Resume a Bayesian optimization
resumes the optimization that produced newresults
= resume(results
,Name,Value
)results
with additional
options specified by one or more Name,Value
pair
arguments.
This example shows how to resume a Bayesian optimization. The optimization is for a deterministic function known as Rosenbrock's function, which is a well-known test case for nonlinear optimization. The function has a global minimum value of 0
at the point [1,1]
.
Create two real variables bounded by -5
and 5
.
x1 = optimizableVariable('x1',[-5,5]); x2 = optimizableVariable('x2',[-5,5]); vars = [x1,x2];
Create the objective function.
function f = rosenbrocks(x)
f = 100*(x.x2 - x.x1^2)^2 + (1 - x.x1)^2;
fun = @rosenbrocks;
For reproducibility, set the random seed, and set the acquisition function to 'expected-improvement-plus'
in the optimization.
rng default results = bayesopt(fun,vars,'Verbose',0,... 'AcquisitionFunctionName','expected-improvement-plus');
View the best point found and the best modeled objective.
results.XAtMinObjective results.MinEstimatedObjective
ans = 1x2 table x1 x2 ______ ______ 1.2421 1.5299 ans = -9.5402
The best point is somewhat close to the optimum, but the function model is inaccurate. Resume the optimization for 30 more points (a total of 60 points), this time telling the optimizer that the objective function is deterministic.
newresults = resume(results,'IsObjectiveDeterministic',true,'MaxObjectiveEvaluations',30); newresults.XAtMinObjective newresults.MinEstimatedObjective
ans = 1x2 table x1 x2 ______ ______ 1.0473 1.1002 ans = -0.0066
The objective function model is much closer to the true function this time. The best point is closer to the true optimum.
results
— Bayesian optimization resultsBayesianOptimization
objectBayesian optimization results, specified as a BayesianOptimization
object.
Specify optional
comma-separated pairs of Name,Value
arguments. Name
is
the argument name and Value
is the corresponding value.
Name
must appear inside quotes. You can specify several name and value
pair arguments in any order as
Name1,Value1,...,NameN,ValueN
.
resume(results,'MaxObjectiveEvaluations',60)
You can use any name-value pair accepted by bayesopt
except for those beginning with Initial
.
See the bayesopt
Input Arguments.
Note
The MaxObjectiveEvaluations
and MaxTime
name-value pairs mean additional time or evaluations, above
the numbers stored in results
. So, for example, the default
number of evaluations is 30
in addition to the original
specification.
Additionally, you can use the following name-value pair.
'VariableDescriptions'
— Modify variableOptimizableVariable
objectModify variable, specified as an
OptimizableVariable
object.
You can change only the following properties of a variable in an optimization.
Range
of real or integer variables. For
example,
xvar = optimizableVariable('x',[-10,10]); % Modify the range: xvar.Range = [1,5];
Type
between 'integer'
and 'real'
. For example,
xvar.Type = 'integer';
Transform
of real or integer variables
between 'log'
and 'none'
.
For example,
xvar.Transform = 'log';
newresults
— Optimization resultsBayesianOptimization
objectOptimization results, returned as a BayesianOptimization
object.
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