Authors:
Albert Benveniste,
Bernard Delyon,
Volume: 1, Page 1985 Paper number 401
Abstract:
Convergence rates and related Central Limit theorems have been the
subject of numerous papers. In 1987, a systematic link was first established
by the first author between 1/ system identification, and 2/ model
validation or testing for small changes. Similarities and relations
are discussed in the book by Benveniste, Metivier, and Priouret, part
I, chap 5, and this so-called local approach has proved very successful
in practical applications. In this paper, we first revisit and clarify
this relationship, and propose in addition new simple proofs for stationary
systems. Except for specific algorithms (e.g., regression models) estimating
the convergence rate of an identification procedure is difficult. Even
if there are general Central Limit Theorems available, building the
corresponding estimators in practice is not easy. We propose a practical
alternative, based on the relation between identification and local
testing, and we propose a bootstrap-like estimator for the convergence
rate.
Authors:
Dietmar Trummer,
Manfred Deistler,
Volume: 1, Page 1991 Paper number 402
Abstract:
In this paper observationally equivalence for so-called Jordan networks,
which are a special class of recurrent networks, is analysed. We show
this type of neural nets to belong to a wider class of mixed networks
and use the description of observationally equivalence available for
the latter class for obtaining the respective results for the first
class.
Authors:
Siep Weiland,
Andrea Gombani,
Volume: 1, Page 1996 Paper number 403
Abstract:
This paper considers a parametrization of a class of J spectral factors
of a J spectral density. The notion of a J-stable spectral factor is
introduced and it is shown how four extremal J-spectral factors can
be derived from each other. Some applications of J-spectral factorizations
in representation theory and H_(infinity) control theory are discussed.
Authors:
Laurent Baratchart,
Reinhold Küstner,
Volume: 1, Page 2001 Paper number 404
Abstract:
We prove that the output error method with white noise input, when
applied to a fractional filter with two cells, yields a model whose
poles cluster to the hyperbolic geodesic between the two singularities.
Authors:
Slim Chaabane,
Mohamed Jaoua,
Juliette Leblond,
Volume: 1, Page 2005 Paper number 405
Abstract:
We consider the inverse problem of identifying a Robin coefficient
on some part of the boundary of a smooth 2D domain from overdetermined
data available on the other part of the boundary, for Laplace equation
in the domain. Using tools from complex analysis and analytic functions
theory, we provide a constructive and convergent identification scheme,
together with a stability result for this inverse problem.
Authors:
Laurent Baratchart,
Andrea Gombani,
Martine Olivi,
Volume: 1, Page 2011 Paper number 406
Abstract:
Since many years now Surface Acoustic Wave filters have been used in
electronic devices; nevertheless, some physical constraints make the
optimal tuning an interesting mathematical problem. We investigate
some aspects of this problem and its relation to the well-known Schur
parameters which naturally arise due to the presence of internal reflectors.
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