Modelling and Simulation of Large Scale Distributed Parameter Systems by Issam Sullivan Strub-Brahimi Doctor of Philosophy in Engineering Science Civil and Environmental Engineering University of California, Berkeley Professor A. M. Bayen, Chair The research presented in this dissertation is motivated by the need for modelling, simulation and optimisation of large scale distributed parameter sy...

We study the problem of estimating the coefficients in an elliptic partial differential equation using noisy measurements of a solution to the equation. Although the unknown coefficients may vary on many scales we aim only at estimating their slowly varying parts, thus reducing the complexity of the inverse problem. However, ignoring the fine-scale fluctuations altogether introduces uncertainty...

! Guillaume Puel1 ! 1Laboratoire MSSMat (Ecole Centrale Paris/CNRS UMR8579), 
 Grande voie des vignes, 92290 Châtenay-Malabry, France ! When dealing with the numerical prediction of material fatigue, classical life estimation methods, such as those described in [1], can give poor results as far as one is interested with complex loading histories (such as a loading with a slow-evolving average) ...

In this paper some preliminary test estimators have been considered for estimating the scale parameter of Power function distribution when a point guess value about scale parameter is available. The shape parameter is assumed to be known. Comparisons with usual estimators in terms of relative efficiency have been made.

Existing vanilla algorithms for online linear optimization have O((ηR(u) + 1/η) √ T ) regret with respect to any competitor u, whereR(u) is a 1-strongly convex regularizer and η > 0 is a tuning parameter of the algorithm. For certain decision sets and regularizers, the so-called parameter-free algorithms have Õ( √ R(u)T ) regret with respect to any competitor u. Vanilla algorithm can achieve th...

Introduction Conclusions References

Uncertainty assessment for parameter estimation problems is considered. It is customary to use confidence regions or intervals to give the precision of the parameter estimates. The method most used, because of modest computational requirements, is linearized covariance analysis. Monte Carlo analysis can be used to check the validity of the linearization for a particular model, but is clearly no...

While supersymmetric extensions of the Standard Model can be fully described in terms of explicitly broken global supersymmetry, this description is only effective. Once related to spontaneous breaking in a more fundamental theory, the effective parameters translate to functions of two distinct scales, the scale of spontaneous supersymmetry breaking and the scale of its mediation to the standar...

Background Context Material fatigue is one of the key phenomena whose study is essential to design and develop modern industrial parts: many of the classical methods used in the industry, such as those described in Ref. [1], allow to estimate fatigue life through cumulative formulas. However, these latter do not take into account the history associated with the loading, and tend to give poor re...

The genome-wide recombination rate (RR) of a species is often described by one parameter, the ratio between total genetic map length (G) and physical map length (P), measured in centimorgans per megabase (cM/Mb). The value of this parameter varies greatly between species, but the cause for these differences is not entirely clear. A constraining factor of overall RR in a species, which may cause...