@@ -420,34 +420,67 @@ def logistic_saturation(x, lam: npt.NDArray[np.float_] | float = 0.5):
420420
421421
422422class TanhSaturationParameters (NamedTuple ):
423- b : pt .TensorLike
424- """Saturation.
423+ """Container for tanh saturation parameters.
424+
425+ Parameters
426+ ----------
427+ b : pt.TensorLike
428+ Saturation
429+ c : pt.TensorLike
430+ Customer Aquisition Cost at 0.
431+
425432 """
433+
434+ b : pt .TensorLike
426435 c : pt .TensorLike
427- """Customer Aquisition Cost at 0.
428- """
429436
430437 def baseline (self , x0 : pt .TensorLike ) -> "TanhSaturationBaselinedParameters" :
431- """Change the parameterization to baselined at :math:`x_0`."""
438+ """Change the parameterization to baselined at :math:`x_0`.
439+
440+ Parameters
441+ ----------
442+ x0 : pt.TensorLike
443+ Baseline spend.
444+
445+ Returns
446+ -------
447+ TanhSaturationBaselinedParameters
448+ Baselined parameters.
449+
450+ """
432451 y_ref = tanh_saturation (x0 , self .b , self .c )
433452 gain_ref = y_ref / x0
434453 r_ref = y_ref / self .b
435454 return TanhSaturationBaselinedParameters (x0 , gain_ref , r_ref )
436455
437456
438457class TanhSaturationBaselinedParameters (NamedTuple ):
439- x0 : pt .TensorLike
440- """Baseline spend.
458+ """Representation of tanh saturation parameters in baselined form.
459+
460+ Parameters
461+ ----------
462+ x0 : pt.TensorLike
463+ Baseline spend.
464+ gain : pt.TensorLike
465+ ROAS at :math:`x_0`.
466+ r : pt.TensorLike
467+ Overspend Fraction.
468+
441469 """
470+
471+ x0 : pt .TensorLike
442472 gain : pt .TensorLike
443- """ROAS at :math:`x_0`.
444- """
445473 r : pt .TensorLike
446- """Overspend Fraction.
447- """
448474
449475 def debaseline (self ) -> TanhSaturationParameters :
450- """Change the parameterization to baselined to be classic saturation and cac."""
476+ """Change the parameterization to baselined to be classic saturation and cac.
477+
478+ Returns
479+ -------
480+ TanhSaturationParameters
481+ Classic saturation and cac parameters.
482+
483+ """
451484 saturation = (self .gain * self .x0 ) / self .r
452485 cac = self .r / (self .gain * pt .arctanh (self .r ))
453486 return TanhSaturationParameters (saturation , cac )
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