GeneralizedGaussianSpatialModel

class gammapy.modeling.models.GeneralizedGaussianSpatialModel(**kwargs)[source]

Bases: gammapy.modeling.models.SpatialModel

Two-dimensional Generealized Gaussian model.

For more information see Generalized Gaussian Spatial Model.

Parameters
lon_0, lat_0Angle

Center position

r_0Angle

Length of the major semiaxis, in angular units.

etafloat

Shape parameter whitin (0, 1]. Special cases for disk: ->0, Gaussian: 0.5, Laplacian:1

efloat

Eccentricity (\(0< e< 1\)).

phiAngle

Rotation angle \(\phi\): of the major semiaxis. Increases counter-clockwise from the North direction.

frame{“icrs”, “galactic”}

Center position coordinate frame

Attributes Summary

covariance

default_parameters

e

A model parameter.

eta

A model parameter.

evaluation_radius

Evaluation radius (Angle).

is_energy_dependent

lat_0

A model parameter.

lon_0

A model parameter.

parameters

Parameters (Parameters)

phi

A model parameter.

phi_0

position

Spatial model center position

position_error

Get 95% containment position error as (EllipseSkyRegion)

r_0

A model parameter.

tag

type

Methods Summary

__call__(lon, lat[, energy])

Call evaluate method

copy()

A deep copy.

create(tag[, model_type])

Create a model instance.

evaluate(lon, lat, lon_0, lat_0, r_0, eta, …)

evaluate_geom(geom)

from_dict(data)

from_parameters(parameters, **kwargs)

Create model from parameter list

integrate_geom(geom)

Integrate model on Geom.

plot([ax, geom])

Plot spatial model.

plot_error([ax])

Plot position error

plot_grid([geom])

Plot spatial model energy slices in a grid.

plot_interative([ax, geom])

Plot spatial model.

to_dict([full_output])

Create dict for YAML serilisation

to_region(**kwargs)

Model outline (EllipseSkyRegion).

Attributes Documentation

covariance
default_parameters = <gammapy.modeling.parameter.Parameters object>
e

A model parameter.

Note that the parameter value has been split into a factor and scale like this:

value = factor x scale

Users should interact with the value, quantity or min and max properties and consider the fact that there is a factor` and scale an implementation detail.

That was introduced for numerical stability in parameter and error estimation methods, only in the Gammapy optimiser interface do we interact with the factor, factor_min and factor_max properties, i.e. the optimiser “sees” the well-scaled problem.

Parameters
namestr

Name

valuefloat or Quantity

Value

scalefloat, optional

Scale (sometimes used in fitting)

unitUnit or str, optional

Unit

minfloat, optional

Minimum (sometimes used in fitting)

maxfloat, optional

Maximum (sometimes used in fitting)

frozenbool, optional

Frozen? (used in fitting)

eta

A model parameter.

Note that the parameter value has been split into a factor and scale like this:

value = factor x scale

Users should interact with the value, quantity or min and max properties and consider the fact that there is a factor` and scale an implementation detail.

That was introduced for numerical stability in parameter and error estimation methods, only in the Gammapy optimiser interface do we interact with the factor, factor_min and factor_max properties, i.e. the optimiser “sees” the well-scaled problem.

Parameters
namestr

Name

valuefloat or Quantity

Value

scalefloat, optional

Scale (sometimes used in fitting)

unitUnit or str, optional

Unit

minfloat, optional

Minimum (sometimes used in fitting)

maxfloat, optional

Maximum (sometimes used in fitting)

frozenbool, optional

Frozen? (used in fitting)

evaluation_radius

Evaluation radius (Angle).

Set as \(5 r_{\rm eff}\).

is_energy_dependent
lat_0

A model parameter.

Note that the parameter value has been split into a factor and scale like this:

value = factor x scale

Users should interact with the value, quantity or min and max properties and consider the fact that there is a factor` and scale an implementation detail.

That was introduced for numerical stability in parameter and error estimation methods, only in the Gammapy optimiser interface do we interact with the factor, factor_min and factor_max properties, i.e. the optimiser “sees” the well-scaled problem.

Parameters
namestr

Name

valuefloat or Quantity

Value

scalefloat, optional

Scale (sometimes used in fitting)

unitUnit or str, optional

Unit

minfloat, optional

Minimum (sometimes used in fitting)

maxfloat, optional

Maximum (sometimes used in fitting)

frozenbool, optional

Frozen? (used in fitting)

lon_0

A model parameter.

Note that the parameter value has been split into a factor and scale like this:

value = factor x scale

Users should interact with the value, quantity or min and max properties and consider the fact that there is a factor` and scale an implementation detail.

That was introduced for numerical stability in parameter and error estimation methods, only in the Gammapy optimiser interface do we interact with the factor, factor_min and factor_max properties, i.e. the optimiser “sees” the well-scaled problem.

Parameters
namestr

Name

valuefloat or Quantity

Value

scalefloat, optional

Scale (sometimes used in fitting)

unitUnit or str, optional

Unit

minfloat, optional

Minimum (sometimes used in fitting)

maxfloat, optional

Maximum (sometimes used in fitting)

frozenbool, optional

Frozen? (used in fitting)

parameters

Parameters (Parameters)

phi

A model parameter.

Note that the parameter value has been split into a factor and scale like this:

value = factor x scale

Users should interact with the value, quantity or min and max properties and consider the fact that there is a factor` and scale an implementation detail.

That was introduced for numerical stability in parameter and error estimation methods, only in the Gammapy optimiser interface do we interact with the factor, factor_min and factor_max properties, i.e. the optimiser “sees” the well-scaled problem.

Parameters
namestr

Name

valuefloat or Quantity

Value

scalefloat, optional

Scale (sometimes used in fitting)

unitUnit or str, optional

Unit

minfloat, optional

Minimum (sometimes used in fitting)

maxfloat, optional

Maximum (sometimes used in fitting)

frozenbool, optional

Frozen? (used in fitting)

phi_0
position

Spatial model center position

position_error

Get 95% containment position error as (EllipseSkyRegion)

r_0

A model parameter.

Note that the parameter value has been split into a factor and scale like this:

value = factor x scale

Users should interact with the value, quantity or min and max properties and consider the fact that there is a factor` and scale an implementation detail.

That was introduced for numerical stability in parameter and error estimation methods, only in the Gammapy optimiser interface do we interact with the factor, factor_min and factor_max properties, i.e. the optimiser “sees” the well-scaled problem.

Parameters
namestr

Name

valuefloat or Quantity

Value

scalefloat, optional

Scale (sometimes used in fitting)

unitUnit or str, optional

Unit

minfloat, optional

Minimum (sometimes used in fitting)

maxfloat, optional

Maximum (sometimes used in fitting)

frozenbool, optional

Frozen? (used in fitting)

tag = ['GeneralizedGaussianSpatialModel', 'gauss-general']
type

Methods Documentation

__call__(lon, lat, energy=None)

Call evaluate method

copy()

A deep copy.

static create(tag, model_type=None, *args, **kwargs)

Create a model instance.

Examples

>>> from gammapy.modeling.models import Model
>>> spectral_model = Model.create("pl-2", model_type="spectral", amplitude="1e-10 cm-2 s-1", index=3)
>>> type(spectral_model)
gammapy.modeling.models.spectral.PowerLaw2SpectralModel
static evaluate(lon, lat, lon_0, lat_0, r_0, eta, e, phi)[source]
evaluate_geom(geom)
classmethod from_dict(data)
classmethod from_parameters(parameters, **kwargs)

Create model from parameter list

Parameters
parametersParameters

Parameters for init

Returns
modelModel

Model instance

integrate_geom(geom)

Integrate model on Geom.

plot(ax=None, geom=None, **kwargs)

Plot spatial model.

Parameters
axAxes, optional

Axis

geomWcsGeom, optional

Geom to use for plotting.

**kwargsdict

Keyword arguments passed to plot()

Returns
axAxes, optional

Axis

plot_error(ax=None, **kwargs)

Plot position error

Parameters
axAxes, optional

Axis

**kwargsdict

Keyword arguments passed to plot()

Returns
axAxes, optional

Axis

plot_grid(geom=None, **kwargs)

Plot spatial model energy slices in a grid.

Parameters
geomWcsGeom, optional

Geom to use for plotting.

**kwargsdict

Keyword arguments passed to plot()

Returns
axAxes, optional

Axis

plot_interative(ax=None, geom=None, **kwargs)

Plot spatial model.

Parameters
axAxes, optional

Axis

geomWcsGeom, optional

Geom to use for plotting.

**kwargsdict

Keyword arguments passed to plot()

Returns
axAxes, optional

Axis

to_dict(full_output=False)

Create dict for YAML serilisation

to_region(**kwargs)[source]

Model outline (EllipseSkyRegion).