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.
Approach and landing accidents (ALAs) have resulted in a significant number of hull losses worldwide, aside from runway excursion, hard landing, landing short. Technologies (e.g., instrument landing system) and procedures (e.g., stabilized approach criteria) have been developed to reduce ALA risks. In this paper, we propose a data-driven method to learn and interpret flight's 4D approach and landing parameters to facilitate comprehensible and actionable insights of landing dynamics for aircrew and air traffic controller (ATCO) in real-time. Specifically, we develop a tunnel Gaussian process (TGP) model to gain an insight into the landing dynamics of aircraft using advanced surface movement guidance and control system (A-SMGCS) data, which then indicates the stability of flight. TGP hybridizes the strengths of sparse variational Gaussian process and polar Gaussian process to learn from a large amount of data in cylindrical coordinates. We examine TGP qualitatively and quantitatively by synthesizing two complex trajectory datasets. Empirically, TGP reconstructed the structure of the synthesized trajectories. When applied to operational A-SMGCS data, TGP provides the probabilistic description of landing dynamics and interpretable 4D tunnel views of approach and landing parameters. The 4D tunnel views can facilitate the analysis of procedure adherence and augment existing aircrew and ATCO's display during the approach and landing procedures, enabling necessary corrective actions. The proposed TGP model can also provide insights and aid the design of landing procedures in complex runway configurations such as parallel approach. Moreover, the extension of TGP model to the next generation of landing systems (e.g., GNSS landing system) is straight-forward. The interactive visualization of our findings are available at https://simkuangoh.github.io/TunnelGP/.