While the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Roee Ben-Shlomo , Yevgeniy Men , Ido Imanuel

Certain families of combinatorial objects admit recursive descriptions in terms of generating trees: each node of the tree corresponds to an object, and the branch leading to the node encodes the choices made in the construction of the…

In this paper, we formalize design patterns, commonly used in the self-stabilizing area, to obtain general statements regarding both correctness and time complexity guarantees. Precisely, we study a general class of algorithms designed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-08 Karine Altisen , Stéphane Devismes , Anaïs Durand

Advanced machine learning and natural language techniques enable attackers to launch sophisticated and targeted social engineering-based attacks. To counter the active attacker issue, researchers have since resorted to proactive methods of…

Computation and Language · Computer Science 2020-07-16 Avisha Das , Rakesh M. Verma

Attack trees (ATs) are popular graphical models for reasoning about the security of complex systems, allowing for the quantification of risk through so-called AT metrics. A large variety of different such AT metrics have been proposed, and…

Cryptography and Security · Computer Science 2025-11-19 Benedikt Peterseim , Milan Lopuhaä-Zwakenberg

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

Transfer attacks optimize on a surrogate and deploy to a black-box target. While iterative optimization attacks in this paradigm are limited by their per-input cost limits efficiency and scalability due to multistep gradient updates for…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Jongoh Jeong , Hunmin Yang , Jaeseok Jeong , Kuk-Jin Yoon

This paper investigates an adversary's ease of attack in generating adversarial examples for real-world scenarios. We address three key requirements for practical attacks for the real-world: 1) automatically constraining the size and shape…

Cryptography and Security · Computer Science 2022-03-01 Ryan Feng , Neal Mangaokar , Jiefeng Chen , Earlence Fernandes , Somesh Jha , Atul Prakash