Could we get a Bfloat32?
Just in case, since I can see someone else being serious about this, I think the gist is that neural-networks tend to be fairly approximate things such that we're not particularly concerned with having a lot of precision in many cases. This use-case wouldn't seem to demand a 32-bit variant too often.
But.. if you want it anyway...
Higher-bit extensions would seem to be floating-point values that favor range-over-precision more than typical floating-point numerics with the same bit-count.
If we take that to an extreme, we can talk about ranges over infinities and infinitesimals -- this is, much like the hyperreal-number system [1].
And ya know what's funny?
Some guy's been pushing for such a primitive numeric data type [2] since the early-2000's [3]!
[1]: https://en.wikipedia.org/wiki/Hyperreal_number