Table 2.

The six models of HyAdamC created by setting ${\lambda }_1$ and ${\lambda }_2$ in Equation (17).

Models	${\mathit{\lambda }}_1$	${\mathit{\lambda }}_2$	${\mathit{\xi }}_{\mathit{S}}({\mathit{g}}_{\mathit{t}},{\mathit{g}}_{\mathit{t}-1};{\mathit{\lambda }}_1,{\mathit{\lambda }}_2)$
HyAdamC-v1	0	0	${\left(1+e^{-\left(\right|{\mathbf{g}}_t-{\mathbf{g}}_{t-1}\left|\right)}\right)}^{-1}$
HyAdamC-v2	0	1	${\left(1+e^{-\left(\right|{\mathbf{g}}_t-{\mathbf{g}}_{t-1}|-{\mu }_t)}\right)}^{-1}$
HyAdamC-v3	1	0	${\left(1+e^{-{\sigma }_t\left(\right|{\mathbf{g}}_t-{\mathbf{g}}_{t-1}\left|\right)}\right)}^{-1}$
HyAdamC-v4	1	1	${\left(1+e^{-{\sigma }_t\left(\right|{\mathbf{g}}_t-{\mathbf{g}}_{t-1}|-{\mu }_t)}\right)}^{-1}$
HyAdamC-v5	2	0	${\left(1+e^{-{\sigma }_t^2\left(\right|{\mathbf{g}}_t-{\mathbf{g}}_{t-1}\left|\right)}\right)}^{-1}$
HyAdamC-v6	2	1	${\left(1+e^{-{\sigma }_t^2\left(\right|{\mathbf{g}}_t-{\mathbf{g}}_{t-1}|-{\mu }_t)}\right)}^{-1}$