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Classification algorithms in machine learning often assume a flat label space. However, most real world data have dependencies between the labels, which can often be captured by using a hierarchy. Utilizing this relation can help develop a…

Machine Learning · Computer Science 2020-06-09 Palash Goyal , Shalini Ghosh

A large amount of research on Convolutional Neural Networks has focused on flat Classification in the multi-class domain. In the real world, many problems are naturally expressed as problems of hierarchical classification, in which the…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

In traditional supervised learning, the cross-entropy loss treats all incorrect predictions equally, ignoring the relevance or proximity of wrong labels to the correct answer. By leveraging a tree hierarchy for fine-grained labels, we…

Sound · Computer Science 2025-01-23 Haokun Tian , Stefan Lattner , Brian McFee , Charalampos Saitis

Hierarchical taxonomies are common in many contexts, and they are a very natural structure humans use to organise information. In machine learning, the family of methods that use the 'extra' information is called hierarchical…

Machine Learning · Computer Science 2024-02-01 Ines Nolasco , Dan Stowell

Many tasks in natural language processing can be viewed as multi-label classification problems. However, most of the existing models are trained with the standard cross-entropy loss function and use a fixed prediction policy (e.g., a…

Computation and Language · Computer Science 2019-09-11 Jiawei Wu , Wenhan Xiong , William Yang Wang

We introduce a novel loss function for training deep learning architectures to perform classification. It consists in minimizing the smoothness of label signals on similarity graphs built at the output of the architecture. Equivalently, it…

Machine Learning · Computer Science 2019-05-02 Myriam Bontonou , Carlos Lassance , Ghouthi Boukli Hacene , Vincent Gripon , Jian Tang , Antonio Ortega

Modern deep learning is primarily an experimental science, in which empirical advances occasionally come at the expense of probabilistic rigor. Here we focus on one such example; namely the use of the categorical cross-entropy loss to model…

Machine Learning · Statistics 2020-11-11 Elliott Gordon-Rodriguez , Gabriel Loaiza-Ganem , Geoff Pleiss , John P. Cunningham

Current contrastive learning frameworks focus on leveraging a single supervisory signal to learn representations, which limits the efficacy on unseen data and downstream tasks. In this paper, we present a hierarchical multi-label…

Computer Vision and Pattern Recognition · Computer Science 2022-04-29 Shu Zhang , Ran Xu , Caiming Xiong , Chetan Ramaiah

In hierarchical multi-label classification, a persistent challenge is enabling model predictions to reach deeper levels of the hierarchy for more detailed or fine-grained classifications. This difficulty partly arises from the natural…

Machine Learning · Computer Science 2026-02-10 Isaac Xu , Martin Gillis , Ayushi Sharma , Benjamin Misiuk , Craig J. Brown , Thomas Trappenberg

Standard cross-entropy is the default classification loss across virtually all of machine learning, yet it treats all misclassifications equally, ignoring the semantic distances that a class hierarchy encodes. We propose Hierarchy-Aware…

Machine Learning · Computer Science 2026-05-08 April Chan , Davide D'Ascenzo , Sebastiano Cultrera di Montesano

Many classification problems consider classes that form a hierarchy. Classifiers that are aware of this hierarchy may be able to make confident predictions at a coarse level despite being uncertain at the fine-grained level. While it is…

Machine Learning · Computer Science 2023-02-13 Jack Valmadre

While machine learning (ML) architectures have evolved rapidly to account for complex data, loss functions like cross-entropy remain mostly structure-agnostic in many real-world applications. However, the `class-symmetric' nature of these…

Machine Learning · Computer Science 2026-05-28 Yasser Taha , Grégoire Montavon , Nils Körber

In this paper, we focus on the separability of classes with the cross-entropy loss function for classification problems by theoretically analyzing the intra-class distance and inter-class distance (i.e. the distance between any two points…

Machine Learning · Computer Science 2019-09-17 Rudrajit Das , Subhasis Chaudhuri

Nearly all practical neural models for classification are trained using cross-entropy loss. Yet this ubiquitous choice is supported by little theoretical or empirical evidence. Recent work (Hui & Belkin, 2020) suggests that training using…

Machine Learning · Computer Science 2023-02-09 Like Hui , Mikhail Belkin , Stephen Wright

Humans perceive the world as a series of sequential events, which can be hierarchically organized with different levels of abstraction based on conceptual knowledge. Drawing inspiration from human learning behaviors, this work proposes a…

Machine Learning · Computer Science 2025-03-11 Quyen Tran , Hoang Phan , Minh Le , Tuan Truong , Dinh Phung , Linh Ngo , Thien Nguyen , Nhat Ho , Trung Le

This paper investigates the deep learning optimization problem with softmax cross-entropy loss. We propose a layer separation strategy to alleviate the strong nonconvexity encountered during training deep networks. For cross-entropy models…

Machine Learning · Computer Science 2026-04-28 Yaru Liu , Michael K. Ng , Yiqi Gu

Label hierarchies are often available apriori as part of biological taxonomy or language datasets WordNet. Several works exploit these to learn hierarchy aware features in order to improve the classifier to make semantically meaningful…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Ashima Garg , Depanshu Sani , Saket Anand

Attempts of learning from hierarchical taxonomies in computer vision have been mostly focusing on image classification. Though ways of best harvesting learning improvements from hierarchies in classification are far from being solved, there…

Computer Vision and Pattern Recognition · Computer Science 2021-07-30 Sindi Shkodrani , Yu Wang , Marco Manfredi , Nóra Baka

A common use of machine learning (ML) models is predicting the class of a sample. Object detection is an extension of classification that includes localization of the object via a bounding box within the sample. Classification, and by…

Machine Learning · Computer Science 2025-08-07 Erin Lanus , Daniel Wolodkin , Laura J. Freeman

Traditionally artificial neural networks (ANNs) are trained by minimizing the cross-entropy between a provided groundtruth delta distribution (encoded as one-hot vector) and the ANN's predictive softmax distribution. It seems, however,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Pooran Singh Negi , David chan , Mohammad Mahoor
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