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# Search¶

CADET-Match uses a number of different search strategies for parameter estimation. Parameters that are common to more than one search method will be repeated. The choice of search strategy is set by using searchMethod.

Key |
Values |
Default |
Required |
Description |
---|---|---|---|---|

searchMethod |
String |
UNSGA3 |
No |
Select the search method to use. (UNSGA3, NSGA3, Multistart, GraphSpace, MCMC, AltScore, Gradient, ScoreTest) |

Most of the search strategies are population based and capable of running in parallel.

## UNSGA3¶

UNSGA3 is a genetic algorithm designed for high-dimensional problems. UNSGA3 from pymoo is used.

The difference between UNSGA3 and NSGA3 is that UNSGA3 uses a tournament selection to bread the best members instead of random mating. In almost all cases UNSGA3 will converge faster and to a better optimum. NSGA3 is mostly retained for backwards compatibility.

Key |
Values |
Default |
Required |
Description |
---|---|---|---|---|

population |
Integer |
100 |
No |
Set the population size per parameter estimated. |

generations |
Integer |
1000 |
No |
Set the max number of generations to population size * generations. |

sobolGeneration |
Boolean |
True |
No |
Use a sobol sequence to generate the initial population instead of random initialization |

stallGenerations |
Integer |
10 |
No |
Terminate optimization after this many generations without progress |

stopAverage |
Float |
0.0 |
No |
Stop searching when the average value of all metrics is less than or equal to this value |

stopBest |
Float |
0.0 |
No |
Stop searching when the highest metric is less than or equal to this value |

stopRMSE |
Float |
0.0 |
No |
Stop when the Root Mean Square Error is less than or equal to this value |

gradCheck |
Float |
0.0 |
No |
If the geometric mean of the metrics drop below this value run gradient descent to refine the value |

finalGradRefinement |
Boolean |
False |
No |
Take the final pareto front and refine it with gradient descent |

gradFineStop |
Float |
1e-14 |
No |
set xtol of scipy.optimize.least_squares |

localRefine |
String |
gradient |
No |
Can be gradient or powell |

continueMCMC |
Boolean |
False |
No |
Once search finishes start MCMC and carry over useful information automatically |

seeds |
List |
None |
No |
Optimization can be seeded with specific values to test |

MultiObjectiveSSE |
Boolean |
False |
No |
If set to true SSE objectives are split apart and turned into a multi-objective system. This is useful for multiple experiments. |

## NSGA3¶

NSGA3 is a genetic algorithm designed for high-dimensional problems. NSGA3 from pymoo is used. In most cases UNSGA3 should be used and NSGA3 is retained for backwards compatibility.

Key |
Values |
Default |
Required |
Description |
---|---|---|---|---|

population |
Integer |
100 |
No |
Set the population size per parameter estimated. |

generations |
Integer |
1000 |
No |
Set the max number of generations to population size * generations. |

sobolGeneration |
Boolean |
True |
No |
Use a sobol sequence to generate the initial population instead of random initialization |

stallGenerations |
Integer |
10 |
No |
Terminate optimization after this many generations without progress |

stopAverage |
Float |
0.0 |
No |
Stop searching when the average value of all metrics is less than or equal to this value |

stopBest |
Float |
0.0 |
No |
Stop searching when the highest metric is less than or equal to this value |

stopRMSE |
Float |
0.0 |
No |
Stop when the Root Mean Square Error is less than or equal to this value |

gradCheck |
Float |
0.0 |
No |
If the geometric mean of the metrics drop below this value run gradient descent to refine the value |

finalGradRefinement |
Boolean |
False |
No |
Take the final pareto front and refine it with gradient descent |

gradFineStop |
Float |
1e-14 |
No |
set xtol of scipy.optimize.least_squares |

localRefine |
String |
gradient |
No |
Can be gradient or powell |

continueMCMC |
Boolean |
False |
No |
Once search finishes start MCMC and carry over useful information automatically |

seeds |
List |
None |
No |
Optimization can be seeded with specific values to test |

MultiObjectiveSSE |
Boolean |
False |
No |
If set to true SSE objectives are split apart and turned into a multi-objective system. This is useful for multiple experiments. |

## Multistart¶

This is a simple MultiStart gradient descent search. If your problem is known to be solveable with gradient descent this can be a good search choice. While this search algorithm can be used as a precursor for MCMC that is not recomended.

Key |
Values |
Default |
Required |
Description |
---|---|---|---|---|

population |
Integer |
100 |
No |
Set the population size per parameter estimated. |

sobolGeneration |
Boolean |
True |
No |
Use a sobol sequence to generate the initial population instead of random initialization |

gradFineStop |
Float |
1e-14 |
No |
set xtol of scipy.optimize.least_squares |

localRefine |
String |
gradient |
No |
Can be gradient or powell |

continueMCMC |
Boolean |
False |
No |
Once search finishes start MCMC and carry over useful information automatically |

seeds |
List |
None |
No |
Optimization can be seeded with specific values to test |

## GraphSpace¶

The purpose of GraphSpace is to create a map of your problem. It is designed to be used with an extremely large population and it will just evaluate the goal, generate graphs and terminate. It will not actually optimize. What it does tell you is what variable ranges are reasonable to optimize in. This is a good first step for any new problem where the ranges of the parameters is extremely large and the viable ranges are unknown.

Key |
Values |
Default |
Required |
Description |
---|---|---|---|---|

population |
Integer |
100 |
No |
Set the population size per parameter estimated. |

sobolGeneration |
Boolean |
True |
No |
Use a sobol sequence to generate the initial population instead of random initialization |

gradFineStop |
Float |
1e-14 |
No |
set xtol of scipy.optimize.least_squares |

localRefine |
String |
gradient |
No |
Can be gradient or powell |

continueMCMC |
Boolean |
False |
No |
Once search finishes start MCMC and carry over useful information automatically |

seeds |
List |
None |
No |
Optimization can be seeded with specific values to test |

## MCMC¶

MCMC is used for error modeling. It is highly suggested that NSGA3 is used with continueMCMC. MCMC is not an optimization algorithm and should not be used as one. In order to run an error model is also required.

Key |
Values |
Default |
Required |
Description |
---|---|---|---|---|

MCMCpopulation |
Integer |
population |
No |
Set the population size per parameter estimated. |

MCMCpopulationSet |
Integer |
None |
No |
Set the total population size (overrides MCMCpopulation) |

mcmc_h5 |
Path |
None |
No |
This is the path to the mcmc.h5 file generated in a previous MCMC run to use as a prior. |

PreviousResults |
Path |
None |
No* |
MCMC is not an optimization algorithm and should not be directly run. Use NSGA3 and continueMCMC True and this will be auto set. |

MCMCTauMult |
Integer |
50 |
No |
MCMC runs until the chain length/integrated autocorrelation time < MCMCTauMult+2 (2 for burn in) |

## AltScore¶

AltScore is very rarely used. What it allows is reading another completed result and will just re-evaluate the entries of the pareto front with a different goal and report the results. This can be useful for goal design to see the impact of combining different scores and if that would make the problem easier or harder to optimize.

Key |
Values |
Default |
Required |
Description |
---|---|---|---|---|

PreviousResults |
Path |
None |
Yes |
Look at the previous results and reevaluate the pareto front with a different goal (useful to see the impact of different scores) |

## Gradient¶

This is a simple test search algorithm that reads seeds and runs gradient descent from them. This search algorithm has little practical usage and requires good starting points.

Key |
Values |
Default |
Required |
Description |
---|---|---|---|---|

gradFineStop |
Float |
1e-14 |
No |
set xtol of scipy.optimize.least_squares |

localRefine |
String |
gradient |
No |
Can be gradient or powell |

seeds |
List |
None |
Yes |
Optimization can be seeded with specific values to test |

## ScoreTest¶

This is the simplest of all the systems and just designed for testing goals. Given one or more seeds they are simulated, scored and results returned.

Key |
Values |
Default |
Required |
Description |
---|---|---|---|---|

seeds |
List |
None |
Yes |
Optimization can be seeded with specific values to test |