Results 91 to 100 of about 69,312 (204)
In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
wiley +1 more source
Tensor Changepoint Detection and Eigenbootstrap
ABSTRACT Tensor data consisting of multivariate outcomes over the items and across the subjects with longitudinal and cross‐sectional dependence are considered. A completely distribution‐free and tweaking‐parameter‐free detection procedure for changepoints at different locations is designed, which does not require training data.
Michal Pešta +2 more
wiley +1 more source
On Minkowski decomposition of Okounkov bodies on a Del Pezzo surface
We show that on a blow up of $P^2$ in $3$ general points there exists a finite set of nef divisors $P_1,ldots,P_s$ such that the Okounkov body $Delta(D)$ of an arbitrary effective $R$--divisor $D$ on $X$ is the Minkowski sum Delta(D)=sum_{i=1}
Patrycja Łuszcz-Świdecka
doaj
Boundary unique continuation in planar domains by conformal mapping
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley +1 more source
Lorentzian homogeneous structures with indecomposable holonomy
Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley +1 more source
Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley +1 more source
Some Brunn-Minkowski type inequalities for L p $L_{p}$ radial Blaschke-Minkowski homomorphisms
Schuster introduced radial Blaschke-Minkowski homomorphisms. Recently, they were generalized to L p $L_{p}$ radial Blaschke-Minkowski homomorphisms by Wang et al.
Ying Zhou, Weidong Wang
doaj +1 more source
Minkowski sums and Brownian exit times [PDF]
If C is a domain in R n , the Brownian exit time of C is denoted by T C . Given domains C and D in R n this paper gives an upper bound of the distribution function of T C+D when the distribution functions of T C and T D are known. The bound is sharp if C and D are parallel affine half-spaces.
openaire +2 more sources
This paper presents a unified framework for extending Jensen- and Mercer-type inequalities within the h-convex function space. By leveraging the supermultiplicative and superadditive properties of the weight function h ( t ) $h(t)$ , we refine classical ...
Sajid Ali, Rabia Bibi
doaj +1 more source
Measuring the convexity of compact sumsets with the Schneider non-convexity index
We study the Schneider non-convexity index of compact sets A ⊂ R n $A\subset \mathbb{R}^{n}$ , defined to be the smallest λ > 0 $\lambda >0$ such that the sumset A + λ conv ( A ) $A+\lambda \operatorname{conv}(A)$ is convex.
Mark Meyer
doaj +1 more source

