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Quality Diversity (QD) algorithms have been proposed to search for a large collection of both diverse and high-performing solutions instead of a single set of local optima. While early QD algorithms view the objective and descriptor…

Artificial Intelligence · Computer Science 2023-09-14 Raphael Boige , Guillaume Richard , Jérémie Dona , Thomas Pierrot , Antoine Cully

We propose and implement a family of quantum-informed recursive optimization (QIRO) algorithms for combinatorial optimization problems. Our approach leverages quantum resources to obtain information that is used in problem-specific…

Neural operators improve conventional neural networks by expanding their capabilities of functional mappings between different function spaces to solve partial differential equations (PDEs). One of the most notable methods is the Fourier…

Machine Learning · Computer Science 2024-07-29 Xuanle Zhao , Yue Sun , Tielin Zhang , Bo Xu

We extend the single-mode Approximation (SMA) into quantum Monte Carlo simulations to provides an efficient and fast method to obtain the dynamical dispersion of quantum many-body systems. Based on stochastic series expansion (SSE) and its…

Strongly Correlated Electrons · Physics 2024-11-25 Yan Liu , Kemeng Wu , Shutao Liu , Yan-Cheng Wang , Jie Lou , Zheng Yan , Yan Chen

Matrix product density operators (MPDOs) are tensor network representations of locally purified density matrices where each physical degree of freedom is associated to an environment degree of freedom. MPDOs have interesting properties for…

Quantum Physics · Physics 2024-03-04 Ambroise Müller , Thomas Ayral , Corentin Bertrand

We develop a general approach for monitoring and controlling evolution of open quantum systems. In contrast to the master equations describing time evolution of density operators, here, we formulate a dynamical equation for the evolution of…

Quantum Physics · Physics 2009-08-09 M. Mohseni , A. T. Rezakhani

This letter proposes a fast identification algorithm for Wiener-Hammerstein systems. The computational cost of separating the front and the back linear time invariant block dynamics is significantly improved by using discrete optimization.…

Systems and Control · Computer Science 2018-04-20 M. Schoukens , G. Vandersteen , Y. Rolain , F. Ferranti

Based on multiple parallel short molecular dynamics simulation trajectories, we designed the reweighted ensemble dynamics (RED) method to more efficiently sample complex (biopolymer) systems, and to explore their hierarchical metastable…

Statistical Mechanics · Physics 2015-02-24 Linchen Gong , Xin Zhou , Zhong-Can Ou-Yang

Reaching tasks with random targets and obstacles is a challenging task for robotic manipulators. In this study, we propose a novel model-free reinforcement learning approach based on proximal policy optimization (PPO) for training a deep…

Robotics · Computer Science 2023-02-10 Yongliang Wang , Hamidreza Kasaei

Time-distributed Optimization (TDO) is an approach for reducing the computational burden of Model Predictive Control (MPC). When using TDO, optimization iterations are distributed over time by maintaining a running solution estimate and…

Optimization and Control · Mathematics 2021-02-25 Dominic Liao-McPherson , Terrence Skibik , Jordan Leung , Ilya Kolmanovsky , Marco M. Nicotra

We present quantum algorithms for the simulation of quantum systems in one spatial dimension, which result in quantum speedups that range from superpolynomial to polynomial. We first describe a method to simulate the evolution of the…

Quantum Physics · Physics 2016-08-09 Rolando D. Somma

The sparse approximation of high-frequency Helmholtz-type integral operators has many important physical applications such as problems in wave propagation and wave scattering. The discrete system matrices are huge and densely populated;…

Numerical Analysis · Mathematics 2019-07-29 Steffen Börm , Maria Lopez-Fernandez , Stefan Sauter

Compact optimization algorithms are a class of Estimation of Distribution Algorithms (EDAs) characterized by extremely limited memory requirements (hence they are called "compact"). As all EDAs, compact algorithms build and update a…

Artificial Intelligence · Computer Science 2019-04-11 Giovanni Iacca , Fabio Caraffini

Knowledge transfer-based evolutionary optimization has garnered significant attention, such as in multi-task evolutionary optimization (MTEO), which aims to solve complex problems by simultaneously optimizing multiple tasks. While this…

Neural and Evolutionary Computing · Computer Science 2025-10-10 Jie Zhao , Kang Hao Cheong , Yaochu Jin

Achieving high-fidelity control in the presence of strong non-Markovian noise is critical for the optimization of emergent solid-state quantum devices. We present a highly efficient optimization framework that combines automatic…

This article presents the design of a robust observer based on the discrete-time formulation of Uncertainty and Disturbance Estimator (UDE), a well-known robust control technique, for the purpose of controlling robot manipulators. The…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Ram Padmanabhan , Maithili Shetty , T. S. Chandar

Fast-forwarding refers to the ability to simulate a system of time $t$ using significantly fewer than $t$ queries or circuit depth. While various Hamiltonian systems are known to circumvent the no fast-forwarding theorem, analogous results…

Quantum Physics · Physics 2026-05-25 Zhong-Xia Shang , Dong An , Changpeng Shao

We present a convolutional framework which significantly reduces the complexity and thus, the computational effort for distributed reinforcement learning control of dynamical systems governed by partial differential equations (PDEs).…

Machine Learning · Computer Science 2023-12-27 Sebastian Peitz , Jan Stenner , Vikas Chidananda , Oliver Wallscheid , Steven L. Brunton , Kunihiko Taira

Model discrepancy, defined as the difference between model predictions and reality, is ubiquitous in computational models for physical systems. It is common to derive partial differential equations (PDEs) from first principles physics, but…

Numerical Analysis · Mathematics 2022-11-08 Joseph Hart , Bart van Bloemen Waanders

Quantum Annealing (QA) can efficiently solve combinatorial optimization problems whose objective functions are represented by Quadratic Unconstrained Binary Optimization (QUBO) formulations. For broader applicability of QA, quadratization…

Quantum Physics · Physics 2025-07-29 Hyakka Nakada , Shu Tanaka
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