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fit.options

Main options for the parameter fitting.

In the optimization the cost is minimized for Nk curves with every curve having Nki data points.

sum(Nk)( w{k}^2 * sum(NKi) (w{i,k}^2 * res{i,k}))

OptimizationStrategy

Bases: StrEnum

Strategy for fitting a set of fit experiments.

ALL : fit all experiments together, i.e., one parameter set describes every experiment.

SINGLE : fit every experiment on its own, i.e., one parameter set per experiment. These are the individual parameters, see sbmlsim.fit.metrics.

OptimizationAlgorithmType

Bases: Enum

Type of optimization.

least square : Least square is a local optimization method and works well in combination with many start values, i.e., many repeats of the optimization problem. See https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.least_squares.html for more information.

differential evolution : Differential evolution is a global optimization method and normally is run with a limited number of repeats. See https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.differential_evolution.html#scipy.optimize.differential_evolution for more information.

ResidualType

Bases: Enum

Handling of the residuals.

How are the residuals calculated? Are the absolute residuals used, or are the residuals normalized based on the data points, i.e., relative residuals.

absolute (default) : uses the absolute data values for calculation of the residuals::

r(i,k) = y(i,k) - f(xi,k)

normalized : normalizing residuals of curve with 1/mean of the timecourse::

r(i,k) = (y(i,k) - f(xi,k))/mean(y(k))

This allows to use time courses with very different absolute values in a single optimization problem.

absolute_to_baseline (experimental) : uses the absolute changes to baseline with baseline being the first data point. This requires appropriate pre-simulations for the model to reach a baseline. Data and fits have to be checked carefully. Residuals are calculated as::

r(i,k) = (y(i,k) - ybase(k)) - (f(xi,k) - fbase(k))

normalized changes baseline (experimental): Uses the normalized changes to baseline with baseline being the first data point. This requires appropriate pre-simulations for the model to reach a baseline. Data and fits have to be checked carefully. The residuals are calculated as::

r(i,k) = (y(i,k) - ybase(k)) - (f(xi,k) - fbase(k))/mean(y(k))

LossFunctionType

Bases: Enum

Determines the loss function.

minimize F(x) = 0.5 * sum(rho(residuals_weighted(x)**2)

The following loss functions are supported are allowed:

‘linear’ (default) : rho(z) = z. Gives a standard least-squares problem.

‘soft_l1’ : rho(z) = 2 * ((1 + z)**0.5 - 1). The smooth approximation of l1 (absolute value) loss. Usually a good choice for robust least squares.

‘cauchy’ : rho(z) = ln(1 + z). Severely weakens outliers influence, but may cause difficulties in optimization process.

‘arctan’ : rho(z) = arctan(z). Limits a maximum loss on a single residual, has properties similar to ‘cauchy’.

WeightingCurvesType

Bases: Enum

Weighting w_{k} of the curves k.

Users can provide set of weightings for the individual curves. By default no weightings are applied, i.e. all curves are weighted equally if no weighting option is provided::

w_{k} = 1.0

mapping : curves k are weighted with the provided user weights in the fit mappings, e.g., counts::

w_{k} = wu_{k}

points : weighting with the number of data points. Often time courses contain different number of data points. The residuals should contribute equally per data point::

w_{k} = 1.0/count{k}

The various options can be combined, e.g. mapping and points results in::

w_{k} = wu_{k}/count{k}/mean{y(k)}

WeightingPointsType

Bases: Enum

Weighting w_{i,k} of the data points i within a single fit mapping k.

This decides how the data points within a single fit mapping are weighted.

no weighting (default) : all data points are weighted equally::

w_{i,k} = 1.0

error_weighting: data points are weighted as ~1/error

# FIXME: update documentation, These must probably be normalized also. if yerr{i,k}: w_{i,k} = 1.0/yerr{i,k} else: w_{i,k} = 1.0/yerr{i,k}

FitSettings dataclass

FitSettings(
    residual=ABSOLUTE,
    loss_function=LINEAR,
    weighting_curves=tuple(),
    weighting_points=NO_WEIGHTING,
    variable_step_size=True,
    relative_tolerance=1e-06,
    absolute_tolerance=1e-06,
)

Settings of a parameter fit.

The settings decide how the residuals of an optimization problem are calculated, so the same settings are needed to run a fit and to report it afterwards. They are stored with the result of a fit and read back by the report, see sbmlsim.fit.report.FitReport.

Attributes:

Name Type Description
residual ResidualType

handling of the residuals.

loss_function LossFunctionType

loss function applied to the squared residuals.

weighting_curves Sequence[WeightingCurvesType]

weighting of the curves (fit mappings).

weighting_points WeightingPointsType

weighting of the data points within a curve.

variable_step_size bool

use a variable step size in the solver.

relative_tolerance float

relative tolerance of the simulator.

absolute_tolerance float

absolute tolerance of the simulator.

to_dict

to_dict()

Convert to a dictionary of JSON serializable values.

from_dict staticmethod

from_dict(d)

Create settings from a dictionary, i.e., from the stored JSON.

Parameters:

Name Type Description Default
d dict[str, Any]

dictionary as created by to_dict.

required

Returns:

Type Description
FitSettings

The settings.