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Object ranking is an important problem in the realm of preference learning. On the basis of training data in the form of a set of rankings of objects, which are typically represented as feature vectors, the goal is to learn a ranking…

Machine Learning · Statistics 2018-12-07 Karlson Pfannschmidt , Pritha Gupta , Eyke Hüllermeier

We analyze combinatorial optimization problems with ordinal, i.e., non-additive, objective functions that assign categories (like good, medium and bad) rather than cost coefficients to the elements of feasible solutions. We review different…

Optimization and Control · Mathematics 2022-04-06 Kathrin Klamroth , Michael Stiglmayr , Julia Sudhoff

We consider the problem of learning an unknown partition of an $n$ element universe using rank queries. Such queries take as input a subset of the universe and return the number of parts of the partition it intersects. We give a simple…

Data Structures and Algorithms · Computer Science 2024-09-23 Deeparnab Chakrabarty , Hang Liao

A new class of general exponential ranking models is introduced which we label angle-based models for ranking data. A consensus score vector is assumed, which assigns scores to a set of items, where the scores reflect a consensus view of…

Methodology · Statistics 2017-12-27 Hang Xu , Mayer Alvo , Philip L. H. Yu

In search and advertisement ranking, it is often required to simultaneously maximize multiple objectives. For example, the objectives can correspond to multiple intents of a search query, or in the context of advertising, they can be…

Data Structures and Algorithms · Computer Science 2024-10-17 Nikhil R. Devanur , Sivakanth Gopi

Comparing the ranking of candidates by different voters is an important topic in social and information science with a high relevance from the point of view of practical applications. In general, ties and pairs of incomparable candidates…

Applications · Statistics 2016-01-25 Gergely Tibély , Péter Pollner , Gergely Palla

We consider the problem of probably approximately correct (PAC) ranking $n$ items by adaptively eliciting subset-wise preference feedback. At each round, the learner chooses a subset of $k$ items and observes stochastic feedback indicating…

Machine Learning · Computer Science 2019-03-06 Aadirupa Saha , Aditya Gopalan

Items from a database are often ranked based on a combination of multiple criteria. A user may have the flexibility to accept combinations that weigh these criteria differently, within limits. On the other hand, this choice of weights can…

Databases · Computer Science 2023-04-27 Abolfazl Asudeh , H. V. Jagadish , Julia Stoyanovich , Gautam Das

Rank aggregation aims to combine the preference rankings of a number of alternatives from different voters into a single consensus ranking. As a useful model for a variety of practical applications, however, it is a computationally…

Neural and Evolutionary Computing · Computer Science 2022-01-12 Yangming Zhou , Jin-Kao Hao , Zhen Li , Fred Glover

The Bin Packing Problem involves efficiently packing items into a limited number of bins without exceeding their capacity. In this paper, we try to answer a specific question in this field. Mathematically the combinatorial optimization…

General Mathematics · Mathematics 2025-08-25 Angshuman Robin Goswami

In the unidimensional unfolding model, given m objects in general position there arise 1+m(m-1)/2 rankings. The set of rankings is called the ranking pattern of the m given objects. By changing these m objects, we can generate various…

Combinatorics · Mathematics 2007-07-11 H. Kamiya , P. Orlik , A. Takemura , H. Terao

Relative worst order analysis is a supplement or alternative to competitive analysis which has been shown to give results more in accordance with observed behavior of online algorithms for a range of different online problems. The…

Data Structures and Algorithms · Computer Science 2015-03-17 Martin R. Ehmsen , Jens S. Kohrt , Kim S. Larsen

Argumentation is a process of evaluating and comparing a set of arguments. A way to compare them consists in using a ranking-based semantics which rank-order arguments from the most to the least acceptable ones. Recently, a number of such…

Artificial Intelligence · Computer Science 2016-02-03 Elise Bonzon , Jérôme Delobelle , Sébastien Konieczny , Nicolas Maudet

Uncertainty arises naturally inmany application domains due to, e.g., data entry errors and ambiguity in data cleaning. Prior work in incomplete and probabilistic databases has investigated the semantics and efficient evaluation of ranking…

Databases · Computer Science 2023-05-04 Su Feng , Boris Glavic , Oliver Kennedy

Sequence optimization, where the items in a list are ordered to maximize some reward has many applications such as web advertisement placement, search, and control libraries in robotics. Previous work in sequence optimization produces a…

Artificial Intelligence · Computer Science 2012-02-10 Debadeepta Dey , Tian Yu Liu , Martial Hebert , J. Andrew Bagnell

Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

Artificial Intelligence · Computer Science 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

Explaining to users why some items are recommended is critical, as it can help users to make better decisions, increase their satisfaction, and gain their trust in recommender systems (RS). However, existing explainable RS usually consider…

Information Retrieval · Computer Science 2022-10-25 Lei Li , Yongfeng Zhang , Li Chen

We consider the problem of counting the number of possible sets of rankings (called ranking patterns) generated by unfolding models of codimension one. We express the ranking patterns as slices of the braid arrangement and show that all…

Combinatorics · Mathematics 2011-06-10 Hidehiko Kamiya , Akimichi Takemura , Hiroaki Terao

The bipartite graph is a ubiquitous data structure that can model the relationship between two entity types: for instance, users and items, queries and webpages. In this paper, we study the problem of ranking vertices of a bipartite graph,…

Information Retrieval · Computer Science 2017-08-16 Xiangnan He , Ming Gao , Min-Yen Kan , Dingxian Wang

Machine learning-driven rankings, where individuals (or items) are ranked in response to a query, mediate search exposure or attention in a variety of safety-critical settings. Thus, it is important to ensure that such rankings are fair.…

Machine Learning · Computer Science 2025-02-18 Aparna Balagopalan , Kai Wang , Olawale Salaudeen , Asia Biega , Marzyeh Ghassemi
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