def ae_latent_softmax(latents_pred, latents_discrete_hot, vocab_size, hparams):
  """Latent prediction and loss.

  Args:
    latents_pred: Tensor of shape [..., depth].
    latents_discrete_hot: Tensor of shape [..., vocab_size].
    vocab_size: an int representing the vocab size.
    hparams: HParams.

  Returns:
    sample: Tensor of shape [...], a sample from a multinomial distribution.
    loss: Tensor of shape [...], the softmax cross-entropy.
  """
  with tf.variable_scope("latent_logits"):
    latents_logits = tf.layers.dense(latents_pred, vocab_size,
                                     name="logits_dense")
    if hparams.logit_normalization:
      latents_logits *= tf.rsqrt(1e-8 +
                                 tf.reduce_mean(tf.square(latents_logits)))
    loss = tf.nn.softmax_cross_entropy_with_logits_v2(
        labels=latents_discrete_hot, logits=latents_logits)

    # TODO(trandustin): tease this out from ae_latent_softmax.
    # we use just the loss portion to anchor prior / encoder on text.
    sample = multinomial_sample(latents_logits,
                                vocab_size,
                                hparams.sampling_method,
                                hparams.sampling_temp)
    return sample, loss