A normalized batch gradient descent optimizer is proposed to improve the first-order regular perturbation coefficients of Manakov equation, often referred as kernels. The optimization based on linear parameterization offered by and targets enhanced low-complexity models for fiber channel. We demonstrate that optimized model outperforms analytical counterpart where kernels are numerically evalua...

This paper describes a new, powerful technique of fingerprint verification based on a perturbation method. The proposed method consists of four parts. The first part performs local FFT band-pass filtering to enhance the cyclic ridge structure in respective local areas. The second part is optimal block-wise shift for preliminary matching. Then, the third part is application of GAT correlation to...

The stability of quantum systems to perturbations of the Hamiltonian is studied. This stability is quantified by the fidelity, an overlap of an ideal state obtained by the unperturbed evolution, and a perturbed state obtained by the perturbed evolution, both starting from the same initial state. Dependence of fidelity on the initial state as well as on the dynamical properties of the system is ...

The renormalization constants present in the lattice evaluation of the topolog-ical susceptibility can be non-perturbatively calculated by using the so-called heating method. We test this method for the O(3) non-linear σ-model in two dimensions. We work in a regime where perturbative calculations are exact and useful to check the values obtained from the heating method. The result of the test i...

The perturbation method is applied to numerical solution of the Lane-Emden Equation (LEE)of arbitrary index n, and the global parameters of polytropes are found as function of polytropic index n.

This study examined the effects of regular practice of Tai Chi and jogging on neuromuscular reaction indicated by muscle latency of the trunk and lower limb muscles on the unperturbated side in older people during lateral postural perturbation. A total of 42 people aged 65 or older participated in this study, and formed Tai Chi group, jogging group, and sedentary control group based on their ex...