Results 71 to 80 of about 6,838,637 (208)
Sparse Minimum Redundancy Maximum Relevance for Feature Selection
ABSTRACT We propose a feature screening method that integrates both feature–feature and feature–target relationships. Inactive features are identified via a penalized minimum Redundancy Maximum Relevance (mRMR) procedure, which is the continuous version of the classical mRMR penalized by a non‐convex regularizer, and where the parameters estimated as ...
Peter Naylor +3 more
wiley +1 more source
Convergence and combinatorics of the Reverse algorithm
Abstract We study the Reverse algorithm, a multidimensional continued fraction algorithm, which is not unimodular. We show that the Reverse algorithm is ergodic and, by proving that its second Lyapunov exponent is negative, that it is a.e. exponentially convergent.
Hiroaki Ito +2 more
wiley +1 more source
Singularity of non‐pluripolar cohomology classes
Abstract We establish a relation between Lelong numbers and the full mass property of relative non‐pluripolar products. We use this relation to prove that if the restricted volume of a big class α$\alpha$ along an effective divisor D$D$ has full mass, then the Lelong numbers of the non‐pluripolar class ⟨αn−1⟩$\langle \alpha ^{n-1}\rangle$ at every ...
Duc‐Bao Nguyen +2 more
wiley +1 more source
Cauchy identities for staircase matrices
Abstract The well‐known Cauchy identity expresses the product of terms (1−xiyj)−1${(1-{x}_{i}{y}_{j})}^{-1}$ for (i,j)$(i,j)$ indexing entries of a rectangular m×n$m\ensuremath{\times{}}n$‐matrix as a sum over partitions λ$\lambda $ of products of Schur polynomials: sλ(x)sλ(y)${s}_{\lambda}(x){s}_{\lambda}(y)$.
Evgeny Feigin +2 more
wiley +1 more source
Cartwright–Sturmfels Hilbert schemes
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley +1 more source
On the decomposition of sets of reals to borel sets
Levy, A., Solovay, R.M.
openaire +2 more sources
Uniformization of cofat domains on metric two‐spheres
Abstract We extend Schramm's cofat uniformization theorem to cofat domains on upper Ahlfors 2‐regular metric two‐spheres X$X$. Specifically, we show that if Ω⊂X$\Omega \subset X$ is a cofat domain, then there exists a π2$\frac{\pi }{2}$‐quasiconformal homeomorphism f:Ω→D$f: \Omega \rightarrow D$ onto a circle domain D⊂S2$D \subset \mathbb {S}^2 ...
Chengxi Li, Kai Rajala
wiley +1 more source
Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley +1 more source
Equivariant spaces of matrices of constant corank one
Abstract We classify all irreducible G$G$‐equivariant subspaces of Hom(V1,V2)$\operatorname{Hom}(V_1,V_2)$ of constant corank one, where G$G$ is a reductive group over an algebraically closed field of characteristic zero and Vi$V_i$ are irreducible representations.
Ada Boralevi +2 more
wiley +1 more source

