# API¶

The optimizers are the classes responsible for finding the ideal weights. The underlying optimizer is built from the nlopt package. The optimizers are classified into 2 categories, Deterministic and Discrete State Uncertainty.

Deterministic optimizers are suitable for instances where the problem scenario is known. For example, if it is expected to only have one market scenario, then it is suitable to use the optimizers under this category.

Discrete State Uncertainty optimizers are suitable for instances where there are multiple problem scenarios and when a discrete probability can be assigned to each scenario. For instance, there could be 3 scenarios that would happen in the future. Baseline at 50%, Upside at 30% and Downside at 20%. In this case, this class of optimizers will be most suitable to model the optimization problem.

Presently, Continuous State Uncertainty optimizers are not implemented in the package.

Deterministic Optimizers

Discrete State Uncertainty Optimizers

## Algorithms¶

All algorithms in allopy follows a particular naming pattern. Specifically, the names are of the form {G,L}{N,D}_xxx where G/L denotes if the algorithm is global or local optimization, N/D denotes if the algorithm is a derivative-free or gradient-based algorithm and xxx is the name of the algorithm.

For example, LD_SLSQP refers to the Sequential Quadratic Least Squares Programming. This is a local and derivative free algorithm.

Many algorithms have variants and some, such as AUGLAG, may not have the construct described above. In using any of these algorithms, consult a textbook or Wikipedia to understand if it is fit for your purpose.

A list of the algorithms is given below. Check out the docs at nlopt for more information.

• GN_DIRECT_L

• GN_DIRECT_L_RAND

• GN_DIRECT_NOSCAL

• GN_DIRECT_L_NOSCAL

• GN_DIRECT_L_RAND_NOSCAL

• GN_ORIG_DIRECT

• GN_ORIG_DIRECT_L

• GD_STOGO

• GD_STOGO_RAND

• LD_LBFGS_NOCEDAL

• LD_LBFGS

• LN_PRAXIS

• LD_VAR1

• LD_VAR2

• LD_TNEWTON

• LD_TNEWTON_RESTART

• LD_TNEWTON_PRECOND

• LD_TNEWTON_PRECOND_RESTART

• GN_CRS2_LM

• GN_MLSL

• GD_MLSL

• GN_MLSL_LDS

• GD_MLSL_LDS

• LD_MMA

• LN_COBYLA

• LN_NEWUOA

• LN_NEWUOA_BOUND

• LN_SBPLX

• LN_AUGLAG

• LD_AUGLAG

• LN_AUGLAG_EQ

• LD_AUGLAG_EQ

• LN_BOBYQA

• GN_ISRES

• AUGLAG

• AUGLAG_EQ

• G_MLSL

• G_MLSL_LDS

• LD_SLSQP

• LD_CCSAQ

• GN_ESCH

• GN_AGS