Binary classification on non-contractible manifolds is reformulated as a Yang-Mills-Higgs variational problem whose curvature encodes attention-like structures and yields an exact solution for XOR on the torus.
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Yang-Mills-Higgs: A Geometric Theory of Binary Labels on Non-Contractible Spaces
Binary classification on non-contractible manifolds is reformulated as a Yang-Mills-Higgs variational problem whose curvature encodes attention-like structures and yields an exact solution for XOR on the torus.