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The aim of ordinal classification is to predict the ordered labels of the output from a set of observed inputs. Interval-valued data refers to data in the form of intervals. For the first time, interval-valued data and interval-valued…

Methodology · Statistics 2023-11-06 Aleix Alcacer , Marina Martínez-Garcia , Irene Epifanio

Despite the widespread use of ordinal measures in HCI, such as Likert-items, there is little consensus among HCI researchers on the statistical methods used for analysing such data. Both parametric and non-parametric methods have been…

Methodology · Statistics 2026-02-24 Brandon Victor Syiem , Eduardo Velloso

Order is one of the main instruments to measure the relationship between objects in (empirical) data. However, compared to methods that use numerical properties of objects, the amount of ordinal methods developed is rather small. One reason…

Artificial Intelligence · Computer Science 2023-12-29 Gerd Stumme , Dominik Dürrschnabel , Tom Hanika

Ordinal data analysis is an interesting direction in machine learning. It mainly deals with data for which only the relationships `$<$', `$=$', `$>$' between pairs of points are known. We do an attempt of formalizing structures behind…

General Topology · Mathematics 2024-12-24 Karsten Keller , Evgeniy Petrov

Classification of ordinal data is one of the most important tasks of relation learning. In this thesis a novel framework for ordered classes is proposed. The technique reduces the problem of classifying ordered classes to the standard…

Artificial Intelligence · Computer Science 2007-05-23 Jaime S. Cardoso

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…

Machine Learning · Computer Science 2022-02-16 Fred Lu , Francis Ferraro , Edward Raff

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

Researchers in the behavioral and social sciences use linear discriminant analysis (LDA) for predictions of group membership (classification) and for identifying the variables most relevant to group separation among a set of continuous…

Methodology · Statistics 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

This paper presents and analyzes an approach to cluster-based inference for dependent data. The primary setting considered here is with spatially indexed data in which the dependence structure of observed random variables is characterized…

Statistics Theory · Mathematics 2022-11-16 Jianfei Cao , Christian Hansen , Damian Kozbur , Lucciano Villacorta

Intensive longitudinal (IL) data are increasingly prevalent in psychological science, coinciding with technological advancements that make it simple to deploy study designs such as daily diary and ecological momentary assessments. IL data…

Methodology · Statistics 2025-01-08 Teague R. Henry , Lindley R. Slipetz , Ami Falk , Jiaxing Qiu , Meng Chen

Social science researchers are generally accustomed to treating ordinal variables as though they are continuous. In this paper, we consider how identification constraints in ordinal factor analysis can mimic the treatment of ordinal…

Methodology · Statistics 2026-01-09 Edgar C. Merkle , Sonja D. Winter , Ellen Fitzsimmons

In Ordinal Classification tasks, items have to be assigned to classes that have a relative ordering, such as positive, neutral, negative in sentiment analysis. Remarkably, the most popular evaluation metrics for ordinal classification tasks…

Computation and Language · Computer Science 2022-02-22 Enrique Amigó , Julio Gonzalo , Stefano Mizzaro , Jorge Carrillo-de-Albornoz

Clustering is a popular machine learning technique for data mining that can process and analyze datasets to automatically reveal sample distribution patterns. Since the ubiquitous categorical data naturally lack a well-defined metric space…

Machine Learning · Computer Science 2025-09-01 Yiqun Zhang , Mingjie Zhao , Hong Jia , Yang Lu , Mengke Li , Yiu-ming Cheung

Evaluating the reliability of machine learning classifications remains a fundamental challenge in Artificial Intelligence (AI), particularly when the target variable is multidimensional. Classification variables can be expressed by means of…

Optimization and Control · Mathematics 2025-12-01 Gennaro Auricchio , Adelaide Emma Bernardelli , Paolo Giudici , Giuseppe Toscani

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

How can we assess the reliability of a dataset without access to ground truth? We introduce the problem of reliability scoring for datasets collected from potentially strategic sources. The true data are unobserved, but we see outcomes of…

Machine Learning · Computer Science 2025-10-21 Yiling Chen , Shi Feng , Paul Kattuman , Fang-Yi Yu

We propose a method for variable selection and basis learning for high-dimensional classification with ordinal responses. The proposed method extends sparse multiclass linear discriminant analysis, with the aim of identifying not only the…

Methodology · Statistics 2025-02-17 Minwoo Kim , Sangil Han , Jeongyoun Ahn , Sungkyu Jung

In social sciences, studies are often based on questionnaires asking participants to express ordered responses several times over a study period. We present a model-based clustering algorithm for such longitudinal ordinal data. Assuming…

Methodology · Statistics 2024-01-29 Francesco Amato , Julien Jacques , Isabelle Prim-Allaz

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…

Machine Learning · Computer Science 2019-06-03 Niall Twomey , Rafael Poyiadzi , Callum Mann , Raúl Santos-Rodríguez

Image ranking is to rank images based on some known ranked images. In this paper, we propose an improved linear ordinal distance metric learning approach based on the linear distance metric learning model. By decomposing the distance metric…

Machine Learning · Computer Science 2019-02-28 Panpan Yu , Qingna Li
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