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ESCH

class ESCH(max_evals=1000)

GitHub

Bases: qiskit.algorithms.optimizers.nlopts.nloptimizer.NLoptOptimizer

ESCH evolutionary optimizer.

ESCH is an evolutionary algorithm for global optimization that supports bound constraints only. Specifically, it does not support nonlinear constraints.

NLopt global optimizer, derivative-free. For further detail, please refer to

http://nlopt.readthedocs.io/en/latest/NLopt_Algorithms/#esch-evolutionary-algorithm

Parameters

max_evals (int) – Maximum allowed number of function evaluations.

Raises

MissingOptionalLibraryError – NLopt library not installed.


Methods

get_nlopt_optimizer

ESCH.get_nlopt_optimizer()

Return NLopt optimizer type

Return type

NLoptOptimizerType

get_support_level

ESCH.get_support_level()

return support level dictionary

gradient_num_diff

static ESCH.gradient_num_diff(x_center, f, epsilon, max_evals_grouped=1)

We compute the gradient with the numeric differentiation in the parallel way, around the point x_center.

Parameters

  • x_center (ndarray) – point around which we compute the gradient
  • f (func) – the function of which the gradient is to be computed.
  • epsilon (float) – the epsilon used in the numeric differentiation.
  • max_evals_grouped (int) – max evals grouped

Returns

the gradient computed

Return type

grad

minimize

ESCH.minimize(fun, x0, jac=None, bounds=None)

Minimize the scalar function.

Parameters

  • fun (Callable[[Union[float, ndarray]], float]) – The scalar function to minimize.
  • x0 (Union[float, ndarray]) – The initial point for the minimization.
  • jac (Optional[Callable[[Union[float, ndarray]], Union[float, ndarray]]]) – The gradient of the scalar function fun.
  • bounds (Optional[List[Tuple[float, float]]]) – Bounds for the variables of fun. This argument might be ignored if the optimizer does not support bounds.

Return type

OptimizerResult

Returns

The result of the optimization, containing e.g. the result as attribute x.

optimize

ESCH.optimize(num_vars, objective_function, gradient_function=None, variable_bounds=None, initial_point=None)

Perform optimization.

Parameters

  • num_vars (int) – Number of parameters to be optimized.
  • objective_function (callable) – A function that computes the objective function.
  • gradient_function (callable) – A function that computes the gradient of the objective function, or None if not available.
  • variable_bounds (list[(float, float)]) – List of variable bounds, given as pairs (lower, upper). None means unbounded.
  • initial_point (numpy.ndarray[float]) – Initial point.

Returns

point, value, nfev

point: is a 1D numpy.ndarray[float] containing the solution value: is a float with the objective function value nfev: number of objective function calls made if available or None

Raises

ValueError – invalid input

ESCH.print_options()

Print algorithm-specific options.

set_max_evals_grouped

ESCH.set_max_evals_grouped(limit)

Set max evals grouped

set_options

ESCH.set_options(**kwargs)

Sets or updates values in the options dictionary.

The options dictionary may be used internally by a given optimizer to pass additional optional values for the underlying optimizer/optimization function used. The options dictionary may be initially populated with a set of key/values when the given optimizer is constructed.

Parameters

kwargs (dict) – options, given as name=value.

wrap_function

static ESCH.wrap_function(function, args)

Wrap the function to implicitly inject the args at the call of the function.

Parameters

  • function (func) – the target function
  • args (tuple) – the args to be injected

Returns

wrapper

Return type

function_wrapper


Attributes

bounds_support_level

Returns bounds support level

gradient_support_level

Returns gradient support level

initial_point_support_level

Returns initial point support level

is_bounds_ignored

Returns is bounds ignored

is_bounds_required

Returns is bounds required

is_bounds_supported

Returns is bounds supported

is_gradient_ignored

Returns is gradient ignored

is_gradient_required

Returns is gradient required

is_gradient_supported

Returns is gradient supported

is_initial_point_ignored

Returns is initial point ignored

is_initial_point_required

Returns is initial point required

is_initial_point_supported

Returns is initial point supported

setting

Return setting

settings

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