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We theoretically analyze and compare the following five popular multiclass classification methods: One vs. All, All Pairs, Tree-based classifiers, Error Correcting Output Codes (ECOC) with randomly generated code matrices, and Multiclass…

Machine Learning · Computer Science 2013-02-19 Amit Daniely , Sivan Sabato , Shai Shalev Shwartz

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

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

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

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

Many of the best statistical classification algorithms are binary classifiers that can only distinguish between one of two classes. The number of possible ways of generalizing binary classification to multi-class increases exponentially…

Machine Learning · Statistics 2021-01-26 Peter Mills

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

Classification and clustering algorithms have been proved to be successful individually in different contexts. Both of them have their own advantages and limitations. For instance, although classification algorithms are more powerful than…

Machine Learning · Computer Science 2017-08-30 Tanmoy Chakraborty

Class imbalance is an intrinsic characteristic of multi-label data. Most of the labels in multi-label data sets are associated with a small number of training examples, much smaller compared to the size of the data set. Class imbalance…

Machine Learning · Computer Science 2018-11-07 Bin Liu , Grigorios Tsoumakas

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

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

One-Class Classification (OCC) is a special case of multi-class classification, where data observed during training is from a single positive class. The goal of OCC is to learn a representation and/or a classifier that enables recognition…

Computer Vision and Pattern Recognition · Computer Science 2021-01-11 Pramuditha Perera , Poojan Oza , Vishal M. Patel

In most error correction coding (ECC) frameworks, the typical error metric is the bit error rate (BER) which measures the number of bit errors. For this metric, the positions of the bits are not relevant to the decoding, and in many noise…

Signal Processing · Electrical Eng. & Systems 2021-10-11 Chai Wah Wu

SVMs were initially developed to perform binary classification; though, applications of binary classification are very limited. Most of the practical applications involve multiclass classification, especially in remote sensing land cover…

Neural and Evolutionary Computing · Computer Science 2008-02-19 Mahesh Pal

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

In this work, we propose a new optimization framework for multiclass boosting learning. In the literature, AdaBoost.MO and AdaBoost.ECC are the two successful multiclass boosting algorithms, which can use binary weak learners. We explicitly…

Machine Learning · Computer Science 2010-09-21 Zhihui Hao , Chunhua Shen , Nick Barnes , Bo Wang

One-Class Classification (OCC) has been prime concern for researchers and effectively employed in various disciplines. But, traditional methods based one-class classifiers are very time consuming due to its iterative process and various…

Machine Learning · Computer Science 2017-02-16 Chandan Gautam , Aruna Tiwari , Qian Leng

The vast majority of statistical theory on binary classification characterizes performance in terms of accuracy. However, accuracy is known in many cases to poorly reflect the practical consequences of classification error, most famously in…

Statistics Theory · Mathematics 2022-09-27 Shashank Singh , Justin Khim

How many different binary classification problems a single learning algorithm can solve on a fixed data with exactly zero or at most a given number of cross-validation errors? While the number in the former case is known to be limited by…

Machine Learning · Computer Science 2024-02-12 Tapio Pahikkala , Parisa Movahedi , Ileana Montoya , Havu Miikonen , Stephan Foldes , Antti Airola , Laszlo Major
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