11 papers
Central Splitting, Division-Stable Residuals, and Opposite-Ring Transfer for Strongly C4*-Rings
Chandrasekhar Gokavarapu, Naveen Kumar Kakumanu, Sajani Lavanya Madasi +2
The known decomposition theorem for strongly \(\Cfourstar\)-modules gives a semisimple summand and a summand-square-free residual summand, with two-way Hom-orthogonality when the a…
Harmonic Analysis on Directed Networks via a Biorthogonal Laplacian Calculus for Non-Normal Digraphs
Chandrasekhar Gokavarapu, Komala Lakshmi Chinnam
Spectral graph signal processing is traditionally built on self-adjoint Laplacians, where orthogonal eigenbases yield an energy-preserving Fourier transform and a variational frequ…
Certified Learning under Distribution Shift: Sound Verification and Identifiable Structure
Chandrasekhar Gokavarapu, Sudhakar Gadde, Y. Rajasekhar +1
Proposition. Let be a predictor trained on a distribution and evaluated on a shifted distribution . Under verifiable regularity and complexity constraints, the excess ri…
Asymmetry in Spectral Graph Theory: Harmonic Analysis on Directed Networks via Biorthogonal Bases (Random-Walk Laplacian Formulation)
Chandrasekhar Gokavarapu
The operator-theoretic dichotomy underlying diffusion on directed networks is \emph{symmetry versus non-self-adjointness} of the Markov transition operator. In the reversible (deta…
Massively Parallel Reductions in Multivariate Polynomial Systems: Bridging the Symbolic Preprocessing Gap on GPGPU Architectures
Chandrasekhar Gokavarapu
Gröbner basis computation over multivariate polynomial rings remains one of the most powerful yet computationally hostile primitives in symbolic computation. While modern algorithm…
Derived Gamma Geometry II: Stable -Categories of Gamma-Modules, Derived Monoidal Structures, and Obstructions to Binary Shadows
Chandrasekhar Gokavarapu
Let \(\T\) be a commutative ternary \(\Gm\)-semiring in the sense of the triadic, \(\Gm\)-parametrized multiplication \(\{a,b,c\}_γ\). Building on the affine \(\Gm\)-spectrum \(\Sp…