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added k-means initialisation for Poisson HMMs #358

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16 changes: 12 additions & 4 deletions dynamax/hidden_markov_model/models/poisson_hmm.py
Original file line number Diff line number Diff line change
Expand Up @@ -45,14 +45,21 @@ def emission_shape(self):

def initialize(self, key=jr.PRNGKey(0),
method="prior",
emission_rates=None):
emission_rates=None,
emissions=None):
# Initialize the emission probabilities
if emission_rates is None:
if method.lower() == "prior":
prior = tfd.Gamma(self.emission_prior_concentration, self.emission_prior_rate)
emission_rates = prior.sample(seed=key, sample_shape=(self.num_states, self.emission_dim))
elif method.lower() == "kmeans":
raise NotImplementedError("kmeans initialization is not yet implemented!")
assert emissions is not None, "Need emissions to initialize the model with K-Means!"
from sklearn.cluster import KMeans
key, subkey = jr.split(key) # Create a random seed for SKLearn.
sklearn_key = jr.randint(subkey, shape=(), minval=0, maxval=2147483647) # Max int32 value.
km = KMeans(self.num_states, random_state=int(sklearn_key)).fit(emissions.reshape(-1, self.emission_dim))
## Cluster centers, also forms the Poisson emission rate
emission_rates = jnp.array(km.cluster_centers_)
else:
raise Exception("invalid initialization method: {}".format(method))
else:
Expand Down Expand Up @@ -136,7 +143,8 @@ def initialize(self, key=jr.PRNGKey(0),
method="prior",
initial_probs: Optional[Float[Array, "num_states"]]=None,
transition_matrix: Optional[Float[Array, "num_states num_states"]]=None,
emission_rates: Optional[Float[Array, "num_states emission_dim"]]=None
emission_rates: Optional[Float[Array, "num_states emission_dim"]]=None,
emissions: Optional[Float[Array, "num_timesteps emission_dim"]]=None
) -> Tuple[ParameterSet, PropertySet]:
"""Initialize the model parameters and their corresponding properties.

Expand All @@ -160,5 +168,5 @@ def initialize(self, key=jr.PRNGKey(0),
params, props = dict(), dict()
params["initial"], props["initial"] = self.initial_component.initialize(key1, method=method, initial_probs=initial_probs)
params["transitions"], props["transitions"] = self.transition_component.initialize(key2, method=method, transition_matrix=transition_matrix)
params["emissions"], props["emissions"] = self.emission_component.initialize(key3, method=method, emission_rates=emission_rates)
params["emissions"], props["emissions"] = self.emission_component.initialize(key3, method=method, emission_rates=emission_rates, emissions = emissions)
return ParamsPoissonHMM(**params), ParamsPoissonHMM(**props)