The investigation of the spin glass properties of the Hopfield neural network model

Yasar F

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The investigation of the spin glass properties of the Hopfield neural network model

机译：Hopfield神经网络模型的自旋玻璃性质研究

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In this work, the Hopfield neural network model with infinite-range interactions is simulated by using the multicanonical algorithm. All simulations and measurements are done in spin glass states of the model with discrete +/- 1 values of the random variables. Physical quantities such as the energy density, the ground-state entropy and the order parameters are evaluated at all temperatures. Our results in the spin glass region show multiple degenerate ground-states and good agreement with the replica symmetry mean field solutions.

机译：在这项工作中，使用多规范算法模拟了具有无限范围相互作用的Hopfield神经网络模型。所有模拟和测量均在模型的旋转玻璃状态下进行，其中随机变量的离散+/- 1值为离散值。在所有温度下都会评估诸如能量密度，基态熵和阶数参数之类的物理量。我们在自旋玻璃区域中的结果显示出多个简并基态，并且与复制品对称平均场解吻合良好。

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《International Journal of Modern Physics, C. Physics and Computers》 |2005年第3期|共11页
作者
Yasar F;
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正文语种 eng
中图分类物理学;
关键词
Monte Carlo; multicanonical method; Hopfield model; spin glass; neural network; PHASE;

机译：蒙特卡洛;多经典法;霍普菲尔德模型;旋转玻璃;神经网络;相位;

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专利

1. The investigation of the spin glass properties of the Hopfield neural network model [J] . Yasar F International Journal of Modern Physics, C. Physics and Computers . 2005,第3期

机译：Hopfield神经网络模型的自旋玻璃性质研究
2. Self-modeling in Hopfield Neural Networks with Continuous Activation Function [J] . Mario Zarco, Tom Froese Procedia Computer Science . 2018,第22期

机译：具有连续激活功能的Hopfield神经网络中的自建模
3. Common Nature of Learning Between Back-Propagation and Hopfield-Type Neural Networks for Generalized Matrix Inversion With Simplified Models [J] . Zhang Y., Guo D., Li Z. Neural Networks and Learning Systems, IEEE Transactions on . 2013,第4期

机译：简化模型的广义矩阵求逆与反向传播和Hopfield型神经网络学习的共同性质
4. Spin-glass Implementation of a Hopfield Neural Structure [C] . Lukasz Laskowski, Magdalena Laskowska, Jerzy Jelonkiewicz, International conference on artificial intelligence and soft computing . 2014

机译：Hopfield神经结构的自旋玻璃实现
5. Information-theoretics based genetic algorithm: Application to Hopfield's associative memory model of neural networks [D] . Arredondo, Tomas Vidal 1997

机译：基于信息论的遗传算法：在神经网络Hopfield联想记忆模型中的应用
6. Efficient modeling of vector hysteresis using a novel Hopfield neural network implementation of Stoner–Wohlfarth-like operators [O] . Amr A. Adly, Salwa K. Abd-El-Hafiz 2013

机译：使用类似于Stoner–Wohlfarth算子的新型Hopfield神经网络实现的矢量磁滞有效建模
7. Mean-field theory for a spin-glass model of neural networks: TAP free energy and paramagnetic to spin-glass transition [O] . Nakanishi, K., Takayama, H. 1997

机译：神经网络自旋玻璃模型的平均场理论：无Tap 能量和顺磁到旋转玻璃的转变
8. Optical Computing Based on the Hopfield Model for Neural Networks. [R] . Psaltis, D., Hsu, K. Y., Li, H. Y. 1989

机译：基于Hopfield模型的神经网络光学计算。

The investigation of the spin glass properties of the Hopfield neural network model

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