PolynomialDynamicModel.md

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class PolynomialDynamicModel( PolynomialModel,Dynamic )	[source]

General polynomial model of an adaptable degree.

f( x:p ) = ∑ p_k * x^k

where the sum is over k running from 0 to degree ( inclusive ).

It is a linear model.

Author Do Kester

Examples

poly = PolynomialDynamicModel( )         # polynomial with unknown degree
poly.grow( )                         # starts at degree = 0, npar = 1
poly.grow( )                         # each grow( ) adds 1
poly.grow( )
poly.grow( )
print poly.npchain
5
poly.shrink( )                        # shrink( ) deletes 1 degree
print poly.npbase
4

Attributes

• minDegree : int
       minimum degree of the polynomial
• maxDegree : int or None
       maximum degree of the polynomial

Attributes from Dynamic
     ncomp (=degree+1), deltaNpar, minComp (=minDegree+1), maxComp (=maxDegree+1), growPrior

Attributes from PolynomialModel
     degree

Attributes from Model
     npchain, parameters, stdevs, xUnit, yUnit

Attributes from FixedModel
     npmax, fixed, parlist, mlist

Attributes from BaseModel
     npbase, ndim, priors, posIndex, nonZero, tiny, deltaP, parNames

Category mathematics/Fitting

PolynomialDynamicModel( degree, minDegree=0, maxDegree=None, fixed=None, growPrior=None, copy=None, **kwargs )	[source]

Polynomial of a adaptable degree.

The model starts as a PolynomialModel of degree = 0. Growth of the model is governed by a exponential prior ( scale=1 ).

Parameters

• degree : int
       degree to start with; it should be minDegree <= degree <= maxDegree
• minDegree : int
       minimum degree of polynomial (def=0)
• maxDegree : None or int
       maximum degree of polynomial (def=None)
• growPrior : None or Prior
       governing the birth and death.
       ExponentialPrior (scale=2) if maxDegree is None else UniformPrior
• copy : PolynomialDynamicModel
       model to copy

Raises
AttributeError when fixed parameters are requested ValueError when degree is outside [min..max] range

copy( )	[source]

Copy method.

isDynamic( )	[source]

changeNComp( dn )	[source]

baseName( )	[source]

Return a string representation of the model.

Methods inherited from PolynomialModel,

• basePartial( xdata, params, parlist=None )
• baseDerivative( xdata, params )
• baseParameterName( k )
• baseParameterUnit( k )

Methods inherited from LinearModel

• baseResult( xdata, params )

Methods inherited from Model

• chainLength( )
• isNullModel( )
• isolateModel( k )
• addModel( model )
• subtractModel( model )
• multiplyModel( model )
• divideModel( model )
• pipeModel( model )
• appendModel( model, operation )
• correctParameters( params )
• result( xdata, param=None )
• operate( res, pars, next )
• derivative( xdata, param, useNum=False )
• partial( xdata, param, useNum=False )
• selectPipe( ndim, ninter, ndout )
• pipe_0( dGd, dHdG )
• pipe_1( dGd, dHdG )
• pipe_2( dGd, dHdG )
• pipe_3( dGd, dHdG )
• pipe_4( dGdx, dHdG )
• pipe_5( dGdx, dHdG )
• pipe_6( dGdx, dHdG )
• pipe_7( dGdx, dHdG )
• pipe_8( dGdx, dHdG )
• pipe_9( dGdx, dHdG )
• shortName( )
• getNumberOfParameters( )
• numDerivative( xdata, param )
• numPartial( xdata, param )
• hasPriors( isBound=True )
• getPrior( kpar )
• setPrior( kpar, prior=None, **kwargs )
• getParameterName( kpar )
• getParameterUnit( kpar )
• getIntegralUnit( )
• setLimits( lowLimits=None, highLimits=None )
• getLimits( )
• hasLimits( fitindex=None )
• unit2Domain( uvalue, kpar=None )
• domain2Unit( dvalue, kpar=None )
• partialDomain2Unit( dvalue )
• nextPrior( )
• isMixed( )
• getLinearIndex( )
• testPartial( xdata, params, silent=True )
• strictNumericPartial( xdata, params, parlist=None )
• assignDF1( partial, i, dpi )
• assignDF2( partial, i, dpi )
• strictNumericDerivative( xdata, param )

Methods inherited from FixedModel

• select( params )
• selectNames( names )
• expand( xdata, param )

Methods inherited from BaseModel

• checkParameter( param )
• checkPositive( param )
• checkZeroParameter( param )
• isModifiable( )
• basePrior( kpar )
• getParameterIndex( parname )
• getParameterValue( param, name, default=None )

Methods inherited from Dynamic

• setGrowPrior( growPrior=None, min=1, max=None, name="Comp" )
• setDynamicAttribute( name, value )
• grow( offset=0, rng=None, **kwargs )
• shrink( offset=0, rng=None, **kwargs )
• alterParameterNames( dnp )
• alterParameterSize( dnp, offset, location=None, value=0 )
• alterParameters( param, location, dnp, offset, value=None )
• alterFitindex( findex, location, dnp, offset )
• shuffle( param, offset, np, rng )