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Tangent space of M for distributions supported on all of R^n.
Inherits From: TangentSpace
This subclass covers full-rank distributions on n-dimensional manifolds. In this common case we can take the basis to be the standard basis for R^n, so we need not explicitly represent it at all.
Methods
transform_coordinatewise
transform_coordinatewise(
x, f
)
Same as transform_dimension_preserving, for a coordinatewise f.
Default falls back to transform_dimension_preserving, which may
be overridden in subclasses.
| Args | |
|---|---|
x
|
same as in transform_dimension_preserving.
|
f
|
same as in transform_dimension_preserving.
|
| Returns | |
|---|---|
density
|
A Tensor representing the density correction of f at x
|
space
|
A TangentSpace representing the tangent to fM at f(x)
|
| Raises | |
|---|---|
NotImplementedError
|
if the TangentSpace subclass does not implement
transform_dimension_preserving.
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transform_dimension_preserving
transform_dimension_preserving(
x, f
)
Same as transform_general, assuming f goes from R^n to R^n.
Default falls back to transform_general, which may be overridden
in subclasses.
| Args | |
|---|---|
x
|
same as in transform_general.
|
f
|
same as in transform_general.
|
| Returns | |
|---|---|
density
|
A Tensor representing the density correction of f at x
|
space
|
A TangentSpace representing the tangent to fM at f(x)
|
| Raises | |
|---|---|
NotImplementedError
|
if the TangentSpace subclass does not implement
transform_general.
|
transform_general
transform_general(
x, f
)
If the bijector is weird, fall back to the general case.
transform_projection
transform_projection(
x, f
)
Same as transform_general, with f a projection on some coordinates.
Default falls back to transform_general, which may be overridden
in subclasses.
| Args | |
|---|---|
x
|
same as in transform_general.
|
f
|
same as in transform_general.
|
| Returns | |
|---|---|
density
|
A Tensor representing the density correction of f at x
|
space
|
A TangentSpace representing the tangent to fM at f(x)
|
| Raises | |
|---|---|
NotImplementedError
|
if the TangentSpace subclass does not implement
transform_general.
|