Resumo/Abstract: We study inverse problems F (f) = g where the data g is corrupted by so-called impulsive noise ξ which is concentrated on a small part of the observation domain. Such noise occurs for example in digital image acquisition. To reconstruct f from noisy measurements we use Tikhonov regularization where it is well-known from numerical studies that L-data fitting yields much better r...

We propose a hybrid classical-quantum approach for modeling transition probabilities in health and disability insurance. The of logistic inception is formulated as support vector regression problem. Using quantum feature map, the data are mapped to states belonging space, where associated kernel determined by inner product between states. This can be efficiently estimated on computer. conduct e...

Photometric redshifts (photo-z’s) are fundamental in galaxy surveys to address different topics, from gravitational lensing and dark matter distribution to galaxy evolution. The Kilo Degree Survey (KiDS), i.e. the ESO public survey on the VLT Survey Telescope (VST), provides the unprecedented opportunity to exploit a large galaxy dataset with an exceptional image quality and depth in the optica...

Reasoning on the Web is receiving an increasing attention because of emerging fields such as Web adaption and Semantic Web. Indeed, the advanced functionalities striven for in these fields call for reasoning capabilities. Reasoning on the Web, however, is usually done using existing techniques rarely fitting the Web. As a consequence, additional data processing like data conversion from Web for...

The energy conditions of Einstein gravity (classical general relativity) are designed to extract as much information as possible from classical general relativity without enforcing a particular equation of state for the stress-energy. This systematic avoidance of the need to specify a particular equation of state is particularly useful in a cosmological setting — since the equation of state for...

The Support Vector Machines (SVMs) had been showing a high capability of complex hyperplane representation and great generalization power. These characteristics lead to the development of more compact and less computational complex methods than the One-versus-Rest (OvR) and One-versus-One (OvO) [1] classical methods in the application of SVMs in multiclass problems. This paper proposes a new me...

Modification’s of Prony’s classical technique for estimating rate constants in exponential fitting problems have many contemporary applications. Here the consistency of Prony’s method and of related algorithms based on maximum likelihood is discussed as the number of observations n → ∞ by considering the simplest possible models for fitting sums of exponentials to observed data. Two sampling re...

We present a framework for accurate and robust extraction of parametric models of different types. It includes a mechanism that lets each model type determine its domain of applicability. The framework is general in the sense that it can be described and implemented without specifying the following components: a domain of application, a particular type of data, a set of admissible model types, ...

However, in attempting to find a suitable polynomial approximation to a general function fix), the integral occurring in equation (1.3) cannot be evaluated explicitly, and recourse has to be made to approximate methods for evaluating a„ . The most widely used method is the "curve-fitting" method described by Lanczos [1], and, in greater detail, by Clenshaw and Curtis [2]. There are two variatio...

The energy conditions of Einstein gravity (classical general relativity) are designed to extract as much information as possible from classical general relativity without enforcing a particular equation of state for the stress-energy. This systematic avoidance of the need to specify a particular equation of state is particularly useful in a cosmological setting — since the equation of state for...