Title :
Ising model calculation using PDM neural network hardware: Boltzmann statistical mechanics embedded in the hardware
Author :
Yasunaga, Moritoshi ; Hirai, Yuzo
Author_Institution :
Inst. of Inf. Sci. & Electron., Tsukuba Univ., Ibaraki, Japan
Abstract :
We have proposed the network configuration for the Ising model calculation using a pulse-density-modulating (PDM) neural network hardware. The hardware consists of 54 asynchronous digital neurons with full interconnections. One logical spin in the Ising model is composed of two physical neuron circuits. We have analyzed the computation results of the hardware and it was demonstrated that the statistical behavior of the hardware was subject to Boltzmann statistical mechanics. Utilizing this intrinsic dynamics, we calculated the magnetization and phase-transfer temperature of the Ising model without any programs and additional circuits, and the results closely agreed with theoretical ones
Keywords :
Ising model; digital integrated circuits; neural chips; statistical mechanics; Boltzmann statistical mechanics; Ising model; asynchronous digital neurons; intrinsic dynamics; logical spin; magnetization; network configuration; phase-transfer temperature; pulse-density-modulating neural network hardware; Circuit analysis; Clocks; Counting circuits; Electronic mail; Integrated circuit interconnections; Magnetic circuits; Magnetization; Neural network hardware; Neurons; Temperature;
Conference_Titel :
Neural Networks,1997., International Conference on
Conference_Location :
Houston, TX
Print_ISBN :
0-7803-4122-8
DOI :
10.1109/ICNN.1997.618071
