Results 131 to 140 of about 36,312 (298)
Smooth Fano intrinsic Grassmannians of type $(2,n)$ with Picard number two [PDF]
arXiv, 2020 We introduce the notion of intrinsic Grassmannians which generalizes the well known weighted Grassmannians. An intrinsic Grassmannian is a normal projective variety whose Cox ring is defined by the Pl\"ucker ideal $I_{d,n}$ of the Grassmannian $\mathrm{Gr}(d,n)$. We give a complete classification of all smooth Fano intrinsic Grassmannians of type $(2,n)
arxiv
International Journal of Intelligent Systems, Volume 2025, Issue 1, 2025.The conventional machine learning (ML)–based channel state information (CSI) acquisition has overlooked the potential privacy disclosure and estimation overhead problem caused by transmitting pilot datasets during the estimation stage. In this paper, we propose federated edge learning for CSI acquisition to protect the data privacy in the Internet of ...
Yi Wang +4 more
wiley +1 more source
Sign variation, the Grassmannian, and total positivity [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The totally nonnegative Grassmannian is the set of $k$-dimensional subspaces $V$ of ℝ$n$ whose nonzero Plücker coordinates (i.e. $k × k$ minors of a $k × n$ matrix whose rows span $V$) all have the same sign.
Steven N. Karp
doaj +1 more source
Linear ind-Grassmannians [PDF]
arXiv, 2013 We consider ind-varieties obtained as direct limits of chains of embeddings $X_1\stackrel{\phi_1}{\hookrightarrow}\dots\stackrel{\phi_{m-1}}{\hookrightarrow} X_m\stackrel{\phi_m}{\hookrightarrow}X_{m+1}\stackrel{\phi_{m+1}}{\hookrightarrow}\dots$, where each $X_m$ is a Grassmannian or an isotropic Grassmannian (possibly mixing Grassmannians and ...
arxiv
The Rigidity Problem in Orthogonal Grassmannians [PDF]
arXiv, 2022 We classify rigid Schubert classes in orthogonal Grassmannians. More generally, given a representative $X$ of a Schubert class in an orthogonal Grassmannian, we give combinatorial conditions which guarantee that every linear space parametrized by $X$ meets a fixed linear space in the required dimension.
arxiv
Volumes of images of varieties in projective space and in Grassmannians [PDF]
, 1974 H. Alexander
openalex +2 more sources
AS‐XAI: Self‐Supervised Automatic Semantic Interpretation for CNN
Advanced Intelligent Systems, Volume 6, Issue 12, December 2024.Explainable artificial intelligence (XAI) provides transparent deep learning explanations. This article introduces self‐supervised automatic semantic interpretable XAI (AS‐XAI), a framework using orthogonal embedding spaces and principal component analysis (PCA) for global semantic interpretation, and offers effective interpretability for convolutional
Changqi Sun +3 more
wiley +1 more source
Harmonic Riemannian submersions between Riemannian symmetric spaces of noncompact type
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3634-3642, December 2024.Abstract We construct harmonic Riemannian submersions that are retractions from symmetric spaces of noncompact type onto their rank‐one totally geodesic subspaces. Among the consequences, we prove the existence of a nonconstant, globally defined complex‐valued harmonic morphism from the Riemannian symmetric space associated to a split real semisimple ...
F. E. Burstall
wiley +1 more source
Grassmannian and elliptic operators
, 1997 The conjecture about relation between infinite-dimensional Grassmannian and string theory is based on the fact that moduli spaces of algebraic curves are embedded into Grassmannian via Krichever construction.
Friedlander, Leonid, Schwarz, Albert
core +1 more source
Segre products of cluster algebras
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3777-3785, December 2024.Abstract We show that under mild assumptions the Segre product of two graded cluster algebras has a natural cluster algebra structure.
Jan E. Grabowski, Lauren Hindmarch
wiley +1 more source