Results 91 to 100 of about 157,300 (313)
On the Eigenspectrum of the Gram matrix and the generalisation error of kernel PCA
, 2004 In this paper we analyze the relationships between the eigenvalues of the m x m Gram matrix K for a kernel k(.,.) corresponding to a sample x1,...,xm drawn from a density p(x) and the eigenvalues of the corresponding continuous eigenproblem. We bound the
Shawe-Taylor, John +3 more
core +1 more source
Inverse Sturm-Liouville problems with fixed boundary conditions
Electronic Journal of Differential Equations, 2015 Necessary and sufficient conditions for two sequences $\{\mu_n\}_{n=0}^\infty$ and $\{ a_n\}_{n=0}^\infty$ to be the spectral data for a certain Sturm-Liouville problem are well known.
Yuri A. Ashrafyan, Tigran N. Harutyunyan
doaj
Eigenvalues and Perfect Matchings [PDF]
AMS classification: 05C50, 05C70, 05E30.graph;perfect matching;Laplacian matrix;eigenvalues.
Brouwer, A.E., Haemers, W.H.
core
Advanced Science, EarlyView.First‐principles calculations reveal that monolayer In2O${\rm In}_2{\rm O}$ hosts type‐II Dirac fermions near the Fermi level, which split into Weyl points under spin‐orbit coupling. The material exhibits negative and giant magnetoresistance, a pronounced spin Hall effect, and phonon‐mediated superconductivity at 1.5 K, establishing it as a unique ...
Qing‐Bo Liu +6 more
wiley +1 more source
Combinatorica, 1986 Let \(G=(V,E)\) be a graph. An \((n,d,c)\)-expander is any bipartite graph on the sets of vertices \(I\) (inputs) and \(O\) (outputs), where \(| I| =| O| =n\), the maximal degree of vertices is \(\underline{d}\), and \[ \operatorname{card} \{v\in V\mid vx\in E\text{ for some }x\in X\}\geq [1+c(1- \alpha /n)]\cdot \alpha, \] whenever \(X\subseteq I ...
openaire +3 more sources
Diverse Landscape of Tunable Magnetic, Topological, and Ferroelectric States in 2D Ti3Se3Te2
Advanced Science, EarlyView.Ti3Se3Te2 emerges as a multifunctional 2D van der Waals platform. The monolayer is a dynamically stable ferromagnetic quantum anomalous Hall insulator. In bilayers, two stacking configurations yield distinct phases: AA‐stacking hosts an altermagnetic quantum spin Hall insulator, while AA′‐stacking exhibits three‐state in‐plane ferroelectricity ...
Jiangtao Yu +5 more
wiley +1 more source
Bounds on separated pairs of subgraphs, eigenvalues and related polynomials [PDF]
We give a bound on the sizes of two sets of vertices at a given minimum distance (a separated pair of subgraphs) in a graph in terms of polynomials and the spectrum of the graph. We find properties of the polynomial optimizing the bound.
Dam, E.R. van
core
Variational principles for eigenvalues of the Klein-Gordon equation
, 2006 In this paper variational principles for eigenvalues of an abstract model of the Klein-Gordon equation with electromagnetic potential are established. They are used to characterize and estimate eigenvalues in cases where the essential spectrum has a gap ...
Matthias Langer +4 more
core +1 more source
Renormalisation of random hierarchial systems [PDF]
, 2003 This thesis considers a number of problems which are related to the study of random fractals. We define a class of iterations (which we call random hierarchical systems) of probability distributions, which are defined by applying a random map to a set of
Jordan, Jonathan., Jordan, Jonathan
core +1 more source
Broadening Hard‐Magnet Discovery Beyond Symmetry Constraints via Unified Effective Anisotropy
Advanced Science, EarlyView.A unified effective‐anisotropy descriptor (Keff) extends hard‐magnet screening across all seven crystal systems, beyond the uniaxial restriction of conventional searches. Machine‐learning screening of 9320 known ferromagnets and diffusion‐model generation together yield 38 rare‐earth‐free or ‐lean candidates with DFT‐validated magnetic hardness (κ > 1),
Hojae Kim +5 more
wiley +1 more source