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Function supported on [-1, 1], smooth on the real line, with a round top.
tfp.math.round_exponential_bump_function(
x, name=None
)
Define
f(x) := exp(-1 / (1 - x**2)) * exp(1), for x in (-1, 1)
f(x) := 0, for |x| >= 1.
One can show that f(x)...
- is C^\infty on the real line.
- is supported on [-1, 1].
- is equal to 1 at x = 0.
- is strictly increasing on (-1, 0).
- is strictly decreasing on (0, 1).
- has gradient = 0 at 0.
See Bump Function
Args | |
---|---|
x
|
Floating-point Tensor. |
name
|
Optional Python str naming the operation.
|
Returns | |
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y
|
Tensor of same shape and dtype as x .
|