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This paper presents a joint optimisation framework for optimal estimation and stochastic optimal control with imperfect information. It provides a estimation and control scheme that can be decomposed into a classical optimal estimation step…

Optimization and Control · Mathematics 2023-03-27 Emilien Flayac , Karim Dahia , Bruno Hérissé , Frédéric Jean

We introduce an orbital-optimized double-hybrid (DH) scheme using the optimized-effective-potential (OEP) method. The orbitals are optimized using a local potential corresponding to the complete exchange-correlation energy expression…

In this paper we show that chordal structure can be used to devise efficient optimization methods for robust model predictive control problems. The chordal structure is used both for computing search directions efficiently as well as for…

Optimization and Control · Mathematics 2018-03-21 Anders Hansson , Sina Khoshfetrat Pakazad

This research explores the enhancement of lunar landing precision through an advanced structured light system, integrating machine learning, Iterative Learning Control (ILC) and Structured Illumination Microscopy (SIM) techniques. By…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Tarek A. Elsharhawy , P. James Schuck , Shuo Liu , Luc Saikali

The kernel-based multi-scale method has been proven to be a powerful approximation method for scattered data approximation problems which is computationally superior to conventional kernel-based interpolation techniques. The multi-scale…

Numerical Analysis · Mathematics 2025-03-10 Federico Lot , Christian Rieger

Molecule-optimized basis sets, based on approximate natural orbitals, are developed for accelerating the convergence of quantum calculations with strongly correlated (multi-referenced) electrons. We use a low-cost approximate solution of…

Chemical Physics · Physics 2014-02-12 Gergely Gidofalvi , David A. Mazziotti

Quantum simulation of materials is a promising application area of quantum computers. To practically realize this promise, we must reduce quantum resources while maintaining accuracy. In electronic structure calculations on classical…

In practice, objective functions of real-time control systems can have multiple local minimums or can dramatically change over the function space, making them hard to optimize. To efficiently optimize such systems, in this paper, we develop…

Optimization and Control · Mathematics 2022-01-26 Haowei Wang , Songhao Wang , Qun Meng , Szu Hui Ng

We present a novel methodology for convex optimization algorithm design using ideas from electric RLC circuits. Given an optimization problem, the first stage of the methodology is to design an appropriate electric circuit whose…

Optimization and Control · Mathematics 2025-01-22 Stephen P. Boyd , Tetiana Parshakova , Ernest K. Ryu , Jaewook J. Suh

One-hundred-nm-scale electronic structure calculations were carried out on the K supercomputer by our original simulation code ELSES (http://www.elses.jp/) The present paper reports preliminary results of transport calculations for…

Materials Science · Physics 2016-12-21 Hiroto Imachi , Seiya Yokoyama , Takami Kaji , Yukiya Abe , Tomofumi Tada , Takeo Hoshi

With the growing complexity and capability of contemporary robotic systems, the necessity of sophisticated computing solutions to efficiently handle tasks such as real-time processing, sensor integration, decision-making, and control…

Robotics · Computer Science 2025-09-09 Md Rafid Islam

A simple method for improving cache efficiency of serial and parallel explicit finite procedure with application to casting solidification simulation over three-dimensional complex geometries is presented. The method is based on division of…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-05-19 Ruhollah Tavakoli

We develop a numerical approach based on the sinc basis set for first-principles electronic structure calculations in one-dimensional systems. The method exploits the inherent accuracy and non-local character of the sinc functions to handle…

Chemical Physics · Physics 2025-10-10 Xueyuan Yan

Every numerical general relativistic investigation starts from the solution of the initial value equations at a given time. Astrophysically relevant initial values for different systems lead to distinct set of equations that obey specific…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Lambros Boukas , Antonios Tsokaros , Koji Uryu

We introduce a proximal version of dual coordinate ascent method. We demonstrate how the derived algorithmic framework can be used for numerous regularized loss minimization problems, including $\ell_1$ regularization and structured output…

Machine Learning · Statistics 2012-11-13 Shai Shalev-Shwartz , Tong Zhang

Nested parallelism exists in scientific codes that are searching multi-dimensional spaces. However, implementations of nested parallelism often have overhead and load balance issues. The Orbital Analysis code we present exhibits a sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-01 Benjamin James Gaska , Neha Jothi , Mahdi Soltan Mohammadi , Kat Volk , Michelle Mills Strout

Classical algorithms for predicting the equilibrium geometry of strongly correlated molecules require expensive wave function methods that become impractical already for few-atom systems. In this work, we introduce a variational quantum…

In this paper we present two parallel Monte Carlo based algorithms for pricing multi--dimensional Bermudan/American options. First approach relies on computation of the optimal exercise boundary while the second relies on classification of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-18 Mireille Bossy , Françoise Baude , Viet Dung Doan , Abhijeet Gaikwad , Ian Stokes-Rees

The quantum approximate optimisation algorithm was proposed as a heuristic method for solving combinatorial optimisation problems on near-term quantum computers and may be among the first algorithms to perform useful computations in the…

Quantum Physics · Physics 2022-11-10 David Headley , Thorge Müller , Ana Martin , Enrique Solano , Mikel Sanz , Frank K. Wilhelm

In this paper, we focus on the solution of online optimization problems that arise often in signal processing and machine learning, in which we have access to streaming sources of data. We discuss algorithms for online optimization based on…

Optimization and Control · Mathematics 2023-05-05 Nicola Bastianello , Ruggero Carli , Andrea Simonetto