The classical approach to system identification is based on stochastic assumptions about the measurement error, and provides estimates that have random nature. Worst-case identification, on the other hand, only assumes the knowledge of deterministic error bounds, and establishes guaranteed estimates, thus being in principle better suited for the use in control design. However, a main limitation...

Data assimilation plays a key role in large-scale atmospheric weather forecasting, where the state of the physical system is estimated from model outputs and observations, and is then used as initial condition to produce accurate future forecasts. The Ensemble Kalman Filter (EnKF) provides a practical implementation of the statistical solution of the data assimilation problem and has gained wid...

In this work we find the shape and dimension of the solar wind transition surfaces, namely the slow (sonic), the fast magnetosonic and the Alfvén surface, as a function of heliospheric latitude using actual experimental data from Ulysses spacecraft during its first pole to pole journey. We also give the temporal variation of the radius of these surfaces using measurements from spacecraft at 1 A...

DBSCAN algorithm is a location-based clustering approach; it used to find relationships and patterns in geographical data. Because of its widespread application, several data science-based programming languages include the method as built-in function. Researchers scientists have been analyzing their study using functions. All implementations functions require user input for radius distance (i.e...

The spectral radii of refinement and subdivision operators considered on the space L2 can be estimated by using norms of their symbols. In several cases, including those arising in wavelet analysis, the exact value of the spectral radius is found. For example, if T is the unit circle and if the symbol a of a refinement operator satisfies the conditions |a(z)|2 + |a(−z)|2 = 4, z ∈ T, and a(1) = ...

In this paper we prove global convergence for first and second-order stationary points of a class of derivative-free trust-region methods for unconstrained optimization. These methods are based on the sequential minimization of quadratic (or linear) models built from evaluating the objective function at sample sets. The derivative-free models are required to satisfy Taylor-type bounds but, apar...

This document defines new attributes to facilitate Proxy Mobile IPv6 operations using the RADIUS infrastructure. The protocol defined in this document uses RADIUS-based interfaces of the mobile access gateway and the local mobility anchor with the AAA server for authentication, authorization, and policy functions. The RADIUS interactions between the mobile access gateway and the RADIUS-based AA...

In this paper we prove global convergence for first and second-order stationarity points of a class of derivative-free trust-region methods for unconstrained optimization. These methods are based on the sequential minimization of linear or quadratic models built from evaluating the objective function at sample sets. The derivative-free models are required to satisfy Taylor-type bounds but, apar...