  Drawing inspiration from the philosophy of Yi Jing, Yin-Yang pair
optimization (YYPO) has been shown to achieve competitive performance in single
objective optimizations. Besides, it has the advantage of low time complexity
when comparing to other population-based optimization. As a conceptual
extension of YYPO, we proposed the novel Yi optimization (YI) algorithm as one
of the best non-population-based optimizer. Incorporating both the harmony and
reversal concept of Yi Jing, we replace the Yin-Yang pair with a Yi-point, in
which we utilize the Levy flight to update the solution and balance both the
effort of the exploration and the exploitation in the optimization process. As
a conceptual prototype, we examine YI with IEEE CEC 2017 benchmark and compare
its performance with a Levy flight-based optimizer CV1.0, the state-of-the-art
dynamical Yin-Yang pair optimization in YYPO family and a few classical
optimizers. According to the experimental results, YI shows highly competitive
performance while keeping the low time complexity. Hence, the results of this
work have implications for enhancing meta-heuristic optimizer using the
philosophy of Yi Jing, which deserves research attention.
