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An alternative stochastic formulation for the point reactor
, Article Annals of Nuclear Energy ; Vol. 63, issue , 2014 , pp. 691-695 ; ISSN: 03064549 ; Vosoughi, N ; Sharif University of Technology
Abstract
The stochastic behavior of a point reactor is modeled with a system of Ito stochastic differential equations. This new approach does not require computing the square root of a matrix which is a great computational advantage. Moreover, the derivation procedure clearly demonstrates the mathematical approximations involved in the final formulation. Three numerical benchmarks show the accuracy of this model in predicting the mean and variance of the neutron and precursor population in a point reactor
Robust-SL0 for stable sparse representation in noisy settings
, Article 2009 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2009, Taipei, 19 April 2009 through 24 April 2009 ; 2009 , Pages 3433-3436 ; 15206149 (ISSN); 9781424423545 (ISBN) ; Babaie Zadeh, M ; Jutten, C ; Abrishami Moghaddam, H ; Sharif University of Technology
2009
Abstract
In the last few years, we have witnessed an explosion in applications of sparse representation, the majority of which share the need for finding sparse solutions of underdetermined systems of linear equations (USLE's). Based on recently proposed smoothed ℓ0-norm (SL0), we develop a noise-tolerant algorithm for sparse representation, namely Robust-SL0, enjoying the same computational advantages of SL0, while demonstrating remarkable robustness against noise. The proposed algorithm is developed by adopting the corresponding optimization problem for noisy settings, followed by theoreticallyjustified approximation to reduce the complexity. Stability properties of Robust-SL0 are rigorously...