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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

The classification of multi-class microarray datasets is a hard task because of the small samples size in each class and the heavy overlaps among classes. To effectively solve these problems, we propose novel Error Correcting Output Code…

Machine Learning · Computer Science 2018-07-10 Mengxin Sun , Kunhong Liu , Qingqi Hong , Beizhan Wang

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

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

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

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

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

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

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

In statistical classification and machine learning, classification error is an important performance measure, which is minimized by the Bayes decision rule. In practice, the unknown true distribution is usually replaced with a model…

Machine Learning · Computer Science 2025-01-28 Zijian Yang , Vahe Eminyan , Ralf Schlüter , Hermann Ney

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

We consider a neural network (NN) that may experience memory faults and computational errors. In this paper, we propose a novel real-number-based error correction code (ECC) capable of detecting and correcting both memory errors and…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Ziqing Li , Myung Cho , Qiutong Jin , Weiyu Xu

Neural network ensembles have been studied extensively in the context of adversarial robustness and most ensemble-based approaches remain vulnerable to adaptive attacks. In this paper, we investigate the robustness of Error-Correcting…

Machine Learning · Computer Science 2023-03-07 Thomas Philippon , Christian Gagné

Error-correcting codes (ECC) are used to reduce multiclass classification tasks to multiple binary classification subproblems. In ECC, classes are represented by the rows of a binary matrix, corresponding to codewords in a codebook.…

Machine Learning · Computer Science 2023-02-13 Itay Evron , Ophir Onn , Tamar Weiss Orzech , Hai Azeroual , Daniel Soudry

Consider the problem of identifying a massive number of bees, uniquely labeled with barcodes, using noisy measurements. We formally introduce this `bee-identification problem', define its error exponent, and derive efficiently computable…

Information Theory · Computer Science 2019-06-05 Anshoo Tandon , Vincent Y. F. Tan , Lav R. Varshney

A variety of different performance metrics are commonly used in the machine learning literature for the evaluation of classification systems. Some of the most common ones for measuring quality of hard decisions are standard and balanced…

Machine Learning · Computer Science 2023-09-22 Luciana Ferrer

Traditional error-correcting codes (ECCs) assume a fixed message length, but many scenarios involve ongoing or indefinite transmissions where the message length is not known in advance. For example, when streaming a video, the user should…

Data Structures and Algorithms · Computer Science 2025-04-09 Klim Efremenko , Or Zamir

The use of Reinforcement Learning in real-world scenarios is strongly limited by issues of scale. Most RL learning algorithms are unable to deal with problems composed of hundreds or sometimes even dozens of possible actions, and therefore…

Machine Learning · Computer Science 2012-03-02 Gabriel Dulac-Arnold , Ludovic Denoyer , Philippe Preux , Patrick Gallinari

This article studies the achievable guarantees on the error rates of certain learning algorithms, with particular focus on refining logarithmic factors. Many of the results are based on a general technique for obtaining bounds on the error…

Machine Learning · Computer Science 2016-09-13 Steve Hanneke
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