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Joint Group Invariant Functions on Data-Parameter Domain Induce Universal Neural Networks
The symmetry and geometry of input data are considered to be encoded in the internal data representation inside the neural network, but the specific encoding rule has been less investigated.
The compression semigroup of the dual Vinberg cone
We investigate the semigroup associated to the dual Vinberg cone and prove its triple and Ol'shanski\u{\i} polar decompositions.
Group Theory Primary 20M20. Secondary 22E10
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