"Boolean" (Net Decoder)

represents a decoder that converts a probability p to False if p<0.5, and True otherwise.

Details

NetDecoder[…][input] applies the decoder to an input to produce an output.
NetDecoder[…][{input₁,input₂,…}] applies the decoder to a list of inputs to produce a list of outputs.
The input to the decoder input is a scalar in the range 0≤input≤1.
NetDecoder[{"Boolean","InputDepth"->n}] can be used to specify that the input array has depth n. The default depth is 0, indicating that the input is a single real number.
A decoder can be attached to an output port of a net by specifying "port"->NetDecoder[…] when constructing the net.

NetDecoder["Boolean"][data,prop] can be used to calculate a specific property for the input data.
When a "Boolean" decoder is attached to a net, net[data,prop] or net[data,"oport"->prop] can be used to calculate a specific property of the decoded output.
The "Boolean" decoder supports the following properties prop:

	"Decision"	the Boolean class False or True with the highest probability (default)
	"Probability"	the probability p of class True
	"Entropy"	the entropy of the probability distribution
	"RandomSample"	sample a Boolean proportionally to its probability
	"RandomSample"->t	sample using a positive temperature t
	None	bypass decoding and return the input

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Create a Boolean decoder:

Decode a probability as either True or False:

The decoder maps over a batch of examples:

The decoder expects probabilities as inputs and acts as Identity with the property "Probability":

Compute the entropy:

Attach a "Boolean" decoder to the output port of an ElementwiseLayer:

Apply the layer to an input:

Create a "Boolean" decoder that converts a matrix of probabilities into a matrix of Boolean values:

Attach the decoder to a net and apply it to an input:

Obtain the probability of the positive class:

Compute the entropy of each Bernoulli distribution:

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