A Csiszar-function is a member of F = { f:R_+ to R : f convex }.
vi_t_power(logu, t, self_normalized = FALSE, name = NULL)t_power_of_u: float-like Tensor of the Csiszar-function
evaluated at u = exp(logu).
float-like Tensor representing log(u) from above.
Tensor of same dtype as logu and broadcastable shape.
logical indicating whether f'(u=1)=0. When
f'(u=1)=0 the implied Csiszar f-Divergence remains non-negative even
when p, q are unnormalized measures.
name prefixed to Ops created by this function.
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`.
Other vi-functions#':
vi_total_variation(),
vi_triangular()