Search Results for author: Maarten Schoukens

Found 22 papers, 5 papers with code

Learning-based model augmentation with LFRs

no code implementations2 Apr 2024 Jan H. Hoekstra, Chris Verhoek, Roland Tóth, Maarten Schoukens

This model structure is able to represent many common model augmentation structures, thus unifying them under the proposed model structure.

State Derivative Normalization for Continuous-Time Deep Neural Networks

no code implementations5 Jan 2024 Jonas Weigand, Gerben I. Beintema, Jonas Ulmen, Daniel Görges, Roland Tóth, Maarten Schoukens, Martin Ruskowski

However, in continuous-time state-space model estimation, it has been observed that improper normalization of either the hidden state or hidden state derivative of the model estimate, or even of the time interval can lead to numerical and optimization challenges with deep learning based methods.

Meta-State-Space Learning: An Identification Approach for Stochastic Dynamical Systems

1 code implementation13 Jul 2023 Gerben I. Beintema, Maarten Schoukens, Roland Tóth

Available methods for identification of stochastic dynamical systems from input-output data generally impose restricting structural assumptions on either the noise structure in the data-generating system or the possible state probability distributions.

Physics-Informed Learning Using Hamiltonian Neural Networks with Output Error Noise Models

no code implementations2 May 2023 Sarvin Moradi, Nick Jaensson, Roland Tóth, Maarten Schoukens

Hamiltonian Neural Networks (HNNs) implement Hamiltonian theory in deep learning and form a comprehensive framework for modeling autonomous energy-conservative systems.

Initialization Approach for Nonlinear State-Space Identification via the Subspace Encoder Approach

no code implementations4 Apr 2023 Rishi Ramkannan, Gerben I. Beintema, Roland Tóth, Maarten Schoukens

The SUBNET neural network architecture has been developed to identify nonlinear state-space models from input-output data.

Computationally efficient predictive control based on ANN state-space models

no code implementations30 Mar 2023 Jan H. Hoekstra, Bence Cseppentő, Gerben I. Beintema, Maarten Schoukens, Zsolt Kollár, Roland Tóth

Artificial neural networks (ANN) have been shown to be flexible and effective function estimators for identification of nonlinear state-space models.

Model Predictive Control

Finite Dimensional Koopman Form of Polynomial Nonlinear Systems

no code implementations16 Jan 2023 Lucian Cristian Iacob, Maarten Schoukens, Roland Tóth

The Koopman framework is a popular approach to transform a finite dimensional nonlinear system into an infinite dimensional, but linear model through a lifting process, using so-called observable functions.

A Data-driven Pricing Scheme for Optimal Routing through Artificial Currencies

no code implementations27 Nov 2022 David van de Sanden, Maarten Schoukens, Mauro Salazar

Our numerical results show that the proposed data-driven pricing scheme can effectively align the users' flows with the system optimum, significantly reducing the societal costs with respect to the uncontrolled flows (by about 15% and 25% depending on the scenario), and respond to environmental changes in a robust and efficient manner.

Fairness Model-based Reinforcement Learning

Deep Subspace Encoders for Nonlinear System Identification

no code implementations26 Oct 2022 Gerben I. Beintema, Maarten Schoukens, Roland Tóth

In this paper, we aim to overcome these issues by proposing a method which uses a truncated prediction loss and a subspace encoder for state estimation.

Time Series Time Series Analysis

Koopman Form of Nonlinear Systems with Inputs

no code implementations25 Jul 2022 Lucian Cristian Iacob, Roland Tóth, Maarten Schoukens

In applications for systems with inputs, generally a linear time invariant (LTI) form of the Koopman model is assumed, as it facilitates the use of control techniques such as linear quadratic regulation and model predictive control.

Model Predictive Control

Optimal Synthesis of LTI Koopman Models for Nonlinear Systems with Inputs

no code implementations15 Jun 2022 Lucian Cristian Iacob, Roland Tóth, Maarten Schoukens

In the lifted space, the dynamics are linear and represented by a so-called Koopman operator.

Continuous-time identification of dynamic state-space models by deep subspace encoding

1 code implementation20 Apr 2022 Gerben I. Beintema, Maarten Schoukens, Roland Tóth

Continuous-time (CT) modeling has proven to provide improved sample efficiency and interpretability in learning the dynamical behavior of physical systems compared to discrete-time (DT) models.

Deep-Learning-Based Identification of LPV Models for Nonlinear Systems

no code implementations8 Apr 2022 Chris Verhoek, Gerben I. Beintema, Sofie Haesaert, Maarten Schoukens, Roland Tó th

The Linear Parameter-Varying (LPV) framework provides a modeling and control design toolchain to address nonlinear (NL) system behavior via linear surrogate models.

Scheduling

Variational message passing for online polynomial NARMAX identification

1 code implementation2 Apr 2022 Wouter Kouw, Albert Podusenko, Magnus Koudahl, Maarten Schoukens

We propose a variational Bayesian inference procedure for online nonlinear system identification.

Bayesian Inference

Deep Identification of Nonlinear Systems in Koopman Form

no code implementations6 Oct 2021 Lucian Cristian Iacob, Gerben Izaak Beintema, Maarten Schoukens, Roland Tóth

The present paper treats the identification of nonlinear dynamical systems using Koopman-based deep state-space encoders.

Improved Initialization of State-Space Artificial Neural Networks

no code implementations26 Mar 2021 Maarten Schoukens

The identification of black-box nonlinear state-space models requires a flexible representation of the state and output equation.

Nonlinear state-space identification using deep encoder networks

1 code implementation14 Dec 2020 Gerben Beintema, Roland Toth, Maarten Schoukens

This paper introduces a method that approximates the simulation loss by splitting the data set into multiple independent sections similar to the multiple shooting method.

System identification of biophysical neuronal models

no code implementations14 Dec 2020 Thiago B. Burghi, Maarten Schoukens, Rodolphe Sepulchre

After sixty years of quantitative biophysical modeling of neurons, the identification of neuronal dynamics from input-output data remains a challenging problem, primarily due to the inherently nonlinear nature of excitable behaviors.

Non-linear State-space Model Identification from Video Data using Deep Encoders

2 code implementations14 Dec 2020 Gerben Izaak Beintema, Roland Toth, Maarten Schoukens

An encoder function, represented by a neural network, is introduced to learn a reconstructability map to estimate the model states from past inputs and outputs.

Autonomous Vehicles

Feedback Identification of conductance-based models

no code implementations22 Feb 2020 Thiago B. Burghi, Maarten Schoukens, Rodolphe Sepulchre

This paper applies the classical prediction error method (PEM) to the estimation of nonlinear discrete-time models of neuronal systems subject to input-additive noise.

A Tree Adjoining Grammar Representation for Models Of Stochastic Dynamical Systems

no code implementations15 Jan 2020 Dhruv Khandelwal, Maarten Schoukens, Roland Tóth

Model structure and complexity selection remains a challenging problem in system identification, especially for parametric non-linear models.

TAG

Data-driven Modelling of Dynamical Systems Using Tree Adjoining Grammar and Genetic Programming

no code implementations5 Apr 2019 Dhruv Khandelwal, Maarten Schoukens, Roland Tóth

Based on the results achieved for the case studies, we critically analyse the performance of the proposed method.

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