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Keywords
(8)
Bayes Rule
Classification Error
Decision Rule
Fuzzy Model
Fuzzy Number
Global Optimization
Pattern Recognition
Statistical Independence
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Classification error in Bayes multistage recognition task with fuzzy observations
Classification error in Bayes multistage recognition task with fuzzy observations,10.1007/s1004400801439,Pattern Analysis and Applications,Robert B
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Classification error in Bayes multistage recognition task with fuzzy observations
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Citations: 6
)
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Robert Burduk
The paper considers the problem of
classification error
in multistage pattern recognition. This model of classification is based primarily on the
Bayes rule
and secondarily on the notion of fuzzy numbers. In adopting a probabilityfuzzy model two concepts of hierarchical rules are proposed. In the first approach the local criterion that denote the probabilities of misclassification for particular nodes of a tree is considered. In the second approach the global optimal strategy that minimises the mean probability of misclassification on the whole multistage recognition process is considered. A probability of misclassifications is derived for a multiclass hierarchical classifier under the assumption that the features at different nodes of the tree are classconditionally statistically independent, and we have fuzzy information on object features instead of exact information. Numerical example of this difference concludes the work.
Journal:
Pattern Analysis and Applications  PAA
, vol. 13, no. 1, pp. 8591, 2010
DOI:
10.1007/s1004400801439
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Citation Context
(5)
...Many paper present the aspect of fuzzy and imprecise information in pattern recognition [3], [
4
], [11], [12], [13]...
...and the expected values are as follows: μ1 =[ 0 , 0, 0] ,μ 2 =[ 0 , 4, 0] ,μ 3 = [
4
, 0, 0] ,μ 4 =[ 4 , 0, 4]. In experiments, the following sets of fuzzy numbers were used:...
Robert Burduk
.
Randomness and Fuzziness in Bayes Multistage Classifier
...Many papers present the aspect of the fuzzy and imprecise information in the pattern recognition [3], [
4
], [14], [15], [16]...
...⎠ . similar to [
4
]. This is the exact difference between the probability of misclassification for the fuzzy ���� (Ψ ∗ ) and crisp data ���� (Ψ ∗ ) in Bayes optimal classifier...
Robert Burduk
,
et al.
Some characteristics of an error in the twoclass problem with fuzzy o...
...We consider the problem of classification for the case in which the observations of the features are represented by the non fuzzy or fuzzy sets [
11
]...
Robert Burduk
.
CostsSensitive Classification in Multistage Classifier with Fuzzy Obs...
...Some studies pertaining to bounds on the probability of error in fuzzy concept are given in [
3
], [9], [12], [11]...
...⎠ . similarly as in [
3
]. The element of �...
Robert Burduk
.
A Partition of Feature Space Based on Information Energy in Classifica...
...Recently health– and bioinformatics are one of the most vital fields for introducing new ideas and technologies, such as machine learning[3] or hybrid methods [
5
]...
Bartosz Krawczyk
.
Classifier Committee Based on Feature Selection Method for Obstructive...
References
(18)
Lower Bounds for Bayes Error Estimation
(
Citations: 24
)
András Antos
,
Luc Devroye
,
László Györfi
Journal:
IEEE Transactions on Pattern Analysis and Machine Intelligence  PAMI
, vol. 21, no. 7, pp. 643645, 1999
Arbitrarily Tight Upper and Lower Bounds on the Bayesian Probability of Error
(
Citations: 23
)
Hadar I. Aviitzhak
,
Thanh A. Diep
Journal:
IEEE Transactions on Pattern Analysis and Machine Intelligence  PAMI
, vol. 18, no. 1, pp. 8991, 1996
Statistical Decision Theory and Bayesian Analysis
(
Citations: 1584
)
J. O Berger
Published in 1980.
Twostage binary classifier with fuzzyvalued loss function
(
Citations: 7
)
Robert Burduk
,
Marek Kurzynski
Journal:
Pattern Analysis and Applications  PAA
, vol. 9, no. 4, pp. 353358, 2006
Bayesian estimation in forest surveys when samples or prior information are fuzzy
(
Citations: 14
)
G.Z. Gertner
,
H. Zhu
Journal:
Fuzzy Sets and Systems  FSS
, vol. 77, no. 3, pp. 277290, 1996
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Citations
(6)
Randomness and Fuzziness in Bayes Multistage Classifier
(
Citations: 1
)
Robert Burduk
Published in 2010.
Some characteristics of an error in the twoclass problem with fuzzy observations
Robert Burduk
,
BAYES CLASSIFIER
Conference:
Intelligent Systems Design and Applications  ISDA
, pp. 10011004, 2010
CostsSensitive Classification in Multistage Classifier with Fuzzy Observations of Object Features
(
Citations: 1
)
Robert Burduk
Imprecise information in Bayes classifier
Robert Burduk
Journal:
Pattern Analysis and Applications  PAA
, pp. 17
A Partition of Feature Space Based on Information Energy in Classification with Fuzzy Observations
Robert Burduk