Author

Lennon Jason Shikhman

Georgia Institute of Technology

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Preprint Sep 2026

Sharp spectral-scale stability for parabolic equations with measure-valued delay

We study the dependence of parabolic solution operators on a finite signed measure describing the delay law. For a positive self-adjoint generator with compact inverse, a weighted dyadic spectral sum characterizes the norm of the semigroup-integrated memory perturbation. An exact realization identity transfers the matc...

Lennon Jason Shikhman · 0 citations

Preprint Aug 2026

Discretization and Statistical Consistency of Functional Flow Matching

It is proved strong $L^2$ convergence of finite conditional velocity targets for every strongly consistent sequence of finite-rank reconstructions, with quantitative bounds for orthogonal projections and a point-sensor extension through a regularity space.

Lennon Jason Shikhman · 1 citation

#machine learning Jul 2026

Inverse Learning of Latent Risk-Neutral Densities from Irregular Option Quotes

The evidence supports target-dependent inductive bias, not a universal winner, in target-dependent inductive bias, and the evidence supports target-dependent inductive bias, not a universal winner in inductive bias.

Lennon Jason Shikhman, Michael Galarnyk, Aadi Dash et al. · arXiv.org · 0 citations