Results 121 to 130 of about 274,693 (175)
Canonical analysis based on scatter matrices. [PDF]
In this paper, the influence functions and limiting distributions of the canonical correlations and coefficients based on affine equivariant scatter matrices are developed for elliptically symmetric distributions.
Croux, Christophe +4 more
core
On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension
Abstract It is known that in low dimensions Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations can be rewritten as commuting quasilinear bi‐Hamiltonian systems. We extend some of these results to arbitrary dimension N$N$ and arbitrary scalar product η$\eta$.
S. Opanasenko, R. Vitolo
wiley +1 more source
REPRESENTATION-CONSTRAINED CANONICAL CORRELATION-ANALYSIS: A HYBRIDIZATION OF CANONICAL CORRELATION AND PRINCIPAL COMPONENT ANALYSIS [PDF]
The classical canonical correlation analysis is extremely greedy to maximize the squared correlation between two sets of variables. As a result, if one of the variables in the dataset-1 is very highly correlated with another variable in the dataset-2 ...
Sudhanshu K MISHRA
core
Bordered Floer homology, handlebody detection, and compressing diffeomorphisms
Abstract We show that, up to connected sums with integer homology L$L$‐spaces, bordered Floer homology detects handlebodies, as well as whether a mapping class extends over a given handlebody or compression body. Using this, we combine ideas of Casson–Long with the theory of train tracks to give an algorithm using bordered Floer homology to detect ...
Akram Alishahi, Robert Lipshitz
wiley +1 more source
bk$b^k$‐Algebroids and the variety of foliation jets
Abstract We introduce and classify singular foliations of bk+1$b^{k+1}$‐type, which formalize the properties of vector fields that are tangent to a submanifold W⊂M$W \subset M$ to order k$k$. When W$W$ is a hypersurface, these structures are Lie algebroids generalizing the bk+1$b^{k+1}$‐tangent bundles introduced by Scott.
Francis Bischoff +2 more
wiley +1 more source
Canonical forms of pairs of complex matrices
Using methods of the representation theory of finite-dimensional associative algebras, the paper presents an explicit classification of the pairs of real subspaces of a finite-dimensional complex vector space in terms of complex matrices.
Dlab, Vlastimil +3 more
core +1 more source
On trilinear singular Brascamp–Lieb integrals
Abstract We classify trilinear singular Brascamp–Lieb forms, extending a result of Demeter and Thiele. We use results from the representation theory of finite‐dimensional algebras, namely the classification of indecomposable representations of the four subspace quiver.
Lars Becker +2 more
wiley +1 more source
Self‐consistent transfer operators for heterogeneous coupled maps
Abstract We investigate the dynamics of large heterogeneous network dynamical systems composed of nonlocally coupled chaotic maps. We show that the mean‐field limit of such systems is governed by a suitably defined Self‐consistent Transfer Operator (STO) acting on measures, describing the infinite‐size limits of dense graphs as graphons, thereby ...
Herbert M. C. Maquera +2 more
wiley +1 more source
Optimal bounds for local volumes of threefold singularities
Abstract We establish an optimal upper bound for local volumes of Gorenstein canonical non‐hypersurface threefold singularities. Specifically, we show that a klt threefold singularity with local volume at least 9 is either a hypersurface singularity or a quotient singularity.
Yuchen Liu
wiley +1 more source
Characteristic‐free normalized Nash blowup of toric varieties
Abstract We introduce conditions on cones of normal toric varieties under which the polyhedron defining the normalized Nash blowup does not depend on the characteristic of the base field. As a consequence, we deduce several results on the resolution of singularities properties of normalized Nash blowups.
Federico Castillo +3 more
wiley +1 more source

