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This paper discusses a novel initialization algorithm for the estimation of nonlinear state-space models. Good initial values for the model parameters are obtained by identifying separately the linear dynamics and the nonlinear terms in the…

Systems and Control · Computer Science 2018-04-25 A. Marconato , J. Sjöberg , J. A. K. Suykens , J. Schoukens

Parameter estimation of nonlinear state-space models from input-output data typically requires solving a highly non-convex optimization problem prone to slow convergence and suboptimal solutions. This work improves the reliability and…

Signal Processing · Electrical Eng. & Systems 2026-02-27 Merijn Floren , Jan Swevers

In recent years, several algorithms for system identification with neural state-space models have been introduced. Most of the proposed approaches are aimed at reducing the computational complexity of the learning problem, by splitting the…

Machine Learning · Computer Science 2022-06-28 Marco Forgione , Manas Mejari , Dario Piga

Estimating the parameters of nonlinear block-oriented state-space models from input-output data typically involves solving a highly non-convex optimization problem, which is prone to poor local minima and slow convergence. This paper…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Merijn Floren , Jean-Philippe Noël , Jan Swevers

This paper is concerned with black-box identification of nonlinear state space models. By using a basis function expansion within the state space model, we obtain a flexible structure. The model is identified using an expectation…

Computation · Statistics 2016-11-17 Andreas Svensson , Thomas B. Schön , Arno Solin , Simo Särkkä

The SUBNET neural network architecture has been developed to identify nonlinear state-space models from input-output data. To achieve this, it combines the rolled-out nonlinear state-space equations and a state encoder function, both…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Rishi Ramkannan , Gerben I. Beintema , Roland Tóth , Maarten Schoukens

A new framework for nonlinear system identification is presented in terms of optimal fitting of stable nonlinear state space equations to input/output/state data, with a performance objective defined as a measure of robustness of the…

Optimization and Control · Mathematics 2016-11-17 Mark M. Tobenkin , Ian R. Manchester , Jennifer Wang , Alexandre Megretski , Russ Tedrake

In recent years significant progress has been made in successfully training recurrent neural networks (RNNs) on sequence learning problems involving long range temporal dependencies. The progress has been made on three fronts: (a)…

Neural and Evolutionary Computing · Computer Science 2016-06-24 Sachin S. Talathi , Aniket Vartak

A new initialization method for hidden parameters in a neural network is proposed. Derived from the integral representation of the neural network, a nonparametric probability distribution of hidden parameters is introduced. In this…

Machine Learning · Computer Science 2014-02-20 Sho Sonoda , Noboru Murata

Weight initialization plays an important role in training neural networks and also affects tremendous deep learning applications. Various weight initialization strategies have already been developed for different activation functions with…

Machine Learning · Computer Science 2022-08-09 Qipin Chen , Wenrui Hao , Juncai He

Nonlinear system identification (NL-SI) has proven to be effective in obtaining accurate models for highly complex systems. Recent encoder-based methods for artificial neural network state-space (ANN-SS) models have shown state-of-the-art…

Systems and Control · Electrical Eng. & Systems 2026-02-16 J. H. Hoekstra , B. Györök , R. Töth , M. Schoukens

In this paper, a new method was developed for initialising artificial neural networks predicting dynamics of time series. Initial weighting coefficients were determined for neurons analogously to the case of a linear prediction filter.…

Neural and Evolutionary Computing · Computer Science 2014-10-24 Vladimir V. Bochkarev , Yulia S. Maslennikova

The identification of states and parameters from noisy measurements of a dynamical system is of great practical significance and has received a lot of attention. Classically, this problem is expressed as optimization over a class of models.…

Nonlinear state-space identification for dynamical systems is most often performed by minimizing the simulation error to reduce the effect of model errors. This optimization problem becomes computationally expensive for large datasets.…

Machine Learning · Computer Science 2021-04-29 Gerben Beintema , Roland Toth , Maarten Schoukens

Balancing the model complexity and the representation capability towards the process to be captured remains one of the main challenges in nonlinear system identification. One possibility to reduce model complexity is to impose structure on…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Maarten Schoukens , Roland Toth

Neural networks require careful weight initialization to prevent signals from exploding or vanishing. Existing initialization schemes solve this problem in specific cases by assuming that the network has a certain activation function or…

Machine Learning · Computer Science 2022-12-01 Garrett Bingham , Risto Miikkulainen

Good weight initialisation is an important step in successful training of Artificial Neural Networks. Over time a number of improvements have been proposed to this process. In this paper we introduce a novel weight initialisation technique…

Machine Learning · Computer Science 2023-11-20 Marcel Marais , Mate Hartstein , George Cevora

The growing interest in satellite imagery has triggered the need for efficient mechanisms to extract valuable information from these vast data sources, providing deeper insights. Even though deep learning has shown significant progress in…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Wadii Boulila , Eman Alshanqiti , Ayyub Alzahem , Anis Koubaa , Nabil Mlaiki

Artificial neural networks are a promising technique for virtual analog modeling, having shown particular success in emulating distortion circuits. Despite their potential, enhancements are needed to enable effect parameters to influence…

Sound · Computer Science 2025-08-07 Riccardo Simionato , Stefano Fasciani

Physics-guided neural networks (PGNN) is an effective tool that combines the benefits of data-driven modeling with the interpretability and generalization of underlying physical information. However, for a classical PGNN, the penalization…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Yuhan Liu , Roland Tóth , Maarten Schoukens
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