L_BFGS_B¶

class
L_BFGS_B
(maxfun=1000, maxiter=15000, ftol=2.220446049250313e15, factr=None, iprint= 1, epsilon=1e08, eps=1e08, options=None, max_evals_grouped=1, **kwargs)[source]¶ Bases:
qiskit.algorithms.optimizers.scipy_optimizer.SciPyOptimizer
Limitedmemory BFGS Bound optimizer.
The target goal of Limitedmemory BroydenFletcherGoldfarbShanno Bound (LBFGSB) is to minimize the value of a differentiable scalar function \(f\). This optimizer is a quasiNewton method, meaning that, in contrast to Newtons’s method, it does not require \(f\)’s Hessian (the matrix of \(f\)’s second derivatives) when attempting to compute \(f\)’s minimum value.
Like BFGS, LBFGS is an iterative method for solving unconstrained, nonlinear optimization problems, but approximates BFGS using a limited amount of computer memory. LBFGS starts with an initial estimate of the optimal value, and proceeds iteratively to refine that estimate with a sequence of better estimates.
The derivatives of \(f\) are used to identify the direction of steepest descent, and also to form an estimate of the Hessian matrix (second derivative) of \(f\). LBFGSB extends LBFGS to handle simple, pervariable bound constraints.
Uses scipy.optimize.fmin_l_bfgs_b. For further detail, please refer to https://docs.scipy.org/doc/scipy/reference/optimize.minimizelbfgsb.html
 Parameters
maxfun (
int
) – Maximum number of function evaluations.maxiter (
int
) – Maximum number of iterations.ftol (
float
) – The iteration stops when (f^k  f^{k+1})/max{f^k,f^{k+1},1} <= ftol.factr (
Optional
[float
]) – (DEPRECATED) The iteration steps when (f^k  f^{k+1})/max{f^k, f^{k+1},1} <= factr * eps, where eps is the machine precision, which is automatically generated by the code. Typical values for factr are: 1e12 for low accuracy; 1e7 for moderate accuracy; 10.0 for extremely high accuracy. See Notes for relationship to ftol, which is exposed (instead of factr) by the scipy.optimize.minimize interface to LBFGSB.iprint (
int
) – Controls the frequency of output. iprint < 0 means no output; iprint = 0 print only one line at the last iteration; 0 < iprint < 99 print also f and proj g every iprint iterations; iprint = 99 print details of every iteration except nvectors; iprint = 100 print also the changes of active set and final x; iprint > 100 print details of every iteration including x and g.eps (
float
) – If jac is approximated, use this value for the step size.epsilon (
float
) – (DEPRECATED) Step size used when approx_grad is True, for numerically calculating the gradientoptions (
Optional
[dict
]) – A dictionary of solver options.max_evals_grouped (
int
) – Max number of default gradient evaluations performed simultaneously.kwargs – additional kwargs for scipy.optimize.minimize.
Methods
Return support level dictionary
We compute the gradient with the numeric differentiation in the parallel way, around the point x_center.
Perform optimization.
Print algorithmspecific options.
Set max evals grouped
Sets or updates values in the options dictionary.
Wrap the function to implicitly inject the args at the call of the function.
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
¶  Return type
Dict
[str
,Any
]