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Yat Kernel: Geometric & Neural Computation

Updated 5 July 2026
  • Yat Kernel is a rational similarity operator that fuses quadratic alignment with distance-based regularization to capture localized geometric information in Euclidean spaces.
  • It serves as a Mercer kernel with a unique RKHS and universal approximation property when the bias parameter is positive, linking polynomial alignment with inverse-multiquadric kernels.
  • Employed in Neural Matter Networks and Yat-attention, the kernel replaces conventional activation functions with intrinsic self-normalization for stable and efficient training.

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OR \2626\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 OR \2626\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 OR \2626\2626 26\2626 26\2626 OR \2626\2626 OR \2626\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 OR \2626\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 OR \2626\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 26\2626 OR \2626\2626

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