Publications related to Quantitative $ L ^{ 2 } $ Approximation Error of a Probability Density Estimate Given by It Samples

Stochastic vs. sensitivity-based integral parameter and nuclear data adjustments

Andreas Pautz, Mathieu Hursin, Dimitri Rochman, Daniel Jerôme Siefman

Developments in data assimilation theory allow to adjust integral parameters and cross sections with stochastic sampling. This work investigates how two stochastic methods, MOCABA and BMC, perform relative to a sensitivity-based methodology called GLLS. St ...

SPRINGER HEIDELBERG2018

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Timm Faulwasser

The present contribution demonstrates the applicability of polynomial chaos expansion to stochastic (optimal) AC power flow problems that arise in the operation of power grids. For rectangular power flow, polynomial chaos expansion together with Galerkin p ...

IEEE2016

Inference for binomial probability based on dependent Bernoulli random variables with applications to meta-analysis and group level studies

Stephan Morgenthaler

We study bias arising as a result of nonlinear transformations of random variables in random or mixed effects models and its effect on inference in group-level studies or in meta-analysis. The findings are illustrated on the example of overdispersed binomi ...

Wiley-Blackwell2016

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function u in multivariate polynomial spaces

P_\Lambda := span\{y \mapsto y^\nu | \nu \in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma := [-1,1]^d

, based on the sa ...

MATHICSE2015

Generalized Poisson Summation Formula for Tempered Distributions

Michaël Unser, Quy Ha Nguyen

The Poisson summation formula (PSF), which relates the sampling of an analog signal with the periodization of its Fourier transform, plays a key role in the classical sampling theory. In its current forms, the formula is only applicable to a limited class ...

IEEE2015

Interactive Design of Probability Density Functions for Shape Grammars

Mark Pauly, Duygu Ceylan, Boris Neubert, Stefan Lienhard

A shape grammar defines a procedural shape space containing a variety of models of the same class, e.g. buildings, trees, furniture, airplanes, bikes, etc. We present a framework that enables a user to interactively design a probability density function (p ...

Assoc Computing Machinery2015

New counterexamples for sums-differences

Marius Christopher Lemm

We present new counterexamples, which provide stronger limitations to sums-differences statements than were previously known. The main idea to improve over the original counterexamples by Ruzsa is to consider non-uniform probability measures. ...

2015

MMSE Estimation of Sparse Levy Processes

Michaël Unser, Arash Amini, Ulugbek Kamilov, Pedram Pad

We investigate a stochastic signal-processing framework for signals with sparse derivatives, where the samples of a Levy process are corrupted by noise. The proposed signal model covers the well-known Brownian motion and piecewise-constant Poisson process; ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Methodology to account for uncertainties and tradeoffs in pharmaceutical environmental hazard assessment

David Andrew Barry, Luca Rossi, Sylvain Coutu

Many pharmaceutical products find their way into receiving waters, giving rise to concerns regarding their environmental impact. A procedure was proposed that enables ranking of the hazard to aquatic species and human health due to such products. In the pr ...

Elsevier2012

Quantitative $ L ^{ 2 } $ Approximation Error of a Probability Density Estimate Given by It Samples

Graph Chatbot

Chat with Graph Search

Stochastic vs. sensitivity-based integral parameter and nuclear data adjustments

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Inference for binomial probability based on dependent Bernoulli random variables with applications to meta-analysis and group level studies

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Generalized Poisson Summation Formula for Tempered Distributions

Interactive Design of Probability Density Functions for Shape Grammars

New counterexamples for sums-differences

MMSE Estimation of Sparse Levy Processes

Methodology to account for uncertainties and tradeoffs in pharmaceutical environmental hazard assessment

Interactive Design of Probability Density Functions for Shape Grammars

Generalized Poisson Summation Formula for Tempered Distributions

Stochastic vs. sensitivity-based integral parameter and nuclear data adjustments

Solving Stochastic AC Power Flow via Polynomial Chaos Expansion

Inference for binomial probability based on dependent Bernoulli random variables with applications to meta-analysis and group level studies

Methodology to account for uncertainties and tradeoffs in pharmaceutical environmental hazard assessment

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

New counterexamples for sums-differences

MMSE Estimation of Sparse Levy Processes

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension