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We present a Bayesian formulation of weighted stochastic block models that can be used to infer the large-scale modular structure of weighted networks, including their hierarchical organization. Our method is nonparametric, and thus does…

Machine Learning · Statistics 2018-01-24 Tiago P. Peixoto

We use Koopman theory to develop a data-driven nonlinear model reduction and identification strategy for multiple-input multiple-output (MIMO) input-affine dynamical systems. While the present literature has focused on linear and bilinear…

Optimization and Control · Mathematics 2022-04-05 Jan C. Schulze , Danimir T. Doncevic , Alexander Mitsos

Identifying control-friendly models of nonlinear systems remains one of the major challenges at the intersection of system identification and control. The Linear Parameter-Varying (LPV) framework offers a promising solution, but existing…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Roel Drenth , Jan H. Hoekstra , Maarten Schoukens , Roland Tóth

High-dimensional nonlinear systems pose considerable challenges for modeling and control across many domains, from fluid mechanics to advanced robotics. Such systems are typically approximated with reduced-order models, which often rely on…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Hugo Buurmeijer , Luis A. Pabon , John Irvin Alora , Roshan S. Kaundinya , George Haller , Marco Pavone

This paper addresses problems on the structural design of control systems taking explicitly into consideration the possible application to large-scale systems. We provide an efficient and unified framework to solve the following major…

Optimization and Control · Mathematics 2014-09-23 Sergio Pequito , Soummya Kar , A. Pedro Aguiar

A key topic in network science is the detection of intermediate or meso-scale structures. Community, core-periphery, disassortative and other partitions allow us to understand the organisation and function of large networks. In this work we…

Social and Information Networks · Computer Science 2024-07-16 Rudy Arthur

Co-clustering is a data mining technique used to extract the underlying block structure between the rows and columns of a data matrix. Many approaches have been studied and have shown their capacity to extract such structures in continuous,…

Machine Learning · Computer Science 2022-12-23 Aichetou Bouchareb , Marc Boullé , Fabrice Clérot , Fabrice Rossi

Codes considered as structures within unit schemes greatly extends the availability of linear block and convolutional codes and allows the construction of these codes to required length, rate, distance and type. Properties of a code emanate…

Information Theory · Computer Science 2025-11-18 Ted Hurley

In this work, the problem of designing observers for estimating a single nonlinear functional of the state is formulated for general nonlinear systems. Notions of functional observer linearization are also formulated, in terms achieving…

Systems and Control · Electrical Eng. & Systems 2021-09-15 Costas Kravaris , Sunjeev Venkateswaran

This chapter provides a self-contained introduction to the use of Bayesian inference to extract large-scale modular structures from network data, based on the stochastic blockmodel (SBM), as well as its degree-corrected and overlapping…

Machine Learning · Statistics 2023-03-23 Tiago P. Peixoto

We study the problem of identifying macroscopic structures in networks, characterizing the impact of introducing link directions on the detectability phase transition. To this end, building on the stochastic block model, we construct a…

Physics and Society · Physics 2019-05-01 Mateusz Wilinski , Piero Mazzarisi , Daniele Tantari , Fabrizio Lillo

This paper derives new results for the analysis of nonlinear systems by extending contraction theory in the framework of vector distances. A new tool, vector contraction analysis utilizing a notion of the vector-valued norm which evidently…

Optimization and Control · Mathematics 2019-03-18 Bhawana Singh , Debdas Ghosh , Shyam Kamal , Sandip Ghosh , Antonella Ferrara

Modelling of inspection data for large scale physical systems is critical to assessment of their integrity. We present a general method for inference about system state and associated model variance structure from spatially distributed time…

Methodology · Statistics 2013-02-26 David Randell , Michael Goldstein , Philip Jonathan

Dynamical systems with quadratic or polynomial drift exhibit complex dynamics, yet compared to nonlinear systems in general form, are often easier to analyze, simulate, control, and learn. Results going back over a century have shown that…

Symbolic Computation · Computer Science 2025-02-17 Boris Kramer , Gleb Pogudin

High-order ARX models can be used to approximate a quite general class of linear systems in a parametric model structure, and well-established methods can then be used to retrieve the true plant and noise models from the ARX polynomials.…

Systems and Control · Computer Science 2016-09-16 Miguel Galrinho , Niklas Everitt , Håkan Hjalmarsson

In this paper, a new nonlinear identification framework is proposed to address the issue of off-line computation of moving-horizon observer estimate. The proposed structure merges the advantages of nonlinear approximators with the efficient…

Systems and Control · Computer Science 2016-11-17 Mazen Alamir

Regression models are used in a wide range of applications providing a powerful scientific tool for researchers from different fields. Linear, or simple parametric, models are often not sufficient to describe complex relationships between…

Machine Learning · Statistics 2021-11-24 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

This paper presents a data structure that summarizes distances between configurations across a robot configuration space, using a binary space partition whose cells contain parameters used for a locally linear approximation of the distance…

Robotics · Computer Science 2020-03-02 Josiah Putman , Lisa Oh , Luyang Zhao , Evan Honnold , Galen Brown , Weifu Wang , Devin Balkcom

This paper concerns identification of uncontrolled or closed loop nonlinear systems using a set of trajectories that are generated by the system in a domain of attraction. The objective is to ensure that the trajectories of the identified…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Moad Abudia , Joel A. Rosenfeld , Rushikesh Kamalapurkar

This letter proposes a fast identification algorithm for Wiener-Hammerstein systems. The computational cost of separating the front and the back linear time invariant block dynamics is significantly improved by using discrete optimization.…

Systems and Control · Computer Science 2018-04-20 M. Schoukens , G. Vandersteen , Y. Rolain , F. Ferranti