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Projects a batch of (support, weights) onto target_support.

Based on equation (7) in (Bellemare et al., 2017): In the rest of the comments we will refer to this equation simply as Eq7.

This code is not easy to digest, so we will use a running example to clarify what is going on, with the following sample inputs:

  • supports = [[0, 2, 4, 6, 8], [1, 3, 4, 5, 6]]
  • weights = [[0.1, 0.6, 0.1, 0.1, 0.1], [0.1, 0.2, 0.5, 0.1, 0.1]]
  • target_support = [4, 5, 6, 7, 8]

In the code below, comments preceded with 'Ex:' will be referencing the above values.

supports Tensor of shape (batch_size, num_dims) defining supports for the distribution.
weights Tensor of shape (batch_size, num_dims) defining weights on the original support points. Although for the CategoricalDQN agent these weights are probabilities, it is not required that they are.
target_support Tensor of shape (num_dims) defining support of the projected distribution. The values must be monotonically increasing. Vmin and Vmax will be inferred from the first and last elements of this tensor, respectively. The values in this tensor must be equally spaced.
validate_args Whether we will verify the contents of the target_support parameter.

A Tensor of shape (batch_size, num_dims) with the projection of a batch of (support, weights) onto target_support.

ValueError If target_support has no dimensions, or if shapes of supports, weights, and target_support are incompatible.