International Conference on Information and Communication Technology Convergence (ICTC)
Tunneling Effect of quantization-based optimization
Jinwuk Seok, Chang-Sik Cho
Abstract
In this paper, we present an analysis of the tunneling effect in the quantization-based optimization. We prove that, when the quantization step size is an exponential decay function with respect to an iteration, the quantized objective function admits a decomposition into longitudinal and transverse fields. From the perspective of quantum mechanics, since the transverse field gives the quantum tunneling effect, quantization-based optimization can outperform a conventional thermodynamics-based optimization scheme. Experimental results for a vanilla objective function and a typical combinatorial optimization problem, such as the traveling salesman problem, demonstrate that the presented analysis is valid.