Institute for Nuclear Physics & Engineering Bucharest - Romania M. Dima collab. w/ Yu. Pepyolyshev – JINR, Dubna 17.09.2012 IBR-2 Neutron Noise Spectra.

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

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Bucharest - Romania

Pulsed regime

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Bucharest - Romania

Noise Spectrum

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Bucharest - Romania

Linear Correl’s ?

Negligible …

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Bucharest - Romania

Non-Linear Correl’s

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2D Non-Linear Correl’s

Consecutive

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2D Non-Linear Correl’s

Simultaneous

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Subtracted spectra

VERY powerful !

…

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Physics residual

New peaks

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Stat. Info theory

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Stat. Info theory

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Bucharest - Romania

Relevance residual

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Akaike Information

saturation

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Akaike Information

correlated channels

VERY powerful !

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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