where is a fixed function and is a suitably normalized function with positive real part.
where is a fixed function in and is a suitably normalized analytic function with positive real part.
Although it is more common to use sigmoid activation functions, we note that the identity function can just be thought of as a suitably scaled tanh function over the desired range. .
Although it is more common to use sigmoid activation functions, we note that the identity function can just be thought of as a suitably scaled tanh function over the desired range.
For a fixed value of M, the constellation can be optimized through the minimization of a suitably defined cost function, or, equivalently, through the maximization of a quantity related to the cost function.
We compute the optimal D value which maximizes a suitably defined cost function.
Advanced two-dimensional genetic operators, in conjunction with a suitably designed fitness function, allow a productive evolutionary search.
Convexity of a suitably defined cost function is studied, indicating that parameter estimation can be accomplished using standard optimization techniques.
A suitably chosen deflection function is used to analyze the free vibration of rotationally restrained infinite periodic beams on transversely rigid supports by the wave approach.
However, direct modeling of protein binding site flexibility remains challenging because of the large conformational space that must be sampled, and difficulties remain in constructing a suitably accurate energy function.
Additionally, with a suitably tailored fitness function, the genetic algorithm approach could help to experimentally identify parameters that result in novel nonlinear wave phenomena, such as soliton explosions9, which are studied in mode-locked fibre lasers that provide an ideal platform for exploring the dynamics of complex nonlinear systems.
