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We present the first fixed-parameter algorithm for constructing a tree-child phylogenetic network that displays an arbitrary number of binary input trees and has the minimum number of reticulations among all such networks. The algorithm…

离散数学 · 计算机科学 2019-07-22 Leo van Iersel , Remie Janssen , Mark Jones , Yukihiro Murakami , Norbert Zeh

Conjoint experiments randomize multidimensional profiles, offering a powerful design for recovering structural preference parameters -- including marginal rates of substitution, willingness to pay, and the distribution of preferences across…

统计方法学 · 统计学 2026-05-26 Avidit Acharya , Jens Hainmueller , Yiqing Xu

We consider the problem of minimising the number of states in a multiplicity tree automaton over the field of rational numbers. We give a minimisation algorithm that runs in polynomial time assuming unit-cost arithmetic. We also show that a…

形式语言与自动机理论 · 计算机科学 2019-03-14 Stefan Kiefer , Ines Marusic , James Worrell

A decision tree is one of the most popular approaches in machine learning fields. However, it suffers from the problem of overfitting caused by overly deepened trees. Then, a meta-tree is recently proposed. It solves the problem of…

机器学习 · 统计学 2024-02-12 Ryota Maniwa , Naoki Ichijo , Yuta Nakahara , Toshiyasu Matsushima

We study fairness in social choice settings under single-peaked preferences. Construction and characterization of social choice rules in the single-peaked domain has been extensively studied in prior works. In fact, in the single-peaked…

计算机科学与博弈论 · 计算机科学 2022-07-19 Gogulapati Sreedurga , Soumyarup Sadhukhan , Souvik Roy , Yadati Narahari

Usually a voting rule requires agents to give their preferences as linear orders. However, in some cases it is impractical for an agent to give a linear order over all the alternatives. It has been suggested to let agents submit partial…

计算机科学与博弈论 · 计算机科学 2014-01-17 Lirong Xia , Vincent Conitzer

We present a comprehensive classical and parameterized complexity analysis of decision tree pruning operations, extending recent research on the complexity of learning small decision trees. Thereby, we offer new insights into the…

机器学习 · 计算机科学 2025-03-06 Juha Harviainen , Frank Sommer , Manuel Sorge , Stefan Szeider

In recent years, significant progress has been made on algorithms for learning optimal decision trees, primarily in the context of binary features. Extending these methods to continuous features remains substantially more challenging due to…

机器学习 · 计算机科学 2026-01-22 Harold Kiossou , Pierre Schaus , Siegfried Nijssen

We investigate algorithms to find the first vertex in large trees generated by either the uniform attachment or preferential attachment model. We require the algorithm to output a set of $K$ vertices, such that, with probability at least…

概率论 · 数学 2015-12-02 Sébastien Bubeck , Luc Devroye , Gábor Lugosi

Let R^d -> A be a query problem over R^d for which there exists a data structure S that can compute P(q) in O(log n) time for any query point q in R^d. Let D be a probability measure over R^d representing a distribution of queries. We…

计算几何 · 计算机科学 2010-02-08 Prosenjit Bose , Luc Devroye , Karim Douieb , Vida Dujmovic , James King , Pat Morin

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…

数据结构与算法 · 计算机科学 2017-04-25 Kitti Gelle , Szabolcs Ivan

It remains an open question how to determine the winner of an election when voter preferences are incomplete or uncertain. One option is to assume some probability space over the voting profile and select the Most Probable Winner (MPW) --…

计算机科学与博弈论 · 计算机科学 2023-04-27 Haoyue Ping , Julia Stoyanovich

We introduce the notion of quota trees in directed graphs. Given a nonnegative integer ``quota'' for each vertex of a directed multigraph $G$, a quota tree is an immersed rooted tree which hits each vertex of $G$ the prescribed number of…

组合数学 · 数学 2024-01-04 Tad White

We propose a procedure to build a decision tree which approximates the performance of complex machine learning models. This single approximation tree can be used to interpret and simplify the predicting pattern of random forests (RFs) and…

统计方法学 · 统计学 2016-10-31 Yichen Zhou , Giles Hooker

We consider the problem of PAC-learning decision trees, i.e., learning a decision tree over the n-dimensional hypercube from independent random labeled examples. Despite significant effort, no polynomial-time algorithm is known for learning…

机器学习 · 计算机科学 2008-12-05 Adam Tauman Kalai , Shang-Hua Teng

Pairwise comparison methods, such as Fuzzy Preference Relations and Saaty's Multiplicative Preference Relations, are widely used to model expert judgments in multi-criteria decision-making. However, their application is limited by the high…

人工智能 · 计算机科学 2025-10-10 Diego García-Zamora , Álvaro Labella , José Rui Figueira

In order to speed-up classification models when facing a large number of categories, one usual approach consists in organizing the categories in a particular structure, this structure being then used as a way to speed-up the prediction…

机器学习 · 计算机科学 2015-11-26 Aurélia Léon , Ludovic Denoyer

Many electoral bribery, control, and manipulation problems (which we will refer to in general as "manipulative actions" problems) are NP-hard in the general case. It has recently been noted that many of these problems fall into polynomial…

计算机科学与博弈论 · 计算机科学 2012-07-09 Piotr Faliszewski , Edith Hemaspaandra , Lane A. Hemaspaandra

It is well known that for a given bottom-up tree automaton it can be decided whether or not there exists deterministic top-down tree automaton that recognized the same tree language. Recently it was claimed that such a decision can be…

形式语言与自动机理论 · 计算机科学 2023-06-02 Sebastian Maneth , Helmut Seidl

Despite the latest prevailing success of deep neural networks (DNNs), several concerns have been raised against their usage, including the lack of intepretability the gap between DNNs and other well-established machine learning models, and…

机器学习 · 计算机科学 2021-01-01 Jianghao Shen , Sicheng Wang , Zhangyang Wang