Kernel method based on non-linear coherent states in quantum feature space

Abstract

In this paper, by mapping datasets to a set of non-linear coherent states, the process of encoding inputs in quantum states as a non-linear feature map is re-interpreted. As a result of the fact that the Radial Basis Function is recovered when data is mapped to a complex Hilbert state represented by coherent states, non-linear coherent states can be considered as a natural generalisation of the associated kernels. In this paper, as an example of kernels based on non-linear coherent states, we propose kernel functions based on generalized hypergeometric functions, as orthogonal polynomial functions. The suggested kernel is implemented with the support vector machine on two well known datasets (make circles, and make moons) and outperforms the baselines, even when the level of noise is high. In addition, we study the impact of the geometrical properties of the feature space, obtained by the non-linear coherent states, on the SVM classification task, by considering the Fubini-Study metric of the associated coherent states.

A GHKNN model based on the physicochemical property extraction method to identify SNARE proteins

“…Traditional biological experiments have the disadvantage of long lead times and high costs. Machine learning and data mining have ushered in a new era of protein prediction ( Xiong et al, 2012 ; Cao et al, 2014 ; Wei et al, 2014 ; Chen et al, 2016 ; Ding et al, 2016 ; Wei et al, 2016 ; Zou et al, 2016 ; Zeng et al, 2017a ; Zhang et al, 2017 ; Xiong et al, 2018a ; Bu et al, 2018 ; Liao et al, 2018 ; Wei et al, 2018 ; Cao et al, 2019 ; Chao et al, 2019 ; Chen et al, 2019 ; Le and Nguyen, 2019 ; Liu et al, 2019 ; Małysiak-Mrozek et al, 2019 ; Meng et al, 2019 ; Ghulam et al, 2020 ; Guo et al, 2021 ; Qian et al, 2022 ; Tiwari et al, 2022 ).…”

Lower- versus higher-order nonclassicalities for a coherent superposed quantum state

“…In the field of biology, these can be used to describe the long-range forces between human blood cells and the long-range phase coherence in the bacteriorhodospin macromolecules [4]. With the advent of quantum state engineering [5][6][7], quantum computing and communication ( [8,9] and references therein), a large number of theoretical as well as experimental strategies have been proposed for manufacturing and controlling various types of coherent states [10,11].…”