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We propose Top-N-Rank, a novel family of list-wise Learning-to-Rank models for reliably recommending the N top-ranked items. The proposed models optimize a variant of the widely used discounted cumulative gain (DCG) objective function which…

Information Retrieval · Computer Science 2018-12-20 Junjie Liang , Jinlong Hu , Shoubin Dong , Vasant Honavar

Providing recommendations that are both relevant and diverse is a key consideration of modern recommender systems. Optimizing both of these measures presents a fundamental trade-off, as higher diversity typically comes at the cost of…

Information Retrieval · Computer Science 2024-08-08 Erica Coppolillo , Giuseppe Manco , Aristides Gionis

Submodular functions are an important class of functions in combinatorial optimization which satisfy the natural properties of decreasing marginal costs. The study of these functions has led to strong structural properties with applications…

Multiagent Systems · Computer Science 2009-11-13 Gagan Goel , Pushkar Tripathi , Lei Wang

Which ads should we display in sponsored search in order to maximize our revenue? How should we dynamically rank information sources to maximize value of information? These applications exhibit strong diminishing returns: Selection of…

Machine Learning · Computer Science 2009-08-07 Daniel Golovin , Andreas Krause , Matthew Streeter

As automatic optimization techniques find their way into industrial applications, the behavior of many complex systems is determined by some form of planner picking the right actions to optimize a given objective function. In many cases,…

Neural and Evolutionary Computing · Computer Science 2018-10-31 Thomas Gabor , Lenz Belzner , Thomy Phan , Kyrill Schmid

A central problem in business concerns the optimal allocation of limited resources to a set of available tasks, where the payoff of these tasks is inherently uncertain. In credit card fraud detection, for instance, a bank can only assign a…

Machine Learning · Computer Science 2022-02-10 Toon Vanderschueren , Bart Baesens , Tim Verdonck , Wouter Verbeke

In a probabilistic reformulation of a combinatorial problem, we often face an optimization over a hypercube, which corresponds to the Bernoulli probability parameter for each binary variable in the primal problem. The combinatorial nature…

Machine Learning · Computer Science 2026-02-17 Thanawat Sornwanee

We introduce a novel re-ranking model that aims to augment the functionality of standard search engines to support classroom search activities for children (ages 6 to 11). This model extends the known listwise learning-to-rank framework by…

Information Retrieval · Computer Science 2023-08-30 Garrett Allen , Katherine Landau Wright , Jerry Alan Fails , Casey Kennington , Maria Soledad Pera

We consider learning of submodular functions from data. These functions are important in machine learning and have a wide range of applications, e.g. data summarization, feature selection and active learning. Despite their combinatorial…

Machine Learning · Statistics 2018-06-18 Sebastian Tschiatschek , Aytunc Sahin , Andreas Krause

We consider the problem of minimising functions represented as a difference of lattice submodular functions. We propose analogues to the SupSub, SubSup and ModMod routines for lattice submodular functions. We show that our…

Data Structures and Algorithms · Computer Science 2019-06-03 Conor McMeel , Panos Parpas

Recently a majorization method for optimizing partition functions of log-linear models was proposed alongside a novel quadratic variational upper-bound. In the batch setting, it outperformed state-of-the-art first- and second-order…

Machine Learning · Computer Science 2013-09-24 Anna Choromanska , Tony Jebara

Recommendation systems capable of providing diverse sets of results are a focus of increasing importance, with motivations ranging from fairness to novelty and other aspects of optimizing user experience. One form of diversity of recent…

Data Structures and Algorithms · Computer Science 2024-07-15 Jon Kleinberg , Emily Ryu , Éva Tardos

In this paper, we propose new listwise learning-to-rank models that mitigate the shortcomings of existing ones. Existing listwise learning-to-rank models are generally derived from the classical Plackett-Luce model, which has three major…

Information Retrieval · Computer Science 2020-01-24 Xiaofeng Zhu , Diego Klabjan

We extend Robust Optimization to fractional programming, where both the objective and the constraints contain uncertain parameters. Earlier work did not consider uncertainty in both the objective and the constraints, or did not use Robust…

Optimization and Control · Mathematics 2015-08-21 Bram L. Gorissen

Optimization problems involving minimization of a rank-one convex function over constraints modeling restrictions on the support of the decision variables emerge in various machine learning applications. These problems are often modeled…

Optimization and Control · Mathematics 2023-11-29 Soroosh Shafiee , Fatma Kılınç-Karzan

Ranked search results have become the main mechanism by which we find content, products, places, and people online. Thus their ordering contributes not only to the satisfaction of the searcher, but also to career and business opportunities,…

Information Retrieval · Computer Science 2020-05-28 Meike Zehlike , Carlos Castillo

We develop an algorithm to train individually fair learning-to-rank (LTR) models. The proposed approach ensures items from minority groups appear alongside similar items from majority groups. This notion of fair ranking is based on the…

Machine Learning · Statistics 2021-03-23 Amanda Bower , Hamid Eftekhari , Mikhail Yurochkin , Yuekai Sun

Cardinality constraints in optimization are commonly of $L^0$-type, and they lead to sparsely supported optimizers. An efficient way of dealing with these constraints algorithmically, when the objective functional is convex, is…

Optimization and Control · Mathematics 2026-02-26 Bastian Dittrich , Evelyn Herberg , Roland Herzog , Georg Müller

The Reinforcement Learning field is strong on achievements and weak on reapplication; a computer playing GO at a super-human level is still terrible at Tic-Tac-Toe. This paper asks whether the method of training networks improves their…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Brad Windsor , Brandon O'Shea , Mengxi Wu

The performance of penalized likelihood approaches depends profoundly on the selection of the tuning parameter; however, there is no commonly agreed-upon criterion for choosing the tuning parameter. Moreover, penalized likelihood estimation…

Methodology · Statistics 2018-05-09 Yang Liu , Peng Wang