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Companies survey their customers to measure their satisfaction levels with the company and its services. The received responses are crucial as they allow companies to assess their respective performances and find ways to make needed…

Econometrics · Economics 2020-10-27 Naftali Cohen , Simran Lamba , Prashant Reddy

Reward modeling is crucial for aligning large language models with human preferences, yet current approaches lack a principled mathematical framework for leveraging ordinal preference data. When human annotators provide graded preferences…

Machine Learning · Computer Science 2026-03-04 Amirhossein Afsharrad , Ruida Zhou , Luca Viano , Sanjay Lall , Mohammad Ghavamzadeh

Items in many datasets can be arranged to a natural order. Such orders are useful since they can provide new knowledge about the data and may ease further data exploration and visualization. Our goal in this paper is to define a…

Data Structures and Algorithms · Computer Science 2019-02-11 Nikolaj Tatti

Comparing alternatives in pairs is a well-known method of ranking creation. Experts are asked to perform a series of binary comparisons and then, using mathematical methods, the final ranking is prepared. As experts conduct the individual…

Discrete Mathematics · Computer Science 2018-12-12 Konrad Kułakowski

Stochastic orders are very useful tool to compare the lifetimes of two coherent systems. We show that, under certain conditions, a coherent system of used components performs better (worse) than a used coherent system with respect to…

Applications · Statistics 2016-01-20 Nil Kamal Hazra , Asok K. Nanda

In responding to rating questions, an individual may give answers either according to his/her knowledge/awareness or to his/her level of indecision/uncertainty, typically driven by a response style. As ignoring this dual behaviour may lead…

Methodology · Statistics 2021-04-08 Roberto Colombi , Sabrina Giordano , Anna Gottard , Maria Iannario

The performance of a number of different measures of nonlinearity in a time series is compared numerically. Their power to distinguish noisy chaotic data from linear stochastic surrogates is determined by Monte Carlo simulation for a number…

chao-dyn · Physics 2009-10-31 Thomas Schreiber , Andreas Schmitz

In certain complex optimization tasks, it becomes necessary to use multiple measures to characterize the performance of different algorithms. This paper presents a method that combines ordinal effect sizes with Pareto dominance to analyze…

Neural and Evolutionary Computing · Computer Science 2018-06-08 Eivind Samuelsen , Kyrre Glette

Learning a reward model (RM) from human preferences has been an important component in aligning large language models (LLMs). The canonical setup of learning RMs from pairwise preference data is rooted in the classic Bradley-Terry (BT)…

Machine Learning · Computer Science 2024-11-21 Shang Liu , Yu Pan , Guanting Chen , Xiaocheng Li

Most popular strategies to capture subjective judgments from humans involve the construction of a unidimensional relative measurement scale, representing order preferences or judgments about a set of objects or conditions. This information…

Applications · Statistics 2017-12-18 Maria Perez-Ortiz , Rafal K. Mantiuk

We initiate the study of fairness for ordinal regression. We adapt two fairness notions previously considered in fair ranking and propose a strategy for training a predictor that is approximately fair according to either notion. Our…

Our goal is a mechanism for efficiently assigning scalar ratings to each of a large set of elements. For example, "what percent positive or negative is this product review?" When sample sizes are small, prior work has advocated for methods…

Machine Learning · Computer Science 2024-08-20 Xu Han , Felix Yu , Joao Sedoc , Benjamin Van Durme

There is some disagreement on whether Likert scale data should be treated as ordinal or continuous. This paper treats Likert data as ordinal, uses non-parametric hypothesis testing, and clustering to validate those variables that have…

Computers and Society · Computer Science 2020-11-20 Matthew Norris

Modern online platforms rely on effective rating systems to learn about items. We consider the optimal design of rating systems that collect binary feedback after transactions. We make three contributions. First, we formalize the…

Machine Learning · Computer Science 2019-04-09 Nikhil Garg , Ramesh Johari

Ordinal data is widely prevalent in clinical and other domains, yet there is a lack of both modern, machine-learning based methods and publicly available software to address it. In this paper, we present a model-agnostic method of ordinal…

Machine Learning · Computer Science 2026-03-19 Noam H. Rotenberg , Andreia V. Faria , Brian Caffo

An ordinal classification problem is one in which the target variable takes values on an ordinal scale. Nowadays, there are many of these problems associated with real-world tasks where it is crucial to accurately classify the extreme…

This study introduces the "Grade Score", a novel metric designed to evaluate the consistency and fairness of Large Language Models (LLMs) when used as multiple-choice judges with respect to order bias and choice consistency. The Grade Score…

Artificial Intelligence · Computer Science 2024-06-24 Dmitri Iourovitski

Ordinal peer grading has been proposed as a simple and scalable solution for computing reliable information about student performance in massive open online courses. The idea is to outsource the grading task to the students themselves as…

Artificial Intelligence · Computer Science 2020-04-09 Ioannis Caragiannis , George A. Krimpas , Alexandros A. Voudouris

Many outcomes of interest in the social and health sciences, as well as in modern applications in computational social science and experimentation on social media platforms, are ordinal and do not have a meaningful scale. Causal analyses…

Methodology · Statistics 2015-01-07 Alexander Volfovsky , Edoardo M. Airoldi , Donald B. Rubin

The goal of Ordinal Regression is to find a rule that ranks items from a given set. Several learning algorithms to solve this prediction problem build an ensemble of binary classifiers. Ranking by Projecting uses interdependent binary…

Machine Learning · Computer Science 2019-11-27 Ruy Luiz Milidiú , Rafael Henrique Santos Rocha