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"Position bias" describes the tendency of users to interact with items on top of a list with higher probability than with items at a lower position in the list, regardless of the items' actual relevance. In the domain of recommender…

Digital Libraries · Computer Science 2018-02-20 Andrew Collins , Dominika Tkaczyk , Akiko Aizawa , Joeran Beel

Significant controversy remains about what constitute correct self-locating beliefs in scenarios such as the Sleeping Beauty problem, with proponents on both the "halfer" and "thirder" sides. To attempt to settle the issue, one natural…

Other Statistics · Statistics 2017-05-19 Vincent Conitzer

This work investigates the online machine learning problem of prediction with expert advice in an adversarial setting through numerical analysis of, and experiments with, a related partial differential equation. The problem is a repeated…

Numerical Analysis · Mathematics 2025-04-09 Jeff Calder , Nadejda Drenska , Drisana Mosaphir

Gerrymandering is a practice of manipulating district boundaries and locations in order to achieve a political advantage for a particular party. Lewenberg, Lev, and Rosenschein [AAMAS 2017] initiated the algorithmic study of a…

Data Structures and Algorithms · Computer Science 2020-02-19 Eduard Eiben , Fedor V. Fomin , Fahad Panolan , Kirill Simonov

The problem of artificial precision is a major objection to any theory of vagueness based on real numbers as degrees of truth. Suppose you are willing to admit that, under sufficiently specified circumstances, a predication of "is red"…

Logic · Mathematics 2014-04-28 Vincenzo Marra

In this paper we investigate the problem of order batching for picker routing. Our approach is applicable to warehouses (storage areas) arranged in the standard rectangular grid layout, so with parallel aisles and two or more cross-aisles.…

Optimization and Control · Mathematics 2020-01-03 Cristiano Arbex Valle , John E Beasley

I study the optimal allocation of positional goods in the presence of externalities arising from consumers' concerns about relative consumption. Applications include luxury goods, priority services, education, and organizational…

Theoretical Economics · Economics 2025-10-10 Peiran Xiao

The classical Prophet Inequality arises from a fundamental problem in optimal-stopping theory. In this problem, a gambler sees a finite sequence of independent, non-negative random variables. If he stops the sequence at any time, he…

Optimization and Control · Mathematics 2019-01-10 Van-Anh Truong , Xinshang Wang

The problem of searching a polygonal region for an unpredictably moving intruder by a set of stationary guards, each carrying an orientable laser, is known as the Searchlight Scheduling Problem. Determining the computational complexity of…

Computational Geometry · Computer Science 2015-03-20 Giovanni Viglietta

We consider the distributed version of the Multiple Knapsack Problem (MKP), where $m$ items are to be distributed amongst $n$ processors, each with a knapsack. We propose different distributed approximation algorithms with a tradeoff…

Data Structures and Algorithms · Computer Science 2017-02-06 Ananth Murthy , Chandan Yeshwanth , Shrisha Rao

We investigate a variant of the so-called "Internet Shopping Problem" introduced by Blazewicz et al. (2010), where a customer wants to buy a list of products at the lowest possible total cost from shops which offer discounts when purchases…

Data Structures and Algorithms · Computer Science 2022-08-29 Laurent Bulteau , Danny Hermelin , Anthony Labarre , Stéphane Vialette

In the best choice problem with random arrivals, an unknown number $n$ of rankable items arrive at times sampled from the uniform distribution. As is well known, a real-time player can ensure stopping at the overall best item with…

Probability · Mathematics 2021-03-09 Alexander Gnedin

Many real-world tasks, from house-cleaning to cooking, can be formulated as multi-object rearrangement problems -- where an agent needs to get specific objects into appropriate goal states. For such problems, we focus on the setting that…

Robotics · Computer Science 2023-01-25 Engin Tekin , Elaheh Barati , Nitin Kamra , Ruta Desai

There are many applications in which it is desirable to order rather than classify instances. Here we consider the problem of learning how to order instances given feedback in the form of preference judgments, i.e., statements to the effect…

Machine Learning · Computer Science 2011-05-30 W. W. Cohen , R. E. Schapire , Y. Singer

In the past three decades, deductive games have become interesting from the algorithmic point of view. Deductive games are two players zero sum games of imperfect information. The first player, called "codemaker", chooses a secret code and…

Data Structures and Algorithms · Computer Science 2013-03-27 Mourad El Ouali , Volkmar Sauerland

We propose and study a variant of pliable index coding (PICOD) where receivers have preferences for their unknown messages and give each unknown message a preference ranking. We call this the preferential pliable index-coding (PPICOD)…

Information Theory · Computer Science 2023-05-17 Daniel Byrne , Lawrence Ong , Parastoo Sadeghi , Badri N. Vellambi

Collaborative recommendation is an information-filtering technique that attempts to present information items that are likely of interest to an Internet user. Traditionally, collaborative systems deal with situations with two types of…

Statistics Theory · Mathematics 2010-10-05 Gérard Biau , Benoît Cadre , Laurent Rouvière

Left, Center, Right is a popular dice game. We analyze the game using Markov chain and Monte Carlo methods. We compute the expected game length for two to eight players and determine the probability of winning for each player in the game.…

History and Overview · Mathematics 2024-10-24 Benjamin Richeson , David Richeson

We study the problem of fairly allocating a divisible resource, also known as cake cutting, with an additional requirement that the shares that different agents receive should be sufficiently separated from one another. This captures, for…

Computer Science and Game Theory · Computer Science 2022-09-20 Edith Elkind , Erel Segal-Halevi , Warut Suksompong

We introduce the idea that the P vs NP problem can have a finer structure. Given the NP complete problem of interest, the configurations space of the problem can be divided in (at least) two regions. In one region, polynomial algorithms to…

Statistical Mechanics · Physics 2026-01-28 Fabrizio Canfora , Marco Cedeno
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