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Portfolio optimization is a primary component of the decision-making process in finance, aiming to tactfully allocate assets to achieve optimal returns while considering various constraints. Herein, we proposed a method that uses the…

量子物理 · 物理学 2024-12-24 Chansreynich Huot , Kimleang Kea , Tae-Kyung Kim , Youngsun Han

This paper discusses the efficient Bayesian estimation of a multivariate factor stochastic volatility (Factor MSV) model with leverage. We propose a novel approach to construct the sampling schemes that converges to the posterior…

统计方法学 · 统计学 2017-06-14 David Gunawan , Chris Carter , Robert Kohn

Sequential decision problems are often approximately solvable by simulating possible future action sequences. Metalevel decision procedures have been developed for selecting which action sequences to simulate, based on estimating the…

人工智能 · 计算机科学 2014-08-12 Nicholas Hay , Stuart Russell , David Tolpin , Solomon Eyal Shimony

We tackle limitations of ordinary differential equation-driven Susceptible-Infections-Removed (SIR) models and their extensions that have recently be employed for epidemic nowcasting and forecasting. In particular, we deal with challenges…

统计计算 · 统计学 2026-02-10 Angelos Alexopoulos , Paul Birrell , Daniela De Angelis

Optimization via simulation (OvS) procedures that assume the simulation inputs are generated from the real-world distributions are subject to the risk of selecting a suboptimal solution when the distributions are substituted with input…

统计方法学 · 统计学 2021-01-20 Eunhye Song

We propose a method of approximating multivariate Gaussian probabilities using dynamic programming. We show that solving the optimization problem associated with a class of discrete-time finite horizon Markov decision processes with…

最优化与控制 · 数学 2018-02-08 Morgan Jones , Matthew M. Peet

Background. The Expected Value of Sample Information (EVSI) measures the expected benefits that could be obtained by collecting additional data. Estimating EVSI using the traditional nested Monte Carlo method is computationally expensive…

统计方法学 · 统计学 2024-02-01 Linke Li , Hawre Jalal , Anna Heath

Objective: The Expected Value of Sample Information (EVSI) quantifies the economic benefit of reducing uncertainty in a health economic model by collecting additional information. This has the potential to improve the allocation of research…

统计方法学 · 统计学 2018-04-26 Anna Heath , Gianluca Baio

In this article, we consider a stochastic numerical simulator to assess the impact of some factors on a phenomenon. The simulator is seen as a black box with inputs and outputs. The quality of a simulation, hereafter referred to as…

统计计算 · 统计学 2017-07-27 Rémi Stroh , Séverine Demeyer , Nicolas Fischer , Julien Bect , Emmanuel Vazquez

This paper is concerned with Merton's portfolio optimization problem in a Volterra stochastic environment described by a multivariate fake stationary Volterra--Heston model. Due to the non-Markovianity and non-semimartingality of the…

最优化与控制 · 数学 2026-05-08 Emmanuel Gnabeyeu

Sequential decision problems are often approximately solvable by simulating possible future action sequences. {\em Metalevel} decision procedures have been developed for selecting {\em which} action sequences to simulate, based on…

人工智能 · 计算机科学 2012-07-26 Nicholas Hay , Stuart Russell , David Tolpin , Solomon Eyal Shimony

This paper considers a simulation-based estimator for a general class of Markovian processes and explores some strong consistency properties of the estimator. The estimation problem is defined over a continuum of invariant distributions…

概率论 · 数学 2010-01-14 Manuel S. Santos

We present an online stochastic model predictive control framework for demand charge management for a grid-connected consumer with attached electrical energy storage. The consumer we consider must satisfy an inflexible but stochastic…

系统与控制 · 电气工程与系统科学 2020-07-07 Benjamin Flamm , Guillermo Ramos , Annika Eichler , John Lygeros

This paper proposes a non-intrusive, data-driven reduced-order modeling framework for stochastic optimal control problems governed by partial differential equations. The control problem is formulated with a quadratic cost functional and…

最优化与控制 · 数学 2026-05-20 Lingling Ma , Jingyi Zhang , Qiuqi Li

We discuss the statistical properties of a recently introduced unbiased stochastic approximation to the score equations for maximum likelihood calculation for Gaussian processes. Under certain conditions, including bounded condition number…

应用统计 · 统计学 2013-12-11 Michael L. Stein , Jie Chen , Mihai Anitescu

The q-Gaussian distribution results from maximizing certain generalizations of Shannon entropy under some constraints. The importance of q-Gaussian distributions stems from the fact that they exhibit power-law behavior, and also generalize…

系统与控制 · 计算机科学 2013-11-12 Debarghya Ghoshdastidar , Ambedkar Dukkipati , Shalabh Bhatnagar

Every "x"-adjustment in the so-called xVA financial risk management framework relies on the computation of exposures. Considering thousands of Monte Carlo paths and tens of simulation steps, a financial portfolio needs to be evaluated…

计算金融 · 定量金融 2022-05-24 Lech A. Grzelak

In this paper, we present a multilevel Monte Carlo (MLMC) version of the Stochastic Gradient (SG) method for optimization under uncertainty, in order to tackle Optimal Control Problems (OCP) where the constraints are described in the form…

最优化与控制 · 数学 2019-12-30 Matthieu Martin , Fabio Nobile , Panagiotis Tsilifis

Bayesian optimization is proposed for automatic learning of optimal controller parameters from experimental data. A probabilistic description (a Gaussian process) is used to model the unknown function from controller parameters to a…

系统与控制 · 计算机科学 2019-01-24 Matthias Neumann-Brosig , Alonso Marco , Dieter Schwarzmann , Sebastian Trimpe

The probability distribution describing the state of a Stochastic Reaction Network evolves according to the Chemical Master Equation (CME). It is common to estimated its solution using Monte Carlo methods such as the Stochastic Simulation…

定量方法 · 定量生物学 2015-06-18 Benjamin Hepp , Ankit Gupta , Mustafa Khammash