tensorflowprobabilitygamma-distribution

How can I pass multiple parameters to a DistributionLambda layer from Tensorflow probability?


I am building a model using Keras and Tensorflow probability that should output the parameters of a Gamma function (alpha and beta) instead of a single parameter as shown in the example below (t is passed to a Normal distribution function).

import tensorflow as tf
import tensorflow_probability as tfp
tfd = tfp.distributions

# Build model.
model = tf.keras.Sequential([
  tf.keras.layers.Dense(1),
  tfp.layers.DistributionLambda(lambda t: tfd.Normal(loc=t, scale=1)),
])

# Do inference.
model.compile(optimizer=tf.optimizers.Adam(learning_rate=0.05), loss=negloglik)
model.fit(x, y, epochs=500, verbose=False)

# Make predictions.
yhat = model(x_tst)

Instead of this I would like to output alpha and beta from two Dense layers and then pass this parameters to a Gamma distribution function.


Solution

  • Something like this?

    import tensorflow as tf
    tf.enable_eager_execution()
    
    print(tf.__version__) # 1.14.1-dev20190503
    
    import tensorflow_probability as tfp
    tfd = tfp.distributions
    
    X = np.random.rand(4, 1).astype(np.float32)
    
    d0 = tf.keras.layers.Dense(2)(X)
    s0, s1 = tf.split(d0, 2)
    dist = tfp.layers.DistributionLambda(lambda t: tfd.Gamma(t[0], t[1]))(s0, s1)
    
    dist.sample() 
    # <tf.Tensor: id=10580, shape=(2,), dtype=float32, numpy=array([1.1754944e-38, 1.3052921e-01], dtype=float32)>