Function¶

class probnum.functions.Function(input_shape, output_shape=())[source]¶

Bases: ABC

Callable with information about the shape of expected in- and outputs.

This class represents a, uni- or multivariate, scalar- or tensor-valued, mathematical function. Hence, the call method should not have any observable side-effects. Instances of this class can be added and multiplied by a scalar, which means that they are elements of a vector space.

Parameters:

input_shape (ShapeLike) – Input shape.
output_shape (ShapeLike) – Output shape.

See also

LambdaFunction: Define a Function from an anonymous function.
Zero: Zero function.

Attributes Summary

`input_ndim`	Syntactic sugar for `len(input_shape)`.
`input_shape`	Shape of the function's input.
`output_ndim`	Syntactic sugar for `len(output_shape)`.
`output_shape`	Shape of the function's output.

Methods Summary

__call__(x)

Evaluate the function at a given input.

Attributes Documentation

input_ndim¶: Syntactic sugar for len(input_shape).

input_shape¶

Shape of the function’s input.

For a scalar-input function, this is an empty tuple.

output_ndim¶: Syntactic sugar for len(output_shape).

output_shape¶

Shape of the function’s output.

For scalar-valued function, this is an empty tuple.

Methods Documentation

__call__(x)[source]¶

Evaluate the function at a given input.

The function is vectorized over the batch shape of the input.

Parameters:: x (ArrayLike) – shape= batch_shape + input_shape – (Batch of) input(s) at which to evaluate the function.
Returns:: shape= batch_shape + output_shape – Function evaluated at the given (batch of) input(s).
Return type:: fx
Raises:: ValueError – If the shape of x does not match input_shape along its last dimensions.