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The measurement of deep water gravity wave elevations using in-situ devices, such as wave gauges, typically yields spatially sparse data. This sparsity arises from the deployment of a limited number of gauges due to their installation…

With the growing demand for energy and increased environmental awareness, Non-Intrusive Load Monitoring (NILM) has become an essential tool in smart grid and energy management. By analyzing total power load data, NILM infers the energy…

Machine Learning · Computer Science 2024-10-22 DengYu Shi

We study parameter estimation in Nonlinear Factor Analysis (NFA) where the generative model is parameterized by a deep neural network. Recent work has focused on learning such models using inference (or recognition) networks; we identify a…

Machine Learning · Statistics 2017-10-18 Rahul G. Krishnan , Dawen Liang , Matthew Hoffman

Identification of nonlinear dynamical systems has been popularized by sparse identification of the nonlinear dynamics (SINDy) via the sequentially thresholded least squares (STLS) algorithm. Many extensions SINDy have emerged in the…

Machine Learning · Computer Science 2023-08-04 Shawn L. Kiser , Mikhail Guskov , Marc Rébillat , Nicolas Ranc

This dissertation investigates physics-informed neural networks (PINNs) as candidate models for encoding governing equations, and assesses their performance on experimental data from two different systems. The first system is a simple…

Machine Learning · Computer Science 2024-01-09 Hamza Alsharif

This study explores data-driven modeling techniques to capture the dynamics of a grid-forming converter-based infinite bus system, critical for renewable-integrated power grids. Using sparse identification of nonlinear dynamics and deep…

Systems and Control · Electrical Eng. & Systems 2025-10-13 Amir Bahador Javadi , Philip Pong

One way to understand time-series data is to identify the underlying dynamical system which generates it. This task can be done by selecting an appropriate model and a set of parameters which best fits the dynamics while providing the…

Optimization and Control · Mathematics 2018-05-17 Linan Zhang , Hayden Schaeffer

System identification under unknown external excitation is an inherently ill-posed problem, typically requiring additional knowledge or simplifying assumptions to enable reliable state and parameter estimation. The difficulty of the problem…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Antonina Kosikova , Apostolos Psaros , Andrew Smyth

Sparse Identification of Nonlinear Dynamics (SINDy) is a powerful method for discovering parsimonious governing equations from data, but it often requires expert tuning of candidate libraries. We propose an LLM-aided SINDy pipeline that…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Linyu Lin

This paper examines learning the optimal filtering policy, known as the Kalman gain, for a linear system with unknown noise covariance matrices using noisy output data. The learning problem is formulated as a stochastic policy optimization…

Systems and Control · Electrical Eng. & Systems 2023-10-27 Shahriar Talebi , Amirhossein Taghvaei , Mehran Mesbahi

Power flow (PF) calculations are fundamental to power system analysis to ensure stable and reliable grid operation. The Newton-Raphson (NR) method is commonly used for PF analysis due to its rapid convergence when initialized properly.…

A significant increase in renewable energy production is necessary to achieve the UN's net-zero emission targets for 2050. Using power-electronic controllers, such as Phase Locked Loops (PLLs), to keep grid-tied renewable resources in…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Rahul Nellikkath , Andreas Venzke , Mohammad Kazem Bakhshizadeh , Ilgiz Murzakhanov , Spyros Chatzivasileiadis

As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for…

Optimization and Control · Mathematics 2017-03-09 Mohammad Pirani , John W. Simpson-Porco , Baris Fidan

We present AC-SINDy, a compositional extension of the Sparse Identification of Nonlinear Dynamics (SINDy) framework that replaces explicit feature libraries with a structured representation based on arithmetic circuits. Rather than…

Machine Learning · Computer Science 2026-04-22 Peter Racioppo

Estimating the governing equation parameter values is essential for integrating experimental data with scientific theory to understand, validate, and predict the dynamics of complex systems. In this work, we propose a new method for…

Dynamical Systems · Mathematics 2025-06-27 Cristian López , Keegan J. Moore

Accurate estimation of power system dynamics is very important for the enhancement of power system reliability, resilience, security, and stability of power system. With the increasing integration of inverter-based distributed energy…

Systems and Control · Electrical Eng. & Systems 2020-12-14 Narayan Bhusal , Mukesh Gautam

Data-driven methods of model identification are able to discern governing dynamics of a system from data. Such methods are well suited to help us learn about systems with unpredictable evolution or systems with ambiguous governing dynamics…

Data Analysis, Statistics and Probability · Physics 2025-01-23 Gina Vasey , Daniel Messenger , David Bortz , Andrew Christlieb , Brian O'Shea

Data-driven methodologies are nowadays ubiquitous. Their rapid development and spread have led to applications even beyond the traditional fields of science. As far as dynamical systems and differential equations are concerned, neural…

Numerical Analysis · Mathematics 2025-12-05 Dimitri Breda , Xunbi A. Ji , Gábor Orosz , Muhammad Tanveer

Dynamic state estimation (DSE) is vital in modern power systems with numerous inverter-based distributed energy resources including solar and wind, ensuring real-time accuracy for tracking system variables and optimizing grid stability.…

Systems and Control · Electrical Eng. & Systems 2024-06-17 Elham Jamalinia , Zhongtian Zhang , Javad Khazaei , Rick S. Blum

We develop methods to efficiently reconstruct the topology and line parameters of a power grid from the measurement of nodal variables. We propose two compressed sensing algorithms that minimize the amount of necessary measurement resources…

Systems and Control · Computer Science 2019-07-10 Farnaz Basiri , Jose Casadiego , Marc Timme , Dirk Witthaut