Polarimetric synthetic aperture radar (PolSAR) is widely used in remote sensing and has important applications the detection of ships. Although many polarimetric detectors have been proposed, they are not well combined. Recently, a optimization filter (PDOF) was which performs most environments. In this study, novel subspace form PDOF [strict (SPDOF)] further developed based on Cauchy inequalit...

Dimension reduction provides an important tool for preprocessing large scale data sets. A possible model for dimension reduction is realized by projecting onto the non-Gaussian part of a given multivariate recording. We prove that the subspaces of such a projection are unique given that the Gaussian subspace is of maximal dimension. This result therefore guarantees that projection algorithms un...

In this study, a subspace analysis approach is proposed for the detection of spam e-mail. Spam e-mails can be described as messages that are sent for promotion, advertisement or directly disturbance purposes. We have chosen covariance based subspace analysis methods to approach the classification problem. The training and test sets used in the study are composed of HTML e-mails in English. A no...

One of the most powerful tools for solving large and sparse systems of linear algebraic equations is a class of iterative methods called Krylov subspace methods. Their significant advantages like low memory requirements and good approximation properties make them very popular, and they are widely used in applications throughout science and engineering. The use of the Krylov subspaces in iterati...

Multilinear algebra, the algebra of higher-order tensors, offers a potent mathematical framework for analyzing ensembles of images resulting from the interaction of any number of underlying factors. We present a dimensionality reduction algorithm that enables subspace analysis within the multilinear framework. This N -mode orthogonal iteration algorithm is based on a tensor decomposition known ...

In automatic music transcription, metadata extraction from recorded audio data or speaker separation in video conferencing, it is a significant prerequisite task to analyze and separate the audio signal into their original source components. In this report, I study and analyze a set of methods of the extraction of percussive instruments metadata from polyphonic music. It mainly focuses on the s...

The Nearest subspace classifier (NSS) finds an estimation of the underlying subspace within each class and assigns data points to the class that corresponds to its nearest subspace. This paper mainly studies how well NSS can be generalized to new samples. It is proved that NSS is strongly consistent under certain assumptions. For completeness, NSS is evaluated through experiments on various sim...

The increasingly popular independent component analysis (ICA) may only be applied to data following the generative ICA model in order to guarantee algorithmindependent and theoretically valid results. Subspace ICA models generalize the assumption of component independence to independence between groups of components. They are attractive candidates for dimensionality reduction methods, however a...