HistogramPDF#

class zfit.pdf.HistogramPDF(data, extended=None, norm=None, name='HistogramPDF')[source]#

Bases: BaseBinnedPDFV1

Binned PDF resembling a histogram.

Simple histogram PDF that can be used to model a histogram as a PDF.

Parameters
  • data (Union[PlottableHistogram, Iterable[PlottableHistogram]]) – Histogram to be used as PDF.

  • extended (Union[bool, TypeVar(ParamTypeInput, zfit.core.interfaces.ZfitParameter, Union[int, float, complex, Tensor, zfit.core.interfaces.ZfitParameter]), None]) – ​The overall yield of the PDF. If this is parameter-like, it will be used as the yield, the expected number of events, and the PDF will be extended. An extended PDF has additional functionality, such as the ext_* methods and the counts (for binned PDFs).​​If True, the PDF will be extended automatically if the PDF is extended using the total number of events in the histogram. This is the default.​

  • norm (Optional[zfit.Space]) – ​Normalization of the PDF. By default, this is the same as the default space of the PDF.​

  • name (str) – ​Human-readable name or label of the PDF for better identification. Has no programmatical functional purpose as identification.​

add_cache_deps(cache_deps, allow_non_cachable=True)#

Add dependencies that render the cache invalid if they change.

Parameters
  • cache_deps (Union[zfit.core.interfaces.ZfitGraphCachable, Iterable[zfit.core.interfaces.ZfitGraphCachable]]) –

  • allow_non_cachable (bool) – If True, allow cache_dependents to be non-cachables. If False, any cache_dependents that is not a ZfitGraphCachable will raise an error.

Raises

TypeError – if one of the cache_dependents is not a ZfitGraphCachable _and_ allow_non_cachable if False.

counts(x=None, norm=None)#

Calculate the number of events in each bin.

This is the integrals of the PDF in each bin.

Parameters
  • x (Union[PlottableHistogram, Iterable[PlottableHistogram], None]) – ​Data for the binned PDF. The returned counts correspond to the binned axis in x.​

  • norm (Optional[zfit.Space]) – ​Normalization of the counts. This normalizes the counts so that the actual sum of all counts is equal to the yield.​

Returns

A histogram with the number of events in each bin.

Return type

ZfitBinnedData

create_sampler(n=None, limits=None, fixed_params=True)#

Create a Sampler that acts as Data but can be resampled, also with changed parameters and n.

If limits is not specified, space is used (if the space contains limits). If n is None and the model is an extended pdf, ‘extended’ is used by default.

Parameters
  • n

    The number of samples to be generated. Can be a Tensor that will be or a valid string. Currently implemented:

    • ’extended’: samples poisson(yield) from each pdf that is extended.

  • limits – From which space to sample.

  • fixed_params – A list of Parameters that will be fixed during several resample calls. If True, all are fixed, if False, all are floating. If a Parameter is not fixed and its value gets updated (e.g. by a Parameter.set_value() call), this will be reflected in resample. If fixed, the Parameter will still have the same value as the Sampler has been created with when it resamples.

Returns

BinnedSampler

Raises
  • NotExtendedPDFError – if ‘extended’ is chosen (implicitly by default or explicitly) as an option for n but the pdf itself is not extended.

  • ValueError – if n is an invalid string option.

  • InvalidArgumentError – if n is not specified and pdf is not extended.

property dtype: DType#

The dtype of the object.

Return type

DType

ext_integrate(limits, norm=None, *, options=None, norm_range=None)#

Extended integral of the PDF, i.e. the expected counts or the integral scaled by the yield.

Parameters
  • limits (Union[Tuple[Tuple[float, ...]], Tuple[float, ...], bool, zfit.Space]) – ​Limits of the integration.​

  • norm (Union[Tuple[Tuple[float, ...]], Tuple[float, ...], bool, zfit.Space, None]) – ​Normalization of the integration. By default, this is the same as the default space of the PDF. False means no normalization and returns the unnormed integral.​

  • options

    ​Options for the integration. Additional options for the integration. Currently supported options are: - type: one of (bins)

    This hints that bins are integrated. A method that is vectorizable, non-dynamic and therefore less suitable for complicated functions is chosen.​

Return type

Union[float, Tensor]

Returns

Scalar integration value.

ext_pdf(x, norm=None, *, norm_range=None)#

Probability density function scaled by yield, evaluated at x or in the bins of x

Parameters
  • x (Union[float, Tensor]) – ​Values to evaluate the PDF at. If this is a ZfitBinnedData-like object, a histogram of densities will be returned. If x is a ZfitUnbinnedData-like object, the densities will be evaluated at the points of x.​

  • norm (Union[Tuple[Tuple[float, ...]], Tuple[float, ...], bool, zfit.Space, None]) – ​Normalization of the function. By default, this is the norm of the PDF (which by default is the same as the space of the PDF).​

Returns

binnedpdf.out.problike| If the input was unbinned, it returns an array

of shape (nevents,). If the input was binned, the dimensions and ordering of the axes corresponds to the input axes.​

Return type

|@doc

get_cache_deps(only_floating=True)#

Return a set of all independent Parameter that this object depends on.

Parameters

only_floating (bool) – If True, only return floating Parameter

Return type

OrderedSet

get_dependencies(only_floating=True)#

DEPRECATED FUNCTION

Deprecated: THIS FUNCTION IS DEPRECATED. It will be removed in a future version. Instructions for updating: Use get_params instead if you want to retrieve the independent parameters or get_cache_deps in case you need the numerical cache dependents (advanced).

Return type

OrderedSet

get_params(floating=True, is_yield=None, extract_independent=True, only_floating=<class 'zfit.util.checks.NotSpecified'>)#

Recursively collect parameters that this object depends on according to the filter criteria.

Which parameters should be included can be steered using the arguments as a filter.
  • None: do not filter on this. E.g. floating=None will return parameters that are floating as well as

    parameters that are fixed.

  • True: only return parameters that fulfil this criterion

  • False: only return parameters that do not fulfil this criterion. E.g. floating=False will return

    only parameters that are not floating.

Parameters
  • floating (bool | None) – if a parameter is floating, e.g. if floating() returns True

  • is_yield (bool | None) – if a parameter is a yield of the _current_ model. This won’t be applied recursively, but may include yields if they do also represent a parameter parametrizing the shape. So if the yield of the current model depends on other yields (or also non-yields), this will be included. If, however, just submodels depend on a yield (as their yield) and it is not correlated to the output of our model, they won’t be included.

  • extract_independent (bool | None) – If the parameter is an independent parameter, i.e. if it is a ZfitIndependentParameter.

Return type

set[ZfitParameter]

property name: str#

The name of the object.

Return type

str

property norm_range#

DEPRECATED FUNCTION

Deprecated: THIS FUNCTION IS DEPRECATED. It will be removed in a future version. Instructions for updating: use norm instead.

pdf(x, norm=None, *, norm_range=None)#

Probability density function, evaluated at x or in the bins of x

Parameters
  • x (Union[float, Tensor]) – ​Values to evaluate the PDF at. If this is a ZfitBinnedData-like object, a histogram of densities will be returned. If x is a ZfitUnbinnedData-like object, the densities will be evaluated at the points of x.​

  • norm (Union[Tuple[Tuple[float, ...]], Tuple[float, ...], bool, zfit.Space, None]) – ​Normalization of the function. By default, this is the norm of the PDF (which by default is the same as the space of the PDF).​

Returns

probability density

Return type

Array-like

register_cacher(cacher)#

Register a cacher that caches values produces by this instance; a dependent.

Parameters

cacher (Union[zfit.core.interfaces.ZfitGraphCachable, Iterable[zfit.core.interfaces.ZfitGraphCachable]]) –

rel_counts(x=None, norm=None)#

Calculate the relative number of events in each bin.

This is the integrals of the PDF in each bin divided by the integral of the PDF over the whole space. It is not equal to the density but rather a histogram scaled to 1.

Parameters
  • x (Union[PlottableHistogram, Iterable[PlottableHistogram], None]) – ​Data for the binned PDF. The returned counts correspond to the binned axis in x.​

  • norm (Optional[zfit.Space]) – ​Normalization of the counts. This normalizes the counts so that the actual sum of all counts is equal to the yield.​

Returns

A histogram with the relative number of events in each bin.

Return type

ZfitBinnedData

reset_cache_self()#

Clear the cache of self and all dependent cachers.

sample(n=None, limits=None)#

Draw a random binned sample from the PDF.

Parameters
  • n (Optional[int]) – ​Number of samples to draw. For an extended PDF, the argument is optional and will be the poisson-fluctuated expected number of events, i.e. the yield.​

  • limits (Union[Tuple[Tuple[float, ...]], Tuple[float, ...], bool, zfit.Space, None]) – ​Limits of the sampling. By default, this is the same as the default space of the PDF.​

Returns

Sampled dataset

Return type

ZfitBinnedData

to_binned(space, *, extended=None, norm=None)#

Convert the PDF to a binned PDF, returns self.

For compatibility with unbinned PDFs.

to_binneddata(**kwargs)#

Create an Asimov dataset as BinnedData using either counts (for extended) or rel_counts.

Parameters

() (**kwargs) – arguments to counts or rel_counts.

Returns

Binned data representing the Asimov dataset of this PDF.

Return type

BinnedData

to_hist(**kwargs)#

Create an Asimov histogram as Hist using either counts (for extended) or rel_counts.

Parameters

() (**kwargs) – arguments to counts or rel_counts.

Returns

Histogram representing the Asimov dataset of this PDF.

Return type

hist.Hist

to_unbinned()#

Convert the PDF to an unbinned PDF.

values(*, var=None)#

Histogram values that are either the counts or the normalized counts.

If the PDF is extended, the counts are returned, otherwise the normalized counts are returned.

Returns

Histogram values

Return type

ZfitBinnedData