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Building trees to represent or to fit distances is a critical component of phylogenetic analysis, metric embeddings, approximation algorithms, geometric graph neural nets, and the analysis of hierarchical data. Much of the previous…

Data Structures and Algorithms · Computer Science 2024-09-04 Joon-Hyeok Yim , Anna C. Gilbert

We consider classification problems in which the label space has structure. A common example is hierarchical label spaces, corresponding to the case where one label subsumes another (e.g., animal subsumes dog). But labels can also be…

Machine Learning · Computer Science 2015-12-23 Nan Ding , Jia Deng , Kevin Murphy , Hartmut Neven

We address the problem of scene classification from optical remote sensing (RS) images based on the paradigm of hierarchical metric learning. Ideally, supervised metric learning strategies learn a projection from a set of training data…

Computer Vision and Pattern Recognition · Computer Science 2018-08-03 Akashdeep Goel , Biplab Banerjee , Aleksandra Pizurica

Several real-world and abstract structures and systems are characterized by marked hierarchy to the point of being expressed as trees. Because the study of these entities often involves sampling (or discovering) the tree nodes in a specific…

Physics and Society · Physics 2022-04-18 Alexandre Benatti , Luciano da F. Costa

Modern convolutional neural networks (CNNs) are able to achieve human-level object classification accuracy on specific tasks, and currently outperform competing models in explaining complex human visual representations. However, the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Joshua C. Peterson , Paul Soulos , Aida Nematzadeh , Thomas L. Griffiths

A novel method to obtain hierarchical and overlapping clusters from network data -i.e., a set of nodes endowed with pairwise dissimilarities- is presented. The introduced method is hierarchical in the sense that it outputs a nested…

Social and Information Networks · Computer Science 2017-12-13 Fernando Gama , Santiago Segarra , Alejandro Ribeiro

Cross-entropy loss is the standard metric used to train classification models in deep learning and gradient boosting. It is well-known that this loss function fails to account for similarities between the different values of the target. We…

Machine Learning · Statistics 2022-06-16 Brian Lucena

Hierarchical clustering of networks consists in finding a tree of communities, such that lower levels of the hierarchy reveal finer-grained community structures. There are two main classes of algorithms tackling this problem. Divisive…

Social and Information Networks · Computer Science 2025-11-25 Maximilien Dreveton , Daichi Kuroda , Matthias Grossglauser , Patrick Thiran

Most of the syntax-based metrics obtain the similarity by comparing the sub-structures extracted from the trees of hypothesis and reference. These sub-structures are defined by human and can't express all the information in the trees…

Computation and Language · Computer Science 2016-11-07 Hui Yu , Xiaofeng Wu , Wenbin Jiang , Qun Liu , ShouXun Lin

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

Most classification models treat all misclassifications equally. However, different classes may be related, and these hierarchical relationships must be considered in some classification problems. These problems can be addressed by using…

Machine Learning · Computer Science 2023-01-27 Hyeongji Kim , Pekka Parviainen , Terje Berge , Ketil Malde

Hierarchical classification predicts labels across multiple levels of a taxonomy, e.g., from coarse-level 'Bird' to mid-level 'Hummingbird' to fine-level 'Green hermit', allowing flexible recognition under varying visual conditions. It is…

Computer Vision and Pattern Recognition · Computer Science 2025-04-18 Seulki Park , Youren Zhang , Stella X. Yu , Sara Beery , Jonathan Huang

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

Hierarchical classification aims to sort the object into a hierarchical structure of categories. For example, a bird can be categorized according to a three-level hierarchy of order, family, and species. Existing methods commonly address…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Renzhen Wang , De cai , Kaiwen Xiao , Xixi Jia , Xiao Han , Deyu Meng

With increasing use of digital control it is natural to view control inputs and outputs as stochastic processes assuming values over finite alphabets rather than in a Euclidean space. As control over networks becomes increasingly common,…

Systems and Control · Computer Science 2015-03-19 Mathukumalli Vidyasagar

In deep neural networks, better results can often be obtained by increasing the complexity of previously developed basic models. However, it is unclear whether there is a way to boost performance by decreasing the complexity of such models.…

Machine Learning · Computer Science 2022-06-07 Junran Wu , Shangzhe Li , Jianhao Li , Yicheng Pan , Ke Xu

The rapid advancement of large language models (LLMs) has enabled significant strides in various fields. This paper introduces a novel approach to evaluate the effectiveness of LLM embeddings in the context of inherent geometric properties.…

Computational Geometry · Computer Science 2025-12-29 Prakash Chourasia , Sarwan Ali , Murray Patterson

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

We propose a semi-supervised text classifier based on self-training using one positive and one negative property of neural networks. One of the weaknesses of self-training is the semantic drift problem, where noisy pseudo-labels accumulate…

Computation and Language · Computer Science 2024-01-02 Payam Karisani

We compare three basic kinds of discrete mathematical models used to portray phylogenetic relationships among species and higher taxa: phylogenetic trees, Hennig trees and Nelson cladograms. All three models are trees, as that term is…

Populations and Evolution · Quantitative Biology 2011-10-05 Jeremy L. Martin , E. O. Wiley