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tfp.vi.squared_hellinger

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The Squared-Hellinger Csiszar-function in log-space.

tfp.vi.squared_hellinger(
    logu,
    name=None
)

A Csiszar-function is a member of,

F = { f:R_+ to R : f convex }.

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].

Args:

  • logu: float-like Tensor representing log(u) from above.
  • name: Python str name prefixed to Ops created by this function.

Returns:

  • squared_hellinger_of_u: float-like Tensor of the Csiszar-function evaluated at u = exp(logu).