Title
k-version-space multi-class classification based on k-consistency tests
Abstract
k-Version spaces were introduced in [6] to handle noisy data. They were defined as sets of k-consistent hypotheses; i.e., hypotheses consistent with all but k instances. Although k-version spaces were applied, their implementation was intractable due to the boundary-set representation. This paper argues that to classify with k-version spaces we do not need an explicit representation. Instead we need to solve a general k-consistency problem and a general k0-consistency problem. The general k-consistency problem is to test the hypothesis space for classifier that is k-consistent with the data. The general k0-consistency problem is to test the hypothesis space for classifier that is k-consistent with the data and 0-consistent with a labeled test instance. Hence, our main result is that the k-version-space classification can be (tractably) implemented if we have (tractable) k-consistency-test algorithms and (tractable) k0-consistency-test algorithms. We show how to design these algorithms for any learning algorithm in multi-class classification setting.
Year
DOI
Venue
2010
10.1007/978-3-642-15939-8_18
ECML/PKDD (3)
Keywords
Field
DocType
multi class classification,classification
Noisy data,Theoretical computer science,Artificial intelligence,Classifier (linguistics),Machine learning,Mathematics,Version space,Multiclass classification
Conference
Volume
ISSN
ISBN
6323
0302-9743
3-642-15938-9
Citations 
PageRank 
References 
1
0.35
13
Authors
3
Name
Order
Citations
PageRank
Evgueni N. Smirnov12420.38
Georgi I. Nalbantov243.56
Nikolay Nikolaev3888.85