3 papers
math.NA2026
Wavelet-Based Observables for Koopman Analysis: An Extended Dynamic Mode Decomposition Framework
Cankat Tilki, Serkan Gugercin
We present an in-depth analysis of the Koopman semigroup via wavelet transform. Towards this goal, we start by introducing the wavelet-based observables and show that they are eige…
math.OC2026
From Interpolation to Optimality: Model Reduction for Infinite-Dimensional Linear Control Systems
Cankat Tilki, Tobias Breiten, Serkan Gugercin
We develop the interpolatory optimal model reduction framework for linear control systems posed on infinite dimensional state, input and output spaces. Specifically…
math.FA2024
Localisation of Regularised and Multiview Support Vector Machine Learning
Aurelian Gheondea, Cankat Tilki
We prove a few representer theorems for a localised version of the regularised and multiview support vector machine learning problem introduced by H.Q. Minh, L. Bazzani, and V. Mur…