We introduce a novel semi-supervised version of the least squares classifier. This implicitly constrained least squares (ICLS) classifier minimizes the squared loss on the labeled data among the set of parameters implied by all possible labelings of the unlabeled data. Unlike other discriminative semi-supervised methods, our approach does not introduce explicit additional assumptions into the o...

The algebraic polynomial interpolation on uniformly distributed nodes is affected by the Runge phenomenon, also when the function to be interpolated is analytic. Among all techniques that have been proposed to defeat this phenomenon, there is the mock-Chebyshev interpolation which is an interpolation made on a subset of the given nodes which elements mimic as well as possible the Chebyshev-Loba...

Abstract We analyze statistical features of the ‘optimization landscape’ in a random version one simplest constrained optimization problems least-square type: finding best approximation for solution system M linear equations N unknowns: ( k , x ) = b 1, …, on -sphere 2 . treat both -component vectors and parameters as independent mean zero real Gaussian variables. First, we derive exact express...

To characterize color values measured by color devices (e.g., scanners, color copiers, and color cameras) in a deviceindependent fashion these values must be transformed to colorimetric tristimulus values. The measured RGB 3-vectors are not a linear transformation away from such colorimetric vectors, however, but still the best transformation between these two data sets, or between RGB values m...

Abstract In this paper we consider the problem of approximation definite integrals on finite intervals for integrand functions showing some kind “pathological” behavior, e.g. “nearly” singular functions, highly oscillating weakly etc. particular, introduce and study a product rule based equally spaced nodes constrained mock-Chebyshev least squares operator. Like other polynomial or rational met...

in recent years, wavelet packet modulation ofdm (wpm-ofdm) signals have been introduced for radar applications. these signals have important properties such as inherent high range resolution and high resistance of radar system against jamming reception. this paper investigates the problem of designing these family of signals according to the following criteria: constrained maximization of the d...