Author

Dmitry Pasechnyuk-Vilensky

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Preprint Oct 2026

Chebyshev-Exact Acceleration under Hessian Variation, II: Computer-Assisted Variational Lower Bound

We study two-step recurrences with positive step sizes and nonnegative momentum coefficients whose terminal residual is the Chebyshev minimax polynomial on a prescribed spectral interval $[\mu,L]$. These recurrences have the same terminal error on a fixed quadratic, but their first-order responses to stepwise Hessian p...

Dmitry Pasechnyuk-Vilensky, Martin Takác · 0 citations

#machine learning Preprint Jul 2025

Learning Latent Graph Geometry via Fixed-Point Schr\"odinger-Type Activation: A Theoretical Study

Under finite-dimensional strong-monotonicity and admissible-lift assumptions, the corresponding represented hypothesis classes coincide among resolvent feed-forward networks, graph-stationary networks, supra-graph stationary systems, and sheaf-based architectures with unitary connection.

Dmitry Pasechnyuk-Vilensky, Martin Takác · 0 citations