Sample-efficient diffusion-based control of complex nonlinear systems
- URL: http://arxiv.org/abs/2502.17893v1
- Date: Tue, 25 Feb 2025 06:30:04 GMT
- Title: Sample-efficient diffusion-based control of complex nonlinear systems
- Authors: Hongyi Chen, Jingtao Ding, Jianhai Shu, Xinchun Yu, Xiaojun Liang, Yong Li, Xiao-Ping Zhang,
- Abstract summary: SEDC is a novel diffusion-based control framework addressing high-dimensional state-action spaces, nonlinear system dynamics, and the gap between non-optimal training data and near-optimal control solutions.<n>Our approach represents a significant advancement in sample-efficient control of complex nonlinear systems.
- Score: 12.75120974078924
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Complex nonlinear system control faces challenges in achieving sample-efficient, reliable performance. While diffusion-based methods have demonstrated advantages over classical and reinforcement learning approaches in long-term control performance, they are limited by sample efficiency. This paper presents SEDC (Sample-Efficient Diffusion-based Control), a novel diffusion-based control framework addressing three core challenges: high-dimensional state-action spaces, nonlinear system dynamics, and the gap between non-optimal training data and near-optimal control solutions. Through three innovations - Decoupled State Diffusion, Dual-Mode Decomposition, and Guided Self-finetuning - SEDC achieves 39.5\%-49.4\% better control accuracy than baselines while using only 10\% of the training samples, as validated across three complex nonlinear dynamic systems. Our approach represents a significant advancement in sample-efficient control of complex nonlinear systems. The implementation of the code can be found at https://anonymous.4open.science/r/DIFOCON-C019.
Related papers
- Model-based controller assisted domain randomization in deep reinforcement learning: application to nonlinear powertrain control [0.0]
This study proposes a new robust control approach using the framework of deep reinforcement learning (DRL)
The problem setup is modeled via the latent Markov decision process (LMDP), a set of vanilla MDPs, for a controlled system subject to uncertainties and nonlinearities.
Compared to traditional DRL-based controls, the proposed controller design is smarter in that we can achieve a high level of generalization ability.
arXiv Detail & Related papers (2025-04-28T12:09:07Z) - Latent feedback control of distributed systems in multiple scenarios through deep learning-based reduced order models [3.5161229331588095]
Continuous monitoring and real-time control of high-dimensional distributed systems are crucial in applications to ensure a desired physical behavior.<n>Traditional feedback control design that relies on full-order models fails to meet these requirements due to the delay in the control computation.<n>We propose a real-time closed-loop control strategy enhanced by nonlinear non-intrusive Deep Learning-based Reduced Order Models (DL-ROMs)
arXiv Detail & Related papers (2024-12-13T08:04:21Z) - Learning Controlled Stochastic Differential Equations [61.82896036131116]
This work proposes a novel method for estimating both drift and diffusion coefficients of continuous, multidimensional, nonlinear controlled differential equations with non-uniform diffusion.
We provide strong theoretical guarantees, including finite-sample bounds for (L2), (Linfty), and risk metrics, with learning rates adaptive to coefficients' regularity.
Our method is available as an open-source Python library.
arXiv Detail & Related papers (2024-11-04T11:09:58Z) - CL-DiffPhyCon: Closed-loop Diffusion Control of Complex Physical Systems [10.167080282182972]
We propose an efficient Closed-Loop Diffusion method for Physical systems Control (CL-DiffPhyCon)<n>By employing an asynchronous denoising framework for different physical time steps, CL-DiffPhyCon generates control signals conditioned on real-time feedback from the system.<n>We evaluate CL-DiffPhyCon on two tasks: 1D Burgers' equation control and 2D incompressible fluid control.
arXiv Detail & Related papers (2024-07-31T14:54:29Z) - Adding Conditional Control to Diffusion Models with Reinforcement Learning [68.06591097066811]
Diffusion models are powerful generative models that allow for precise control over the characteristics of the generated samples.<n>While these diffusion models trained on large datasets have achieved success, there is often a need to introduce additional controls in downstream fine-tuning processes.<n>This work presents a novel method based on reinforcement learning (RL) to add such controls using an offline dataset.
arXiv Detail & Related papers (2024-06-17T22:00:26Z) - Random Features Approximation for Control-Affine Systems [6.067043299145924]
We propose two novel classes of nonlinear feature representations which capture control affine structure.
Our methods make use of random features (RF) approximations, inheriting the expressiveness of kernel methods at a lower computational cost.
arXiv Detail & Related papers (2024-06-10T17:54:57Z) - Learning to Boost the Performance of Stable Nonlinear Systems [0.0]
We tackle the performance-boosting problem with closed-loop stability guarantees.
Our methods enable learning over arbitrarily deep neural network classes of performance-boosting controllers for stable nonlinear systems.
arXiv Detail & Related papers (2024-05-01T21:11:29Z) - Distributionally Robust Model-based Reinforcement Learning with Large
State Spaces [55.14361269378122]
Three major challenges in reinforcement learning are the complex dynamical systems with large state spaces, the costly data acquisition processes, and the deviation of real-world dynamics from the training environment deployment.
We study distributionally robust Markov decision processes with continuous state spaces under the widely used Kullback-Leibler, chi-square, and total variation uncertainty sets.
We propose a model-based approach that utilizes Gaussian Processes and the maximum variance reduction algorithm to efficiently learn multi-output nominal transition dynamics.
arXiv Detail & Related papers (2023-09-05T13:42:11Z) - 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) - Sparsity in Partially Controllable Linear Systems [56.142264865866636]
We study partially controllable linear dynamical systems specified by an underlying sparsity pattern.
Our results characterize those state variables which are irrelevant for optimal control.
arXiv Detail & Related papers (2021-10-12T16:41:47Z) - DEALIO: Data-Efficient Adversarial Learning for Imitation from
Observation [57.358212277226315]
In imitation learning from observation IfO, a learning agent seeks to imitate a demonstrating agent using only observations of the demonstrated behavior without access to the control signals generated by the demonstrator.
Recent methods based on adversarial imitation learning have led to state-of-the-art performance on IfO problems, but they typically suffer from high sample complexity due to a reliance on data-inefficient, model-free reinforcement learning algorithms.
This issue makes them impractical to deploy in real-world settings, where gathering samples can incur high costs in terms of time, energy, and risk.
We propose a more data-efficient IfO algorithm
arXiv Detail & Related papers (2021-03-31T23:46:32Z) - Optimization-driven Machine Learning for Intelligent Reflecting Surfaces
Assisted Wireless Networks [82.33619654835348]
Intelligent surface (IRS) has been employed to reshape the wireless channels by controlling individual scattering elements' phase shifts.
Due to the large size of scattering elements, the passive beamforming is typically challenged by the high computational complexity.
In this article, we focus on machine learning (ML) approaches for performance in IRS-assisted wireless networks.
arXiv Detail & Related papers (2020-08-29T08:39:43Z)
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.