There exists a family {Bα}α<ω1 of sets of countable ordinals such that (1) maxBα = α, (2) if α ∈ Bβ then Bα ⊆ Bβ , (3) if λ ≤ α and λ is a limit ordinal then Bα ∩ λ is not in the ideal generated by the Bβ , β < α, and by the bounded subsets of λ, (4) there is a partition {An}∞n=0 of ω1 such that for every α and every n, Bα∩An is finite.

We develop a Bayesian nonparametric framework for modeling ordinal regression relationships which evolve in discrete time. The motivating application involves a key problem in fisheries research on estimating dynamically evolving relationships between age, length and maturity, the latter recorded on an ordinal scale. The methodology builds from nonparametric mixture modeling for the joint stoch...

In social play, young children can exhibit different types of participation. Some children are engaged with other children in the play activity while others are just looking. In this study, we investigated methods to automatically predict the children’s levels of participation in play settings using nonverbal vocal features (which have been shown to correlate with related phenomena such as enga...

Several applications domains like wind forecasting in meteorology and robot control in robotics demand for learning algorithms that are able to make discrete directional predictions. We refer to this problem setting as circular ordinal regression, since it shares the same properties as traditional ordinal regression, namely the need for a specific model structure and order-preserving loss funct...

This paper is devoted to the problem of learning to predict ordinal (i.e., ordered discrete) classes using classification and regression trees. We start with S-CART, a tree induction algorithm, and study various ways of transforming it into a learner for ordinal classification tasks. These algorithm variants are compared on a number of benchmark data sets to verify the relative strengths and we...

Automatically evaluating the sentiment of reviews is becoming increasingly important due to internet growth and increasing customer and business use. We hope to address the question of what is the best model for classifying a review’s text to its labels. We propose using a classifier that combines metric labelling and ordinal regression. Our results showed that metric labeling was not improved ...

In collaborative play, young children can exhibit different types of engagement. Some children are engaged with other children in the play activity while others are just looking. In this study, we investigated methods to automatically detect the children’s levels of engagement in play settings using non-verbal vocal features. Rather than labelling the level of engagement in an absolute manner, ...

In regression models for ordinal response, each covariate can be equipped with either a simple, global effect or a more flexible and complex effect which is specific to the response categories. Instead of a priori assuming one of these effect types, as is done in the majority of the literature, we argue in this paper that effect type selection shall be data-based. For this purpose, we propose a...

Objective. This article examines the black-white gap in confidence in education in the United States and how the gap has changed over time. Method. The study uses ordinal logit regression on General Social Surveys (1974–2002). Results. Whites have less confidence in education, partly because whites tend to have higher levels of education, income, and conservatism, and are more likely to be affi...