Theory of energy exchange and conversion via four-wave mixing in a nondissipative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">χ</mml:mi></mml:mrow><mml:mrow><mml:mn /><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:mrow></mml:msup></mml:mrow></mml:math>material

Kryzhanovsky, Boris; Karapetyan, A. R.; Glushko, B.

doi:10.1103/physreva.44.6036

Cited by 12 publications

(1 citation statement)

References 10 publications

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“…In neuroinformatics the knowledge of spectra is necessary for building associative memory systems [27][28][29][30][31][32][33][60][61], developing neural nets and neural minimization algorithms [34][35][36][37][38][39][40]. This kind of knowledge is most popular in physics in research on spin-glass models [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57] and even in description of four-photon mixing in non-linear media [58][59].…”

Section: Introductionmentioning

confidence: 99%

The spectra of local minima in spin-glass models

Kryzhanovsky

Malsagov

2016

Opt. Mem. Neural Networks

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Abstract. The spectra of spin models have been investigated in computation experiments. For the Sherrington-Kirkpatrick and Edwards-Anderson models we have determined the basic spectral characteristics: the average depth of a local minimum, the spectrum width, the depth of the global minimum. The experimental data are used to build the relations between these quantities and the model dimensionality N and find their asymptotic values for N→∞.

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Section: Introductionmentioning

confidence: 99%

The spectra of local minima in spin-glass models

Kryzhanovsky

Malsagov

2016

Opt. Mem. Neural Networks

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Global Minimum Depth in Edwards-Anderson Model

Karandashev¹,

Kryzhanovsky²

2019

Engineering Applications of Neural Networks

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In the literature the most frequently cited data are quite contradictory, and there is no consensus on the global minimum value of 2D Edwards-Anderson (2D EA) Ising model. By means of computer simulations, with the help of exact polynomial Schraudolph-Kamenetsky algorithm, we examined the global minimum depth in 2D EA-type models. We found a dependence of the global minimum depth on the dimension of the problem N and obtained its asymptotic value in the limit N→∞. We believe these evaluations can be further used for examining the behavior of 2D Bayesian models often used in machine learning and image processing.

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Study of the maximum conversion efficiency of the four-wave mixing process based on the Hamiltonian approach

Yan¹,

Wang²

2012

Optik

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Theory of energy exchange and conversion via four-wave mixing in a nondissipativeχ(3)material

Cited by 12 publications

References 10 publications

The spectra of local minima in spin-glass models

The spectra of local minima in spin-glass models

Global Minimum Depth in Edwards-Anderson Model

Study of the maximum conversion efficiency of the four-wave mixing process based on the Hamiltonian approach

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