Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance

J Weed, F Bach - 2019 - projecteuclid.org
Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein
distance Page 1 Bernoulli 25(4A), 2019, 2620–2648 https://doi.org/10.3150/18-BEJ1065 Sharp …

Numerical probability

G Pagès - Universitext, Springer, 2018 - Springer
This book is an extended written version of the Master 2 course “Probabilités
Numériques”(ie, Numerical Probability or Numerical Methods in Probability) which has been …

An empirical analysis of scenario generation methods for stochastic optimization

N Löhndorf - European Journal of Operational Research, 2016 - Elsevier
This work presents an empirical analysis of popular scenario generation methods for
stochastic optimization, including quasi-Monte Carlo, moment matching, and methods based …

Multifractional stochastic volatility models

S Corlay, J Lebovits, JL Véhel - Mathematical Finance, 2014 - Wiley Online Library
The aim of this work is to advocate the use of multifractional Brownian motion (mBm) as a
relevant model in financial mathematics. mBm is an extension of fractional Brownian motion …

Contraction rates for sparse variational approximations in Gaussian process regression

D Nieman, B Szabo, H Van Zanten - Journal of Machine Learning …, 2022 - jmlr.org
We study the theoretical properties of a variational Bayes method in the Gaussian Process
regression model. We consider the inducing variables method introduced by Titsias (2009b) …

Leveraging computer technologies and instructional approaches to facilitate learning

K Ayebi-Arthur, KA Barfi, V Arkorful, T Ocran… - Education and …, 2024 - Springer
Higher institutions are increasingly embracing the use of computer technologies in
advancing education. Despite evidence pointing to the positive impact of computer …

[图书][B] Marginal and functional quantization of stochastic processes

H Luschgy, G Pagès - 2023 - Springer
Vector Quantization is the name given to discretization methods based on nearest
neighbour search. It was developed in the 1950s, mostly in signal processing and …

Extreme-strike asymptotics for general Gaussian stochastic volatility models

A Gulisashvili, F Viens, X Zhang - Annals of Finance, 2019 - Springer
We consider a stochastic volatility asset price model in which the volatility is the absolute
value of a continuous Gaussian process with arbitrary prescribed mean and covariance. By …

A closed-form pricing formula for European options with market liquidity risk

P Pasricha, SP Zhu, XJ He - Expert Systems with Applications, 2022 - Elsevier
In this paper, the impact of liquidity on the underlying asset is taken into account when
pricing European options through a discounting factor which depends on two factors, ie …

Optimal Delaunay and Voronoi quantization schemes for pricing American style options

G Pages, B Wilbertz - Numerical Methods in Finance: Bordeaux, June …, 2012 - Springer
We review in this article pure quantization methods for the pricing of multiple exercise
options. These quantization methods have the common advantage, that they allow a …