Fuzzy Model Identification and Self Learning with Smooth Compositions
- URL: http://arxiv.org/abs/2501.01994v1
- Date: Tue, 31 Dec 2024 20:19:02 GMT
- Title: Fuzzy Model Identification and Self Learning with Smooth Compositions
- Authors: Ebrahim Navid Sadjadi, Jesus Garcia, Jose M. Molina, Akbar Hashemi Borzabadi, Monireh Asadi Abchouyeh,
- Abstract summary: This paper develops a smooth model identification and self-learning strategy for dynamic systems.
We have tried to solve the problem such that the model follows the changes and variations in the system on a continuous and smooth surface.
- Score: 1.9573380763700716
- License:
- Abstract: This paper develops a smooth model identification and self-learning strategy for dynamic systems taking into account possible parameter variations and uncertainties. We have tried to solve the problem such that the model follows the changes and variations in the system on a continuous and smooth surface. Running the model to adaptively gain the optimum values of the parameters on a smooth surface would facilitate further improvements in the application of other derivative based optimization control algorithms such as MPC or robust control algorithms to achieve a combined modeling-control scheme. Compared to the earlier works on the smooth fuzzy modeling structures, we could reach a desired trade-off between the model optimality and the computational load. The proposed method has been evaluated on a test problem as well as the non-linear dynamic of a chemical process.
Related papers
- On characterizing optimal learning trajectories in a class of learning problems [0.0]
This paper exploits the relationship between the maximum principle and dynamic programming for characterizing optimal learning trajectories in a class of learning problem.
We provide an algorithmic recipe how to construct the corresponding optimal learning trajectories leading to the optimal estimated model parameters for such a class of learning problem.
arXiv Detail & Related papers (2025-01-27T21:43:35Z) - Merging Models on the Fly Without Retraining: A Sequential Approach to Scalable Continual Model Merging [75.93960998357812]
Deep model merging represents an emerging research direction that combines multiple fine-tuned models to harness their capabilities across different tasks and domains.
Current model merging techniques focus on merging all available models simultaneously, with weight matrices-based methods being the predominant approaches.
We propose a training-free projection-based continual merging method that processes models sequentially.
arXiv Detail & Related papers (2025-01-16T13:17:24Z) - Towards Learning Stochastic Population Models by Gradient Descent [0.0]
We show that simultaneous estimation of parameters and structure poses major challenges for optimization procedures.
We demonstrate accurate estimation of models but find that enforcing the inference of parsimonious, interpretable models drastically increases the difficulty.
arXiv Detail & Related papers (2024-04-10T14:38:58Z) - Model-based Reinforcement Learning for Parameterized Action Spaces [11.94388805327713]
We propose a novel model-based reinforcement learning algorithm for PAMDPs.
The agent learns a parameterized-action-conditioned dynamics model and plans with a modified Model Predictive Path Integral control.
Our empirical results on several standard benchmarks show that our algorithm achieves superior sample efficiency and performance than state-of-the-art PAMDP methods.
arXiv Detail & Related papers (2024-04-03T19:48:13Z) - Latent Variable Representation for Reinforcement Learning [131.03944557979725]
It remains unclear theoretically and empirically how latent variable models may facilitate learning, planning, and exploration to improve the sample efficiency of model-based reinforcement learning.
We provide a representation view of the latent variable models for state-action value functions, which allows both tractable variational learning algorithm and effective implementation of the optimism/pessimism principle.
In particular, we propose a computationally efficient planning algorithm with UCB exploration by incorporating kernel embeddings of latent variable models.
arXiv Detail & Related papers (2022-12-17T00:26:31Z) - When to Update Your Model: Constrained Model-based Reinforcement
Learning [50.74369835934703]
We propose a novel and general theoretical scheme for a non-decreasing performance guarantee of model-based RL (MBRL)
Our follow-up derived bounds reveal the relationship between model shifts and performance improvement.
A further example demonstrates that learning models from a dynamically-varying number of explorations benefit the eventual returns.
arXiv Detail & Related papers (2022-10-15T17:57:43Z) - Gaussian Process-based Min-norm Stabilizing Controller for
Control-Affine Systems with Uncertain Input Effects and Dynamics [90.81186513537777]
We propose a novel compound kernel that captures the control-affine nature of the problem.
We show that this resulting optimization problem is convex, and we call it Gaussian Process-based Control Lyapunov Function Second-Order Cone Program (GP-CLF-SOCP)
arXiv Detail & Related papers (2020-11-14T01:27:32Z) - Control as Hybrid Inference [62.997667081978825]
We present an implementation of CHI which naturally mediates the balance between iterative and amortised inference.
We verify the scalability of our algorithm on a continuous control benchmark, demonstrating that it outperforms strong model-free and model-based baselines.
arXiv Detail & Related papers (2020-07-11T19:44:09Z) - Automatically Learning Compact Quality-aware Surrogates for Optimization
Problems [55.94450542785096]
Solving optimization problems with unknown parameters requires learning a predictive model to predict the values of the unknown parameters and then solving the problem using these values.
Recent work has shown that including the optimization problem as a layer in a complex training model pipeline results in predictions of iteration of unobserved decision making.
We show that we can improve solution quality by learning a low-dimensional surrogate model of a large optimization problem.
arXiv Detail & Related papers (2020-06-18T19:11:54Z) - Uncertainty Modelling in Risk-averse Supply Chain Systems Using
Multi-objective Pareto Optimization [0.0]
One of the arduous tasks in supply chain modelling is to build robust models against irregular variations.
We have introduced a novel methodology namely, Pareto Optimization to handle uncertainties and bound the entropy of such uncertainties by explicitly modelling them under some apriori assumptions.
arXiv Detail & Related papers (2020-04-24T21:04:25Z) - Automatic Differentiation and Continuous Sensitivity Analysis of Rigid
Body Dynamics [15.565726546970678]
We introduce a differentiable physics simulator for rigid body dynamics.
In the context of trajectory optimization, we introduce a closed-loop model-predictive control algorithm.
arXiv Detail & Related papers (2020-01-22T03:54:00Z)
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.