\(\renewcommand\AA{\unicode{x212B}}\)

CalculateCostFunction v1

Summary

Calculate cost function for a function and a data set in a workspace.

See Also

CalculateChiSquared, Fit

Properties

Name	Direction	Type	Default	Description
Function	InOut	Function	Mandatory	Parameters defining the fitting function and its initial values
InputWorkspace	Input	Workspace	Mandatory	Name of the input Workspace
IgnoreInvalidData	Input	boolean	False	Flag to ignore infinities, NaNs and data with zero errors.
DomainType	Input	string	Simple	The type of function domain to use: Simple, Sequential, or Parallel. Allowed values: [‘Simple’, ‘Sequential’, ‘Parallel’]
EvaluationType	Input	string	CentrePoint	The way the function is evaluated on histogram data sets. If value is “CentrePoint” then function is evaluated at centre of each bin. If it is “Histogram” then function is integrated within the bin and the integrals returned. Allowed values: [‘CentrePoint’, ‘Histogram’]
StepSizeMethod	Input	string	Default	The way the step size is calculated for numerical derivatives. See the section about step sizes in the Fit algorithm documentation to understand the difference between “Default” and “Sqrt epsilon”. Allowed values: [‘Default’, ‘Sqrt epsilon’]
PeakRadius	Input	number	0	A value of the peak radius the peak functions should use. A peak radius defines an interval on the x axis around the centre of the peak where its values are calculated. Values outside the interval are not calculated and assumed zeros.Numerically the radius is a whole number of peak widths (FWHM) that fit into the interval on each side from the centre. The default value of 0 means the whole x axis.
CostFunction	InOut	string	Least squares	The cost function to be used for the fit, default is Least squares. Allowed values: [‘Least squares’, ‘Poisson’, ‘Rwp’, ‘Unweighted least squares’]
Value	Output	number		Output value of the cost function.

Description

Calculates a value of any available cost function. Returns the calculated value in the Value property. The input properties have the same meaning and behaviour as in Fit v1.

Usage

Example

import numpy as np

# Create a data set
x = np.linspace(0,1,10)
y = 1.0 + 2.0 * x
e = np.sqrt(y)
ws = CreateWorkspace(DataX=x, DataY=y, DataE=e)

# Define a function
func = 'name=LinearBackground,A0=1.1,A1=1.9'

# Calculate the chi squared by default
value = CalculateCostFunction(func, ws)
print('Value of least squares is {:.13f}'.format(value))

# Calculate the unweighted least squares
value = CalculateCostFunction(func, ws, CostFunction='Unweighted least squares')
print('Value of unweighted least squares is {:.13f}'.format(value))

Output:

Value of least squares is 0.0133014391988
Value of unweighted least squares is 0.0175925925926

Categories: AlgorithmIndex | Optimization

Source

C++ header: CalculateCostFunction.h

C++ source: CalculateCostFunction.cpp