Concept
Randomness
Related publications (348)
Signal Analysis Based on Complex Wavelet Signs
We propose a signal analysis tool based on the sign (or the phase) of complex wavelet coefficients, which we call a signature. The signature is defined as the fine-scale limit of the signs of a signal's complex wavelet coefficients. We show that the signat ...
Elsevier2017Solute strengthening in random alloys
William Curtin, Céline Varvenne, Maryam Ghazisaeidi
Random solid solution alloys are a broad class of materials that are used across the entire spectrum of engineering metals, whether as stand-alone materials (e.g. Al-57xxx alloys) or as the matrix in precipitate strengthening materials (e.g. Ni-based super ...
Elsevier2017Combining a 3D Reflex Based Neuromuscular Model with a State Estimator Based on Central Pattern Generators
Auke Ijspeert, Florin Dzeladini, Amy Roning Wu, Tycho Jan Henricus Brug
A neuromuscular model (NMC) presented by H. Geyer and extended by S. Song shows very interesting similarities with real human locomotion. The model uses a combination of reflex loops to generate stable locomotion and is able to cope with external disturban ...
Springer International Publishing Ag2017Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity
Fabio Nobile, Lorenzo Tamellini
We analyze the recent Multi-index Stochastic Collocation (MISC) method for computing statistics of the solution of a partial differential equation (PDE) with random data, where the random coefficient is parametrized by means of a countable sequence of term ...
2016A Comment on “Computational Complexity of Stochastic Programming Problems”
Daniel Kuhn, Grani Adiwena Hanasusanto, Wolfram Wiesemann
Although stochastic programming problems were always believed to be computationally challenging, this perception has only recently received a theoretical justification by the seminal work of Dyer and Stougie (Mathematical Programming A, 106(3):423–432, 200 ...
Springer Heidelberg2016MATHICSE Technical Report : Multilevel tensor approximation of PDEs with random data
Daniel Kressner, Jonas Ballani, Michael Dieter Peters
In this paper, we introduce and analyze a new low-rank multilevel strategy for the solution of random diffusion problems. Using a standard stochastic collocation scheme, we first approximate the infinite dimensional random problem by a deterministic parame ...
MATHICSE2016Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations
Alfio Quarteroni, Gianluigi Rozza, Peng Chen
In this paper we develop and analyze a multilevel weighted reduced basis method for solving stochastic optimal control problems constrained by Stokes equations. We prove the analytic regularity of the optimal solution in the probability space under certain ...
Springer Heidelberg2016