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Reactive (memoryless) policies are sufficient in completely observable Markov decision processes (MDPs), but some kind of memory is usually necessary for optimal control of a partially observable MDP. Policies with finite memory can be…

Artificial Intelligence · Computer Science 2013-01-30 Nicolas Meuleau , Leonid Peshkin , Kee-Eung Kim , Leslie Pack Kaelbling

In this paper, a new numerical method based on adaptive gradient descent optimizers is provided for computing the implied volatility from the Black-Scholes (B-S) option pricing model. It is shown that the new method is more accurate than…

Computational Finance · Quantitative Finance 2023-03-24 Yixiao Lu , Yihong Wang , Tinggan Yang

Inverse reinforcement learning (IRL) recovers the loss function of a forward learner from its observed responses. Adaptive IRL aims to reconstruct the loss function of a forward learner by passively observing its gradients as it performs…

Machine Learning · Computer Science 2026-05-07 Vikram Krishnamurthy , Luke Snow

Generative models have gained significant traction in offline reinforcement learning (RL) due to their ability to model complex trajectory distributions. However, existing generation-based approaches still struggle with long-horizon tasks…

Machine Learning · Computer Science 2026-03-02 Chenxing Lin , Xinhui Gao , Haipeng Zhang , Xinran Li , Haitao Wang , Songzhu Mei , Chenglu Wen , Weiquan Liu , Siqi Shen , Cheng Wang

We consider the estimation of an i.i.d. (possibly non-Gaussian) vector $\xbf \in \R^n$ from measurements $\ybf \in \R^m$ obtained by a general cascade model consisting of a known linear transform followed by a probabilistic componentwise…

Information Theory · Computer Science 2012-12-04 Ulugbek S. Kamilov , Sundeep Rangan , Alyson K. Fletcher , Michael Unser

We consider multi-value expansion planning (MEP), a general bilevel optimization model in which a planner optimizes arbitrary functions of the dispatch outcome in the presence of a partially controllable, competitive electricity market. The…

Optimization and Control · Mathematics 2024-04-02 Anthony Degleris , Abbas El Gamal , Ram Rajagopal

Reinforcement learning methods for robotics are increasingly successful due to the constant development of better policy gradient techniques. A precise (low variance) and accurate (low bias) gradient estimator is crucial to face…

Machine Learning · Computer Science 2021-07-21 João Carvalho , Davide Tateo , Fabio Muratore , Jan Peters

Physics-informed neural network (PINN) is a powerful emerging method for studying forward-inverse problems of partial differential equations (PDEs), even from limited sample data. Variable coefficient PDEs, which model real-world phenomena,…

Computational Physics · Physics 2025-03-07 Hui-Juan Zhou , Yong Chen

With the growing size of pre-trained models, full fine-tuning and storing all the parameters for various downstream tasks is costly and infeasible. In this paper, we propose a new parameter-efficient fine-tuning method, Gradient-based…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Zhi Zhang , Qizhe Zhang , Zijun Gao , Renrui Zhang , Ekaterina Shutova , Shiji Zhou , Shanghang Zhang

Overparameterized stochastic differential equation (SDE) models have achieved remarkable success in various complex environments, such as PDE-constrained optimization, stochastic control and reinforcement learning, financial engineering,…

Optimization and Control · Mathematics 2024-09-27 Shengbo Wang , Jose Blanchet , Peter Glynn

The periodic signal tracking and the unknown disturbance rejection under limited communication resources are main important issues in many physical systems and practical applications. The control of such systems has some challenges such as…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Mohammed Soliman , Abdul-Wahid A. Saif

A conventional Bayesian approach to prediction uses the posterior distribution to integrate out parameters in a density for unobserved data conditional on the observed data and parameters. When the true posterior is intractable, it is…

Methodology · Statistics 2026-02-27 Lucas Kock , Scott A. Sisson , G. S. Rodrigues , David J. Nott

Although input-gradients techniques have evolved to mitigate and tackle the challenges associated with gradients, modern gradient-weighted CAM approaches still rely on vanilla gradients, which are inherently susceptible to the saturation…

Machine Learning · Computer Science 2024-06-27 Vincenzo Buono , Peyman Sheikholharam Mashhadi , Mahmoud Rahat , Prayag Tiwari , Stefan Byttner

We consider an improper reinforcement learning setting where a learner is given $M$ base controllers for an unknown Markov decision process, and wishes to combine them optimally to produce a potentially new controller that can outperform…

Machine Learning · Computer Science 2021-07-06 Mohammadi Zaki , Avinash Mohan , Aditya Gopalan , Shie Mannor

The task of estimating the gradient of a function in the presence of noise is central to several forms of reinforcement learning, including policy search methods. We present two techniques for reducing gradient estimation errors in the…

Machine Learning · Computer Science 2012-12-12 Gregory Lawrence , Noah Cowan , Stuart Russell

Accurate calibration of control parameters in quantum gates is crucial for high-fidelity operations, yet it represents a significant time and resource challenge, necessitating periods of downtime for quantum computers. Robust Phase…

Quantum Physics · Physics 2024-07-29 Travis Hurant , Ke Sun , Zhubing Jia , Jungsang Kim , Kenneth R. Brown

Recent work on data-driven control and reinforcement learning has renewed interest in a relative old field in control theory: model-free optimal control approaches which work directly with a cost function and do not rely upon perfect…

Optimization and Control · Mathematics 2021-08-31 Eduardo D. Sontag

This paper proposes a new gradient-based optimization approach for designing optimal feedback kernels for parabolic distributed parameter systems with boundary control. Unlike traditional kernel optimization methods for parabolic systems,…

Optimization and Control · Mathematics 2016-03-16 Zhigang Ren , Chao Xu , Qun Lin , Ryan Loxton

We study the policy gradient method (PGM) for the linear quadratic Gaussian (LQG) dynamic output-feedback control problem using an input-output-history (IOH) representation of the closed-loop system. First, we show that any dynamic…

Optimization and Control · Mathematics 2025-10-23 Tomonori Sadamoto , Takashi Tanaka

We study in this paper the problem of adaptive trajectory tracking control for a class of nonlinear systems with parametric uncertainties. We propose to use a modular approach, where we first design a robust nonlinear state feedback which…

Systems and Control · Computer Science 2015-09-28 Mouhacine Benosman , Amir-massoud Farahmand , Meng Xia
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