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New bounds on classification error rates for the error-correcting output code (ECOC) approach in machine learning are presented. These bounds have exponential decay complexity with respect to codeword length and theoretically validate the…

Machine Learning · Computer Science 2021-09-21 Hieu D. Nguyen , Mohammed Sarosh Khan , Nicholas Kaegi , Shen-Shyang Ho , Jonathan Moore , Logan Borys , Lucas Lavalva

Error Correcting Output Codes (ECOC) is a successful technique in multi-class classification, which is a core problem in Pattern Recognition and Machine Learning. A major advantage of ECOC over other methods is that the multi- class problem…

Computer Vision and Pattern Recognition · Computer Science 2016-02-22 Miguel Angel Bautista , Oriol Pujol , Fernando de la Torre , Sergio Escalera

Ensemble learning consistently improves the performance of multi-class classification through aggregating a series of base classifiers. To this end, data-independent ensemble methods like Error Correcting Output Codes (ECOC) attract…

Computer Vision and Pattern Recognition · Computer Science 2020-12-16 Hao Zhang , Joey Tianyi Zhou , Tianying Wang , Ivor W. Tsang , Rick Siow Mong Goh

Error-Correcting Output Codes (ECOCs) offer a principled approach for combining simple binary classifiers into multiclass classifiers. In this paper, we investigate the problem of designing optimal ECOCs to achieve both nominal and…

Machine Learning · Computer Science 2020-11-03 Samarth Gupta , Saurabh Amin

One important classifier ensemble for multiclass classification problems is Error-Correcting Output Codes (ECOCs). It bridges multiclass problems and binary-class classifiers by decomposing multiclass problems to a serial binary-class…

Machine Learning · Computer Science 2014-04-24 Xiao-Lei Zhang

In ECOC framework, the ternary coding strategy is widely deployed in coding process. It relabels classes with {"-1,0,1" }, where -1/1 means to assign the corresponding classes to the negative/positive group, and label 0 leads to ignore the…

Artificial Intelligence · Computer Science 2018-06-25 Kaijie Feng , Kunhong Liu , Beizhan Wang

The growing demand for highly reliable communication systems drives the research and development of algorithms that identify and correct errors during data transmission and storage. This need becomes even more critical in hard-to-access or…

Cryptography and Security · Computer Science 2025-04-17 Andrew Rafael Fritsch , César Augusto Missio Marcon

Though deep learning has been applied successfully in many scenarios, malicious inputs with human-imperceptible perturbations can make it vulnerable in real applications. This paper proposes an error-correcting neural network (ECNN) that…

Machine Learning · Computer Science 2021-05-10 Yang Song , Qiyu Kang , Wee Peng Tay

Although one-hot encoding is commonly used for multiclass classification, it is not always the most effective encoding mechanism. Error Correcting Output Codes (ECOC) address multiclass classification by mapping each class to a unique…

Machine Learning · Computer Science 2025-08-15 Che-Yu Chou , Hung-Hsuan Chen

Multiclass decomposition splits a multiclass classification problem into a series of independent binary learners and recomposes them by combining their outputs to reconstruct the multiclass classification results. Three widely-used…

Machine Learning · Computer Science 2019-08-27 Ziyu Liu , Guolin Ke , Jiang Bian , Tieyan Liu

Classification Ensemble, which uses the weighed polling of outputs, is the art of combining a set of basic classifiers for generating high-performance, robust and more stable results. This study aims to improve the results of identifying…

Computer Vision and Pattern Recognition · Computer Science 2016-04-27 Maziar Kazemi , Muhammad Yousefnezhad , Saber Nourian

In extreme classification problems, learning algorithms are required to map instances to labels from an extremely large label set. We build on a recent extreme classification framework with logarithmic time and space, and on a general…

Machine Learning · Computer Science 2018-12-13 Itay Evron , Edward Moroshko , Koby Crammer

Multi-class classification is mandatory for real world problems and one of promising techniques for multi-class classification is Error Correcting Output Code. We propose a method for constructing the Error Correcting Output Code to obtain…

Machine Learning · Computer Science 2013-12-30 Patoomsiri Songsiri , Thimaporn Phetkaew , Ryutaro Ichise , Boonserm Kijsirikul

Deep neural networks have enhanced the performance of decision making systems in many applications including image understanding, and further gains can be achieved by constructing ensembles. However, designing an ensemble of deep networks…

Machine Learning · Computer Science 2021-11-16 Sara Atito Ali Ahmed , Cemre Zor , Berrin Yanikoglu , Muhammad Awais , Josef Kittler

The imbalanced data classification is one of the most crucial tasks facing modern data analysis. Especially when combined with other difficulty factors, such as the presence of noise, overlapping class distributions, and small disjuncts,…

Machine Learning · Computer Science 2020-04-08 Michał Koziarski , Michał Woźniak , Bartosz Krawczyk

The coding matrix design plays a fundamental role in the prediction performance of the error correcting output codes (ECOC)-based multi-class task. {In many-class classification problems, e.g., fine-grained categorization, it is difficult…

Machine Learning · Computer Science 2016-03-21 Joey Tianyi Zhou , Ivor W. Tsang , Shen-Shyang Ho , Klaus-Robert Muller

Pseudo-label learning is widely used in semantic segmentation, particularly in label-scarce scenarios such as unsupervised domain adaptation (UDA) and semisupervised learning (SSL). Despite its success, this paradigm can generate erroneous…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Wangkai Li , Rui Sun , Zhaoyang Li , Tianzhu Zhang

The Ensemble of Classifiers (EoC) has been shown to be effective in improving the performance of single classifiers by combining their outputs, and one of the most important properties involved in the selection of the best EoC from a pool…

Machine Learning · Computer Science 2014-08-14 Albert H. R. Ko , Robert Sabourin , Alceu S. Britto , Luiz E. S. Oliveira

Error Correcting Output Codes, ECOC, is an output representation method capable of discovering some of the errors produced in classification tasks. This paper describes the application of ECOC to the training of feed forward neural…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Nima Hatami , Reza Ebrahimpour , Reza Ghaderi

A common method of generalizing binary to multi-class classification is the error correcting code (ECC). ECCs may be optimized in a number of ways, for instance by making them orthogonal. Here we test two types of orthogonal ECCs on seven…

Machine Learning · Statistics 2023-05-18 Peter Mills
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