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We study the problem of eliciting the preferences of a decision-maker through a moderate number of pairwise comparison queries to make them a high quality recommendation for a specific problem. We are motivated by applications in high…

Optimization and Control · Mathematics 2021-12-09 Phebe Vayanos , Yingxiao Ye , Duncan McElfresh , John Dickerson , Eric Rice

In a totally ordered set the notion of sorting a finite sequence is defined through a suitable permutation of the sequence's indices. In this paper we prove a simple formula that explicitly describes how the elements of a sequence are…

Discrete Mathematics · Computer Science 2013-06-03 Jens Gerlach

Online stores can present a different price to each customer. Such algorithmic personalised pricing can lead to advanced forms of price discrimination based on the characteristics and behaviour of individual consumers. We conducted two…

Computers and Society · Computer Science 2025-10-10 Joost Poort , Frederik J. Zuiderveen Borgesius

We consider an online model for recommendation systems, with each user being recommended an item at each time-step and providing 'like' or 'dislike' feedback. A latent variable model specifies the user preferences: both users and items are…

Machine Learning · Statistics 2025-04-29 Mina Karzand , Guy Bresler

We consider the problem of learning the preferences of a heterogeneous population by observing choices from an assortment of products, ads, or other offerings. Our observation model takes a form common in assortment planning applications:…

Machine Learning · Statistics 2016-06-09 Nathan Kallus , Madeleine Udell

Sorting and searching are large parts of database query processing, e.g., in the forms of index creation, index maintenance, and index lookup; and comparing pairs of keys is a substantial part of the effort in sorting and searching. We have…

Databases · Computer Science 2022-09-20 Thanh Do , Goetz Graefe

We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

Optimization and Control · Mathematics 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

Computerized document classification already orders the news articles that Apple's "News" app or Google's "personalized search" feature groups together to match a reader's interests. The invisible and therefore illegible decisions that go…

Computation and Language · Computer Science 2018-12-17 Ashley Lee , Jo Guldi , Andras Zsom

Much of the copious literature on the subject of sorting has concentrated on minimizing the number of comparisons and/or exchanges/copies. However, a more appropriate yardstick for the performance of sorting algorithms is based on the total…

Data Structures and Algorithms · Computer Science 2020-12-03 R. C. Hillyard , Yunlu Liaozheng , Sai Vineeth K. R

Sorting and hashing are two completely different concepts in computer science, and appear mutually exclusive to one another. Hashing is a search method using the data as a key to map to the location within memory, and is used for rapid…

Data Structures and Algorithms · Computer Science 2007-05-23 William F. Gilreath

Recommender system is currently widely used in many e-commerce systems, such as Amazon, eBay, and so on. It aims to help users to find items which they may be interested in. In literature, neighborhood-based collaborative filtering and…

Social and Information Networks · Computer Science 2016-08-09 Yefeng Ruan , Tzu-Chun Lin

Despite the potential impact of explanations on decision making, there is a lack of research on quantifying their effect on users' choices. This paper presents an experimental protocol for measuring the degree to which positively or…

Human-Computer Interaction · Computer Science 2023-03-17 Krisztian Balog , Filip Radlinski , Andrey Petrov

One of the most used approaches for providing recommendations in various online environments such as e-commerce is collaborative filtering. Although, this is a simple method for recommending items or services, accuracy and quality problems…

Information Retrieval · Computer Science 2017-02-07 Nikolaos Polatidis , Christos K. Georgiadis

Matching plays a vital role in the rational allocation of resources in many areas, ranging from market operation to people's daily lives. In economics, the term matching theory is coined for pairing two agents in a specific market to reach…

Social and Information Networks · Computer Science 2021-03-17 Jing Ren , Feng Xia , Xiangtai Chen , Jiaying Liu , Mingliang Hou , Ahsan Shehzad , Nargiz Sultanova , Xiangjie Kong

In practice, a ranking of objects with respect to given set of criteria is of considerable importance. However, due to lack of knowledge, information of time pressure, decision makers might not be able to provide a (crisp) ranking of…

Artificial Intelligence · Computer Science 2017-03-16 Jiří Mazurek

With the increase of order fulfillment options and business objectives taken into consideration in the deciding process, order fulfillment deciding is becoming more and more complex. For example, with the advent of ship from store retailers…

Machine Learning · Computer Science 2022-01-02 Brian Quanz , Ajay Deshpande , Dahai Xing , Xuan Liu

Sortition is based on the idea of choosing randomly selected representatives for decision making. The main properties that make sortition particularly appealing are fairness -- all the citizens can be selected with the same probability --…

Computer Science and Game Theory · Computer Science 2024-06-04 Soroush Ebadian , Evi Micha

This essay considers the special character of mathematical reasoning, and draws on observations from interactive theorem proving and the history of mathematics to clarify the nature of formal and informal mathematical language. It proposes…

History and Overview · Mathematics 2015-08-24 Jeremy Avigad

We introduce a novel choice dataset, called joint choice, in which options and menus are multidimensional. In this general setting, we define a notion of choice separability, which requires that selections from some dimensions are never…

Theoretical Economics · Economics 2025-09-09 Davide Carpentiere , Alfio Giarlotta , Angelo Petralia , Ester Sudano

While multivariate logistic regression classifiers are a great way of implementing collaborative filtering - a method of making automatic predictions about the interests of a user by collecting preferences or taste information from many…

Information Retrieval · Computer Science 2024-07-02 Arya Chakraborty