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Ordinal regression falls between discrete-valued classification and continuous-valued regression. Ordinal target variables can be associated with ranked random variables. These random variables are known as order statistics and they are…

机器学习 · 统计学 2019-12-12 Joonas Pääkkönen

American football is unique in that offensive and defensive units typically consist of separate players who don't share the field simultaneously, which tempts one to evaluate them independently. However, a team's offensive and defensive…

应用统计 · 统计学 2025-06-04 Andrey Skripnikov , Sujit Sivadanam

Ordinal measurements are common outcomes in studies within psychology, as well as in the social and behavioral sciences. Choosing an appropriate regression model for analysing such data poses a difficult task. This paper aims to facilitate…

统计方法学 · 统计学 2026-03-03 Stefan Inerle , Markus Pauly , Moritz Berger

Ordinal regression is a classification task where classes have an order and prediction error increases the further the predicted class is from the true class. The standard approach for modeling ordinal data involves fitting parallel…

机器学习 · 计算机科学 2022-02-16 Fred Lu , Francis Ferraro , Edward Raff

Forecasting is challenging since uncertainty resulted from exogenous factors exists. This work investigates the rank position forecasting problem in car racing, which predicts the rank positions at the future laps for cars. Among the many…

机器学习 · 计算机科学 2020-10-27 Bo Peng , Jiayu Li , Selahattin Akkas , Fugang Wang , Takuya Araki , Ohno Yoshiyuki , Judy Qiu

Ordinal regression refers to classifying object instances into ordinal categories. It has been widely studied in many scenarios, such as medical disease grading, movie rating, etc. Known methods focused only on learning inter-class ordinal…

人工智能 · 计算机科学 2023-07-24 Jinhong Wang , Yi Cheng , Jintai Chen , Tingting Chen , Danny Chen , Jian Wu

Many real-world datasets are labeled with natural orders, i.e., ordinal labels. Ordinal regression is a method to predict ordinal labels that finds a wide range of applications in data-rich domains, such as natural, health and social…

机器学习 · 计算机科学 2020-04-28 Lu Wang , Dongxiao Zhu

This article is devoted to the problem of predicting the value taken by a random permutation $\Sigma$, describing the preferences of an individual over a set of numbered items $\{1,\; \ldots,\; n\}$ say, based on the observation of an…

统计理论 · 数学 2017-12-20 Stephan Clémençon , Anna Korba , Eric Sibony

Ordinal regression refers to classifying object instances into ordinal categories. Ordinal regression is crucial for applications in various areas like facial age estimation, image aesthetics assessment, and even cancer staging, due to its…

计算机视觉与模式识别 · 计算机科学 2025-03-04 Jinhong Wang , Jintai Chen , Jian Liu , Dongqi Tang , Danny Z. Chen , Jian Wu

Ranking distributions according to a stochastic order has wide applications in diverse areas. Although stochastic dominance has received much attention, convex order, particularly in general dimensions, has yet to be investigated from a…

统计方法学 · 统计学 2025-01-15 Jakwang Kim , Young-Heon Kim , Yuanlong Ruan , Andrew Warren

We present a physically-inspired model and an efficient algorithm to infer hierarchical rankings of nodes in directed networks. It assigns real-valued ranks to nodes rather than simply ordinal ranks, and it formalizes the assumption that…

物理与社会 · 物理学 2018-06-14 Caterina De Bacco , Daniel B. Larremore , Cristopher Moore

At the 2005 world championships there was considerable discussion and a formal protest in the long distance race arising from a perceived advantage obtained by some athletes running together. It is shown that a statistical model presented…

物理与社会 · 物理学 2016-09-08 Graeme J. Ackland

In 2019, Anderson et al. proposed the concept of rankability, which refers to a dataset's inherent ability to be meaningfully ranked. In this article, we give an expository review of the linear ordering problem (LOP) and then use it to…

最优化与控制 · 数学 2021-04-14 Thomas R. Cameron , Sebastian Charmot , Jonad Pulaj

As predictive models are deployed into the real world, they must increasingly contend with strategic behavior. A growing body of work on strategic classification treats this problem as a Stackelberg game: the decision-maker "leads" in the…

机器学习 · 计算机科学 2022-02-01 Tijana Zrnic , Eric Mazumdar , S. Shankar Sastry , Michael I. Jordan

Facility location games provide an abstract model of mechanism design. In such games, a mechanism takes a profile of $n$ single-peaked preferences over an interval as an input and determines the location of a facility on the interval. In…

计算机科学与博弈论 · 计算机科学 2024-10-18 Kento Yoshida , Kei Kimura , Taiki Todo , Makoto Yokoo

This paper is dedicated to a robust ordinal method for learning the preferences of a decision maker between subsets. The decision model, derived from Fishburn and LaValle (1996) and whose parameters we learn, is general enough to be…

人工智能 · 计算机科学 2023-08-08 Hugo Gilbert , Mohamed Ouaguenouni , Meltem Ozturk , Olivier Spanjaard

This paper extends the class of ordinal regression models with a structured interpretation of the problem by applying a novel treatment of encoded labels. The net effect of this is to transform the underlying problem from an ordinal…

机器学习 · 计算机科学 2019-06-03 Niall Twomey , Rafael Poyiadzi , Callum Mann , Raúl Santos-Rodríguez

The ordinal patterns of a fixed number of consecutive values in a time series is the spatial ordering of these values. Counting how often a specific ordinal pattern occurs in a time series provides important insights into the properties of…

统计理论 · 数学 2025-02-06 Annika Betken , Giorgio Micali , Johannes Schmidt-Hieber

Sex trafficking is a global epidemic. Escort websites are a primary vehicle for selling the services of such trafficking victims and thus a major driver of trafficker revenue. Many law enforcement agencies do not have the resources to…

机器学习 · 计算机科学 2020-01-14 Longshaokan Wang , Eric Laber , Yeng Saanchi , Sherrie Caltagirone

In the past decade, the use of ordinal patterns in the analysis of time series and dynamical systems has become an important and rich tool. Ordinal patterns (otherwise known as a permutation patterns) are found in time series by taking $n$…

组合数学 · 数学 2014-12-03 Sergi Elizalde , Megan Martinez
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