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We propose an effective approach to rapid estimation of the energy spectrum of quantum systems with the use of machine learning (ML) algorithm. In the ML approach (back propagation), the wavefunction data known from experiments is…

Computational Physics · Physics 2020-01-29 Gennadiy Burlak

Thompson sampling (TS) is a Bayesian randomized exploration strategy that samples options (e.g., system parameters or control laws) from the current posterior and then applies the selected option that is optimal for a task, thereby…

Machine Learning · Computer Science 2026-02-06 Kaikai Zheng , Dawei Shi , Yang Shi , Long Wang

An incoherent control scheme for state control of locally controllable quantum systems is proposed. This scheme includes three steps: (1) amplitude amplification of the initial state by a suitable unitary transformation, (2) projective…

Quantum Physics · Physics 2008-10-22 Daoyi Dong , Chenbin Zhang , Herschel Rabitz , Alexander Pechen , Tzyh-Jong Tarn

The ability to control quantum systems using shaped fields as well as to infer the states of such controlled systems from measurement data are key tasks in the design and operation of quantum devices. Here we associate the success of…

Quantum Physics · Physics 2020-10-14 Christian Arenz , Herschel Rabitz

This paper proposes a composite learning backstepping control (CLBC) strategy based on modular backstepping and high-order tuners to achieve closed-loop exponential stability without high-gain feedback and PE. A novel composite learning…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Tian Shi , Shihua Li , Changyun Wen , Yongping Pan

Sequential Monte Carlo (SMC) methods are a class of techniques to sample approximately from any sequence of probability distributions using a combination of importance sampling and resampling steps. This paper is concerned with the…

Statistics Theory · Mathematics 2012-03-05 Pierre Del Moral , Arnaud Doucet , Ajay Jasra

The Self-Learning Monte Carlo (SLMC) method is a Monte Carlo approach that has emerged in recent years by integrating concepts from machine learning with conventional Monte Carlo techniques. Designed to accelerate the numerical study of…

Strongly Correlated Electrons · Physics 2025-07-18 Gaopei Pan , Chuang Chen , Zi Yang Meng

Optimal sampled-data control of a nonlinear system is considered with the stable-manifold approach and extensive use of numerical techniques. The idea is to notice the Hamiltonian system associated with the considered optimal control…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Yasuaki Oishi , Noboru Sakamoto

We show how one can asymptotically reach the Heisenberg limit in quantum Hamiltonian learning without entanglement, globally coherent measurements, or dynamical control, using only local quantum operations. Our protocol uses…

Quantum Physics · Physics 2025-12-02 Bora Baran , Timothy Heightman

In this work, we develop a supervised learning model for implementing robust quantum control in composite-pulse systems, where the training parameters can be either phases, detunings, or Rabi frequencies. This model exhibits great…

Quantum Physics · Physics 2024-04-09 Zhi-Cheng Shi , Jun-Tong Ding , Ye-Hong Chen , Jie Song , Yan Xia , X. X. Yi , Franco Nori

State-space models (SSMs) are effective architectures for sequential modeling, but a rigorous theoretical understanding of their training dynamics is still lacking. In this work, we formulate the training of SSMs as an ensemble optimal…

Optimization and Control · Mathematics 2026-03-17 Ye Feng , Jianfeng Lu

We consider the Ensemble Kalman Inversion which has been recently introduced as an efficient, gradient-free optimisation method to estimate unknown parameters in an inverse setting. In the case of large data sets, the Ensemble Kalman…

Numerical Analysis · Mathematics 2023-12-05 Matei Hanu , Jonas Latz , Claudia Schillings

Iterative learning control (ILC) improves the performance of a repetitive system by learning from previous trials. ILC can be combined with Model Predictive Control (MPC) to mitigate non-repetitive disturbances, thus improving overall…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Riccardo Zuliani , Efe C. Balta , Alisa Rupenyan , John Lygeros

Optimal control of bilinear systems has been a well-studied subject in the areas of mathematical and computational optimal control. However, effective methods for solving emerging optimal control problems involving an ensemble of…

Optimization and Control · Mathematics 2016-12-02 Shuo Wang , Jr-Shin Li

Ensemble control aims to steer a population of dynamical systems using a shared control input. This paper introduces a constrained ensemble control framework for parameterized, heterogeneous robotic systems operating under state and…

Robotics · Computer Science 2025-12-05 Andres Arias , Wei Zhang , Haoyu Qian , Jr-Shin Li , Chuangchuang Sun

Control of machine learning models has emerged as an important paradigm for a broad range of robotics applications. In this paper, we present a sampling-based nonlinear model predictive control (NMPC) approach for control of neural network…

Robotics · Computer Science 2022-10-06 Iman Askari , Babak Badnava , Thomas Woodruff , Shen Zeng , Huazhen Fang

We propose a general model-free strategy for feedback control design of turbulent flows. This strategy called 'machine learning control' (MLC) is capable of exploiting nonlinear mechanisms in a systematic unsupervised manner. It relies on…

Control of the stochastic dynamics of a quantum system is indispensable in fields such as quantum information processing and metrology. However, there is no general ready-made approach to the design of efficient control strategies. Here, we…

Quantum Physics · Physics 2021-04-26 Frank Schäfer , Pavel Sekatski , Martin Koppenhöfer , Christoph Bruder , Michal Kloc

Most deep learning models are based on deep neural networks with multiple layers between input and output. The parameters defining these layers are initialized using random values and are "learned" from data, typically using stochastic…

Machine Learning · Computer Science 2019-03-05 Prakash Mohan , Marc T. Henry de Frahan , Ryan King , Ray W. Grout

In this paper, we propose a novel sampling control framework based on the emulation technique where the sampling error is regarded as an auxiliary input to the emulated system. Utilizing the supremum norm of sampling error, the design of…

Optimization and Control · Mathematics 2022-05-02 Lijun Zhu , Zhiyong Chen