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3 changes: 2 additions & 1 deletion lightweight_mmm/lightweight_mmm.py
Original file line number Diff line number Diff line change
Expand Up @@ -64,7 +64,8 @@
_NAMES_TO_MODEL_TRANSFORMS = immutabledict.immutabledict({
"hill_adstock": models.transform_hill_adstock,
"adstock": models.transform_adstock,
"carryover": models.transform_carryover
"carryover": models.transform_carryover,
"hill_carryover": models.transform_hill_carryover
})
_MODEL_FUNCTION = models.media_mix_model

Expand Down
88 changes: 86 additions & 2 deletions lightweight_mmm/models.py
Original file line number Diff line number Diff line change
Expand Up @@ -87,7 +87,9 @@ def __call__(
"adstock":
frozenset((_EXPONENT, _LAG_WEIGHT)),
"hill_adstock":
frozenset((_LAG_WEIGHT, _HALF_MAX_EFFECTIVE_CONCENTRATION, _SLOPE))
frozenset((_LAG_WEIGHT, _HALF_MAX_EFFECTIVE_CONCENTRATION, _SLOPE)),
"hill_carryover":
frozenset((_AD_EFFECT_RETENTION_RATE, _PEAK_EFFECT_DELAY, _EXPONENT, _HALF_MAX_EFFECTIVE_CONCENTRATION, _SLOPE)),
})

GEO_ONLY_PRIORS = frozenset((_COEF_SEASONALITY,))
Expand Down Expand Up @@ -134,8 +136,21 @@ def _get_transform_default_priors() -> Mapping[str, Prior]:
dist.Gamma(concentration=1., rate=1.),
_SLOPE:
dist.Gamma(concentration=1., rate=1.)
}),
"hill_carryover":
immutabledict.immutabledict({
_AD_EFFECT_RETENTION_RATE:
dist.Beta(concentration1=1., concentration0=1.),
_PEAK_EFFECT_DELAY:
dist.HalfNormal(scale=2.),
_EXPONENT:
dist.Beta(concentration1=9., concentration0=1.),
_HALF_MAX_EFFECTIVE_CONCENTRATION:
dist.Gamma(concentration=1., rate=1.),
_SLOPE:
dist.Gamma(concentration=1., rate=1.)
}),
})
})


def transform_adstock(media_data: jnp.ndarray,
Expand Down Expand Up @@ -280,6 +295,75 @@ def transform_carryover(media_data: jnp.ndarray,
return media_transforms.apply_exponent_safe(data=carryover, exponent=exponent)


def transform_hill_carryover(media_data: jnp.ndarray,
custom_priors: MutableMapping[str, Prior],
number_lags: int = 13) -> jnp.ndarray:

"""Transforms the input data with the carryover and hill function.

Args:
media_data: Media data to be transformed. It is expected to have 2 dims for
national models and 3 for geo models.
custom_priors: The custom priors we want the model to take instead of the
default ones. The possible names of parameters for carryover and exponent
are "ad_effect_retention_rate_plate", "peak_effect_delay_plate" and
"exponent".
number_lags: Number of lags for the carryover function.

Returns:
The transformed media data.
"""
transform_default_priors = _get_transform_default_priors()["hill_carryover"]
with numpyro.plate(name=f"{_HALF_MAX_EFFECTIVE_CONCENTRATION}_plate",
size=media_data.shape[1]):
half_max_effective_concentration = numpyro.sample(
name=_HALF_MAX_EFFECTIVE_CONCENTRATION,
fn=custom_priors.get(
_HALF_MAX_EFFECTIVE_CONCENTRATION,
transform_default_priors[_HALF_MAX_EFFECTIVE_CONCENTRATION]))

with numpyro.plate(name=f"{_SLOPE}_plate",
size=media_data.shape[1]):
slope = numpyro.sample(
name=_SLOPE,
fn=custom_priors.get(_SLOPE, transform_default_priors[_SLOPE]))

with numpyro.plate(name=f"{_AD_EFFECT_RETENTION_RATE}_plate",
size=media_data.shape[1]):
ad_effect_retention_rate = numpyro.sample(
name=_AD_EFFECT_RETENTION_RATE,
fn=custom_priors.get(
_AD_EFFECT_RETENTION_RATE,
transform_default_priors[_AD_EFFECT_RETENTION_RATE]))

with numpyro.plate(name=f"{_PEAK_EFFECT_DELAY}_plate",
size=media_data.shape[1]):
peak_effect_delay = numpyro.sample(
name=_PEAK_EFFECT_DELAY,
fn=custom_priors.get(
_PEAK_EFFECT_DELAY, transform_default_priors[_PEAK_EFFECT_DELAY]))

with numpyro.plate(name=f"{_EXPONENT}_plate",
size=media_data.shape[1]):
exponent = numpyro.sample(
name=_EXPONENT,
fn=custom_priors.get(_EXPONENT,
transform_default_priors[_EXPONENT]))

half_max_effective_concentration = jnp.array(half_max_effective_concentration)
slope = jnp.array(slope)
carryover = media_transforms.hill(media_transforms.carryover(
data=media_data,
ad_effect_retention_rate=ad_effect_retention_rate,
peak_effect_delay=peak_effect_delay,
number_lags=number_lags),half_max_effective_concentration=half_max_effective_concentration,
slope=slope)

if media_data.ndim == 3:
exponent = jnp.expand_dims(exponent, axis=-1)
return carryover


def media_mix_model(
media_data: jnp.ndarray,
target_data: jnp.ndarray,
Expand Down