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Set-valued quantiles for multivariate distributions with respect to a general convex cone are introduced which are based on a family of (univariate) distribution functions rather than on the joint distribution function. It is shown that…

Statistics Theory · Mathematics 2017-02-14 Andreas H Hamel , Daniel Kostner

The dramatic growth in the number of application domains that naturally generate probabilistic, uncertain data has resulted in a need for efficiently supporting complex querying and decision-making over such data. In this paper, we present…

Databases · Computer Science 2010-12-17 Jian Li , Barna Saha , Amol Deshpande

Sequential decision-making problems with multiple objectives arise naturally in practice and pose unique challenges for research in decision-theoretic planning and learning, which has largely focused on single-objective settings. This…

Artificial Intelligence · Computer Science 2014-02-05 Diederik Marijn Roijers , Peter Vamplew , Shimon Whiteson , Richard Dazeley

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

Variable selection is fundamental to high-dimensional statistical modeling. Many variable selection techniques may be implemented by maximum penalized likelihood using various penalty functions. Optimizing the penalized likelihood function…

Statistics Theory · Mathematics 2007-06-13 David R. Hunter , Runze Li

We present a preference learning framework for multiple criteria sorting. We consider sorting procedures applying an additive value model with diverse types of marginal value functions (including linear, piecewise-linear, splined, and…

Machine Learning · Computer Science 2019-10-15 Jiapeng Liu , Milosz Kadzinski , Xiuwu Liao , Xiaoxin Mao , Yao Wang

We consider the problem of maximizing an unknown function over a compact and convex set using as few observations as possible. We observe that the optimization of the function essentially relies on learning the induced bipartite ranking…

Machine Learning · Statistics 2017-03-08 Cédric Malherbe , Nicolas Vayatis

Recently, Multi-Scenario Learning (MSL) is widely used in recommendation and retrieval systems in the industry because it facilitates transfer learning from different scenarios, mitigating data sparsity and reducing maintenance cost. These…

Information Retrieval · Computer Science 2023-06-30 Yu Tian , Bofang Li , Si Chen , Xubin Li , Hongbo Deng , Jian Xu , Bo Zheng , Qian Wang , Chenliang Li

The ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

Statistics Theory · Mathematics 2019-09-04 Toby Kenney

We consider the problem of learning over non-stationary ranking streams. The rankings can be interpreted as the preferences of a population and the non-stationarity means that the distribution of preferences changes over time. Our goal is…

Machine Learning · Statistics 2020-10-28 Ekhine Irurozki , Jesus Lobo , Aritz Perez , Javier Del Ser

In the fields of finance, engineering and sciences data mining/ machine learning has held an eminent position in predictive analysis. Complex algorithms and adaptive decision models have contributed towards streamlining research as well as…

Information Theory · Computer Science 2012-07-03 Indraneel Dabhade

Combining distributions is an important issue in decision theory and Bayesian inference. Logarithmic pooling is a popular method to aggregate expert opinions by using a set of weights that reflect the reliability of each information source.…

Forecasts of multivariate probability distributions are required for a variety of applications. Scoring rules enable the evaluation of forecast accuracy, and comparison between forecasting methods. We propose a theoretical framework for…

Statistics Theory · Mathematics 2026-01-30 Xiaochun Meng , James W. Taylor , Souhaib Ben Taieb , Siran Li

Multi-stage ranking pipelines have become widely used strategies in modern recommender systems, where the final stage aims to return a ranked list of items that balances a number of requirements such as user preference, diversity, novelty…

Information Retrieval · Computer Science 2023-07-19 Sirui Chen , Yuan Wang , Zijing Wen , Zhiyu Li , Changshuo Zhang , Xiao Zhang , Quan Lin , Cheng Zhu , Jun Xu

Although linear classifiers are one of the oldest methods in machine learning, they are still very popular in the machine learning community. This is due to their low computational complexity and robustness to overfitting. Consequently,…

Machine Learning · Computer Science 2022-03-29 Pawel Trajdos , Robert Burduk

As recommender systems have become more widespread and moved into areas with greater social impact, such as employment and housing, researchers have begun to seek ways to ensure fairness in the results that such systems produce. This work…

Information Retrieval · Computer Science 2020-05-28 Nasim Sonboli , Farzad Eskandanian , Robin Burke , Weiwen Liu , Bamshad Mobasher

Many machine learning tasks aim to find models that work well not for a single, but for a group of criteria, often opposing ones. One such example is imbalanced data classification, where, on the one hand, we want to achieve the best…

Machine Learning · Computer Science 2025-11-18 Szymon Wojciechowski , Michał Woźniak

Ranking is a key aspect of many applications, such as information retrieval, question answering, ad placement and recommender systems. Learning to rank has the goal of estimating a ranking model automatically from training data. In…

Information Retrieval · Computer Science 2015-02-10 Truyen Tran , Dinh Phung , Svetha Venkatesh

Instead of testing for unanimous agreement, I propose learning how broad of a consensus favors one distribution over another (of earnings, productivity, asset returns, test scores, etc.). Specifically, given a sample from each of two…

Econometrics · Economics 2024-08-27 David M. Kaplan

The goal of probabilistic prediction is to issue predictive distributions that are as informative as possible, subject to being calibrated. Despite substantial progress in the univariate setting, achieving multivariate calibration remains…

Machine Learning · Computer Science 2026-02-02 Aya Laajil , Elnura Zhalieva , Naomi Desobry , Souhaib Ben Taieb
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