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Societies often rely on human experts to take a wide variety of decisions affecting their members, from jail-or-release decisions taken by judges and stop-and-frisk decisions taken by police officers to accept-or-reject decisions taken by…

机器学习 · 统计学 2018-05-29 Isabel Valera , Adish Singla , Manuel Gomez Rodriguez

Probabilistic timed automata are a suitable formalism to model systems with real-time, nondeterministic and probabilistic behaviour. We study two-player zero-sum games on such automata where the objective of the game is specified as the…

计算机科学中的逻辑 · 计算机科学 2016-04-18 Vojtěch Forejt , Marta Kwiatkowska , Gethin Norman , Ashutosh Trivedi

We consider a bilevel continuous knapsack problem where the leader controls the capacity of the knapsack, while the follower chooses a feasible packing maximizing his own profit. The leader's aim is to optimize a linear objective function…

数据结构与算法 · 计算机科学 2022-07-19 Christoph Buchheim , Dorothee Henke , Jannik Irmai

An algorithm is described that enables efficient deterministic approximate computation of the bootstrap distribution for any linear bootstrap method $T_n^*$, alleviating the need for repeated resampling from observations (resp.…

统计方法学 · 统计学 2019-04-10 Thomas Pitschel

A very simple heuristic approach to the unfolding problem will be described. An iterative algorithm starts with an empty histogram and every iteration aims to add one entry to this histogram. The entry to be added is selected according to a…

数据分析、统计与概率 · 物理学 2014-11-06 Yordan Karadzhov

A radio network (RN) is a distributed system consisting of $n$ radio stations. We design and analyze two distributed leader election protocols in RN where the number $n$ of radio stations is unknown. The first algorithm runs under the…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Christian Lavault , Jean-François Marckert , Vlady Ravelomanana

We study the complexity of a fundamental algorithm for fairly allocating indivisible items, the round-robin algorithm. For $n$ agents and $m$ items, we show that the algorithm can be implemented in time $O(nm\log(m/n))$ in the worst case.…

计算机科学与博弈论 · 计算机科学 2025-08-07 Zihan Li , Pasin Manurangsi , Jonathan Scarlett , Warut Suksompong

The model of population protocols refers to the growing in popularity theoretical framework suitable for studying pairwise interactions within a large collection of simple indistinguishable entities, frequently called agents. In this paper…

分布式、并行与集群计算 · 计算机科学 2018-03-28 Leszek Gasieniec , Grzegorz Stachowiak

In this paper we study a single machine scheduling problem with the objective of minimizing the sum of completion times. Each of the given jobs is either short or long. However the processing times are initially hidden to the algorithm, but…

数据结构与算法 · 计算机科学 2021-05-06 Fanny Dufossé , Christoph Dürr , Noël Nadal , Denis Trystram , Óscar C. Vásquez

The voting process is formalized as a multistage voting model with successive alternative elimination. A finite number of agents vote for one of the alternatives each round subject to their preferences. If the number of votes given to the…

最优化与控制 · 数学 2018-08-01 Oleg A. Malafeyev , Denis Rylow , Irina Zaitseva , Anna Ermakova , Dmitry Shlaev

The problem addressed concerns the determination of the average number of successive attempts of guessing a word of a certain length consisting of letters with given probabilities of occurrence. Both first- and second-order approximations…

信息论 · 计算机科学 2015-06-19 Kerstin Andersson

We evaluate the folk wisdom that algorithmic decision rules trained on data produced by biased human decision-makers necessarily reflect this bias. We consider a setting where training labels are only generated if a biased decision-maker…

机器学习 · 计算机科学 2020-12-22 Ashesh Rambachan , Jonathan Roth

We introduce a new class of first passage time optimization driven by threshold resetting, inspired by many natural processes where crossing a critical limit triggers failure, degradation or transition. In here, search agents are…

统计力学 · 物理学 2026-01-22 Arup Biswas , Satya N Majumdar , Arnab Pal

Recent results in homotopy and solution paths demonstrate that certain well-designed greedy algorithms, with a range of values of the algorithmic parameter, can provide solution paths to a sequence of convex optimization problems. On the…

统计理论 · 数学 2009-09-29 Xiaoming Huo , Xuelei , Ni

In an election in which each voter ranks all of the candidates, we consider the head-to-head results between each pair of candidates and form a labeled directed graph, called the margin graph, which contains the margin of victory of each…

理论经济学 · 经济学 2020-09-08 Matthew Harrison-Trainor

Consider the problem of finding a population or a probability distribution amongst many with the largest mean when these means are unknown but population samples can be simulated or otherwise generated. Typically, by selecting largest…

概率论 · 数学 2018-09-11 Peter Glynn , Sandeep Juneja

We propose a general approach to quantitatively assessing the risk and vulnerability of artificial intelligence (AI) systems to biased decisions. The guiding principle of the proposed approach is that any AI algorithm must outperform a…

计算机与社会 · 计算机科学 2024-08-13 Shun Ide , Allison Blunt , Djallel Bouneffouf

An election over a finite set of candidates is called single-crossing if, as we sweep through the list of voters from left to right, the relative order of every pair of candidates changes at most once. Such elections have many attractive…

计算机科学与博弈论 · 计算机科学 2019-06-25 Nathann Cohenn , Edith Elkind , Foram Lakhani

We model stochastic choice as environment-dependent switching among a small library of deterministic decision rules. A Random Rule Model generates menu-level choice probabilities via named, interpretable rules weighted by observable menu…

综合经济学 · 经济学 2026-04-15 Avner Seror

The paper considers the problem of finding the number of dominant voters in two-level voting procedures. At the first stage, voting is conducted among local groups of voters, and at the second stage, the results are aggregated to form a…

离散数学 · 计算机科学 2025-06-11 N. I. Shushko , D. V. Lemtyuzhnikova
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