Robust dimension free isoperimetry in Gaussian space

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Isoperimetry between exponential and Gaussian

We study the isoperimetric problem for product probability measures with tails between the exponential and the Gaussian regime. In particular we exhibit many examples where coordinate half-spaces are approximate solutions of the isoperimetric problem.

متن کامل

Approximate Gaussian isoperimetry for k sets

Given 2 ≤ k ≤ n, the minimal (n− 1)-dimensional Gaussian measure of the union of the boundaries of k disjoint sets of equal Gaussian measure in Rn whose union is Rn is of order √ log k. A similar results holds also for partitions of the sphere Sn−1 into k sets of equal Haar measure.

متن کامل

Robust estimation of dimension reduction space

Most dimension reduction methods based on nonparametric smoothing are highly sensitive to outliers and to data coming from heavy-tailed distributions. We show that the recently proposed methods by Xia et al. (2002) can be made robust in such a way that preserves all advantages of the original approach. Their extension based on the local one-step M-estimators is sufficiently robust to outliers a...

متن کامل

Dimension Reduction for Polynomials over Gaussian Space and Applications

We introduce a new technique for reducing the dimension of the ambient space of low-degree polynomials in the Gaussian space while preserving their relative correlation structure. As an application, we obtain an explicit upper bound on the dimension of an ε-optimal noise-stable Gaussian partition. In fact, we address the more general problem of upper bounding the number of samples needed to ε-a...

متن کامل

Propagation of Airy-Hermite-Gaussian waveguide modes in free space.

Let us know how access to this document benefits you. The cavity modes of metal strip waveguide lasers are most simply expressed in terms of Airy-Hermite-Gaussian functions. The free space propagation of the resulting beam modes has been examined, and both near-and far-field patterns have been calculated and measured. Phase plates may be useful for enhancing the far-field intensity.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: The Annals of Probability

سال: 2015

ISSN: 0091-1798

DOI: 10.1214/13-aop860