Learning a model is paramount for sample efficiency in reinforcement learning control of PDEs
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Abstract (arXiv)
The goal of this paper is to make a strong point for the usage of dynamical models when using reinforcement learning (RL) for feedback control of dynamical systems governed by partial differential equations (PDEs). To breach the gap between the immense promises we see in RL and the applicability in complex engineering systems, the main challenges are the massive requirements in terms of the training data, as well as the lack of performance guarantees. We present a solution for the first issue using a data-driven surrogate model in the form of a convolutional LSTM with actuation. We demonstrate that learning an actuated model in parallel to training the RL agent significantly reduces the total amount of required data sampled from the real system. Furthermore, we show that iteratively updating the model is of major importance to avoid biases in the RL training. Detailed ablation studies reveal the most important ingredients of the modeling process. We use the chaotic Kuramoto-Sivashinsky equation do demonstarte our findings.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 45 of its 79 references that are in the map. First posted on arXiv 14 Feb 2023.
Builds on
45 of 79 references.
References · 45
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2017Proximal Policy Optimization Algorithmscited by 14,441
- 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
- 2019EfficientNet: Rethinking Model Scaling for Convolutional Neural Networkscited by 6,415
- 2016Layer Normalizationcited by 5,579
- 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,635
- 2015Continuous control with deep reinforcement learningcited by 3,279
- 2018Addressing Function Approximation Error in Actor-Critic Methodscited by 2,302
- 2015Deep Reinforcement Learning with Double Q-learningcited by 1,704
- 2019Dream to Control: Learning Behaviors by Latent Imaginationcited by 1,598
- 2016Neural Architecture Search with Reinforcement Learningcited by 1,489
33 more
- 2015Convolutional LSTM Network: A Machine Learning Approach for Precipitation Nowcastingcited by 1,428
- 2018Learning Latent Dynamics for Planning from Pixelscited by 1,221
- 2019Dota 2 with Large Scale Deep Reinforcement Learningcited by 1,084
- 2017Sigmoid-Weighted Linear Units for Neural Network Function Approximation in Reinforcement Learningcited by 935
- 2019When to Trust Your Model: Model-Based Policy Optimizationcited by 753
- 2018Deep Reinforcement Learning in a Handful of Trials using Probabilistic Dynamics Modelscited by 748
- 2020NVAE: A Deep Hierarchical Variational Autoencodercited by 635
- 2016Weight Normalization: A Simple Reparameterization to Accelerate Training of Deep Neural Networkscited by 541
- 2019Model-Based Reinforcement Learning for Ataricited by 495
- 2015Learning Deconvolution Network for Semantic Segmentationcited by 365
- 2017Neural Network Dynamics for Model-Based Deep Reinforcement Learning with Model-Free Fine-Tuningcited by 288
- 2018Model-Ensemble Trust-Region Policy Optimizationcited by 214
- 2019Benchmarking Model-Based Reinforcement Learningcited by 158
- 2017Sparse identification of nonlinear dynamics for model predictive control in the low-data limitcited by 139
- 2016Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive controlcited by 134
- 2014Dynamic mode decomposition with controlcited by 128
- 2019Modeling the Dynamics of PDE Systems with Physics-Constrained Deep Auto-Regressive Networkscited by 127
- 2019When to use parametric models in reinforcement learning?cited by 118
- 2021PhyCRNet: Physics-informed Convolutional-Recurrent Network for Solving Spatiotemporal PDEscited by 97
- 2019Exploring Model-based Planning with Policy Networkscited by 90
- 2017Recurrent Environment Simulatorscited by 68
- 2019A review on Deep Reinforcement Learning for Fluid Mechanicscited by 65
- 2017Koopman operator-based model reduction for switched-system control of PDEscited by 31
- 2019Control of chaotic systems by Deep Reinforcement Learningcited by 28
- 2018Deep autoregressive neural networks for high-dimensional inverse problems in groundwater contaminant source identificationcited by 26
- 2021Finite-data error bounds for Koopman-based prediction and controlcited by 26
- 2021Physics-informed Dyna-Style Model-Based Deep Reinforcement Learning for Dynamic Controlcited by 22
- 2023Distributed Control of Partial Differential Equations Using Convolutional Reinforcement Learningcited by 21
- 2022Data-driven control of spatiotemporal chaos with reduced-order neural ODE-based models and reinforcement learningcited by 16
- 2018The Effect of Planning Shape on Dyna-style Planning in High-dimensional State Spacescited by 15
- 2021Symmetry reduction for deep reinforcement learning active control of chaotic spatiotemporal dynamicscited by 10
- 2022Direct data-driven forecast of local turbulent heat flux in Rayleigh-B'enard convectioncited by 10
- 2021On the Universal Transformation of Data-Driven Models to Control Systemscited by 5
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