Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems

Cilt: 20 Sayı: 3 8 Eylül 2016
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Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems

Öz

In this paper, a geometrical scheme is presented to show how to overcome an encountered problem arising from the use of generalized delta learning rule within competitive learning model. It is introduced a theoretical methodology for describing the quantization of data via rotating prototype vectors on hyper-spheres.
The proposed learning algorithm is tested and verified on different multidimensional datasets including a binary class dataset and two multiclass datasets from the UCI repository, and a multiclass dataset constructed by us. The proposed method is compared with some baseline learning vector quantization variants in literature for all domains. Large number of experiments verify the performance of our proposed algorithm with acceptable accuracy and macro f1 scores.

Anahtar Kelimeler

Kaynakça

  1. [1] Watanabe, S. 2009. Algebraic Geometry and Statistical Learning Theory. Cambridge Monographs on Applied and ComputationalMathematics, Cambridge University Press.
  2. [2] John, G. 1993. Geometry-Based Learning Algorithms.
  3. [3] Kim, J.H., and Park, S. 1995. The geometrical learning of binary neural networks. IEEE Transactions on Neural Networks, 6(1), 237-247.
  4. [4] Cabrelli, C., Molter, U. and Shonkwiler, R. 2000. A constructive algorithm to solve “convex recursive deletion" (CoRD) classification problems via twolayer perceptron networks. EEE Transactions on Neural Networks Learning Systems, 11(3), 811-816.
  5. [5] Wang, D. and Chaudhari, N.S. 2004. An approach for construction of Boolean neural networks based on geometrical expansion. Neurocomputing, 57, 455-461.
  6. [6] Shoujue, W. and Jiangliang, L. 2005. Geometrical learning, descriptive geometry, and biomimetic pattern recognition. Neurocomputing, 67, 9-28.
  7. [7] Bayro-Corrochano, E. and Anana-Daniel, N. 2005. MIMO SVMs for classification and regression using the geometric algebra framework. Proceedings of the International Joint Conference on Neural Networks, 895–900.
  8. [8] Zhang, D., Chan, X. and Lee, WS. 2005. Text classificitaion with kernels on the multinomial manifold. Proceedings of the 28th annual international ACM SIGIR conference on Research and development in information retrieval, 266-273.

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yayımlanma Tarihi

8 Eylül 2016

Gönderilme Tarihi

15 Haziran 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2016 Cilt: 20 Sayı: 3

Kaynak Göster

APA
Günel, K., Aşlıyan, R., & Gör, İ. (2016). Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20(3), 414-420. https://doi.org/10.19113/sdufbed.22419
AMA
1.Günel K, Aşlıyan R, Gör İ. Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2016;20(3):414-420. doi:10.19113/sdufbed.22419
Chicago
Günel, Korhan, Rıfat Aşlıyan, ve İclal Gör. 2016. “Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 (3): 414-20. https://doi.org/10.19113/sdufbed.22419.
EndNote
Günel K, Aşlıyan R, Gör İ (01 Aralık 2016) Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 3 414–420.
IEEE
[1]K. Günel, R. Aşlıyan, ve İ. Gör, “Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 20, sy 3, ss. 414–420, Ara. 2016, doi: 10.19113/sdufbed.22419.
ISNAD
Günel, Korhan - Aşlıyan, Rıfat - Gör, İclal. “Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20/3 (01 Aralık 2016): 414-420. https://doi.org/10.19113/sdufbed.22419.
JAMA
1.Günel K, Aşlıyan R, Gör İ. Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2016;20:414–420.
MLA
Günel, Korhan, vd. “Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 20, sy 3, Aralık 2016, ss. 414-20, doi:10.19113/sdufbed.22419.
Vancouver
1.Korhan Günel, Rıfat Aşlıyan, İclal Gör. Geometrical Modification of Learning Vector Quantization Method for Solving Classification Problems. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 01 Aralık 2016;20(3):414-20. doi:10.19113/sdufbed.22419

Cited By

e-ISSN :1308-6529
Linking ISSN (ISSN-L): 1300-7688

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