Extreme classification problems are multiclass and multilabel classification problems where the number of outputs is so large that straightforward strategies are neither statistically nor computationally viable. One strategy for dealing with the computational burden is via a tree decomposition of the output space. While this typically leads to training and inference that scales sublinearly with...

A comparison study of different adaptive algorithms(Least Mean Square(LMS), Normalized Least Mean Square(NLMS), Delayed Least Mean Square(DLMS), Recursive Least Square(RLS), QR decomposition based RLS(QRDRLS), Affine Projection(AP) ) using Adaptive filter is presented in this paper. The paper focuses on these adaptive algorithms which are used to reduce the noise from the signal which is corrup...

will be uncorrelated, since 〈ĉĉ〉 − 〈ĉ〉〈ĉ〉 = I. 〈ĉ〉 = Mc, so the new window function matrix will be M. However, whereas the window functions of the original power estimates (the rows of F) are always well-behaved (they are always non-negative, and are generally quite narrow, as shown in the top panel of Figure 1), there is no guarantee that the same will hold for the new window functions. As was...

Classical orthogonal polynomials and matrix polynomials being orthogonal with respect to some Hermitean positive deenite matrix of measures share several properties , e.g., three term recurrencies, Christooel{Darboux formulas; there are connections to the triangular decomposition of the (inverse) moment matrix and to eigenvalue{problems for the banded matrix of recurrence coeecients. Also, a co...

Rocco Langone 1,*, Marc Van Barel 2 and Johan A. K. Suykens 1 1 ESAT-STADIUS, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001 Leuven, Belgium; [email protected] 2 Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001 Leuven, Belgium; [email protected] * Correspondence: [email protected]; Tel.: +32-16-32-...

We give a survey on some recent developments in the spectral theory of transfer operators, also called Ruelle-Perron-Frobenius (RPF) operators, associated to expanding and mixing dynamical systems. Different methods for spectral study are presented. Topics include maximal eigenvalue of RPF operators, smooth invariant measures, ergodic theory for chain of markovian projections, equilibrium state...

In this paper, we propose a hybrid M -ary Quadrature Amplitude Modulation (M -QAM) transmission scheme that jointly uses adaptive modulation and selection combining for singular value decomposition (SVD)-based multiple-input multiple-output (MIMO) systems (AMSC-MIMO). We derive exact closed-form expressions of the performance of the proposed scheme in terms of the average spectral efficiency an...

A novel saliency detection method for maritime search and rescue using singular value decomposition to the amplitude spectrum is proposed. Color and intensity features of images are extracted and amplitude spectrums of them are obtained by Fourier transform. Singular value decomposition (SVD) is conducted on the amplitude spectrums and the saliency maps are defined as the inverse Fourier transf...

Let Ω be an open, simply connected, and bounded region in R, d ≥ 2, and assume its boundary ∂Ω is smooth. Consider solving the eigenvalue problem Lu = λu for an elliptic partial differential operator L over Ω with zero values for either Dirichlet or Neumann boundary conditions. We propose, analyze, and illustrate a ‘spectral method’ for solving numerically such an eigenvalue problem. This is an...

Currently, the automatic wheezes detection methods are based on the identification of a particular shape of peaks in the respiratory power spectrum. These techniques present a high false detection rate, caused by the presence of peaks in normal sounds similar to those characterising wheezes. In this paper, a new method for automatic wheezes detection based on the wavelet packets was developed. ...