Adaptive Grahm-Schmidt orthogonalization for the projection-slice synthetic discriminant function filter

Vahid R. Riasati; Denis Grishin

doi:10.1117/12.720891

9 April 2007 Adaptive Grahm-Schmidt orthogonalization for the projection-slice synthetic discriminant function filter

Vahid R. Riasati, Denis Grishin

Proceedings Volume 6570, Data Mining, Intrusion Detection, Information Assurance, and Data Networks Security 2007; 65700J (2007) https://doi.org/10.1117/12.720891
Event: Defense and Security Symposium, 2007, Orlando, Florida, United States

Abstract

One of the primary reasons for using the PSDF is the inherent data dimension reduction that is achieved through the use of the projection-slice theorem, (PST). The use of the PST allows for a powerful technique to segment informational content into lower dimensional spans while simultaneously providing a complete and naturally linked data set. Shannon provides a formula for maximum information capacity in a channel that utilizes as the most efficient informational coding independent data samples, as this spreads the spectrum evenly across the channel band. This implies that independent information that represent a correlated set contains maximal information if the "key" that represents the correlated-ness of the data is known, otherwise the independent data are purely random. By using a novel Adaptive Grahm-Schmidt (AGS) procedure we form a method that identifies patterns in correlated data for the removal of the inter-dependence and thereby maximization of information content per data sample. In this work we subject the lower-dimensional data sets in the PSDF to the AGS to maximize the information content of the PSDF and share some of our findings, results, and deductions.

Citation Download Citation

Vahid R. Riasati and Denis Grishin "Adaptive Grahm-Schmidt orthogonalization for the projection-slice synthetic discriminant function filter", Proc. SPIE 6570, Data Mining, Intrusion Detection, Information Assurance, and Data Networks Security 2007, 65700J (9 April 2007); https://doi.org/10.1117/12.720891

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