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Physics-informed neural networks (PINNs) constitute a flexible approach to both finding solutions and identifying parameters of partial differential equations. Most works on the topic assume noiseless data, or data contaminated with weak…

Machine Learning · Statistics 2024-06-21 Philipp Pilar , Niklas Wahlström

The integration of renewables into electrical grids calls for optimization-based control schemes requiring reliable grid models. Classically, parameter estimation and optimization-based control is often decoupled, which leads to high system…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Xu Du , Alexander Engelmann , Timm Faulwasser , Boris Houska

Efficient operation of distribution grids in the smart-grid era is hindered by the limited presence of real-time nodal and line meters. In particular, this prevents the easy estimation of grid topology and associated line parameters that…

Systems and Control · Computer Science 2020-03-03 Sejun Park , Deepjyoti Deka , Scott Backhaus , Michael Chertkov

We propose a probabilistic model discovery method for identifying ordinary differential equations (ODEs) governing the dynamics of observed multivariate data. Our method is based on the sparse identification of nonlinear dynamics (SINDy)…

Dynamical Systems · Mathematics 2021-07-06 Seth M. Hirsh , David A. Barajas-Solano , J. Nathan Kutz

Decision formation in perceptual decision-making involves sensory evidence accumulation instantiated by the temporal integration of an internal decision variable towards some decision criterion or threshold, as described by sequential…

Neurons and Cognition · Quantitative Biology 2024-10-15 Brendan Lenfesty , Saugat Bhattacharyya , KongFatt Wong-Lin

This work proposes an iterative sparse-regularized regression method to recover governing equations of nonlinear dynamical systems from noisy state measurements. The method is inspired by the Sparse Identification of Nonlinear Dynamics…

Machine Learning · Statistics 2021-02-24 Alexandre Cortiella , Kwang-Chun Park , Alireza Doostan

With the advancement of sensing and communication in power networks, high-frequency real-time data from a power network can be used as a resource to develop better monitoring capabilities. In this work, a systematic approach based on…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

System-level condition monitoring methods estimate the electrical parameters of multiple components in a converter to assess their health status. The estimation accuracy and variation can differ significantly across parameters. For…

Signal Processing · Electrical Eng. & Systems 2025-04-30 Shuyu Ou , Subham Sahoo , Ariya Sangwongwanich , Frede Blaabjerg , Mahyar Hassanifar , Martin Votava , Marius Langwasser , Marco Liserre

Recent advances in the field of data-driven dynamics allow for the discovery of ODE systems using state measurements. One approach, known as Sparse Identification of Nonlinear Dynamics (SINDy), assumes the dynamics are sparse within a…

Dynamical Systems · Mathematics 2023-06-14 Jacqueline Wentz , Alireza Doostan

Electrical submersible pumps (ESPs) are prevalently utilized as artificial lift systems in the oil and gas industry. These pumps frequently encounter multiphase flows comprising a complex mixture of hydrocarbons, water, and sediments. Such…

Machine Learning · Computer Science 2024-10-03 Felipe de Castro Teixeira Carvalho , Kamaljyoti Nath , Alberto Luiz Serpa , George Em Karniadakis

Physics-Informed Neural Networks (PINNs) present a transformative approach for smart grid modeling by integrating physical laws directly into learning frameworks, addressing critical challenges of data scarcity and physical consistency in…

Machine Learning · Computer Science 2025-09-01 Julen Cestero , Carmine Delle Femine , Kenji S. Muro , Marco Quartulli , Marcello Restelli

This paper proposes a gradient descent based optimization method that relies on automatic differentiation for the computation of gradients. The method uses tools and techniques originally developed in the field of artificial neural networks…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Georg Kordowich , Johann Jaeger

Today's power generation and distribution networks are quickly moving toward automated control and integration of renewable resources - a complex, integrated system termed the Smart Grid. A key component in planning and managing of Smart…

Signal Processing · Electrical Eng. & Systems 2020-01-01 Shervin Mehryar , Moe Z. Win

The increased integration of intermittent and decentralised forms of power production has eroded the stability margins of power grids and made it more challenging to ensure reliable and secure power transmission. Reliable grid operation…

Optimization and Control · Mathematics 2023-01-27 John M. Moloney , Sam J. Williamson , Cameron L. Hall

The identification of material parameters occurring in constitutive models has a wide range of applications in practice. One of these applications is the monitoring and assessment of the actual condition of infrastructure buildings, as the…

Machine Learning · Computer Science 2023-06-14 David Anton , Henning Wessels

Structural monitoring for complex built environments often suffers from mismatch between design, laboratory testing, and actual built parameters. Additionally, real-world structural identification problems encounter many challenges. For…

Machine Learning · Computer Science 2022-08-29 Xuyang Li , Hamed Bolandi , Talal Salem , Nizar Lajnef , Vishnu Naresh Boddeti

The expected decrease in system inertia and frequency stability motivates the development and maintenance of dynamic system models by Transmission System Operators. However, some dynamic model parameters can be unavailable due to market…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Dawn Virginillo , Asja Derviškadić , Mario Paolone

Big data has become a critically enabling component of emerging mathematical methods aimed at the automated discovery of dynamical systems, where first principles modeling may be intractable. However, in many engineering systems, abrupt…

Data Analysis, Statistics and Probability · Physics 2018-08-01 Markus Quade , Markus Abel , J. Nathan Kutz , Steven L. Brunton

Identifying the governing equations of a dynamical system is one of the most important tasks for scientific modeling. However, this procedure often requires high-quality spatio-temporal data uniformly sampled on structured grids. In this…

Machine Learning · Computer Science 2025-05-23 Mars Liyao Gao , J. Nathan Kutz , Bernat Font

The recent focus on the efficiency of deep neural networks (DNNs) has led to significant work on model compression approaches, of which weight pruning is one of the most popular. At the same time, there is rapidly-growing computational…

Machine Learning · Computer Science 2022-08-25 Elias Frantar , Dan Alistarh
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