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This paper is concerned with a risk-sensitive optimal control problem for a feedback connection of a quantum plant with a measurement-based classical controller. The plant is a multimode open quantum harmonic oscillator driven by a…

量子物理 · 物理学 2019-12-30 Igor G. Vladimirov , Matthew R. James , Ian R. Petersen

This work presents a quantum algorithm for solving linear systems of equations of the form $\mathbf{A}{\frac{\mathbf{\partial f}}{\mathbf{\partial x}}} = \mathbf{B}\mathbf{f}$, based on the Quantum Singular Value Transformation (QSVT). The…

量子物理 · 物理学 2025-07-18 Gal G. Shaviner , Ziv Chen , Steven H. Frankel

This paper thoroughly investigates stochastic linear-quadratic optimal control problems with the Markovian regime switching system, where the coefficients of the state equation and the weighting matrices of the cost functional are random.…

最优化与控制 · 数学 2022-08-03 Jiaqiang Wen , Xun Li , Jie Xiong , Xin Zhang

Optimal experimental design provides a way of determining a-priori the best locations at which to place accelerometers in vibrations analysis experiments. However, in practice, sensors often fail during experimentation due high mechanical…

计算工程、金融与科学 · 计算机科学 2026-04-17 Rebekah White , Chandler Smith , Drew Kouri , Jace Ritchie , Wilkins Aquino , Timothy Walsh

A powerful method for calculating the eigenvalues of a Hamiltonian operator consists of converting the energy eigenvalue equation into a matrix equation by means of an appropriate basis set of functions. The convergence of the method can be…

量子物理 · 物理学 2007-05-23 Paolo Amore , Alfredo Aranda , Francisco Fernandez , Hugh Jones

Model predictive control is a powerful tool to generate complex motions for robots. However, it often requires solving non-convex problems online to produce rich behaviors, which is computationally expensive and not always practical in real…

机器人学 · 计算机科学 2022-09-21 Avadesh Meduri , Huaijiang Zhu , Armand Jordana , Ludovic Righetti

The present article proposes a data analysis method for experimentally-derived measurements, which consists of an auto-optimization procedure and a sensitivity analysis. The method was applied to the results of a total-reflection…

Quantum phase estimation (QPE) is one of the core algorithms for quantum computing. It has been extensively studied and applied in a variety of quantum applications such as the Shor's factoring algorithm, quantum sampling algorithms and the…

In this paper, we study the adaptive planewave discretization for a cluster of eigenvalues of second-order elliptic partial differential equations. We first design an a posteriori error estimator and prove both the upper and lower bounds.…

数值分析 · 数学 2022-10-28 Xiaoying Dai , Yan Pan , Bin Yang , Aihui Zhou

Many industries extensively use flexible materials. Effective approaches for handling flexible objects with a robot manipulator must address residual vibrations. Existing solutions rely on complex models, use additional instrumentation for…

机器人学 · 计算机科学 2022-11-22 Daniele Ronzani , Shamil Mamedov , Jan Swevers

This paper investigates a linear quadratic stochastic optimal control (LQSOC) problem with partial information. Firstly, by introducing two Riccati equations and a backward stochastic differential equation (BSDE), we solve this LQSOC…

最优化与控制 · 数学 2024-09-26 Xun Li , Guangchen Wang , Jie Xiong , Heng Zhang

The unconstrained binary quadratic programming (UBQP) problem is a class of problems of significant importance in many practical applications, such as in combinatorial optimization, circuit design, and other fields. The positive…

最优化与控制 · 数学 2024-08-12 Xinyue Huo , Ran Gu

We propose a new method to design adaptation algorithms that guarantee a certain prescribed level of performance and are applicable to systems with nonconvex parameterization. The main idea behind the method is, given the desired…

最优化与控制 · 数学 2007-05-23 I. Y. Tyukin , D. V. Prokhorov , Cees van Leeuwen

We investigate the problem of learning an $\epsilon$-approximate solution for the discrete-time Linear Quadratic Regulator (LQR) problem via a Stochastic Variance-Reduced Policy Gradient (SVRPG) approach. Whilst policy gradient methods have…

最优化与控制 · 数学 2023-09-20 Leonardo F. Toso , Han Wang , James Anderson

Calibration of large-scale differential equation models to observational or experimental data is a widespread challenge throughout applied sciences and engineering. A crucial bottleneck in state-of-the art calibration methods is the…

最优化与控制 · 数学 2021-02-23 Jon Cockayne , Andrew B. Duncan

A type of adaptive finite element method for the eigenvalue problems is proposed based on the multilevel correction scheme. In this method, adaptive finite element method to solve eigenvalue problems involves solving associated boundary…

数值分析 · 数学 2012-01-12 Hehu Xie

Adaptive loss function formulation is an active area of research and has gained a great deal of popularity in recent years, following the success of deep learning. However, existing frameworks of adaptive loss functions often suffer from…

机器学习 · 计算机科学 2020-01-01 A. Ali Heydari , Craig A. Thompson , Asif Mehmood

In this paper, we consider the classical robust adaptive beamforming (RAB) problem. Conventionally, this problem is solved either with an off-the-shelf solver like MOSEK or through the well-known RMVB algorithm based on Lagrange multiplier…

最优化与控制 · 数学 2026-03-11 Licheng Zhao , Rui Zhou , Wenqiang Pu

The notion of Inertial Balanced Viscosity (IBV) solution to rate-independent evolutionary processes is introduced. Such solutions are characterized by an energy balance where a suitable, rate-dependent, dissipation cost is optimized at jump…

偏微分方程分析 · 数学 2022-03-22 Filippo Riva , Giovanni Scilla , Francesco Solombrino

In this paper, we present a novel pseudospectral (PS) method for solving a new class of initial-value problems (IVPs) of time-dependent one-dimensional fractional partial differential equations (FPDEs) with variable coefficients and…

数值分析 · 数学 2023-12-11 Kareem T. Elgindy
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