3 papers
cs.LG2026
Cone Extended Rayleigh Quotients for Directed Graph Learning: Minimax Spectral Certificates, Sensitivity, and Adaptive Control
Yavdat Sh. Il'yasov, Nur F. Valeev
Directed graph learning naturally leads to trainable nonsymmetric propagation operators with distinct right and left spectral structures. Building on the two-sided cone Rayleigh fr…
math.AP2026
Cone Minimax Principles for Non-Selfadjoint Operator Pencils
Yavdat Il'yasov, Nur Valeev
We propose a variational approach to principal spectral values of non-selfadjoint operator pencils , where the weight operator may be singu…
math.AP2026
Uniqueness of Ground State Solutions for a Defocusing Hartree Equation via Inverse Optimal Problems
Yavdat Il'yasov, Juntao Sun, Nur Valeev +1
We study a generalized defocusing Hartree equation with nonlocal exchange potential and repulsive Hartree--Fock interaction. Using an inverse optimal problem (IOP) approach, we pro…