Piotr Migus

collaborators

4 papers

math.AG2026

Generic degrees of real polynomial Keller maps with non-dense image

Piotr Migus

We determine the possible generic degrees of real polynomial Keller maps with non-dense image, where density is understood in the Euclidean topology. For every dimension $n \geq 3$ ,…

math.CV2026

Bi-Lipschitz invariance of Newton polygons along gradient canyons

Piotr Migus, LaurenÅ£iu PÄunescu, Mihai TibÄr

We study bi-Lipschitz right-equivalence of holomorphic function germs $f : (C^{2}, 0) \to (C, 0)$ via polar arcs and gradient canyons. For a polar arc $I^^{3}$ we consider th…

cs.LG2025

Newton-Puiseux Analysis for Interpretability and Calibration of Complex-Valued Neural Networks

Piotr Migus

Complex-valued neural networks (CVNNs) are particularly suitable for handling phase-sensitive signals, including electrocardiography (ECG), radar/sonar, and wireless in-phase/quadr…

math.CV2025

On higher Lipschitz invariants

Piotr Migus, LaurenÅ£iu PÄunescu, Mihai TibÄr

We find new bi-Lipschitz invariants for functions of two complex variables.