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resume

Resume hyperparameter optimization problems

Since R2024b

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    Syntax

    newAggregateResults = resume(AggregateResults)
    newAggregateResults = resume(AggregateResults,Name=Value)

    Description

    newAggregateResults = resume(AggregateResults) resumes a set of hyperparameter optimization problems for an additional default number of iterations using the same fitting function and optimization settings used to create the AggregateBayesianOptimization object AggregateResults. When you resume the optimization problems, the resume function returns a new AggregateBayesianOptimization object, but does not return any model objects.

    example

    newAggregateResults = resume(AggregateResults,Name=Value) specifies additional options using one or more name-value arguments. For example, you can specify which optimization problems in AggregateResults to resume.

    example

    Examples

    collapse all

    Open Live Script

    Load the ovarian cancer data set. 

    load ovariancancer.mat

    Create a HyperparameterOptimizationOptions object with the following specifications for two hyperparameter optimization problems:

    • Use kfoldLoss as the constraint, with the bounds [0, 0.1] for the first problem and [0, 0.15] for the second problem.

    • Perform a maximum of 10 objective evaluations for each optimization problem.

    • Use the 'expected-improvement-plus' acquisition function (for reproducibility).

    • Suppress the display of plots. 

    hpoOptions = hyperparameterOptimizationOptions(ConstraintType="loss", ...
    ConstraintBounds=[0.1; 0.15],MaxObjectiveEvaluations=10, ...
    AcquisitionFunctionName="expected-improvement-plus",ShowPlots=false);

    Call the fitctree function to train a binary decision tree classification model and optimize the MinLeafSize hyperparameter for each optimization problem, using the options and constraints in hpoOptions. Because ConstraintType is 'loss', the software uses the size of the compact version of the model object as the objective.

    rng(0,"twister"); % For reproducibility
[Mdl,hpoResults]=fitctree(obs,grp,OptimizeHyperparameters="MinLeafSize", ...
    HyperparameterOptimizationOptions=hpoOptions);
    |=====================================================================================================|
|                                                                                                     |
|Objective         : "CompactModelSize (bytes)"                                                       |
|Constraint        : "kfoldLoss"                                                                      |
|Constraint Bounds : [0 0.1]                                                                          |
|                                                                                                     |
|=====================================================================================================|
| Iter | Eval   | Objective   | Objective   | BestSoFar   | BestSoFar   | Constraint1  |  MinLeafSize |
|      | result |             | runtime     | (observed)  | (estim.)    | violation    |              |
|=====================================================================================================|
|    1 | Infeas |       40027 |      66.373 |         NaN |       40027 |         0.34 |           91 |
|    2 | Infeas |       44103 |     0.60747 |         NaN |       40230 |       0.0713 |            1 |
|    3 | Infeas |       40707 |     0.35853 |         NaN |       40027 |        0.025 |           22 |
|    4 | Infeas |       42063 |     0.43956 |         NaN |       40027 |        0.062 |            6 |
|    5 | Infeas |       40027 |      0.3385 |         NaN |       40019 |        0.025 |           79 |
|    6 | Infeas |       42063 |     0.30684 |         NaN |       39996 |       0.0759 |           10 |
|    7 | Infeas |       44103 |     0.30746 |         NaN |       40055 |       0.0574 |            3 |
|    8 | Infeas |       42063 |     0.32436 |         NaN |       40056 |       0.0805 |            7 |
|    9 | Infeas |       42063 |     0.30914 |         NaN |       40046 |       0.0759 |           10 |
|   10 | Infeas |       40707 |     0.24694 |         NaN |       40040 |        0.062 |           21 |

__________________________________________________________
Optimization completed.
MaxObjectiveEvaluations of 10 reached.
Total function evaluations: 10
Total elapsed time: 85.1906 seconds
Total objective function evaluation time: 69.6117
No feasible points were found.
|=====================================================================================================|
|                                                                                                     |
|Objective         : "CompactModelSize (bytes)"                                                       |
|Constraint        : "kfoldLoss"                                                                      |
|Constraint Bounds : [0 0.15]                                                                         |
|                                                                                                     |
|=====================================================================================================|
| Iter | Eval   | Objective   | Objective   | BestSoFar   | BestSoFar   | Constraint1  |  MinLeafSize |
|      | result |             | runtime     | (observed)  | (estim.)    | violation    |              |
|=====================================================================================================|
|    1 | Best   |       40027 |     0.25714 |       40027 |       40027 |      -0.0343 |           38 |
|    2 | Infeas |       44103 |     0.34661 |       40027 |       40247 |        0.012 |            1 |
|    3 | Accept |       40027 |     0.17625 |       40027 |       40027 |     -0.00649 |           85 |
|    4 | Infeas |       40707 |     0.40139 |       40027 |       40026 |       0.0259 |           14 |
|    5 | Accept |       40027 |     0.28058 |       40027 |       40009 |      -0.0343 |           57 |
|    6 | Accept |       40027 |     0.22424 |       40027 |       40023 |      -0.0343 |           55 |
|    7 | Accept |       40027 |     0.27688 |       40027 |       40023 |      -0.0343 |           46 |
|    8 | Infeas |       40027 |      0.1058 |         NaN |       40033 |         0.29 |           89 |
|    9 | Accept |       40027 |     0.19001 |         NaN |       40033 |      -0.0111 |           80 |
|   10 | Accept |       40707 |     0.34801 |         NaN |       40031 |      -0.0204 |           19 |

__________________________________________________________
Optimization completed.
MaxObjectiveEvaluations of 10 reached.
Total function evaluations: 10
Total elapsed time: 4.3909 seconds
Total objective function evaluation time: 2.6069
No feasible points were found.

    Display a summary of the optimization results.

    summary(hpoResults)
    Objective:     CompactModelSize (bytes)
Constraint:    kfoldLoss

                MinObjective    ConstraintAtMinObjective    ConstraintBounds    ConstraintBoundsAreSatisfied    Feasible    LearnerAtMinObjective
                ____________    ________________________    ________________    ____________________________    ________    _____________________

    Result_1       40027                0.12499                0     0.1                   false                 false      "ClassificationTree" 
    Result_2       40027                0.11573                0    0.15                   true                  false      "ClassificationTree"

    The final attained models in the optimization problems are infeasible. The ConstraintAtMinObjective value of the final attained model in the second optimization problem (0.11573) satisfies the constraint bounds, but the model is infeasible because the attained point is outside the optimization confidence bounds.

    Resume the optimization problems for an additional 30 iterations (the default number of additional iterations). Store the results in the AggregateBayesianOptimization object newResults.

    newResults=resume(hpoResults);
    |=====================================================================================================|
|                                                                                                     |
|Objective         : "CompactModelSize (bytes)"                                                       |
|Constraint        : "kfoldLoss"                                                                      |
|Constraint Bounds : [0 0.1]                                                                          |
|                                                                                                     |
|=====================================================================================================|
| Iter | Eval   | Objective   | Objective   | BestSoFar   | BestSoFar   | Constraint1  |  MinLeafSize |
|      | result |             | runtime     | (observed)  | (estim.)    | violation    |              |
|=====================================================================================================|
|   11 | Infeas |       40027 |     0.43061 |         NaN |       40028 |        0.025 |           36 |
|   12 | Infeas |       42743 |     0.41494 |         NaN |       40044 |       0.0435 |            5 |
|   13 | Infeas |       40707 |     0.27159 |         NaN |       40040 |        0.062 |           21 |
|   14 | Infeas |       40707 |     0.28638 |         NaN |       40022 |       0.0852 |           13 |
|   15 | Infeas |       40027 |     0.25927 |         NaN |       40017 |        0.025 |           28 |
|   16 | Infeas |       40707 |     0.25519 |         NaN |       40016 |        0.025 |           24 |
|   17 | Infeas |       44103 |     0.32862 |         NaN |       40045 |       0.0574 |            3 |
|   18 | Infeas |       44103 |     0.34216 |         NaN |       40058 |       0.0574 |            3 |
|   19 | Infeas |       44103 |     0.38356 |         NaN |       40061 |       0.0713 |            1 |
|   20 | Infeas |       44103 |     0.34886 |         NaN |       40047 |       0.0667 |            2 |
|=====================================================================================================|
| Iter | Eval   | Objective   | Objective   | BestSoFar   | BestSoFar   | Constraint1  |  MinLeafSize |
|      | result |             | runtime     | (observed)  | (estim.)    | violation    |              |
|=====================================================================================================|
|   21 | Infeas |       42063 |     0.32492 |         NaN |       40053 |       0.0805 |            7 |
|   22 | Infeas |       40707 |     0.28227 |         NaN |       40053 |       0.0481 |           19 |
|   23 | Infeas |       40707 |     0.27995 |         NaN |       40048 |        0.025 |           32 |
|   24 | Infeas |       40707 |     0.25968 |         NaN |       40054 |        0.025 |           33 |
|   25 | Infeas |       40707 |     0.23445 |         NaN |       40063 |        0.025 |           35 |
|   26 | Infeas |       40027 |     0.27243 |         NaN |       40065 |        0.025 |           30 |
|   27 | Infeas |       40027 |     0.24756 |         NaN |       40052 |        0.025 |           40 |
|   28 | Infeas |       40027 |     0.23647 |         NaN |       40042 |        0.025 |           40 |
|   29 | Infeas |       40707 |     0.27462 |         NaN |       40040 |        0.025 |           31 |
|   30 | Infeas |       40027 |     0.17799 |         NaN |       40036 |        0.025 |           75 |
|   31 | Infeas |       40707 |      0.2949 |         NaN |       40036 |        0.062 |           17 |
|   32 | Infeas |       40707 |     0.19485 |         NaN |       40055 |        0.025 |           45 |
|   33 | Infeas |       40027 |     0.18133 |         NaN |       40043 |        0.025 |           51 |
|   34 | Infeas |       40707 |     0.28066 |         NaN |       40042 |        0.062 |           16 |
|   35 | Infeas |       40027 |     0.17038 |         NaN |       40030 |        0.025 |           57 |
|   36 | Infeas |       43423 |     0.37602 |         NaN |       40029 |       0.0528 |            4 |
|   37 | Infeas |       40027 |     0.16661 |         NaN |       40020 |        0.025 |           63 |
|   38 | Infeas |       42063 |     0.35504 |         NaN |       40019 |       0.0898 |            8 |
|   39 | Infeas |       40027 |     0.19436 |         NaN |       40017 |        0.025 |           48 |
|   40 | Infeas |       40707 |     0.23338 |         NaN |       40016 |        0.025 |           23 |

__________________________________________________________
Optimization completed.
MaxObjectiveEvaluations of 40 reached.
Total function evaluations: 40
Total elapsed time: 98.7197 seconds
Total objective function evaluation time: 77.9708
No feasible points were found.
|=====================================================================================================|
|                                                                                                     |
|Objective         : "CompactModelSize (bytes)"                                                       |
|Constraint        : "kfoldLoss"                                                                      |
|Constraint Bounds : [0 0.15]                                                                         |
|                                                                                                     |
|=====================================================================================================|
| Iter | Eval   | Objective   | Objective   | BestSoFar   | BestSoFar   | Constraint1  |  MinLeafSize |
|      | result |             | runtime     | (observed)  | (estim.)    | violation    |              |
|=====================================================================================================|
|   11 | Infeas |       42063 |     0.34939 |         NaN |       40078 |      0.00277 |            8 |
|   12 | Infeas |       43423 |     0.40105 |         NaN |       40082 |        0.012 |            4 |
|   13 | Infeas |       44103 |     0.43972 |         NaN |       40084 |        0.012 |            1 |
|   14 | Accept |       40707 |     0.28792 |         NaN |       40031 |      -0.0204 |           20 |
|   15 | Infeas |       44103 |     0.37072 |         NaN |       40111 |       0.0213 |            2 |
|   16 | Accept |       40707 |     0.32508 |         NaN |       40032 |     -0.00186 |           17 |
|   17 | Infeas |       40707 |     0.36003 |         NaN |       40028 |       0.0167 |           11 |
|   18 | Infeas |       40707 |     0.30457 |         NaN |       40028 |       0.0167 |           12 |
|   19 | Infeas |       44103 |     0.45343 |         NaN |       40028 |       0.0213 |            2 |
|   20 | Infeas |       42063 |     0.38948 |         NaN |       40101 |      0.00277 |           10 |
|=====================================================================================================|
| Iter | Eval   | Objective   | Objective   | BestSoFar   | BestSoFar   | Constraint1  |  MinLeafSize |
|      | result |             | runtime     | (observed)  | (estim.)    | violation    |              |
|=====================================================================================================|
|   21 | Infeas |       40027 |      0.1309 |         NaN |       40103 |         0.29 |          101 |
|   22 | Accept |       40027 |     0.22526 |         NaN |       40106 |      -0.0343 |           55 |
|   23 | Accept |       40027 |     0.30185 |         NaN |       40108 |      -0.0343 |           55 |
|   24 | Accept |       40027 |     0.20494 |       40027 |       40018 |      -0.0343 |           55 |
|   25 | Accept |       40027 |     0.23858 |       40027 |       40011 |      -0.0343 |           38 |
|   26 | Accept |       40027 |      0.1978 |       40027 |       40010 |      -0.0343 |           46 |
|   27 | Infeas |       40027 |    0.084622 |         NaN |       40095 |         0.29 |          108 |
|   28 | Accept |       40027 |     0.15048 |         NaN |       40097 |      -0.0343 |           55 |
|   29 | Accept |       40027 |     0.14118 |       40027 |       40016 |      -0.0343 |           55 |
|   30 | Accept |       40027 |     0.18496 |       40027 |       40017 |      -0.0343 |           76 |
|   31 | Accept |       40027 |     0.15109 |       40027 |       40015 |      -0.0296 |           75 |
|   32 | Accept |       40027 |     0.28697 |       40027 |       40012 |      -0.0343 |           38 |
|   33 | Accept |       40027 |     0.19405 |       40027 |       40011 |      -0.0343 |           46 |
|   34 | Accept |       40027 |     0.23407 |       40027 |       40010 |      -0.0343 |           30 |
|   35 | Accept |       40027 |      0.2241 |       40027 |       40009 |      -0.0343 |           30 |
|   36 | Accept |       40027 |     0.22822 |       40027 |       40008 |      -0.0343 |           30 |
|   37 | Accept |       40027 |     0.23876 |       40027 |       40007 |      -0.0343 |           38 |
|   38 | Accept |       40027 |     0.12949 |       40027 |       40008 |      -0.0296 |           75 |
|   39 | Accept |       40027 |     0.14375 |       40027 |       40008 |     -0.00649 |           85 |
|   40 | Accept |       40027 |     0.22908 |       40027 |       40008 |      -0.0343 |           30 |

__________________________________________________________
Optimization completed.
MaxObjectiveEvaluations of 40 reached.
Total function evaluations: 40
Total elapsed time: 19.3236 seconds
Total objective function evaluation time: 10.2084

Best observed feasible point:
    MinLeafSize
    ___________

        38     

Observed objective function value = 40027
Estimated objective function value = 40034.0182
Function evaluation time = 0.25714
Observed constraint violations =[ -0.034265 ]

Best estimated feasible point (according to models):
    MinLeafSize
    ___________

        55     

Estimated objective function value = 40007.5995
Estimated function evaluation time = 0.19489
Estimated constraint violations =[ -0.034265 ]

    By default, the software resumes each optimization problem by calling fitctree with the same hyperparameter optimization options as before, with the exception of MaxObjectiveEvaluations, whose value is increased by 30. The resume function returns a new AggregateBayesianOptimization object, but does not alter the original final attained models in Mdl.

    Display a summary of the new results.

    summary(newResults)
    Objective:     CompactModelSize (bytes)
Constraint:    kfoldLoss

                MinObjective    ConstraintAtMinObjective    ConstraintBounds    ConstraintBoundsAreSatisfied    Feasible    LearnerAtMinObjective
                ____________    ________________________    ________________    ____________________________    ________    _____________________

    Result_1       40027                0.12499                0     0.1                   false                 false      "ClassificationTree" 
    Result_2       40027                0.11573                0    0.15                   true                  true       "ClassificationTree"

    The summary indicates that the original final attained model in the second optimization problem is feasible with the new attained hyperparameter value.

    Display the new attained hyperparameter value for the second optimization problem.

    newResults.HyperparameterOptimizationResults{2}.XAtMinObjective
    ans=table
    MinLeafSize
    ___________

        38

    Train a new cross-validated binary decision tree classification model with the new attained hyperparameter value.

    optimizedMdl=fitctree(obs,grp,MinLeafSize=38);

    Display the compact size of the new model in bytes.

    learnersize(optimizedMdl)
    ans = 
40027

    Calculate the classification loss for the cross-validated model.

    kfoldLoss(crossval(optimizedMdl))
    ans = single

0.1389

    The loss lies within the constraint bounds of [0, 0.15].

    Open Live Script

    This example shows how to resume a set of hyperparameter optimization problems with modified variables. The example uses the gprdata2 data that ships with your software.

    Load the data.

    load('gprdata2.mat')

    The data has one predictor variable and continuous response. This is simulated data.

    Create a structure that contains the following non-default settings for the hyperparameter optimization problems.

    • Use the compact model size as a constraint, with bounds between 0 and 10000 bytes for the first problem, and 0 and 20000 bytes for the second problem.

    • Use the 'expected-improvement-plus' acquisition function (for reproducibility).

    • Perform a maximum of 10 objective function evaluations for each optimization problem.

    • Do not display any plots.

    hyperopts = struct(AcquisitionFunctionName="expected-improvement-plus", ...
    ConstraintType="size", ConstraintBounds=[10000; 20000], ...
    MaxObjectiveEvaluations=10, ShowPlots=false);

    For each hyperparameter optimization problem, train a GPR model and optimize the Sigma hyperparameter within the range [0 0.01] using the specified optimization settings. Use a squared exponential kernel function with default kernel parameters.

    rng(0,'twister'); % For reproducibility
[Mdl,hpoResults] = fitrgp(x,y,KernelFunction="squaredexponential",...
    OptimizeHyperparameters=optimizableVariable(Sigma=[0 0.01]), ...
    HyperparameterOptimizationOptions=hyperopts);
    |=====================================================================================================|
|                                                                                                     |
|Objective         : "kfoldLoss"                                                                      |
|Constraint        : "CompactModelSize (bytes)"                                                       |
|Constraint Bounds : [0 10000]                                                                        |
|                                                                                                     |
|=====================================================================================================|
| Iter | Eval   | Objective:  | Objective   | BestSoFar   | BestSoFar   | Constraint1  |        Sigma |
|      | result | log(1+loss) | runtime     | (observed)  | (estim.)    | violation    |              |
|=====================================================================================================|
|    1 | Infeas |     0.29871 |       2.281 |         NaN |     0.29871 |     6.01e+03 |    0.0021539 |
|    2 | Infeas |      1.1091 |      2.0392 |         NaN |      0.3711 |     6.01e+03 |    0.0057638 |
|    3 | Infeas |     0.29823 |      2.4338 |         NaN |      0.3315 |     6.01e+03 |    0.0098837 |
|    4 | Infeas |      1.8412 |      1.8691 |         NaN |     0.54369 |     6.01e+03 |   6.9219e-05 |
|    5 | Infeas |     0.29873 |      2.6339 |         NaN |     0.76919 |     6.01e+03 |   4.3883e-05 |
|    6 | Infeas |      1.1091 |      2.2547 |         NaN |     0.82584 |     6.01e+03 |    0.0052323 |
|    7 | Infeas |     0.29839 |      2.1299 |         NaN |     0.75049 |     6.01e+03 |    0.0082039 |
|    8 | Infeas |     0.29845 |      2.1781 |         NaN |     0.69398 |     6.01e+03 |    0.0074221 |
|    9 | Infeas |     0.29823 |       2.228 |         NaN |     0.65001 |     6.01e+03 |    0.0098713 |
|   10 | Infeas |      1.1091 |      1.7088 |         NaN |     0.69592 |     6.01e+03 |    0.0043666 |

__________________________________________________________
Optimization completed.
MaxObjectiveEvaluations of 10 reached.
Total function evaluations: 10
Total elapsed time: 24.1372 seconds
Total objective function evaluation time: 21.7564
No feasible points were found.
|=====================================================================================================|
|                                                                                                     |
|Objective         : "kfoldLoss"                                                                      |
|Constraint        : "CompactModelSize (bytes)"                                                       |
|Constraint Bounds : [0 20000]                                                                        |
|                                                                                                     |
|=====================================================================================================|
| Iter | Eval   | Objective:  | Objective   | BestSoFar   | BestSoFar   | Constraint1  |        Sigma |
|      | result | log(1+loss) | runtime     | (observed)  | (estim.)    | violation    |              |
|=====================================================================================================|
|    1 | Best   |      0.3047 |      2.1728 |      0.3047 |      0.3047 |    -3.99e+03 |   9.8148e-05 |
|    2 | Best   |     0.30457 |      1.7426 |     0.30457 |     0.30457 |    -3.99e+03 |    0.0054459 |
|    3 | Accept |     0.30466 |      2.0936 |     0.30457 |     0.30464 |    -3.99e+03 |    0.0029412 |
|    4 | Best   |     0.30434 |       1.747 |     0.30434 |     0.30434 |    -3.99e+03 |    0.0089683 |
|    5 | Best   |     0.30425 |         2.3 |     0.30425 |     0.30425 |    -3.99e+03 |    0.0099999 |
|    6 | Accept |     0.30425 |      1.7777 |     0.30425 |     0.30425 |    -3.99e+03 |    0.0099992 |
|    7 | Accept |     0.30425 |      2.2579 |     0.30425 |     0.30425 |    -3.99e+03 |    0.0099979 |
|    8 | Accept |     0.30425 |      2.1081 |     0.30425 |     0.30425 |    -3.99e+03 |    0.0099993 |
|    9 | Accept |     0.30425 |      2.0023 |     0.30425 |     0.30425 |    -3.99e+03 |    0.0099999 |
|   10 | Accept |     0.30446 |       2.078 |     0.30425 |     0.30425 |    -3.99e+03 |    0.0073607 |

__________________________________________________________
Optimization completed.
MaxObjectiveEvaluations of 10 reached.
Total function evaluations: 10
Total elapsed time: 23.0263 seconds
Total objective function evaluation time: 20.28

Best observed feasible point:
      Sigma  
    _________

    0.0099999

Observed objective function value = 0.30425
Estimated objective function value = 0.30425
Function evaluation time = 2.3
Observed constraint violations =[ -3990.500000 ]

Best estimated feasible point (according to models):
      Sigma  
    _________

    0.0099999

Estimated objective function value = 0.30425
Estimated function evaluation time = 2.0183
Estimated constraint violations =[ -3990.500000 ]

    Display a summary of the optimization results.

    summary(hpoResults)
    Objective:     kfoldLoss
Constraint:    CompactModelSize (bytes)

                MinObjective    ConstraintAtMinObjective    ConstraintBounds    ConstraintBoundsAreSatisfied    Feasible    LearnerAtMinObjective
                ____________    ________________________    ________________    ____________________________    ________    _____________________

    Result_1      0.29823                16010                 0    10000                  false                 false         "RegressionGP"    
    Result_2      0.30425                16010                 0    20000                  true                  true          "RegressionGP"

    The final model in the first optimization problem is infeasible, since its compact size lies outside the constraint bounds. The second optimization problem has a minimum objective value of 0.30065 and is feasible. Display its properties.

    details(Mdl{2})
      RegressionGP with properties:

                    IsActiveSetVector: [501x1 logical]
                        LogLikelihood: -1.2483e+03
                     ActiveSetHistory: []
                       BCDInformation: []
                                    Y: [501x1 double]
                                    X: [501x1 double]
                             RowsUsed: []
                                    W: [501x1 double]
                      ModelParameters: [1x1 classreg.learning.modelparams.GPParams]
                      NumObservations: 501
                             BinEdges: {}
    HyperparameterOptimizationResults: [1x1 BayesianOptimization]
                       PredictorNames: {'x1'}
                CategoricalPredictors: []
                         ResponseName: 'Y'
               ExpandedPredictorNames: {'x1'}
                    ResponseTransform: 'none'
                       KernelFunction: 'SquaredExponential'
                    KernelInformation: [1x1 struct]
                        BasisFunction: 'Constant'
                                 Beta: 7.9950
                                Sigma: 0.0100
                    PredictorLocation: []
                       PredictorScale: []
                                Alpha: [501x1 double]
                     ActiveSetVectors: [501x1 double]
                            FitMethod: 'Exact'
                        PredictMethod: 'Exact'
                      ActiveSetMethod: 'Random'
                        ActiveSetSize: 501

    The final attained model in the second optimization problem has a Sigma value of 0.0293.

    Resume the hyperparameter optimization of the second problem, and alter the constraint such that the Sigma parameter value must lie between 0 and 1. By default, the software resumes the optimization problem by calling fitrgp with the same hyperparameter optimization options as before, with the exception of MaxObjectiveEvaluations, whose value is increased by 30. The resume function returns the new AggregateBayesianOptimization object newResults, and does not alter the original final attained model Mdl.

    newResults=resume(hpoResults, Results=2, ...
    VariableDescriptions={optimizableVariable(Sigma=[0 1])});
    |=====================================================================================================|
|                                                                                                     |
|Objective         : "kfoldLoss"                                                                      |
|Constraint        : "CompactModelSize (bytes)"                                                       |
|Constraint Bounds : [0 20000]                                                                        |
|                                                                                                     |
|=====================================================================================================|
| Iter | Eval   | Objective:  | Objective   | BestSoFar   | BestSoFar   | Constraint1  |        Sigma |
|      | result | log(1+loss) | runtime     | (observed)  | (estim.)    | violation    |              |
|=====================================================================================================|
|   11 | Accept |     0.41882 |      1.2293 |     0.30425 |     0.30428 |    -3.99e+03 |      0.66292 |
|   12 | Best   |     0.03798 |      1.6116 |     0.03798 |     0.03799 |    -3.99e+03 |      0.16757 |
|   13 | Best   |    0.037831 |      1.7601 |    0.037831 |    0.037831 |    -3.99e+03 |      0.23883 |
|   14 | Accept |     0.03789 |      1.9903 |    0.037831 |    0.037789 |    -3.99e+03 |      0.20216 |
|   15 | Best   |    0.037818 |      1.9654 |    0.037818 |    0.037787 |    -3.99e+03 |      0.33607 |
|   16 | Best   |    0.037799 |       1.752 |    0.037799 |    0.037694 |    -3.99e+03 |      0.29549 |
|   17 | Accept |     0.21443 |      1.6676 |    0.037799 |    0.037694 |    -3.99e+03 |      0.41667 |
|   18 | Accept |     0.42224 |      1.3012 |    0.037799 |    0.037683 |    -3.99e+03 |      0.99989 |
|   19 | Accept |    0.037806 |      1.5579 |    0.037799 |    0.037317 |    -3.99e+03 |      0.31875 |
|   20 | Accept |    0.037807 |      1.5803 |    0.037799 |    0.037177 |    -3.99e+03 |      0.26588 |
|=====================================================================================================|
| Iter | Eval   | Objective:  | Objective   | BestSoFar   | BestSoFar   | Constraint1  |        Sigma |
|      | result | log(1+loss) | runtime     | (observed)  | (estim.)    | violation    |              |
|=====================================================================================================|
|   21 | Accept |    0.037936 |       1.639 |    0.037799 |    0.037141 |    -3.99e+03 |      0.18244 |
|   22 | Accept |     0.03781 |      1.6934 |    0.037799 |    0.037274 |    -3.99e+03 |      0.32505 |
|   23 | Accept |    0.037855 |      1.7994 |    0.037799 |     0.03726 |    -3.99e+03 |      0.22119 |
|   24 | Accept |    0.037944 |      1.5767 |    0.037799 |    0.037259 |    -3.99e+03 |       0.1798 |
|   25 | Accept |    0.037801 |      1.6126 |    0.037799 |    0.037253 |    -3.99e+03 |      0.27948 |
|   26 | Accept |    0.037817 |      1.8017 |    0.037799 |    0.037248 |    -3.99e+03 |      0.25247 |
|   27 | Accept |    0.037809 |      1.6188 |    0.037799 |    0.037416 |    -3.99e+03 |      0.32457 |
|   28 | Accept |     0.03781 |      1.8364 |    0.037799 |    0.037507 |    -3.99e+03 |      0.32529 |
|   29 | Accept |    0.037841 |      1.8995 |    0.037799 |    0.037506 |    -3.99e+03 |      0.23064 |
|   30 | Accept |    0.037946 |      1.7412 |    0.037799 |    0.037507 |    -3.99e+03 |      0.17898 |
|   31 | Accept |    0.037803 |      2.4806 |    0.037799 |    0.037508 |    -3.99e+03 |      0.27441 |
|   32 | Accept |    0.037801 |      2.6047 |    0.037799 |    0.037494 |    -3.99e+03 |      0.30734 |
|   33 | Accept |    0.037816 |      2.0562 |    0.037799 |    0.037494 |    -3.99e+03 |      0.25336 |
|   34 | Accept |     0.03787 |      3.0448 |    0.037799 |    0.037494 |    -3.99e+03 |      0.21259 |
|   35 | Accept |     0.42015 |      1.3942 |    0.037799 |    0.037475 |    -3.99e+03 |      0.83224 |
|   36 | Accept |     0.41878 |      1.6174 |    0.037799 |    0.037454 |    -3.99e+03 |      0.54762 |
|   37 | Accept |     0.42198 |      1.9642 |    0.037799 |    0.037435 |    -3.99e+03 |      0.91788 |
|   38 | Accept |     0.41896 |       1.489 |    0.037799 |    0.037415 |    -3.99e+03 |      0.74565 |
|   39 | Accept |     0.41773 |      1.7524 |    0.037799 |    0.037516 |    -3.99e+03 |      0.48318 |
|   40 | Accept |    0.037918 |      2.4197 |    0.037799 |    0.037516 |    -3.99e+03 |      0.18954 |

__________________________________________________________
Optimization completed.
MaxObjectiveEvaluations of 40 reached.
Total function evaluations: 40
Total elapsed time: 85.0182 seconds
Total objective function evaluation time: 74.7373

Best observed feasible point:
     Sigma 
    _______

    0.29549

Observed objective function value = 0.037799
Estimated objective function value = 0.037951
Function evaluation time = 1.752
Observed constraint violations =[ -3990.500000 ]

Best estimated feasible point (according to models):
     Sigma 
    _______

    0.32457

Estimated objective function value = 0.037516
Estimated function evaluation time = 1.8176
Estimated constraint violations =[ -3990.500000 ]

    The new minimum objective and Lambda values are 0.23944 and 0.10002, respectively.

    Input Arguments

    collapse all

    Aggregate optimization results, specified as an AggregateBayesianOptimization object.

    Name-Value Arguments

    Specify optional pairs of arguments as Name1=Value1,...,NameN=ValueN, where Name is the argument name and Value is the corresponding value. Name-value arguments must appear after other arguments, but the order of the pairs does not matter.

    Example: resume(AggregateResults,Results=[1 3]) resumes the optimization of the first and third optimization problems in AggregateResults.

    Note

    The MaxTime and MaxObjectiveEvaluations name-value arguments specify additional time or objective evaluations, above the numbers stored in AggregateResults. For example, the default number of evaluations is 30 in addition to the original specification.

    Optimization problems in AggregateResults to resume, specified as "all", a numeric vector of positive integers containing indices in the range [1,N], or a logical vector of length N, where N=numel(AggregateResults.HyperparameterOptimizationResults).

    Example: Results=[1 3]

    Data Types: single | double | logical

    Variables to modify, specified as a P-by-1 cell array, where P must be equal to 1 or a value that depends on the contents of Results.

    Contents of ResultsValue of P
    'all'numel(AggregateResults.HyperparameterOptimizationResults)
    Numeric valuesnumel(Results)
    Logical valuessum(Results)

    Each cell of VariableDescriptions contains a K-by-1 or 1-by-K array of optimizableVariable objects, where K is the number of optimizable variables in hpoResults. The software applies the contents of each cell to the AggregateResults.HyperparameterOptimizationResults property of the corresponding optimization problem with the index specified in Results. If P=1, then the software applies the cell contents to all optimization problems with the indices specified in Results.

    You can modify 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";

    Data Types: cell array

    Maximum number of objective function evaluations, specified as a P-by-1 array of positive integers or []. The value of P must be equal to 1 or a value that depends on the contents of Results.

    Contents of ResultsValue of P
    'all'numel(AggregateResults.HyperparameterOptimizationResults)
    Numeric valuesnumel(Results)
    Logical valuessum(Results)

    If P=1, the software applies the value of MaxObjectiveEvaluations to all optimization problems in AggregrateOptimizationResults with the indices specified in Results. Otherwise, the software applies each element of MaxObjectiveEvaluations to the corresponding optimization problem with the index specified in Results.

    If MaxObjectiveEvaluations is [], the default value depends on the fitting function and optimizer used to create AggregrateOptimizationResults. For more information, see the HyperparameterOptimizationOptions name-value argument description on the documentation pages of the individual fitting functions.

    Example: MaxObjectiveEvaluations=40

    Data Types: single | double

    Time limit for the optimization, specified as [] or a P-by-1 array. The array must contain nonnegative integers or Inf. The value of P must be equal to 1 or a value that depends on the contents of Results.

    Contents of ResultsValue of P
    'all'numel(AggregateResults.HyperparameterOptimizationResults)
    Numeric valuesnumel(Results)
    Logical valuessum(Results)

    If P=1, then the software applies the value of MaxTime to all optimization problems in AggregrateOptimizationResults with the indices specified in Results. Otherwise, the software applies each value of MaxTime to the corresponding optimization problem with the index in Results.

    If MaxTime is [], the default value is Inf.

    Example: MaxTime=[30 60]

    Data Types: single | double

    Output Arguments

    collapse all

    Optimization results, returned as an AggregateBayesianOptimization object.

    Version History

    Introduced in R2024b

    See Also

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