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

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

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

4. Institute for Nuclear Physics & Engineering Bucharest - Romania Pulsed regime

5. Institute for Nuclear Physics & Engineering Bucharest - Romania Noise Spectrum

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

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

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

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

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

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

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

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

14. 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)

15. 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.)

16. Institute for Nuclear Physics & Engineering Bucharest - Romania // ----------------------------------------------------------------------- // vector-matrix package for IBR-2 noise spectrae // code : NXV4 / 07.07.2011 // 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

17. Institute for Nuclear Physics & Engineering Bucharest - Romania Relevance residual

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

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

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

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

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

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

24. Institute for Nuclear Physics & Engineering Bucharest - Romania Baseline

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

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

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

28. 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 !