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 Optimal Linear Representations of Images Under Diverse Criteria. Geometric Tools for Finding Linear Projections
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Optimal Linear Representations of Images Under Diverse Criteria. Geometric Tools for Finding Linear Projections

автор Evgenia R. издательство Книга по Требованию Информационные технологии в экономике
Cтраниц 128        мягкая обложка       
Аннотация:We demonstrate these results using several image datasets, including natural images and facial images. The main idea is to formulate a problem of optimization on a Grassmann or a Stiefel manifold, and to use differential geometry of the underlying space to construct optimization algorithms. Image analysis often requires dimension reduction before statistical analysis, in order to apply sophisticated procedures. This book should be useful for professionals, researches and graduate students in Image Analysis field. Although some criteria have analytical solutions, the remaining ones require numerical approaches. We present geometric tools for finding linear projections that optimize a given criterion for a given data set. Purely deterministic updates lead to local solutions, and addition of random components allows for stochastic gradient searches that eventually lead to global solutions. Motivated by eventual applications, a variety of criteria have been proposed: reconstruction error, class separation, non-Gaussianity using kurtosis, sparseness, mutual information, recognition of objects, and their combinations.
Автор: Evgenia R.
Издательство: Книга по Требованию
Год:2009
Цена:
2415 руб
Нет в наличии
Поиск: Optimal Linear Representations of Images Under Diverse Criteria. Geometric Tools for Finding Linear Projections
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
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