Results 31 to 40 of about 599 (109)

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

On universal unbiasedness of delta estimators [PDF]

open access: yes, 1999
This paper considers delta estimators of a Radon-Nicodym derivative of a probability function with respect to a measure. Sufficient conditions for asymptotic unbiasedness and global rates of convergence, which can be improved by imposing ...
Delgado, Miguel A., Vidal-Sanz, Jose M.
core   +1 more source

Some bounds related to the 2‐adic Littlewood conjecture

open access: yesMathematika, Volume 72, Issue 2, April 2026.
Abstract For every irrational real α$\alpha$, let M(α)=supn⩾1an(α)$M(\alpha) = \sup _{n\geqslant 1} a_n(\alpha)$ denote the largest partial quotient in its continued fraction expansion (or ∞$\infty$, if unbounded). The 2‐adic Littlewood conjecture (2LC) can be stated as follows: There exists no irrational α$\alpha$ such that M(2kα)$M(2^k \alpha)$ is ...
Dinis Vitorino, Ingrid Vukusic
wiley   +1 more source

Randomly generated polytopes for testing mathematical programming algorithms [PDF]

open access: yes
Randomly generated polytopes are used frequently to test and compare algorithms for a variety of mathematical programming problems. These polytopes are constructed by generating linear inequality constraints with coefficients drawn independently from a ...
Dam, W.B. van
core   +1 more source

Discrepancy of arithmetic progressions in boxes and convex bodies

open access: yesMathematika, Volume 72, Issue 2, April 2026.
Abstract The combinatorial discrepancy of arithmetic progressions inside [N]:={1,…,N}$[N]:= \lbrace 1, \ldots, N\rbrace$ is the smallest integer D$D$ for which [N]$[N]$ can be colored with two colors so that any arithmetic progression in [N]$[N]$ contains at most D$D$ more elements from one color class than the other.
Lily Li, Aleksandar Nikolov
wiley   +1 more source

Variants of a theorem of Macbeath in finite‐dimensional normed spaces

open access: yesMathematika, Volume 72, Issue 2, April 2026.
Abstract A classical theorem of Macbeath states that for any integers d⩾2$d \geqslant 2$, n⩾d+1$n \geqslant d+1$, d$d$‐dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by inscribed convex polytopes with n$n$ vertices.
Zsolt Lángi, Shanshan Wang
wiley   +1 more source

Large deviations for singular and degenerate diffusion models in adaptive evolution [PDF]

open access: yes, 2009
In the course of Darwinian evolution of a population, punctualism is an important phenomenon whereby long periods of genetic stasis alternate with short periods of rapid evolutionary change.
Champagnat, Nicolas
core   +3 more sources

On Bounds for Norms of Reparameterized ReLU Artificial Neural Network Parameters: Sums of Fractional Powers of the Lipschitz Norm Control the Network Parameter Vector

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2135-2160, 15 March 2026.
ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley   +1 more source

Consistent Density Deconvolution under Partially Known Error Distribution [PDF]

open access: yes
We estimate the distribution of a real-valued random variable from contaminated observations. The additive error is supposed to be normally distributed, but with unknown variance.
Schwarz, Maik, Van Bellegem, Sébastien
core  

Home - About - Disclaimer - Privacy