3 papers
stat.ML2025
Infinite-Dimensional Operator/Block Kaczmarz Algorithms: Regret Bounds and -Effectiveness
Halyun Jeong, Palle E. T. Jorgensen, Hyun-Kyoung Kwon +1
We present a variety of projection-based linear regression algorithms with a focus on modern machine-learning models and their algorithmic performance. We study the role of the rel…
math.GM2025
The Fractal Lie Derivative: Theory and Applications
Alireza Khalili Golmankhaneh, Elham Hashemzadeh, Carlo Cattani +2
This paper presents a new Lie theoretic approach to fractal calculus, which in turn yields such new results as a Fractal Noether's Theorem, a setting for fractal differential forms…
math.FA2025
Fuglede's conjecture, differential operators and unitary groups of local translations
Piyali Chakraborty, Dorin Ervin Dutkay, Palle E. T. Jorgensen
The purpose of the present paper is to address multiple aspects of the Fuglede question dealing (Fourier spectra vs geometry) with a variety of contexts where we make precise…