Results 111 to 120 of about 3,080 (245)
Repelled Point Processes With Application to Numerical Integration
ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat +3 more
wiley +1 more source
Gibbs states of lattice spin systems with unbounded disorder
The Gibbs states of a spin system on the lattice Zd with pair interactions Jxyσ(x) σ(y) are studied. Here ∈ E, i.e. x and y are neighbors in Zd. The intensities Jxy and the spins σ(x), σ(y) are arbitrarily real.
Yu. Kondratiev, Yu. Kozitsky, T. Pasurek
doaj +1 more source
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
There Is More Than Meets the Eye: The Dual Role of Perception in Shaping Color Lexicons
Abstract Color's ultimate physical reality is continuous, and yet human beings “cut” this continuum into a rather small number of categories reflected in their languages’ color lexicon. There are striking cross‐linguistic differences in the color lexicon, which are primarily attributed to differences in communicative needs, but also striking ...
Mathilde Josserand +3 more
wiley +1 more source
Conditional Quantization for Some Discrete Distributions
Quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with support containing a finite number of elements.
Edgar A. Gonzalez +3 more
doaj +1 more source
On the set of orbits for a Borel subgroup
Let \(X = G/H\) be a homogeneous variety for a connected complex reductive group \(G\) and let \(B\) be a Borel subgroup of \(G\). In many situations, it is necessary to study the \(B\)-orbits in \(X\). An equivalent setting of this problem is to analyze \(H\)-orbits in the flag variety \(G/B\).
openaire +1 more source
Outer measure, Borel sets and Lebesgue measure in the plane [PDF]
In this paper, the essential properties of general Lebesgue outer measure are discussed. The complete measure space, consisting of the general Lebesgue outer measure restricted to the measurable sets, is developed and this measure is shown to be unique ...
Heming, David Millar
core
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
Multidual Complex Numbers and the Hyperholomorphicity of Multidual Complex-Valued Functions
We develop a rigorous algebraic–analytic framework for multidual complex numbers DCn within the setting of Clifford analysis and establish a comprehensive theory of hyperholomorphic multidual complex-valued functions.
Ji Eun Kim
doaj +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source

