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This work describes methodologies to successfully implement the Implicit Monte Carlo (IMC) scheme for thermal radiative transfer in reduced-precision floating-point arithmetic. The methods used can be broadly categorized into scaling…

Computational Physics · Physics 2025-10-27 Simon Butson , Mathew Cleveland , Alex Long , Todd Palmer

The large-scale multiobjective optimization problem (LSMOP) is characterized by simultaneously optimizing multiple conflicting objectives and involving hundreds of decision variables. Many real-world applications in engineering fields can…

Neural and Evolutionary Computing · Computer Science 2023-04-17 Haokai Hong , Min Jiang , Gary G. Yen

In this paper, we present a probabilistic numerical algorithm combining dynamic programming, Monte Carlo simulations and local basis regressions to solve non-stationary optimal multiple switching problems in infinite horizon. We provide the…

Numerical Analysis · Mathematics 2019-06-04 René Aïd , Luciano Campi , Nicolas Langrené , Huyên Pham

In the usual framework of control, a reference trajectory is needed as the set point for a feedback controller. This reference trajectory can be generated by solving a trajectory optimization problem. This problem is a continuous optimal…

Systems and Control · Electrical Eng. & Systems 2022-04-11 Dimas M. Rachman , Atsuo Maki , Yoshiki Miyauchi , Naoya Umeda

Decision trees are a popular machine learning model which are traditionally trained by heuristic methods. Massive improvements in computing power and optimisation techniques has led to renewed interest in learning globally optimal decision…

Optimization and Control · Mathematics 2025-11-25 Mitchell Keegan , Michael Forbes , Paul Corry , Mahdi Abolghasemi

We develop a parallel rejection algorithm to tackle the problem of low acceptance in Monte Carlo methods, and apply it to the simulation of the hopping conduction in Coulomb glasses using Graphics Processing Units, for which we also…

Disordered Systems and Neural Networks · Physics 2014-08-19 Ezequiel E. Ferrero , Alejandro B. Kolton , Matteo Palassini

Utilizing a ray-tracing program, we have modeled the angular resolution of a short focal length (~2m), large field-of-view (3.1 square degrees), grazing incidence mirror shell. It has been previously shown in the literature that the…

In a previous article we developed an approach to the optimal (minimum variance, unbiased) statistical estimation technique for the equilibrium displacement of a damped, harmonic oscillator in the presence of thermal noise. Here, we expand…

Data Analysis, Statistics and Probability · Physics 2009-09-28 Jason H. Steffen , Michael W. Moore , Paul E. Boynton

The Multi-Commodity Pickup and Delivery Vehicle Routing Problem aims to optimize the pickup and delivery of multiple unique commodities using a fleet of several agents with limited payload capacities. This paper addresses the challenge of…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Mithun Goutham , Stephanie Stockar

Importance sampling is a Monte Carlo method which designs estimators of expectations under a target distribution using weighted samples from a proposal distribution. When the target distribution is complex, such as multimodal distributions…

Methodology · Statistics 2026-02-04 Anas Cherradi , Yazid Janati , Alain Durmus , Sylvain Le Corff , Yohan Petetin , Julien Stoehr

Accurately and efficiently estimating system performance under uncertainty is paramount in power system planning and operation. Monte Carlo simulation is often used for this purpose, but convergence may be slow, especially when detailed…

Computation · Statistics 2020-10-23 Simon Tindemans , Goran Strbac

For emerging applications of hybrid pixel detectors which require high spatial resolution, e.g., subpixel interpolation in X-ray imaging and deep learning-based electron localization, accurate modeling of charge transport processes in the…

Neural network wavefunctions optimized using the variational Monte Carlo method have been shown to produce highly accurate results for the electronic structure of atoms and small molecules, but the high cost of optimizing such wavefunctions…

Computational Physics · Physics 2024-08-27 Gil Goldshlager , Nilin Abrahamsen , Lin Lin

We present FitSKIRT, a method to efficiently fit radiative transfer models to UV/optical images of dusty galaxies. These images have the advantage that they have better spatial resolution compared to FIR/submm data. FitSKIRT uses the GAlib…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Gert De Geyter , Maarten Baes , Jacopo Fritz , Peter Camps

In computed tomography (CT) reconstruction, scattering causes server quality degradation of the reconstructed CT images by introducing streaks and cupping artifacts which reduce the detectability of low contrast objects. Monte Carlo (MC)…

Image and Video Processing · Electrical Eng. & Systems 2022-02-01 Ammar Alsaffar , Steffen Kieß , Kaicong Sun , Sven Simon

In this article, we propose a Newton-based method for solving multiobjective interval optimization problems (MIOPs). We first provide a connection between weakly Pareto optimal points and Pareto critical points in the context of MIOPs.…

Optimization and Control · Mathematics 2026-03-09 Tapas Mondal , Debdas Ghosh , Do Sang Kim

Managing biodiversity extinction crisis requires wise decision-making processes able to account for the limited of resources available. In most decision problems in conservation biology, several conflicting objectives have to be taken into…

Optimization and Control · Mathematics 2016-11-24 Yann Dujardin , Iadine Chades

The Monte Carlo-type Neural Operator (MCNO) introduces a lightweight architecture for learning solution operators for parametric PDEs by directly approximating the kernel integral using a Monte Carlo approach. Unlike Fourier Neural…

Machine Learning · Computer Science 2025-11-25 Salah Eddine Choutri , Prajwal Chauhan , Othmane Mazhar , Saif Eddin Jabari

Neutronic calculations for reactors are a daunting task when using Monte Carlo (MC) methods. As high-performance computing has advanced, the simulation of a reactor is nowadays more readily done, but design and optimization with multiple…

Neural and Evolutionary Computing · Computer Science 2024-03-22 Deborah Schwarcz , Nadav Schneider , Gal Oren , Uri Steinitz

This paper introduces a new way to calculate distance-based statistics, particularly when the data are multivariate. The main idea is to pre-calculate the optimal projection directions given the variable dimension, and to project…

Computation · Statistics 2019-11-11 Chuanping Yu , Xiaoming Huo
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