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Modern large-scale statistical models require to estimate thousands to millions of parameters. This is often accomplished by iterative algorithms such as gradient descent, projected gradient descent or their accelerated versions. What are…

Machine Learning · Statistics 2020-03-04 Michael Celentano , Andrea Montanari , Yuchen Wu

In recent times, deep neural networks achieved outstanding predictive performance on various classification and pattern recognition tasks. However, many real-world prediction problems have ordinal response variables, and this ordering…

Machine Learning · Computer Science 2023-06-28 Xintong Shi , Wenzhi Cao , Sebastian Raschka

Ordinal regression (OR) is classification of ordinal data in which the underlying categorical target variable has a natural ordinal relation for the underlying explanatory variable. For $K$-class OR tasks, threshold methods learn a…

Machine Learning · Computer Science 2024-05-22 Ryoya Yamasaki , Toshiyuki Tanaka

As the post-training of large language models (LLMs) advances from instruction-following to complex reasoning tasks, understanding how different data affect finetuning dynamics remains largely unexplored. In this paper, we present a…

Machine Learning · Computer Science 2026-05-12 Ming Li , Yanhong Li , Ziyue Li , Tianyi Zhou

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

The use of neural networks in safety-critical systems requires safe and robust models, due to the existence of adversarial attacks. Knowing the minimal adversarial perturbation of any input x, or, equivalently, knowing the distance of x…

Machine Learning · Computer Science 2022-09-12 Fabio Brau , Giulio Rossolini , Alessandro Biondi , Giorgio Buttazzo

The selection of the best classification algorithm for a given dataset is a very widespread problem. It is also a complex one, in the sense it requires to make several important methodological choices. Among them, in this work we focus on…

Machine Learning · Computer Science 2012-07-18 Vincent Labatut , Hocine Cherifi

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

Machine Learning · Computer Science 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

Rank-order relational data, in which each actor ranks the others according to some criterion, often arise from sociometric measurements of judgment (e.g., self-reported interpersonal interaction) or preference (e.g., relative liking). We…

Methodology · Statistics 2018-04-11 Pavel N. Krivitsky , Carter T. Butts

This article proposes a powerful scheme to monitor a large number of categorical data streams with heterogeneous parameters or nature. The data streams considered may be either nominal with a number of attribute levels or ordinal with some…

Methodology · Statistics 2021-12-17 Kaizong Bai , Jian Li

We introduce an approach which allows detecting causal relationships between variables for which the time evolution is available. Causality is assessed by a variational scheme based on the Information Imbalance of distance ranks, a…

Methodology · Statistics 2024-05-07 Vittorio Del Tatto , Gianfranco Fortunato , Domenica Bueti , Alessandro Laio

Image ordinal classification refers to predicting a discrete target value which carries ordering correlation among image categories. The limited size of labeled ordinal data renders modern deep learning approaches easy to overfit. To tackle…

Computer Vision and Pattern Recognition · Computer Science 2018-05-09 Chao Zhang , Ce Zhu , Jimin Xiao , Xun Xu , Yipeng Liu

Reward models are crucial for aligning large language models (LLMs) with human values and intentions. Existing approaches follow either Generative (GRMs) or Discriminative (DRMs) paradigms, yet both suffer from limitations: GRMs typically…

Computation and Language · Computer Science 2026-03-03 Longze Chen , Lu Wang , Renke Shan , Ze Gong , Run Luo , Jiaming Li , Jing Luo , Qiyao Wang , Min Yang

Integrating the outputs of multiple classifiers via combiners or meta-learners has led to substantial improvements in several difficult pattern recognition problems. In the typical setting investigated till now, each classifier is trained…

Machine Learning · Computer Science 2007-05-23 Kagan Tumer , Joydeep Ghosh

Ordinal regression is an important type of learning, which has properties of both classification and regression. Here we describe a simple and effective approach to adapt a traditional neural network to learn ordinal categories. Our…

Machine Learning · Computer Science 2007-05-23 Jianlin Cheng

The goal of ordinal embedding is to represent items as points in a low-dimensional Euclidean space given a set of constraints in the form of distance comparisons like "item $i$ is closer to item $j$ than item $k$". Ordinal constraints like…

Machine Learning · Statistics 2016-06-24 Lalit Jain , Kevin Jamieson , Robert Nowak

Ordinal regression refers to classifying object instances into ordinal categories. Ordinal regression is crucial for applications in various areas like facial age estimation, image aesthetics assessment, and even cancer staging, due to its…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Jinhong Wang , Jintai Chen , Jian Liu , Dongqi Tang , Danny Z. Chen , Jian Wu

Ordinal Classification (OC) addresses those classification tasks where the labels exhibit a natural order. Unlike nominal classification, which treats all classes as mutually exclusive and unordered, OC takes the ordinal relationship into…

Objective: Accurate probability estimates are essential for the safe deployment of medical image segmentation models in clinical decision-making. However, modern deep segmentation networks are often poorly calibrated, a problem exacerbated…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Meritxell Riera-Marín , Javier García López , Júlia Rodríguez-Comas , Miguel A. González Ballester , Adrian Galdran

Background Study individuals may face repeated events overtime. However, there is no consensus around learning approaches to use in a high-dimensional framework for survival data (when the number of variables exceeds the number of…

Methodology · Statistics 2022-03-30 Juliette Murris , Anais Charles-Nelson , Audrey Lavenu , Sandrine Katsahian