other · Zenodo (CERN European Organization for Nuclear Research) · 2025

zeusindomitable-max/Manifold-Kernel: Manifold-Kernel: Heat-Kernel Regularization v1.0.0

zeusindomitable-max

Cited by 0Open access

Abstract

Initial release of the Heat-Kernel Regularization framework. Features Implementation of Heat-Kernel Regularization on Riemannian manifolds S² manifold geometry with metric tensor and geodesic distance Seeley-DeWitt asymptotic expansion for regularization Comprehensive mathematical foundation documentation Full test suite with CI/CD automation Mathematical Foundation This package implements the theoretical framework from: Seeley-DeWitt heat kernel expansion Variational regularization on parameter manifolds Geometric deep learning principles Usage from heat_kernel import SphereManifold, HeatKernelRegularizer manifold = SphereManifold() regularizer = HeatKernelRegularizer(manifold)

Cite this paper

APA 7

zeusindomitable-max. (2025). zeusindomitable-max/Manifold-Kernel: Manifold-Kernel: Heat-Kernel Regularization v1.0.0. Zenodo (CERN European Organization for Nuclear Research). https://doi.org/10.5281/zenodo.17527421

MLA 9

zeusindomitable-max. “zeusindomitable-max/Manifold-Kernel: Manifold-Kernel: Heat-Kernel Regularization v1.0.0.” Zenodo (CERN European Organization for Nuclear Research), 2025, https://doi.org/10.5281/zenodo.17527421.

Chicago

zeusindomitable-max. 2025. “zeusindomitable-max/Manifold-Kernel: Manifold-Kernel: Heat-Kernel Regularization v1.0.0.” Zenodo (CERN European Organization for Nuclear Research). https://doi.org/10.5281/zenodo.17527421.

Harvard

zeusindomitable-max (2025) ‘zeusindomitable-max/Manifold-Kernel: Manifold-Kernel: Heat-Kernel Regularization v1.0.0’, Zenodo (CERN European Organization for Nuclear Research). Available at: https://doi.org/10.5281/zenodo.17527421.

BibTeX

@misc{zeusindomitablemax2025zeusindomitable,
  title = {{zeusindomitable-max/Manifold-Kernel: Manifold-Kernel: Heat-Kernel Regularization v1.0.0}},
  author = {zeusindomitable-max},
  journal = {Zenodo (CERN European Organization for Nuclear Research)},
  year = {2025},
  doi = {10.5281/zenodo.17527421}
}

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