Institute for Nuclear Physics & Engineering Bucharest - Romania M. Dima collab. w/ Yu. Pepyolyshev – JINR, Dubna 16-17.Dec.2014 Numerical Methods for IBR-2.

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Presentation transcript:

Institute for Nuclear Physics & Engineering Bucharest - Romania M. Dima collab. w/ Yu. Pepyolyshev – JINR, Dubna Dec.2014 Numerical Methods for IBR-2 Neutron Noise Spectra

Institute for Nuclear Physics & Engineering Bucharest - Romania Neutron Noise Mechanically induced reactivities modulation of neutron flux can signal anomalous regimes

Institute for Nuclear Physics & Engineering Bucharest - Romania IBR-2 Reactor

Institute for Nuclear Physics & Engineering Bucharest - Romania Pulsed regime

Institute for Nuclear Physics & Engineering Bucharest - Romania Noise Spectrum

Institute for Nuclear Physics & Engineering Bucharest - Romania Linear Correl’s ? Negligible …

Institute for Nuclear Physics & Engineering Bucharest - Romania Non-Linear Correl’s

Institute for Nuclear Physics & Engineering Bucharest - Romania 2D Non-Linear Correl’s Consecutive

Institute for Nuclear Physics & Engineering Bucharest - Romania 2D Non-Linear Correl’s Simultaneous

Institute for Nuclear Physics & Engineering Bucharest - Romania Subtracted spectra VERY powerful ! …

Institute for Nuclear Physics & Engineering Bucharest - Romania Physics residual New peaks

Institute for Nuclear Physics & Engineering Bucharest - Romania Stat. Info theory

Institute for Nuclear Physics & Engineering Bucharest - Romania Stat. Info theory   z  f 

Institute for Nuclear Physics & Engineering Bucharest - Romania C ++ Class NXV4 polynomial(f) ij applied to OPO(f), DPO(f) spectra collections multiplied bin-by-bin with C ij (f) spectra collection scalar product(f)

Institute for Nuclear Physics & Engineering Bucharest - Romania C ++ Class NXV4  Functions spectrum read-in pre-processing (LIN, LOG) add, subtr, mult, div (Strassen-Winograd) polynomial of 2 spectrae collections Gram-Schmidt stat-info Rayleigh eigen-val’s and eigen-vec’s Karhunen–Loève projection Niemann projection (to be implem.)

Institute for Nuclear Physics & Engineering Bucharest - Romania // // vector-matrix package for IBR-2 noise spectrae // code : NXV4 / // author : M. Dima // Inst. for Nuclear Phys. & Engr. Bucharest // ========================================= #include #include "mtx.hh" using namespace std ; namespace nxv4 { mtx operator^ (const vec& A, const vec& B ) {return mtx(A,B) ;} // void mtx::operator* (const mtx& A) {if (A.N == 0) return ; // Strassen-Winograd (Douglas-1994) C ++ Class NXV4

Institute for Nuclear Physics & Engineering Bucharest - Romania Relevance residual

Institute for Nuclear Physics & Engineering Bucharest - Romania Akaike Information saturation

Institute for Nuclear Physics & Engineering Bucharest - Romania Akaike Information correlated channels VERY powerful ! optimal order

Institute for Nuclear Physics & Engineering Bucharest - Romania Pseudo-transfer function

Institute for Nuclear Physics & Engineering Bucharest - Romania Baseline spline fit

Institute for Nuclear Physics & Engineering Bucharest - Romania Baseline … speed updating

Institute for Nuclear Physics & Engineering Bucharest - Romania Baseline flash summations

Institute for Nuclear Physics & Engineering Bucharest - Romania Baseline

Institute for Nuclear Physics & Engineering Bucharest - Romania Pseudo-FFT limited function memory Resonant oscillator

Institute for Nuclear Physics & Engineering Bucharest - Romania Flash pseudo-FFT flash updating

Institute for Nuclear Physics & Engineering Bucharest - Romania Pseudo-FFT

Institute for Nuclear Physics & Engineering Bucharest - Romania Conclusions  aiming to implement Neural Networks use projection quantities as entries find correlations pertaining to physics Apply for more funding – project / grant !  NXV4, rich research program: projection-algorithms o Niemann, Karhunen-Loeve deconvolution code o IBR-2 data data-analysis o neutron noise, 2D stat.-info theory Спасибо !