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The aim of this work is studying the use of copulas and vines in the optimization with Estimation of Distribution Algorithms (EDAs). Two EDAs are built around the multivariate product and normal copulas, and other two are based on…

Neural and Evolutionary Computing · Computer Science 2015-01-14 Marta Soto , Yasser González-Fernández , Alberto Ochoa

In many risk-aware and multi-objective reinforcement learning settings, the utility of the user is derived from the single execution of a policy. In these settings, making decisions based on the average future returns is not suitable. For…

Machine Learning · Computer Science 2021-02-03 Conor F. Hayes , Mathieu Reymond , Diederik M. Roijers , Enda Howley , Patrick Mannion

Previously, it has been shown that maximum-entropy models of immune-repertoire sequence can be used to determine a person's vaccination status. However, this approach has the drawback of requiring a computationally intensive method to…

Quantitative Methods · Quantitative Biology 2023-12-21 Josiah Couch , Rohit Arora , Jasper Braun , Joesph Kaplinsky , Elliot Hill , Anthony Li , Brett Altschul , Ramy Arnaout

This paper covers a massive acceleration of Monte-Carlo based pricing method for financial products and financial derivatives. The method is applicable in risk management settings, where a financial product has to be priced under a number…

Computational Engineering, Finance, and Science · Computer Science 2008-09-30 Stefan Dirnstorfer , Andreas J. Grau

Monte Carlo sampling of any system may be analyzed in terms of an associated glass model -- a variant of the Random Energy Model -- with, whenever there is a sign problem, complex fields. This model has three types of phases (liquid, frozen…

Statistical Mechanics · Physics 2011-01-17 Gustavo During , Jorge Kurchan

Monte Carlo simulations are widely used in many areas including particle accelerators. In this lecture, after a short introduction and reviewing of some statistical backgrounds, we will discuss methods such as direct inversion, rejection…

Computational Physics · Physics 2020-06-19 Ji Qiang

It has been proposed that human physical reasoning consists largely of running "physics engines in the head" in which the future trajectory of the physical system under consideration is computed precisely using accurate scientific theories.…

Artificial Intelligence · Computer Science 2015-06-17 Ernest Davis , Gary Marcus

A method for the multifidelity Monte Carlo (MFMC) estimation of statistical quantities is proposed which is applicable to computational budgets of any size. Based on a sequence of optimization problems each with a globally minimizing…

Numerical Analysis · Mathematics 2022-11-15 Anthony Gruber , Max Gunzburger , Lili Ju , Zhu Wang

Monte Carlo methods provide detailed and accurate results for radiation transport simulations. Unfortunately, the high computational cost of these methods limits its usage in real-time applications. Moreover, existing computer codes do not…

Computational Physics · Physics 2021-06-21 V. Giménez-Alventosa , V. Giménez Gómez , S. Oliver Gil

We employ and examine vine copulas in modeling symmetric and asymmetric dependency structures and forecasting financial returns. We analyze the asset allocations performed during the 2008-2009 financial crisis and test different portfolio…

Portfolio Management · Quantitative Finance 2019-12-24 Maziar Sahamkhadam , Andreas Stephan

We analyze and compare the computational complexity of different simulation strategies for Monte Carlo in the setting of classically scaled population processes. This allows a range of widely used competing strategies to be judged…

Numerical Analysis · Mathematics 2018-06-05 David F. Anderson , Desmond J. Higham , Yu Sun

We explain in detail how to estimate mean values and assess statistical errors for arbitrary functions of elementary observables in Monte Carlo simulations. The method is to estimate and sum the relevant autocorrelation functions, which is…

High Energy Physics - Lattice · Physics 2009-09-29 Ulli Wolff

Asset allocation using reinforcement learning has advantages such as flexibility in goal setting and utilization of various information. However, existing asset allocation methods do not consider the following viewpoints in solving the…

Computational Finance · Quantitative Finance 2022-07-07 Jungyu Ahn , Sungwoo Park , Jiwoon Kim , Ju-hong Lee

This paper proposes data mining techniques to model the return on investment from various types of promotional spending to market a drug and then uses the model to draw conclusions on how the pharmaceutical industry might go about…

Statistics Theory · Mathematics 2014-04-01 Dominique Haughton , Guangying Hua , Danny Jin , John Lin , Qizhi Wei , Changan Zhang

Population Monte Carlo (PMC) sampling methods are powerful tools for approximating distributions of static unknowns given a set of observations. These methods are iterative in nature: at each step they generate samples from a proposal…

Computation · Statistics 2022-01-17 Víctor Elvira , Luca Martino , David Luengo , Mónica F. Bugallo

In the Monte Carlo (MC) method statistical noise is usually present. Statistical noise may become dominant in the calculation of a distribution, usually by iteration, but is less Important in calculating integrals. The subject of the…

Computational Physics · Physics 2013-11-08 Mihály Makai , Zoltán Szatmáry

The standard Penna ageing model with sexual reproduction is enlarged by adding additional bit-strings for love: Marriage happens only if the male love strings are sufficiently different from the female ones. We simulate at what level of…

Populations and Evolution · Quantitative Biology 2015-05-19 D. Stauffer , S. Cebrat , T. J. P. Penna , A. O. Sousa

The primary focus of Monte Carlo simulation is to identify and quantify risk related to uncertainty and variability in spreadsheet model inputs. The stress of Monte Carlo simulation often reveals logical errors in the underlying spreadsheet…

Software Engineering · Computer Science 2010-01-26 Hilary L. Emmett , Lawrence I. Goldman

Uncertainty analysis in the outcomes of model predictions is a key element in decision-based material design to establish confidence in the models and evaluate the fidelity of models. Uncertainty Propagation (UP) is a technique to determine…

Machine Learning · Computer Science 2023-02-13 Danial Khatamsaz , Vahid Attari , Raymundo Arroyave , Douglas L. Allaire

This article is devoted to methods of construction and study of stochastic models based on Monte Carlo method. A model of Brownian motion, the construction and processing which brings to a world of random numbers and mathematical…

Physics Education · Physics 2018-09-18 Illia O. Teplytskyi , Serhiy O. Semerikov