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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 (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

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

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

In communication and storage systems, error correction codes (ECCs) are pivotal in ensuring data reliability. As deep learning's applicability has broadened across diverse domains, there is a growing research focus on neural network-based…

Machine Learning · Computer Science 2023-08-28 Seong-Joon Park , Hee-Youl Kwak , Sang-Hyo Kim , Sunghwan Kim , Yongjune Kim , Jong-Seon No

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

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

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

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

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

Multiclass learning problems involve finding a definition for an unknown function f(x) whose range is a discrete set containing k &gt 2 values (i.e., k ``classes''). The definition is acquired by studying collections of training examples of…

Artificial Intelligence · Computer Science 2014-11-17 T. G. Dietterich , G. Bakiri

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 this paper, we investigate an artificial-intelligence (AI) driven approach to design error correction codes (ECC). Classic error correction code was designed upon coding theory that typically defines code properties (e.g., hamming…

Information Theory · Computer Science 2019-10-31 Lingchen Huang , Huazi Zhang , Rong Li , Yiqun Ge , Jun Wang

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

Error Correction Codes (ECC) are fundamental to reliable digital communication, yet designing neural decoders that are both accurate and computationally efficient remains challenging. Recent denoising diffusion decoders achieve…

Machine Learning · Computer Science 2026-02-18 Haoyu Lei , Chin Wa Lau , Kaiwen Zhou , Nian Guo , Farzan Farnia

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

Error correction codes (ECC) are crucial for ensuring reliable information transmission in communication systems. Choukroun & Wolf (2022b) recently introduced the Error Correction Code Transformer (ECCT), which has demonstrated promising…

Machine Learning · Computer Science 2024-10-10 Matan Levy , Yoni Choukroun , Lior Wolf

With the success of transformer architectures across diverse applications, the error correction code transformer (ECCT) has gained significant attention for its superior decoding performance. In spite of its advantages, the error floor…

Information Theory · Computer Science 2025-07-16 Taewoo Park , Seong-Joon Park , Hee-Youl Kwak , Sang-Hyo Kim , Yongjune Kim
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