Single-step deep reinforcement learning for open-loop control of laminar
and turbulent flows
- URL: http://arxiv.org/abs/2006.02979v2
- Date: Wed, 24 Mar 2021 14:44:23 GMT
- Title: Single-step deep reinforcement learning for open-loop control of laminar
and turbulent flows
- Authors: H. Ghraieb, J. Viquerat, A. Larcher, P. Meliga, E. Hachem
- Abstract summary: This research gauges the ability of deep reinforcement learning (DRL) techniques to assist the optimization and control of fluid mechanical systems.
It combines a novel, "degenerate" version of the prototypical policy optimization (PPO) algorithm, that trains a neural network in optimizing the system only once per learning episode.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: This research gauges the ability of deep reinforcement learning (DRL)
techniques to assist the optimization and control of fluid mechanical systems.
It combines a novel, "degenerate" version of the proximal policy optimization
(PPO) algorithm, that trains a neural network in optimizing the system only
once per learning episode, and an in-house stabilized finite elements
environment implementing the variational multiscale (VMS) method, that computes
the numerical reward fed to the neural network. Three prototypical examples of
separated flows in two dimensions are used as testbed for developing the
methodology, each of which adds a layer of complexity due either to the
unsteadiness of the flow solutions, or the sharpness of the objective function,
or the dimension of the control parameter space. Relevance is carefully
assessed by comparing systematically to reference data obtained by canonical
direct and adjoint methods. Beyond adding value to the shallow literature on
this subject, these findings establish the potential of single-step PPO for
reliable black-box optimization of computational fluid dynamics (CFD) systems,
which paves the way for future progress in optimal flow control using this new
class of methods.
Related papers
- MPC of Uncertain Nonlinear Systems with Meta-Learning for Fast Adaptation of Neural Predictive Models [6.031205224945912]
A neural State-Space Model (NSSM) is used to approximate the nonlinear system, where a deep encoder network learns the nonlinearity from data.
This transforms the nonlinear system into a linear system in a latent space, enabling the application of model predictive control (MPC) to determine effective control actions.
arXiv Detail & Related papers (2024-04-18T11:29:43Z) - Large-Scale OD Matrix Estimation with A Deep Learning Method [70.78575952309023]
The proposed method integrates deep learning and numerical optimization algorithms to infer matrix structure and guide numerical optimization.
We conducted tests to demonstrate the good generalization performance of our method on a large-scale synthetic dataset.
arXiv Detail & Related papers (2023-10-09T14:30:06Z) - Unsupervised Deep Unfolded PGD for Transmit Power Allocation in Wireless
Systems [0.6091702876917281]
We propose a simple low-complexity TPC algorithm based on the deep unfolding of the iterative projected gradient (PGD) algorithm into layers of a deep neural network and learning the step-size parameters.
Performance evaluation in dense device-to-device (D2D) communication scenarios showed that the proposed method can achieve better performance than the iterative algorithm with more than a factor of 2 lower number of iterations.
arXiv Detail & Related papers (2023-06-20T19:51:21Z) - Optimization of a Hydrodynamic Computational Reservoir through Evolution [58.720142291102135]
We interface with a model of a hydrodynamic system, under development by a startup, as a computational reservoir.
We optimized the readout times and how inputs are mapped to the wave amplitude or frequency using an evolutionary search algorithm.
Applying evolutionary methods to this reservoir system substantially improved separability on an XNOR task, in comparison to implementations with hand-selected parameters.
arXiv Detail & Related papers (2023-04-20T19:15:02Z) - Interval Reachability of Nonlinear Dynamical Systems with Neural Network
Controllers [5.543220407902113]
This paper proposes a computationally efficient framework, based on interval analysis, for rigorous verification of nonlinear continuous-time dynamical systems with neural network controllers.
Inspired by mixed monotone theory, we embed the closed-loop dynamics into a larger system using an inclusion function of the neural network and a decomposition function of the open-loop system.
We show that one can efficiently compute hyper-rectangular over-approximations of the reachable sets using a single trajectory of the embedding system.
arXiv Detail & Related papers (2023-01-19T06:46:36Z) - Semi-supervised Learning of Partial Differential Operators and Dynamical
Flows [68.77595310155365]
We present a novel method that combines a hyper-network solver with a Fourier Neural Operator architecture.
We test our method on various time evolution PDEs, including nonlinear fluid flows in one, two, and three spatial dimensions.
The results show that the new method improves the learning accuracy at the time point of supervision point, and is able to interpolate and the solutions to any intermediate time.
arXiv Detail & Related papers (2022-07-28T19:59:14Z) - Comparative analysis of machine learning methods for active flow control [60.53767050487434]
Genetic Programming (GP) and Reinforcement Learning (RL) are gaining popularity in flow control.
This work presents a comparative analysis of the two, bench-marking some of their most representative algorithms against global optimization techniques.
arXiv Detail & Related papers (2022-02-23T18:11:19Z) - Robust Visual Odometry Using Position-Aware Flow and Geometric Bundle
Adjustment [16.04240592057438]
A novel optical flow network (PANet) built on a position-aware mechanism is proposed first.
Then, a novel system that jointly estimates depth, optical flow, and ego-motion without a typical network to learning ego-motion is proposed.
Experiments show that the proposed system not only outperforms other state-of-the-art methods in terms of depth, flow, and VO estimation.
arXiv Detail & Related papers (2021-11-22T12:05:27Z) - Efficient Model-Based Multi-Agent Mean-Field Reinforcement Learning [89.31889875864599]
We propose an efficient model-based reinforcement learning algorithm for learning in multi-agent systems.
Our main theoretical contributions are the first general regret bounds for model-based reinforcement learning for MFC.
We provide a practical parametrization of the core optimization problem.
arXiv Detail & Related papers (2021-07-08T18:01:02Z) - Unsupervised learning of disentangled representations in deep restricted
kernel machines with orthogonality constraints [15.296955630621566]
Constr-DRKM is a deep kernel method for the unsupervised learning of disentangled data representations.
We quantitatively evaluate the proposed method's effectiveness in disentangled feature learning.
arXiv Detail & Related papers (2020-11-25T11:40:10Z) - An Ode to an ODE [78.97367880223254]
We present a new paradigm for Neural ODE algorithms, called ODEtoODE, where time-dependent parameters of the main flow evolve according to a matrix flow on the group O(d)
This nested system of two flows provides stability and effectiveness of training and provably solves the gradient vanishing-explosion problem.
arXiv Detail & Related papers (2020-06-19T22:05:19Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.