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Erschienen in: Pattern Analysis and Applications 1/2016

01.02.2016 | Short Paper

Experimenting multiresolution analysis for identifying regions of different classification complexity

verfasst von: G. Armano, E. Tamponi

Erschienen in: Pattern Analysis and Applications | Ausgabe 1/2016

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Abstract

Systems for assessing the classification complexity of a dataset have received increasing attention in research activities on pattern recognition. These systems typically aim at quantifying the overall complexity of a domain, with the goal of comparing different datasets. In this work, we propose a method for partitioning a dataset into regions of different classification complexity, so to highlight sources of complexity inside the dataset. Experiments have been carried out on relevant datasets, proving the effectiveness of the proposed method.

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Fußnoten
1
Of course, a similar definition can also be given for the dataset \(\mathbf {D}\).
 
Literatur
1.
Zurück zum Zitat Singh S (2003) Multiresolution estimates of classification complexity. IEEE Trans Pattern Anal Mach Intell 25:1534–1539CrossRef Singh S (2003) Multiresolution estimates of classification complexity. IEEE Trans Pattern Anal Mach Intell 25:1534–1539CrossRef
2.
Zurück zum Zitat Ho TK, Basu M (2002) Complexity measures of supervised classification problems. IEEE Trans Pattern Anal Mach Intell 24:289–300CrossRef Ho TK, Basu M (2002) Complexity measures of supervised classification problems. IEEE Trans Pattern Anal Mach Intell 24:289–300CrossRef
3.
Zurück zum Zitat Ho TK, Baird HS (1994) Estimating the intrinsic difficulty of a recognition problem. In: Proceedings of the 12th International Conference on Pattern Recognition, pp. 178–183 Ho TK, Baird HS (1994) Estimating the intrinsic difficulty of a recognition problem. In: Proceedings of the 12th International Conference on Pattern Recognition, pp. 178–183
4.
Zurück zum Zitat Loftsgaardne D, Quesenberry C (1965) A non-parametric estimate of multivariate density functiond.o. loftsgaardne. Ann Math Stat 36:1049–1051 Loftsgaardne D, Quesenberry C (1965) A non-parametric estimate of multivariate density functiond.o. loftsgaardne. Ann Math Stat 36:1049–1051
5.
Zurück zum Zitat Fix E (1951) Discriminatory analysis: nonparametric discrimination: consistency properties. Technical Report. Project 21–49-004, Report Number 4, USAF School of Aviation Medicine, Randolf Field, Texas Fix E (1951) Discriminatory analysis: nonparametric discrimination: consistency properties. Technical Report. Project 21–49-004, Report Number 4, USAF School of Aviation Medicine, Randolf Field, Texas
7.
Zurück zum Zitat Alessandro S-JK, Magnani A, Boyd SP (2006) Robust fisher discriminant analysis. Advances in neural information processing systems. MIT Press, Cambridge Alessandro S-JK, Magnani A, Boyd SP (2006) Robust fisher discriminant analysis. Advances in neural information processing systems. MIT Press, Cambridge
8.
Zurück zum Zitat Ho TK, Baird HS (1998) Pattern classification with compact distribution maps. Comput Vis Image Underst 70:101–110CrossRef Ho TK, Baird HS (1998) Pattern classification with compact distribution maps. Comput Vis Image Underst 70:101–110CrossRef
9.
Zurück zum Zitat Smith F (1968) Pattern classifier design by linear programming. IEEE Trans Comput 17:367–372CrossRef Smith F (1968) Pattern classifier design by linear programming. IEEE Trans Comput 17:367–372CrossRef
10.
Zurück zum Zitat Smith S, Jain A (1988) A test to determine the multivariate normality of a data set. IEEE Trans Pattern Anal Mach Intell 10:757–761CrossRef Smith S, Jain A (1988) A test to determine the multivariate normality of a data set. IEEE Trans Pattern Anal Mach Intell 10:757–761CrossRef
11.
Zurück zum Zitat Hoekstra A, Duin RP (1996) On the nonlinearity of pattern classifiers. In: Proceedings of the 13th International Conference on Pattern Recognition (ICPR 96), pp. 271–275 Hoekstra A, Duin RP (1996) On the nonlinearity of pattern classifiers. In: Proceedings of the 13th International Conference on Pattern Recognition (ICPR 96), pp. 271–275
12.
Zurück zum Zitat Kohn A, Nakano L, Silva M (1996) A class discriminability measure based on feature space partitioning. Pattern Recognit 29(5):873–887CrossRef Kohn A, Nakano L, Silva M (1996) A class discriminability measure based on feature space partitioning. Pattern Recognit 29(5):873–887CrossRef
13.
Zurück zum Zitat Li J, Han G, Wen J, Gao X (2011) Robust tensor subspace learning for anomaly detection. Int J Mach Learn Cybern 2(2):89–98CrossRef Li J, Han G, Wen J, Gao X (2011) Robust tensor subspace learning for anomaly detection. Int J Mach Learn Cybern 2(2):89–98CrossRef
14.
Zurück zum Zitat Li N, Guo G-D, Chen L-F, Chen S (2012) Optimal subspace classification method for complex data. Int J Mach Learn Cybern 4:163–171CrossRef Li N, Guo G-D, Chen L-F, Chen S (2012) Optimal subspace classification method for complex data. Int J Mach Learn Cybern 4:163–171CrossRef
15.
Zurück zum Zitat Bernado-Mansilla E, Ho TK (2005) Domain of competence of xcs classifier system in complexity measurement space. Trans Evol Comput 9:82–104CrossRef Bernado-Mansilla E, Ho TK (2005) Domain of competence of xcs classifier system in complexity measurement space. Trans Evol Comput 9:82–104CrossRef
16.
Zurück zum Zitat Luengo J, Herrera F (2012) Shared domains of competence of approximate learning models using measures of separability of classes. Inf Sci 185(1):43–65MathSciNetCrossRef Luengo J, Herrera F (2012) Shared domains of competence of approximate learning models using measures of separability of classes. Inf Sci 185(1):43–65MathSciNetCrossRef
17.
Zurück zum Zitat Sotoca JM, Mollineda RA, Sánchez JS (2006) A meta-learning framework for pattern classification by means of data complexity measures. Intel Artif 10(29):31–38 Sotoca JM, Mollineda RA, Sánchez JS (2006) A meta-learning framework for pattern classification by means of data complexity measures. Intel Artif 10(29):31–38
18.
Zurück zum Zitat Luengo J, Fernández A, García S, Herrera F (2011) Addressing data complexity for imbalanced data sets: analysis of smote-based oversampling and evolutionary undersampling. Soft Comput 15(10):1909–1936CrossRef Luengo J, Fernández A, García S, Herrera F (2011) Addressing data complexity for imbalanced data sets: analysis of smote-based oversampling and evolutionary undersampling. Soft Comput 15(10):1909–1936CrossRef
19.
Zurück zum Zitat Sohn SY (1999) Meta analysis of classification algorithms for pattern recognition. IEEE Trans Pattern Anal Mach Intell 21:1137–1144CrossRef Sohn SY (1999) Meta analysis of classification algorithms for pattern recognition. IEEE Trans Pattern Anal Mach Intell 21:1137–1144CrossRef
20.
Zurück zum Zitat Armano G, Mascia F (2013) A novel method for partitioning feature spaces according to their inherent classification complexity. Int J Pattern Recognit Artif Intell 27(02):1350007MathSciNetCrossRef Armano G, Mascia F (2013) A novel method for partitioning feature spaces according to their inherent classification complexity. Int J Pattern Recognit Artif Intell 27(02):1350007MathSciNetCrossRef
21.
Zurück zum Zitat Alcalá-Fdez J, Fernández A, Luengo J, Derrac J, García S (2011) Keel data-mining software tool: data set repository, integration of algorithms and experimental analysis framework. Multiple-Valued Logic Soft Comput 17(2–3):255–287 Alcalá-Fdez J, Fernández A, Luengo J, Derrac J, García S (2011) Keel data-mining software tool: data set repository, integration of algorithms and experimental analysis framework. Multiple-Valued Logic Soft Comput 17(2–3):255–287
22.
Zurück zum Zitat Bache K, Lichman M (2013) UCI machine learning repository. University of California, Irvine Bache K, Lichman M (2013) UCI machine learning repository. University of California, Irvine
23.
Zurück zum Zitat Hall M, Frank E, Holmes G, Pfahringer B, Reutemann P, Witten IH (2009) The weka data mining software: an update. SIGKDD Explor Newsl 11:10–18CrossRef Hall M, Frank E, Holmes G, Pfahringer B, Reutemann P, Witten IH (2009) The weka data mining software: an update. SIGKDD Explor Newsl 11:10–18CrossRef
Metadaten
Titel
Experimenting multiresolution analysis for identifying regions of different classification complexity
verfasst von
G. Armano
E. Tamponi
Publikationsdatum
01.02.2016
Verlag
Springer London
Erschienen in
Pattern Analysis and Applications / Ausgabe 1/2016
Print ISSN: 1433-7541
Elektronische ISSN: 1433-755X
DOI
https://doi.org/10.1007/s10044-014-0446-y

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