Dimensionality Reduction and Approximation via Space Extension and Multilinear Array Decomposition


Demiralp M., Demiralp E.

7th International Conference on Computational Methods in Science and Engineering (ICCMSE), Rhodes, Yunanistan, 29 Eylül - 04 Ekim 2009, cilt.1504, ss.837-840 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1504
  • Doi Numarası: 10.1063/1.4771824
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Sayfa Sayıları: ss.837-840
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Scientists often face the challenge of extracting meaningful patterns from large amounts of high dimensional data such as digital images, brain scans and stellar spectra. Previous research suggests that space extension methods such as kernel methods coupled with dimensionality reduction can extract patterns that might not be clearly evident in the original data. In this work we first increase the dimensionality of the data vector to produce a multilinear array, then we decompose this array into binary outer products via a new multilinear array decomposition method. Results from approximation of digital images are encouraging.