Did You See Singularities ?





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The origin is a singularity of X^3-Y^5=0.

The posterior distribution Z=exp(-(X^3-Y^5)^2) concentrates on the singularity.

Imagine the parameter space of deep learning which contains severe singularities.


Mathematics



The origin is a singularity of Y^2-X^3+X^2=0.

The posterior distribution Z=exp(-(Y^2-X^3+X^2)^2) concentrates on the singularity.

Mathematics