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Sophisticated multilayer neural networks have achieved state of the art results on multiple supervised tasks. However, successful applications of such multilayer networks to control have so far been limited largely to the perception portion…

Machine Learning · Computer Science 2013-11-08 Sergey Levine

We present a deep recurrent neural network architecture to solve a class of stochastic optimal control problems described by fully nonlinear Hamilton Jacobi Bellmanpartial differential equations. Such PDEs arise when one considers…

Machine Learning · Computer Science 2019-12-24 Marcus A Pereira , Ziyi Wang , Tianrong Chen , Emily Reed , Evangelos A Theodorou

A properly designed controller can help improve the quality of experimental measurements or force a dynamical system to follow a completely new time-evolution path. Recent developments in deep reinforcement learning have made steep advances…

Statistical Mechanics · Physics 2025-02-26 Ruslan Mukhamadiarov

Deep sequence models have achieved notable success in time-series analysis, such as interpolation and forecasting. Recent advances move beyond discrete-time architectures like Recurrent Neural Networks (RNNs) toward continuous-time…

Machine Learning · Computer Science 2025-08-05 Haoran Li , Muhao Guo , Yang Weng , Hanghang Tong

Spiking neural networks (SNNs) are rapidly gaining momentum as an alternative to conventional artificial neural networks in resource constrained edge systems. In this work, we continue a recent research line on recurrent SNNs where axonal…

Neural and Evolutionary Computing · Computer Science 2026-04-20 Lúcio Folly Sanches Zebendo , Eleonora Cicciarella , Michele Rossi

In recent years, deep learning has been connected with optimal control as a way to define a notion of a continuous underlying learning problem. In this view, neural networks can be interpreted as a discretization of a parametric Ordinary…

Optimization and Control · Mathematics 2020-07-07 Joubine Aghili , Olga Mula

This paper presents a Newton-based stochastic extremum-seeking control method for real-time optimization in multi-input systems with distinct input delays. It combines predictor-based feedback and Hessian inverse estimation via stochastic…

Optimization and Control · Mathematics 2025-02-04 Paulo Cesar Souza Silva , Paulo Cesar Pellanda , Tiago Roux Oliveira

This paper investigates optimal control problems for delayed systems governed by Infinitely Anticipated Backward Stochastic Differential Equations (IABSDEs). Unlike existing frameworks limited to bounded delays, we introduce a generalized…

Optimization and Control · Mathematics 2025-12-22 Guanwei Cheng

In this paper we are introducing a new reinforcement learning method for control problems in environments with delayed feedback. Specifically, our method employs stochastic planning, versus previous methods that used deterministic planning.…

Machine Learning · Computer Science 2024-02-02 Zhiyuan Yao , Ionut Florescu , Chihoon Lee

Bidding in real-time auctions can be a difficult stochastic control task; especially if underdelivery incurs strong penalties and the market is very uncertain. Most current works and implementations focus on optimally delivering a campaign…

Machine Learning · Computer Science 2020-06-15 Nicolas Grislain , Nicolas Perrin , Antoine Thabault

Control problems frequently arise in scientific and industrial applications, where the objective is to steer a dynamical system from an initial state to a desired target state. Recent advances in deep learning and automatic differentiation…

Systems and Control · Electrical Eng. & Systems 2026-01-09 Lucas Böttcher

In response to the continuously changing feedstock supply and market demand for products with different specifications, the processes need to be operated at time-varying operating conditions and targets (e.g., setpoints) to improve the…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Lai Wei , Ryan McCloy , Jie Bao

We study methods for solving stochastic control problems of systems of forward-backward mean-field equations with delay, in finite or infinite horizon. Necessary and sufficient maximum principles under partial information are given. The…

Optimization and Control · Mathematics 2016-10-31 Nacira Agram , Elin Engen Rose

We consider a general class of mean field control problems described by stochastic delayed differential equations of McKean-Vlasov type. Two numerical algorithms are provided based on deep learning techniques, one is to directly…

Optimization and Control · Mathematics 2019-10-10 Jean-Pierre Fouque , Zhaoyu Zhang

This paper proposes a supervisory control structure for networked systems with time-varying delays. The control structure, in which a supervisor triggers the most appropriate controller from a multi-controller unit, aims at improving the…

Systems and Control · Computer Science 2013-03-28 Burak Demirel , Corentin Briat , Mikael Johansson

Partially observed control problems are a challenging aspect of reinforcement learning. We extend two related, model-free algorithms for continuous control -- deterministic policy gradient and stochastic value gradient -- to solve partially…

Machine Learning · Computer Science 2015-12-15 Nicolas Heess , Jonathan J Hunt , Timothy P Lillicrap , David Silver

This paper presents several numerical applications of deep learning-based algorithms that have been introduced in [HPBL18]. Numerical and comparative tests using TensorFlow illustrate the performance of our different algorithms, namely…

Optimization and Control · Mathematics 2022-03-08 Achref Bachouch , Côme Huré , Nicolas Langrené , Huyen Pham

Ability of deep networks to extract high level features and of recurrent networks to perform time-series inference have been studied. In view of universality of one hidden layer network at approximating functions under weak constraints, the…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Sharat C. Prasad , Piyush Prasad

In this paper, we propose an efficient implementation of deep policy gradient method (PGM) for optimal control problems in continuous time. The proposed method has the ability to manage the allocation of computational resources, number of…

Optimization and Control · Mathematics 2025-02-25 Arash Fahim , Md. Arafatur Rahman

In this paper, an open problem is solved, for the stochastic optimal control problem with delay where the control domain is nonconvex and the diffusion term contains both control and its delayed term. Inspired by previous results by \O…

Optimization and Control · Mathematics 2020-07-14 Weijun Meng , Jingtao Shi