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While the identification of nonlinear dynamical systems is a fundamental building block of model-based reinforcement learning and feedback control, its sample complexity is only understood for systems that either have discrete states and…

Machine Learning · Statistics 2020-06-19 Horia Mania , Michael I. Jordan , Benjamin Recht

This work considers methods for imposing sparsity in Bayesian regression with applications in nonlinear system identification. We first review automatic relevance determination (ARD) and analytically demonstrate the need to additional…

Machine Learning · Statistics 2021-02-24 Samuel H. Rudy , Themistoklis P. Sapsis

In this article, a novel fast randomized subspace system identification method for estimating combined deterministic-stochastic LTI state-space models, is proposed. The algorithm is especially well-suited to identify high-order and…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Vatsal Kedia , Debraj Chakraborty

Effect size measures and visualization techniques aimed at maximizing the interpretability and comparability of results from statistical models have long been of great importance and are recently again receiving increased attention in the…

Methodology · Statistics 2022-11-08 Hannah Kümpel , Sabine Hoffmann

Over-parameterized deep models usually over-fit to a given training distribution, which makes them sensitive to small changes and out-of-distribution samples at inference time, leading to low generalization performance. To this end, several…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Saeid Asgari Taghanaki , Kumar Abhishek , Ghassan Hamarneh

When a mathematical or computational model is used to analyse some system, it is usual that some parameters resp.\ functions or fields in the model are not known, and hence uncertain. These parametric quantities are then identified by…

Probability · Mathematics 2016-07-01 Hermann G. Matthies , Elmar Zander , Bojana Rosic , Alexander Litvinenko

This paper proposes a recursive interval-valued estimation framework for identifying the parameters of linearly parameterized systems which may be slowly time-varying. It is assumed that the model error (which may consist in measurement…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Laurent Bako , Seydi Ndiaye , Eric Blanco

Parametric models abstract part of the specification of dynamical models by integral parameters. They are for example used in computational systems biology, notably with parametric regulatory networks, which specify the global architecture…

Logic in Computer Science · Computer Science 2018-11-30 Stefan Haar , Juraj Kolčák , Loïc Paulevé

Parametric Bayesian modeling offers a powerful and flexible toolbox for machine learning. Yet the model, however detailed, may still be wrong, and this can make inferences untrustworthy. In this paper we introduce a new class of…

Methodology · Statistics 2026-04-03 Bohan Wu , Eli N. Weinstein , Sohrab Salehi , Yixin Wang , David M. Blei

Operator inference learns low-dimensional dynamical-system models with polynomial nonlinear terms from trajectories of high-dimensional physical systems (non-intrusive model reduction). This work focuses on the large class of physical…

Numerical Analysis · Mathematics 2021-07-07 Nihar Sawant , Boris Kramer , Benjamin Peherstorfer

In this document, some general results in approximation theory and matrix analysis with applications to sparse identification of time series models and nonlinear discrete-time dynamical systems are presented. The aforementioned theoretical…

Numerical Analysis · Mathematics 2021-08-04 Fredy Vides

The classical sparse parameter identification methods are usually based on the iterative basis selection such as greedy algorithms, or the numerical optimization of regularized cost functions such as LASSO and Bayesian posterior probability…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Yanxin Fu , Wenxiao Zhao

Meta learning aims at learning how to solve tasks, and thus it allows to estimate models that can be quickly adapted to new scenarios. This work explores distributionally robust minimization in meta learning for system identification.…

Machine Learning · Computer Science 2025-06-24 Matteo Rufolo , Dario Piga , Marco Forgione

A central characteristic of Bayesian statistics is the ability to consistently incorporate prior knowledge into various modeling processes. In this paper, we focus on translating domain expert knowledge into corresponding prior…

Methodology · Statistics 2024-04-16 Florence Bockting , Stefan T. Radev , Paul-Christian Bürkner

A general input-output modelling technique for aperiodic-sampling linear systems has been developed. The procedure describes the dynamics of the system and includes the sequence of sampling periods among the variables to be handled. Some…

Discrete Mathematics · Computer Science 2016-08-14 Amparo Fúster-Sabater , J. M. Guillén

This work is concerned with uncertainty quantification in reduced-order dynamical system identification. Reduced-order models for system dynamics are ubiquitous in design and control applications and recent efforts focus on their…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Prem Ratan Mohan Ram , Ulrich Römer , Richard Semaan

We study the regularization problem for port-Hamiltonian descriptor systems by proportional and/or derivative output feedback. Necessary and sufficient conditions are given, which guarantee that there exist output feedbacks such that the…

Optimization and Control · Mathematics 2025-12-02 Delin Chu , Volker Mehrmann

The concept of random dynamical system is a comparatively recent development combining ideas and methods from the well developed areas of probability theory and dynamical systems. Due to our inaccurate knowledge of the particular physical…

Dynamical Systems · Mathematics 2007-05-23 Vitor Araujo

This paper presents a fully distributed resource discovery and reservation system. Verification of such a system is important to ensure the execution of distributed applications on a set of resources in appropriate conditions. A semi-formal…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-03 Camille Coti

In this work we consider the task of relaxing the i.i.d assumption in pattern recognition (or classification), aiming to make existing learning algorithms applicable to a wider range of tasks. Pattern recognition is guessing a discrete…

Machine Learning · Computer Science 2012-02-28 Daniil Ryabko