Analytic, Differentiable and Measurable Diagonalizations in Symmetric Lie Algebras

E Malvetti, G Dirr, F Ende… - arXiv preprint arXiv …, 2022 - arxiv.org
We generalize several important results from the perturbation theory of linear operators to
the setting of semisimple orthogonal symmetric Lie algebras. These Lie algebras provide a …

Ivanov-regularised least-squares estimators over large RKHSs and their interpolation spaces

S Page, S Grünewälder - Journal of Machine Learning Research, 2019 - jmlr.org
We study kernel least-squares estimation under a norm constraint. This form of
regularisation is known as Ivanov regularisation and it provides better control of the norm of …

Joint simulation through orthogonal factors generated by the L-SHADE optimization method

B Sohrabian, S Soltani-Mohammadi, E Bakhtavar… - Spatial Statistics, 2021 - Elsevier
Due to its better results over the traditional co-simulation methods, joint simulation of
variables through orthogonal factors has gained popularity. In this approach, practitioners …

The Goldenshluger–Lepski method for constrained least-squares estimators over RKHSs

S Page, S Grünewälder - Bernoulli, 2021 - projecteuclid.org
The Goldenshluger-Lepski method for constrained least-squares estimators over RKHSs Page 1
Bernoulli 27(4), 2021, 2241–2266 https://doi.org/10.3150/20-BEJ1307 The Goldenshluger–Lepski …

Regular one-parameter groups, reflection positivity and their application to Hankel operators and standard subspaces

J Schober - arXiv preprint arXiv:2406.04241, 2024 - arxiv.org
Standard subspaces are a well studied object in algebraic quantum field theory (AQFT).
Given a standard subspace ${\tt V} $ of a Hilbert space $\mathcal {H} $, one is interested in …

Reduced Control Systems & Quantum Control Theory

E Malvetti - 2024 - mediatum.ub.tum.de
This thesis develops a method of reduced control systems and applies it to quantum control
theory. First we address open Markovian quantum systems with fast unitary control, which …

Bounds on the first Betti number-an approach via Schatten norm estimates on semigroup differences

M Hansmann, C Rose, P Stollmann - arXiv preprint arXiv:1810.12205, 2018 - arxiv.org
We derive new estimates for the first Betti number of compact Riemannian manifolds. Our
approach relies on the Birman-Schwinger principle and Schatten norm estimates for …

[图书][B] Reproducing-Kernel Hilbert Space Regression with Notes on the Wasserstein Distance

S Page - 2019 - search.proquest.com
We study kernel least-squares estimators for the regression problem subject to a norm
constraint. We bound the squared L 2 error of our estimators with respect to the covariate …

Bounds on the First Betti Number: An Approach via Schatten Norm Estimates on Semigroup Differences

M Hansmann, C Rose, P Stollmann - The Journal of Geometric Analysis, 2022 - Springer
We derive new estimates for the first Betti number of compact Riemannian manifolds. Our
approach relies on the Birman–Schwinger principle and Schatten norm estimates for …

Multivariate geostatistical estimation using minimum spatial cross-correlation factors (Case study: Cubuk Andesite quarry, Ankara, Turkey)

B Sohrabian, R Mikaeil, R Hasanpour… - Journal of Mining and …, 2018 - jme.shahroodut.ac.ir
The quality properties of andesite (Unit Volume Weight, Uniaxial Compression Strength,
Los500, etc.) are required to determine the exploitable blocks and their sequence of …