We discuss various aspects of positive kernel method quantization the one-parameter groups $\tau_t \in \mbox{Aut}(P,\vartheta)$ automorphisms a $G$-principal bundle $P(G,\pi,M)$ with fixed connection form $\vartheta$ on its total space $P$. show that generator $\hat{F}$ unitary flow $U_t = e^{it \hat{F}}$ being $ is realized by generalized Kirillov-Kostant-Souriau operator whose domain consists...

It is one of the biggest challenges of multi-user distributed cooperative antenna (COOPA) systems to provide base stations (BSs) with downlink channel information for transmit filtering (precoding). The analog pilot retransmission method is efficient in terms of resources but is vulnerable to noise enhancement effects. The precoder codebook based feedback schemes are not applicable since they a...

This paper introduces two new numerical methods for integration of stiff ordinary differential equations. Following the idea of quantization based integration, i.e., replacing the time discretization by state quantization, the new methods perform first and second order backward approximations allowing to simulate stiff systems. It is shown that the new algorithms satisfy the same theoretical pr...

With pervasive applications of medical imaging in health-care, biomedical image segmentation plays a central role in quantitative analysis, clinical diagnosis, and medical intervention. Since manual annotation suffers limited reproducibility, arduous efforts, and excessive time, automatic segmentation is desired to process increasingly larger scale histopathological data. Recently, deep neural ...

The random dither quantization method enables us to achieve much better performance than the simple uniform quantization method for the design of quantized control systems. Motivated by this fact, the stochastic model predictive control method in which a performance index is minimized subject to probabilistic constraints imposed on the state variables of systems has been proposed for linear fee...

Line Spectrum Pairs (LSP) are commonly used in speech coding for spectral quantization. Usually, the LSPs are first calculated, and then quantized. When scalar quantization is used, computational saving can be achieved by direct calculation of the quantized LSPs, searching zero-crossings on the grid formed by the values of the quantization tables (quantized-domain search). In a previous publica...

In this paper we discuss two approaches to anomaly-free quantization of a two-dimensional string. The first approach is based on the canonical Dirac prescription of quantization of degenerated systems. At the second approach we ”weaken” the Dirac quantization conditions requiring the solving of first class constraints only in the sense of mean values. At both approaches there are no states with...