Moreaugrad: Sparse and robust interpretation of neural networks via moreau envelope

J Zhang, F Farnia - Proceedings of the IEEE/CVF …, 2023 - openaccess.thecvf.com
Explaining the predictions of deep neural nets has been a topic of great interest in the
computer vision literature. While several gradient-based interpretation schemes have been …

First-order covariance inequalities via Stein's method

M Ernst, G Reinert, Y Swan - 2020 - projecteuclid.org
First-order covariance inequalities via Stein's method Page 1 Bernoulli 26(3), 2020, 2051–2081
https://doi.org/10.3150/19-BEJ1182 First-order covariance inequalities via Stein’s method …

Stein's Lemma for generalized skew-elliptical random vectors

C Adcock, Z Landsman, T Shushi - Communications in Statistics …, 2021 - Taylor & Francis
This paper generalizes Stein's Lemma recently obtained for elliptical class distributions to
the generalized skew-elliptical family of distributions. Stein's Lemma provides a useful tool …

Testing normality in any dimension by Fourier methods in a multivariate Stein equation

B Ebner, N Henze, D Strieder - Canadian Journal of Statistics, 2022 - Wiley Online Library
We study a novel class of affine‐invariant and consistent tests for multivariate normality. The
tests are based on a characterization of the standard d‐variate normal distribution by way of …

Stein operators, kernels and discrepancies for multivariate continuous distributions

G Mijoule, G Reinert, Y Swan - arXiv preprint arXiv:1806.03478, 2018 - arxiv.org
In this paper we present a general framework for Stein's method for multivariate continuous
distributions. The approach gives a collection of Stein characterisations, among which we …

Expressions for joint moments of elliptical distributions

B Zuo, C Yin, N Balakrishnan - Journal of Computational and Applied …, 2021 - Elsevier
Inspired by Stein's lemma, we derive two expressions for the joint moments of elliptical
distributions. We use two different methods to derive E [X 1 2 f (X)] for any measurable …

Some Stein-type inequalities for multivariate elliptical distributions and applications

Z Landsman, S Vanduffel, J Yao - Statistics & Probability Letters, 2015 - Elsevier
Some Stein-type inequalities for multivariate elliptical distributions and applications -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

On the property of multivariate generalized hyperbolic distribution and the Stein-type inequality

X Deng, J Yao - Communications in Statistics-Theory and Methods, 2018 - Taylor & Francis
This note consists of two parts. In the first part, we provide a pedagogic review on the
multivariate generalized hyperbolic (MGH) distribution. We show that this probability family …

A stein type lemma for the multivariate generalized hyperbolic distribution

S Vanduffel, J Yao - European Journal of Operational Research, 2017 - Elsevier
When two variables are bivariate normally distributed, Stein's (1973, 1981) seminal lemma
provides a convenient expression for the covariance of the first variable with a function of the …

Stein's lemma for truncated elliptical random vectors

T Shushi - Statistics & Probability Letters, 2018 - Elsevier
In this letter we derive the multivariate Stein's lemma for truncated elliptical random vectors.
The results in this letter generalize Stein's lemma for elliptical random vectors given in …