vi_t_power {tfprobability} | R Documentation |
The T-Power Csiszar-function in log-space
Description
A Csiszar-function is a member of F = { f:R_+ to R : f convex }
.
Usage
vi_t_power(logu, t, self_normalized = FALSE, name = NULL)
Arguments
logu |
|
t |
|
self_normalized |
|
name |
name prefixed to Ops created by this function. |
Details
When self_normalized = True
the T-Power Csiszar-function is:
f(u) = s [ u**t - 1 - t(u - 1) ] s = { -1 0 < t < 1 } { +1 otherwise }
When self_normalized = False
the - t(u - 1)
term is omitted.
This is similar to the amari_alpha
Csiszar-function, with the associated
divergence being the same up to factors depending only on t
.
Warning: when self_normalized = Truethis function makes non-log-space calculations and may therefore be numerically unstable for
|logu| >> 0'.
Value
t_power_of_u: float
-like Tensor
of the Csiszar-function
evaluated at u = exp(logu)
.
See Also
Other vi-functions#':
vi_total_variation()
,
vi_triangular()