| vi_squared_hellinger {tfprobability} | R Documentation |
The Squared-Hellinger Csiszar-function in log-space
Description
A Csiszar-function is a member of F = { f:R_+ to R : f convex }.
Usage
vi_squared_hellinger(logu, name = NULL)
Arguments
logu |
|
name |
name prefixed to Ops created by this function. |
Details
The Squared-Hellinger Csiszar-function is:
f(u) = (sqrt(u) - 1)**2
This Csiszar-function induces a symmetric f-Divergence, i.e.,
D_f[p, q] = D_f[q, p].
Warning: this function makes non-log-space calculations and may
therefore be numerically unstable for |logu| >> 0.
Value
Squared-Hellinger_of_u: float-like Tensor of the Csiszar-function
evaluated at u = exp(logu).
See Also
Other vi-functions:
vi_amari_alpha(),
vi_arithmetic_geometric(),
vi_chi_square(),
vi_csiszar_vimco(),
vi_dual_csiszar_function(),
vi_fit_surrogate_posterior(),
vi_jeffreys(),
vi_jensen_shannon(),
vi_kl_forward(),
vi_kl_reverse(),
vi_log1p_abs(),
vi_modified_gan(),
vi_monte_carlo_variational_loss(),
vi_pearson(),
vi_symmetrized_csiszar_function()