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Ordinal data are often seen in real applications. Regular multicategory classification methods are not designed for this data type and a more proper treatment is needed. We consider a framework of ordinal classification which pools the…

机器学习 · 统计学 2015-12-22 Xingye Qiao

This paper proposes a new mixed-integer programming (MIP) formulation to optimize split rule selection in the decision tree induction process, and develops an efficient search algorithm that is able to solve practical instances of the MIP…

机器学习 · 计算机科学 2022-05-31 Yanchao Liu

Vanilla CNNs, as uncalibrated classifiers, suffer from classifying out-of-distribution (OOD) samples nearly as confidently as in-distribution samples. To tackle this challenge, some recent works have demonstrated the gains of leveraging…

机器学习 · 计算机科学 2020-11-20 Mahdieh Abbasi , Changjian Shui , Arezoo Rajabi , Christian Gagne , Rakesh Bobba

Decision trees and their ensembles are popular in machine learning as easy-to-understand models. Several techniques have been proposed in the literature for learning tree-based classifiers, with different techniques working well for data…

机器学习 · 计算机科学 2025-05-20 Maria-Florina Balcan , Dravyansh Sharma

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

In this work, we propose a novel node splitting method for regression trees and incorporate it into the regression forest framework. Unlike traditional binary splitting, where the splitting rule is selected from a predefined set of binary…

计算机视觉与模式识别 · 计算机科学 2014-07-16 Kota Hara , Rama Chellappa

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…

最优化与控制 · 数学 2025-12-01 Gennaro Auricchio , Adelaide Emma Bernardelli , Paolo Giudici , Giuseppe Toscani

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…

Conditional independence (CI) tests underlie many approaches to model testing and structure learning in causal inference. Most existing CI tests for categorical and ordinal data stratify the sample by the conditioning variables, perform…

机器学习 · 统计学 2023-07-06 Ankur Ankan , Johannes Textor

Incomplete pairwise comparison matrices offer a natural way of expressing preferences in decision making processes. Although ordinal information is crucial, there is a bias in the literature: cardinal models dominate. Ordinal models usually…

最优化与控制 · 数学 2020-12-15 Luca Faramondi , Gabriele Oliva , Sándor Bozóki

Decision diagrams for classification have some notable advantages over decision trees, as their internal connections can be determined at training time and their width is not bound to grow exponentially with their depth. Accordingly,…

机器学习 · 计算机科学 2022-05-31 Alexandre M. Florio , Pedro Martins , Maximilian Schiffer , Thiago Serra , Thibaut Vidal

Ordinal classification models assign higher penalties to predictions further away from the true class. As a result, they are appropriate for relevant diagnostic tasks like disease progression prediction or medical image grading. The…

计算机视觉与模式识别 · 计算机科学 2023-09-19 Adrian Galdran

Oblique decision trees have attracted attention due to their potential for improved classification performance over traditional axis-aligned decision trees. However, methods that rely on exhaustive search to find oblique splits face…

机器学习 · 计算机科学 2025-05-09 Andrew D. Laack

In ordinal classification, misclassifying neighboring ranks is common, yet the consequences of these errors are not the same. For example, misclassifying benign tumor categories is less consequential, compared to an error at the…

计算机视觉与模式识别 · 计算机科学 2026-01-13 Dileepa Pitawela , Gustavo Carneiro , Hsiang-Ting Chen

Ordinary differential equation (ODE) is widely used in modeling biological and physical processes in science. In this article, we propose a new reproducing kernel-based approach for estimation and inference of ODE given noisy observations.…

统计方法学 · 统计学 2021-10-26 Xiaowu Dai , Lexin Li

Ordinal regression (OR, also called ordinal classification) is classification of ordinal data, in which the underlying target variable is categorical and considered to have a natural ordinal relation for the underlying explanatory variable.…

机器学习 · 计算机科学 2025-10-02 Ryoya Yamasaki

A desirable open world recognition (OWR) system requires performing three tasks: (1) Open set recognition (OSR), i.e., classifying the known (classes seen during training) and rejecting the unknown (unseen$/$novel classes) online; (2)…

计算机视觉与模式识别 · 计算机科学 2023-08-15 Fulin Gao , Weimin Zhong , Zhixing Cao , Xin Peng , Zhi Li

Given a distance $D$ on a finite set $X$ with $n$ elements, it is interesting to understand how the ranking $R_x = z_1,z_2,\dots,z_n$ obtained by ordering the elements in $X$ according to increasing distance $D(x,z_i)$ from $x$, varies with…

离散数学 · 计算机科学 2019-10-23 Vincent Moulton , Andreas Spillner

The paper proposes new second-order accuracy metrics for scoring or rating models, which show the target preference of the model, it is better to diagnose good objects or better to diagnose bad ones for a constant generally accepted…

风险管理 · 定量金融 2023-01-19 M. V. Pomazanov

In pool-based active learning, the learner is given an unlabeled data set and aims to efficiently learn the unknown hypothesis by querying the labels of the data points. This can be formulated as the classical Optimal Decision Tree (ODT)…

机器学习 · 计算机科学 2024-08-01 Su Jia , Fatemeh Navidi , Viswanath Nagarajan , R. Ravi