Asymptotic Behavior Research Papers - Academia.edu (original) (raw)

Artificial Neural Network (ANN) are simple models to mimic some essential features of the complex central nervous system. ANN models are realistic due to their inherent stochastic nature of neural computation and strong synchronicity.... more

Artificial Neural Network (ANN) are simple models to mimic some essential features of the complex central nervous system. ANN models are realistic due to their inherent stochastic nature of neural computation and strong synchronicity. Different ANN models are associated with directed and signed graphs. The present study proceeded by relaxing certain simplifying assumptions in the ANN model. Approach: It was assumed that the connected graph associated with the ANN is a multipartite directed graph whose connection comprising of four blocks
and two blocks are either both symmetric or both anti symmetric. The convergence of such network was studied in the present research with the help of Lyapunov functional. Results: Attractors (fixed points) of such ANN and also limit cycles of different orders are investigated. Bounds of transient length of the neural network were also calculated. Numerical simulation in support of the results was also depicted. Conclusion: It was shown that under synchronous updating rule such networks converge to a fixed point or to a limit cycle of period 2 or 4. The bound of transient length was discussed. Conclusions were drawn from the simulation studies carried out in support of the results.

The large claims reinsurance treaties ECOMOR and LCR are well known not to be very popular. They have been largely neglected by most reinsurers because of their technical complexity. In this paper, we derive new mathematical results... more

The large claims reinsurance treaties ECOMOR and LCR are well known not to be very popular. They have been largely neglected by most reinsurers because of their technical complexity. In this paper, we derive new mathematical results connected to asymptotic problems of these reinsurance forms. Perhaps these results can reopen the discussion on the usefulness of including the largest claims

Robust estimators of location and dispersion are often used in the elliptical model to obtain an uncontaminated and highly representative subsample by trimming the data outside an ellipsoid based in the associated Mahalanobis distance.... more

Robust estimators of location and dispersion are often used in the elliptical model to obtain an uncontaminated and highly representative subsample by trimming the data outside an ellipsoid based in the associated Mahalanobis distance. Here we analyze some one (or kkk)-step Maximum Likelihood Estimators computed on a subsample obtained with such a procedure. We introduce different models which arise naturally from the ways in which the discarded data can be treated, leading to truncated or censored likelihoods, as well as to a likelihood based on an only outliers gross errors model. Results on existence, uniqueness, robustness and asymptotic properties of the proposed estimators are included. A remarkable fact is that the proposed estimators generally keep the breakdown point of the initial (robust) estimators, but they could improve the rate of convergence of the initial estimator because our estimators always converge at rate n1/2n^{1/2}n1/2, independently of the rate of convergence of the initial estimator.

Volume 240, number 1,2 PHYSICS LETTERS B 19 April 1990 SCATTERING LENGTHS FROM FLUCTUATIONS Marco GUAGNELLI, Enzo MARINARI and Giorgio PARISI Dipartimento di Fisica, Universita di Roma "Tor Vergata", Via E. Carnevale, I00173... more

Volume 240, number 1,2 PHYSICS LETTERS B 19 April 1990 SCATTERING LENGTHS FROM FLUCTUATIONS Marco GUAGNELLI, Enzo MARINARI and Giorgio PARISI Dipartimento di Fisica, Universita di Roma "Tor Vergata", Via E. Carnevale, I00173 Rorne, ...

In this paper we investigate the longtime behavior of a dynamic unilateral contact problem between two thermoelastic beams. Under suitable mechanical and thermal boundary conditions the evolution problem is shown to possess an energy... more

In this paper we investigate the longtime behavior of a dynamic unilateral contact problem between two thermoelastic beams. Under suitable mechanical and thermal boundary conditions the evolution problem is shown to possess an energy decaying exponentially to zero, as time goes to innity.