institute for nuclear physics & engineering bucharest - romania m. dima collab. w/ yu....
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Institute for Nuclear Physics & Engineering
Bucharest - Romania
M. Dima
collab. w/ Yu. Pepyolyshev – JINR, Dubna
17.09.2012
IBR-2 Neutron Noise Spectra Deconvolution
Institute for Nuclear Physics & Engineering
Bucharest - Romania
Neutron NoiseMechanically 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
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 !
Institute for Nuclear Physics & Engineering
Bucharest - Romania
Pseudo-transfer function
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 / 07.07.2011
// author : M. Dima
// Inst. for Nuclear Phys. & Engr. Bucharest
// =========================================
#include <iostream>
#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
Conclusions
aiming to implement Neural Networks
use projection quantities as entries
find correlations pertaining to physics
CNCS-UEFISCDI grant PN-II-ID-PCE-2011-3-0323
NXV4, rich research program:
projection-algorithms
o Niemann, Karhunen-Loeve
THANK YOU !
deconvolution code
o IBR-2 data
data-analysis
o neutron noise, 2D stat.-info theory
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