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In this article, we propose a data-driven reduced basis (RB) method for the approximation of parametric eigenvalue problems. The method is based on the offline and online paradigms. In the offline stage, we generate snapshots and construct…

Numerical Analysis · Mathematics 2023-01-24 Fleurianne Bertrand , Daniele Boffi , Abdul Halim

We consider the problem of optimal sparse output feedback controller synthesis for continuous linear time invariant systems when the feedback gain is static and subject to specified structural constraints. Introducing an additional term…

Optimization and Control · Mathematics 2015-06-23 Reza Arastoo , Nader Motee , Mayuresh V. Kothare

We consider the analytical control design for a pair of switched linear multiple-input multiple-output (MIMO) systems that are subject to arbitrary switching signals. A state feedback controller design method is proposed to obtain an…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Kai Wulff , Maria Christine Honecker , Robert Schmid , Johann Reger

In this paper, the stabilized finite element approximation of the Stokes eigenvalue problems is considered for both the two-field (displacement-pressure) and the three-field (stress-displacement-pressure) formulations. The method presented…

Numerical Analysis · Mathematics 2016-09-21 Önder Türk , Daniele Boffi , Ramon Codina

Motivated by distributed machine learning settings such as Federated Learning, we consider the problem of fitting a statistical model across a distributed collection of heterogeneous data sets whose similarity structure is encoded by a…

Statistics Theory · Mathematics 2021-11-30 Dominic Richards , Sahand N. Negahban , Patrick Rebeschini

We present an application of equation-free computation to the coarse-grained feedback linearization problem of nonlinear systems described by microscopic/stochastic simulators. Feedback linearization with pole placement requires the…

Cellular Automata and Lattice Gases · Physics 2007-05-23 C. I. Siettos , I. G. Kevrekidis , N. Kazantzis

The data-driven models allow one to define the model structure in cases when a priori information is not sufficient to build other types of models. The possible way to obtain physical interpretation is the data-driven differential equation…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Michail Maslyaev , Alexander Hvatov , Anna Kalyuzhnaya

The design of direct data-based controllers has become a fundamental part of control theory research in the last few years. In this paper, we consider three classes of data-based state feedback control problems for linear systems. These…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Victor G. Lopez , Matthias A. Müller

This paper presents a new Python software for the parametric design of stabilizing feedback laws with time delays, called Partial Pole Placement via Delay Action (P3$\delta$). After an introduction recalling recent theoretical results on…

Optimization and Control · Mathematics 2020-12-03 Islam Boussaada , Guilherme Mazanti , Silviu-Iulian Niculescu , Julien Huynh , Franck Sim , Matthieu Thomas

This work recasts time-dependent optimal control problems governed by partial differential equations in a Dynamic Mode Decomposition with control framework. Indeed, since the numerical solution of such problems requires a lot of…

Optimization and Control · Mathematics 2022-03-25 Eleonora Donadini , Maria Strazzullo , Marco Tezzele , Gianluigi Rozza

In this paper we introduce an algorithm based on a sparse grid adaptive refinement, for the approximation of the eigensolutions to parametric problems arising from elliptic partial differential equations. In particular, we are interested in…

Numerical Analysis · Mathematics 2022-10-20 Moataz M. Alghamdi , Daniele Boffi , Francesca Bonizzoni

Subspace clustering is the classical problem of clustering a collection of data samples that approximately lie around several low-dimensional subspaces. The current state-of-the-art approaches for this problem are based on the…

Machine Learning · Computer Science 2023-01-26 Maryam Abdolali , Nicolas Gillis

For linear time-invariant systems, input-state data collected during an open-loop experiment can remedy the lack of knowledge of system parameters. However, such data do not contain information about other system uncertainties such as…

Optimization and Control · Mathematics 2025-10-02 Yongzhang Li , Amir Shakouri , M. Kanat Camlibel

Current data-driven predictive control (DDPC) methods heavily rely on data collected in open-loop operation with elaborate design of inputs. However, due to safety or economic concerns, systems may have to be under feedback control, where…

Optimization and Control · Mathematics 2024-02-21 Yibo Wang , Yiwen Qiu , Malika Sader , Dexian Huang , Chao Shang

This paper proposes a novel method for solving one-class classification problems. The proposed approach, namely Subspace Support Vector Data Description, maps the data to a subspace that is optimized for one-class classification. In that…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Fahad Sohrab , Jenni Raitoharju , Moncef Gabbouj , Alexandros Iosifidis

Sparsity in the eigenvectors of signal covariance matrices is exploited in this paper for compression and denoising. Dimensionality reduction (DR) and quantization modules present in many practical compression schemes such as transform…

Applications · Statistics 2015-06-03 Ioannis D. Schizas , Georgios B. Giannakis

Many real-world problems are usually computationally costly and the objective functions evolve over time. Data-driven, a.k.a. surrogate-assisted, evolutionary optimization has been recognized as an effective approach for tackling expensive…

Neural and Evolutionary Computing · Computer Science 2022-11-08 Ke Li , Renzhi Chen , Xin Yao

This paper presents a control-oriented delay-based modeling approach for the exponential stabilization of a scalar neutral functional differential equation, which is then applied to the local exponential stabilization of a one-layer neural…

Spectral Theory · Mathematics 2025-02-04 Cyprien Tamekue , Islam Boussaada , Karim Trabelsi

In this study, the problem of computing a sparse representation of multi-dimensional visual data is considered. In general, such data e.g., hyperspectral images, color images or video data consists of signals that exhibit strong local…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Alexandros Gkillas , Dimitris Ampeliotis , Kostas Berberidis

Recent advances in deep neural networks (DNNs) owe their success to training algorithms that use backpropagation and gradient-descent. Backpropagation, while highly effective on von Neumann architectures, becomes inefficient when scaling to…

Neural and Evolutionary Computing · Computer Science 2019-05-10 Brian Crafton , Abhinav Parihar , Evan Gebhardt , Arijit Raychowdhury