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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…

Artificial Intelligence · Computer Science 2023-07-24 Jinhong Wang , Yi Cheng , Jintai Chen , Tingting Chen , Danny Chen , Jian Wu

A phenomenon known as ''Neural Collapse (NC)'' in deep classification tasks, in which the penultimate-layer features and the final classifiers exhibit an extremely simple geometric structure, has recently attracted considerable attention,…

Machine Learning · Computer Science 2025-11-05 Chuang Ma , Tomoyuki Obuchi , Toshiyuki Tanaka

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.…

Machine Learning · Computer Science 2025-10-02 Ryoya Yamasaki

Discriminative learning based on convolutional neural networks (CNNs) aims to perform image restoration by learning from training examples of noisy-clean image pairs. It has become the go-to methodology for tackling image restoration and…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Junaid Malik , Serkan Kiranyaz , Moncef Gabbouj

Diffusion models have achieved impressive performance in generating high-quality and diverse synthetic data. However, their success typically assumes a class-balanced training distribution. In real-world settings, multi-class data often…

Graph Neural Networks (GNNs) has been widely used in a variety of fields because of their great potential in representing graph-structured data. However, lacking of rigorous uncertainty estimations limits their application in high-stakes.…

Machine Learning · Computer Science 2025-01-07 Ting Wang , Zhixin Zhou , Rui Luo

In computer vision, it is often observed that formulating regression problems as a classification task often yields better performance. We investigate this curious phenomenon and provide a derivation to show that classification, with the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Shihao Zhang , Linlin Yang , Michael Bi Mi , Xiaoxu Zheng , Angela Yao

Semi-supervised learning (SSL) has been widely used to learn from both a few labeled images and many unlabeled images to overcome the scarcity of labeled samples in medical image segmentation. Most current SSL-based segmentation methods use…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Xinze Li , Runlin Huang , Zhenghao Wu , Bohan Yang , Wentao Fan , Chengzhang Zhu , Weifeng Su

Contrastive learning methods enforce label distance relationships in feature space to improve representation capability for regression models. However, these methods highly depend on label information to correctly recover ordinal…

Machine Learning · Computer Science 2025-12-11 Ce Wang , Weihang Dai , Hanru Bai , Xiaomeng Li

It is a long-standing question to discover causal relations among a set of variables in many empirical sciences. Recently, Reinforcement Learning (RL) has achieved promising results in causal discovery from observational data. However,…

Machine Learning · Computer Science 2021-09-16 Xiaoqiang Wang , Yali Du , Shengyu Zhu , Liangjun Ke , Zhitang Chen , Jianye Hao , Jun Wang

Recent years have seen a surge in research on deep interpretable neural networks with decision trees as one of the most commonly incorporated tools. There are at least three advantages of using decision trees over logistic regression…

Machine Learning · Computer Science 2025-06-30 Łukasz Struski , Tomasz Danel , Marek Śmieja , Jacek Tabor , Bartosz Zieliński

The development of deep convolutional neural network architecture is critical to the improvement of image classification task performance. A lot of studies of image classification based on deep convolutional neural network focus on the…

Computer Vision and Pattern Recognition · Computer Science 2019-08-02 Ke Zhang , Xinsheng Wang , Yurong Guo , Zhenbing Zhao , Zhanyu Ma , Tony X. Han

The backpropagation algorithm remains the dominant and most successful method for training deep neural networks (DNNs). At the same time, training DNNs at scale comes at a significant computational cost and therefore a high carbon…

Machine Learning · Computer Science 2025-11-12 Sander Dalm , Joshua Offergeld , Nasir Ahmad , Marcel van Gerven

Designing optimisation algorithms that perform well in general requires experimentation on a range of diverse problems. Training neural networks is an optimisation task that has gained prominence with the recent successes of deep learning.…

Neural and Evolutionary Computing · Computer Science 2022-09-07 Katherine M. Malan , Christopher W. Cleghorn

Despite their success and widespread adoption, the opaque nature of deep neural networks (DNNs) continues to hinder trust, especially in critical applications. Current interpretability solutions often yield inconsistent or oversimplified…

Machine Learning · Computer Science 2024-10-10 Alec F. Diallo , Vaishak Belle , Paul Patras

This paper proposes a fractional order gradient method for the backward propagation of convolutional neural networks. To overcome the problem that fractional order gradient method cannot converge to real extreme point, a simplified…

Optimization and Control · Mathematics 2020-01-07 Dian Sheng , Yiheng Wei , Yuquan Chen , Yong Wang

Regression via classification (RvC) is a common method used for regression problems in deep learning, where the target variable belongs to a set of continuous values. By discretizing the target into a set of non-overlapping classes, it has…

Machine Learning · Computer Science 2022-04-11 Axel Berg , Magnus Oskarsson , Mark O'Connor

Nonlinear regression has been extensively employed in many computer vision problems (e.g., crowd counting, age estimation, affective computing). Under the umbrella of deep learning, two common solutions exist i) transforming nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Le Zhang , Zenglin Shi , Ming-Ming Cheng , Yun Liu , Jia-Wang Bian , Joey Tianyi Zhou , Guoyan Zheng , Zeng Zeng

Graph representation learning has achieved a remarkable success in many graph-based applications, such as node classification, link prediction, and community detection. These models are usually designed to preserve the vertex information at…

Social and Information Networks · Computer Science 2020-01-22 Kangfei Zhao , Yu Rong , Jeffrey Xu Yu , Junzhou Huang , Hao Zhang

Quantifying uncertainty in predictions or, more generally, estimating the posterior conditional distribution, is a core challenge in machine learning and statistics. We introduce Convex Nonparanormal Regression (CNR), a conditional…

Machine Learning · Statistics 2021-09-15 Yonatan Woodbridge , Gal Elidan , Ami Wiesel