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In this paper, we formulate the adaptive learning problem---the problem of how to find an individualized learning plan (called policy) that chooses the most appropriate learning materials based on learner's latent traits---faced in adaptive…

Machine Learning · Computer Science 2020-04-21 Xiao Li , Hanchen Xu , Jinming Zhang , Hua-hua Chang

In this paper we extend the adaptive gradient descent (AdaGrad) algorithm to the optimal distributed control of parabolic partial differential equations with uncertain parameters. This stochastic optimization method achieves an improved…

Optimization and Control · Mathematics 2021-10-22 Yanzhao Cao , Somak Das , Hans-Werner van Wyk

Quantum hardware suffers from intrinsic device heterogeneity and environmental drift, forcing practitioners to choose between suboptimal non-adaptive controllers or costly per-device recalibration. We derive a scaling law lower bound for…

Machine Learning · Computer Science 2026-05-21 Nima Leclerc , Chris Miller , Nicholas Brawand

Due to the large state space of the two-qubit system, and the adoption of ladder reward function in the existing quantum state preparation methods, the convergence speed is slow and it is difficult to prepare the desired target quantum…

Quantum Physics · Physics 2024-05-14 Wenjie Liu , Jing Xu , Bosi Wang

The entropy accumulation theorem, and its subsequent generalized version, is a powerful tool in the security analysis of many device-dependent and device-independent cryptography protocols. However, it has the drawback that the finite-size…

Quantum Physics · Physics 2025-12-22 Amir Arqand , Thomas A. Hahn , Ernest Y. -Z. Tan

Neural-network quantum states (NQS) are powerful neural-network ans\"atzes that have emerged as promising tools for studying quantum many-body physics through the lens of the variational principle. These architectures are known to be…

Disordered Systems and Neural Networks · Physics 2025-07-28 Jake McNaughton , Mohamed Hibat-Allah

Generative modelling is an important unsupervised task in machine learning. In this work, we study a hybrid quantum-classical approach to this task, based on the use of a quantum circuit Born machine. In particular, we consider training a…

Quantum Physics · Physics 2021-10-11 Chiara Leadbeater , Louis Sharrock , Brian Coyle , Marcello Benedetti

In this article we provide a method for fully quantum generative training of quantum Boltzmann machines with both visible and hidden units while using quantum relative entropy as an objective. This is significant because prior methods were…

Quantum Physics · Physics 2019-05-27 Nathan Wiebe , Leonard Wossnig

We propose an algorithm for the adaptation of the learning rate for stochastic gradient descent (SGD) that avoids the need for validation set use. The idea for the adaptiveness comes from the technique of extrapolation: to get an estimate…

Machine Learning · Statistics 2020-08-28 Antti Koskela , Antti Honkela

Quantum supervised learning, utilizing variational circuits, stands out as a promising technology for NISQ devices due to its efficiency in hardware resource utilization during the creation of quantum feature maps and the implementation of…

Quantum Physics · Physics 2023-11-15 Anton Simen Albino , Rodrigo Bloot , Otto M. Pires , Erick G. S. Nascimento

Chebyshev polynomials have shown significant promise as an efficient tool for both classical and quantum neural networks to solve linear and nonlinear differential equations. In this work, we adapt and generalize this framework in a quantum…

Quantum Physics · Physics 2025-01-22 Abhishek Setty , Rasul Abdusalamov , Felix Motzoi

We propose Hamiltonian Quantum Generative Adversarial Networks (HQuGANs), to learn to generate unknown input quantum states using two competing quantum optimal controls. The game-theoretic framework of the algorithm is inspired by the…

Quantum Physics · Physics 2024-07-09 Leeseok Kim , Seth Lloyd , Milad Marvian

We build a theoretical framework for designing and understanding practical meta-learning methods that integrates sophisticated formalizations of task-similarity with the extensive literature on online convex optimization and sequential…

Machine Learning · Computer Science 2019-12-10 Mikhail Khodak , Maria-Florina Balcan , Ameet Talwalkar

This study aims to develop an adaptive learning platform that leverages generative AI to automate assessment creation and feedback delivery. The platform provides self-correcting tests and personalised feedback that adapts to each learners…

Human-Computer Interaction · Computer Science 2025-11-07 Riya Gill , Ievgeniia Kuzminykh , Maher Salem , Bogdan Ghita

It is challenging to construct metrology schemes which harness quantum features such as entanglement and coherence to surpass the standard quantum limit. We propose an ansatz for devising adaptive-feedback quantum metrology (AFQM) strategy…

Quantum Physics · Physics 2020-02-19 Yi Peng , Heng Fan

Quantum computing offers exciting opportunities for simulating complex quantum systems and optimizing large scale combinatorial problems, but its practical use is limited by device noise and constrained connectivity. Designing quantum…

Quantum Physics · Physics 2026-03-19 Akash Kundu , Leopoldo Sarra

Quantum computing requires the optimization of control pulses to achieve high-fidelity quantum gates. We propose a machine learning-based protocol to address the challenges of evaluating gradients and modeling complex system dynamics. By…

Quantum Physics · Physics 2026-01-27 Paul Surrey , Julian D. Teske , Tobias Hangleiter , Hendrik Bluhm , Pascal Cerfontaine

In the realm of quantum control, reinforcement learning, a prominent branch of machine learning, emerges as a competitive candidate for computer-assisted optimal design for experiments. This study investigates the extent to which guidance…

Quantum Physics · Physics 2024-09-20 Tian-Niu Xu , Yongcheng Ding , José D. Martín-Guerrero , Xi Chen

Hybrid quantum-classical algorithms provide ways to use noisy intermediate-scale quantum computers for practical applications. Expanding the portfolio of such techniques, we propose a quantum circuit learning algorithm that can be used to…

We introduce an adaptive sampling method for the Deep Ritz method aimed at solving partial differential equations (PDEs). Two deep neural networks are used. One network is employed to approximate the solution of PDEs, while the other one is…

Machine Learning · Computer Science 2023-10-31 Xiaoliang Wan , Tao Zhou , Yuancheng Zhou
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