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Decision trees have been studied extensively in the context of fairness, aiming to maximize prediction performance while ensuring non-discrimination against different groups. Techniques in this space usually focus on imposing constraints at…

Machine Learning · Computer Science 2025-09-04 Kiara Stempel , Mattia Cerrato , Stefan Kramer

In the laminar-constrained spanning tree problem, the goal is to find a minimum-cost spanning tree which respects upper bounds on the number of times each cut in a given laminar family is crossed. This generalizes the well-studied…

Data Structures and Algorithms · Computer Science 2023-04-18 Nathan Klein , Neil Olver

We study the problem of efficient adversarial attacks on tree based ensembles such as gradient boosting decision trees (GBDTs) and random forests (RFs). Since these models are non-continuous step functions and gradient does not exist, most…

Machine Learning · Computer Science 2020-10-23 Chong Zhang , Huan Zhang , Cho-Jui Hsieh

In this paper a new mining algorithm is defined based on frequent item set. Apriori Algorithm scans the database every time when it finds the frequent item set so it is very time consuming and at each step it generates candidate item set.…

Databases · Computer Science 2012-02-23 Sanober Shaikh , Madhuri rao

Deliberative tree search is a cornerstone of modern Large Language Model (LLM) research, driving the pivot from brute-force scaling toward algorithmic efficiency. This single paradigm unifies two critical frontiers: \textbf{Test-Time…

In this article, we give a precise mathematical meaning to `linear? time' that matches experimental behaviour of the algorithm. The sorting algorithm is not our own, it is a variant of radix sort with counting sort as a subroutine. The true…

Computational Complexity · Computer Science 2019-01-01 Laurent Lyaudet

Temporal graphs represent interactions between entities over time. Deciding whether entities can reach each other through temporal paths is useful for various applications such as in communication networks and epidemiology. Previous works…

Data Structures and Algorithms · Computer Science 2023-08-24 Luiz Fernando Afra Brito , Marcelo Keese Albertini , Bruno Augusto Nassif Travençolo , Gonzalo Navarro

It is well-known that freeness and linearity information positively interact with aliasing information, allowing both the precision and the efficiency of the sharing analysis of logic programs to be improved. In this paper we present a…

Programming Languages · Computer Science 2007-05-23 Patricia M. Hill , Enea Zaffanella , Roberto Bagnara

Binary search trees (BST) are a popular type of data structure when dealing with ordered data. Indeed, they enable one to access and modify data efficiently, with their height corresponding to the worst retrieval time. From a probabilistic…

Probability · Mathematics 2025-01-28 Benoît Corsini , Victor Dubach , Valentin Féray

High-utility itemset mining finds itemsets from a transaction database with utility no less than a fixed user-defined threshold. The utility of an itemset is defined as the sum of the utilities of its item. Several algorithms were proposed…

Data Structures and Algorithms · Computer Science 2019-11-19 Siddharth Dawar , Vikram Goyal , Debajyoti Bera

Given a text, rank and select queries return the number of occurrences of a character up to a position (rank) or the position of a character with a given rank (select). These queries have applications in, e.g., compression, computational…

Data Structures and Algorithms · Computer Science 2023-11-10 Matteo Ceregini , Florian Kurpicz , Rossano Venturini

In collective tree exploration, a team of $k$ mobile agents is tasked to go through all edges of an unknown tree as fast as possible. An edge of the tree is revealed to the team when one agent becomes adjacent to that edge. The agents start…

Data Structures and Algorithms · Computer Science 2023-11-01 Romain Cosson

Disjoint-Set forests, consisting of Union-Find trees, are data structures having a widespread practical application due to their efficiency. Despite them being well-known, no exact structural characterization of these trees is known (such a…

Data Structures and Algorithms · Computer Science 2017-04-25 Kitti Gelle , Szabolcs Ivan

Large tree structures are ubiquitous and real-world relational datasets often have information associated with nodes (e.g., labels or other attributes) and edges (e.g., weights or distances) that need to be communicated to the viewers. Yet,…

Computational Geometry · Computer Science 2023-05-18 Kathryn Gray , Mingwei Li , Reyan Ahmed , Md. Khaledur Rahman , Ariful Azad , Stephen Kobourov , Katy Börner

Sorting is a foundational problem in computer science that is typically employed on sequences or total orders. More recently, a more general form of sorting on partially ordered sets (or posets), where some pairs of elements are…

Data Structures and Algorithms · Computer Science 2022-06-03 Jishnu Roychoudhury , Jatin Yadav

Many network applications are based on binary-state networks, where each component has one of two states: success or failure. Efficient algorithms to evaluate binary-state network reliability are continually being developed. Reliability…

Networking and Internet Architecture · Computer Science 2020-12-01 Wei-Chang Yeh

Frequent tree mining asks us to enumerate tree patterns that occur frequently in a database of rooted trees. This problem is motivated by tree-structured data in bioinformatics, such as glycans and pseudoknot-free RNA secondary structures.…

Data Structures and Algorithms · Computer Science 2026-05-21 Kenta Komoto , Kazuhiro Kurita , Hirotaka Ono

Partitioning a graph using graph separators, and particularly clique separators, are well-known techniques to decompose a graph into smaller units which can be treated independently. It was previously known that the treewidth was bounded…

Discrete Mathematics · Computer Science 2019-09-09 Boi Faltings , Martin Charles Golumbic

Algorithms with (machine-learned) predictions is a powerful framework for combining traditional worst-case algorithms with modern machine learning. However, the vast majority of work in this space assumes that the prediction itself is…

Machine Learning · Computer Science 2024-11-26 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Aidin Niaparast , Sergei Vassilvitskii

Local search is widely used to solve combinatorial optimisation problems and to model biological evolution, but the performance of local search algorithms on different kinds of fitness landscapes is poorly understood. Here we consider how…

Data Structures and Algorithms · Computer Science 2020-11-13 Artem Kaznatcheev , David A. Cohen , Peter G. Jeavons