Zobrazeno 1 - 10
of 789
pro vyhledávání: '"Goliński P"'
In this paper we examine various approaches to the notion of Poisson manifold in the context of Banach manifolds. Existing definitions are presented and differences between them are explored and illustrated with examples.
Comment: 21 pages
Comment: 21 pages
Externí odkaz:
http://arxiv.org/abs/2412.05391
For a unital non-simple $C^*$-algebra $\mathcal A$ we consider its Banach--Lie group $G$ of invertible elements. For a given closed ideal $\mathfrak k$ in $\mathcal A$, we consider the embedded Banach--Lie subgroup $K$ of $G$ of elements differing fr
Externí odkaz:
http://arxiv.org/abs/2410.22055
Autor:
Blaas, Arno, Goliński, Adam, Miller, Andrew, Zappella, Luca, Jacobsen, Jörn-Henrik, Heinze-Deml, Christina
We consider robustness to distribution shifts in the context of diagnostic models in healthcare, where the prediction target $Y$, e.g., the presence of a disease, is causally upstream of the observations $X$, e.g., a biomarker. Distribution shifts ma
Externí odkaz:
http://arxiv.org/abs/2410.19575
For a Banach--Lie group $G$ and an embedded Lie subgroup $K$ we consider the homogeneous Banach manifold $\mathcal M=G/K$. In this context we establish the most general conditions for a bounded operator $N$ acting on $Lie(G)$ to define a homogeneous
Externí odkaz:
http://arxiv.org/abs/2410.13557
Publikováno v:
SIGMA 20 (2024), 104, 18 pages
A hierarchy of differential equations on a Banach Lie-Poisson space related to the restricted Grassmannian is studied. Flows on the groupoid of partial isometries and on the restricted Grassmannian are described, and a momentum map picture is present
Externí odkaz:
http://arxiv.org/abs/2407.21605
The set of partial isometries in a W*-algebra possesses a structure of Banach Lie groupoid. In this paper the differential structure on the set of partial isometries over the restricted Grassmannian is constructed, which makes it into a Banach Lie gr
Externí odkaz:
http://arxiv.org/abs/2404.12847
Autor:
Goliński Piotr, Czerwiński Marek, Jørgensen Marit, Mølmann Jørgen A.B., Golińska Barbara, Taff Gregory
Publikováno v:
Open Life Sciences, Vol 13, Iss 1, Pp 589-598 (2018)
We investigated climatic trends in two contrasting locations in Europe at a regional level and at two specific sites, and we analysed how these trends are associated with the dry matter yield (DMY) of agriculturally improved grasslands. Trends of dif
Externí odkaz:
https://doaj.org/article/06c71ccdcb5142f68ed14dac7cc1d91e
The aim of the paper is to present the integrable systems on partial isometries which are related to the restricted Grassmannian in finite dimensional context. Some explicit solutions are obtained.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2311.07412
Autor:
Rodríguez-Gálvez, Borja, Blaas, Arno, Rodríguez, Pau, Goliński, Adam, Suau, Xavier, Ramapuram, Jason, Busbridge, Dan, Zappella, Luca
The mechanisms behind the success of multi-view self-supervised learning (MVSSL) are not yet fully understood. Contrastive MVSSL methods have been studied through the lens of InfoNCE, a lower bound of the Mutual Information (MI). However, the relatio
Externí odkaz:
http://arxiv.org/abs/2307.10907
Publikováno v:
WGMP 2022: Geometric Methods in Physics XXXIX, Trends in Mathematics. Birkh\"auser (255-268)
We construct a Banach Poisson-Lie group structure on the unitary group of a separable complex Hilbert space.
Comment: 12 pages, to appear in Proceedings of Workshop on Geometric Methods in Physics 2022 published by Birkhauser
Comment: 12 pages, to appear in Proceedings of Workshop on Geometric Methods in Physics 2022 published by Birkhauser
Externí odkaz:
http://arxiv.org/abs/2303.11795