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This paper proposes a data-driven approach to design a feedforward Neural Network (NN) controller with a stability guarantee for plants with unknown dynamics. We first introduce data-driven representations of stability conditions for Neural…

Optimization and Control · Mathematics 2024-10-14 Zuxun Xiong , Han Wang , Liqun Zhao , Antonis Papachristodoulou

For linear systems, many data-driven control methods rely on the behavioral framework, using historical data of the system to predict the future trajectories. However, measurement noise introduces errors in predictions. When the noise is…

Optimization and Control · Mathematics 2023-08-29 Baiwei Guo , Yuning Jiang , Colin N. Jones , Giancarlo Ferrari-Trecate

Linear discriminant analysis (LDA) is a widely used technique for data classification. The method offers adequate performance in many classification problems, but it becomes inefficient when the data covariance matrix is ill-conditioned.…

Machine Learning · Statistics 2024-02-08 Maaz Mahadi , Tarig Ballal , Muhammad Moinuddin , Tareq Y. Al-Naffouri , Ubaid M. Al-Saggaf

The development of advanced software tools for power system analysis requires extensive programming expertise. Even when using open-source tools, programming skills are essential to modify built-in models. This can be particularly…

Software Engineering · Computer Science 2025-08-26 Izudin Dzafic , Rabih A. Jabr

In this paper, we extend our research concerning the standard and linearized monotonicity methods for the inverse problem of the time harmonic elastic wave equation and introduce the modification of these methods for noisy data. In more…

Numerical Analysis · Mathematics 2025-04-07 Sarah Eberle-Blick

Hollow-core fibers offer superior loss and latency characteristics compared to solid-core alternatives, yet the geometric complexity of nested antiresonance nodeless fibers (NANFs) makes traditional optimization computationally prohibitive.…

Machine Learning · Computer Science 2026-03-17 Rania A. Eltaieb , Sophie LaRochelle , Leslie A. Rusch

We propose data-driven nonlinear smoother (DNS) to estimate a hidden state sequence of a complex dynamical process from a noisy, linear measurement sequence. The dynamical process is model-free, that is, we do not have any knowledge of the…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Fredrik Cumlin , Anubhab Ghosh , Saikat Chatterjee

A permanently increasing number of on-board automotive control systems requires new approaches to their digital mapping that improves functionality in terms of adaptability and robustness as well as enables their easier on-line software…

Systems and Control · Electrical Eng. & Systems 2022-07-20 Moritz Zink , Martin Schiele , Valentin Ivanov

Missing data is a ubiquitous problem. It is especially challenging in medical settings because many streams of measurements are collected at different - and often irregular - times. Accurate estimation of those missing measurements is…

Machine Learning · Computer Science 2017-11-27 Jinsung Yoon , William R. Zame , Mihaela van der Schaar

Inspired by applications in optimal control of semilinear elliptic partial differential equations and physics-integrated imaging, differential equation constrained optimization problems with constituents that are only accessible through…

Optimization and Control · Mathematics 2020-08-26 Guozhi Dong , Michael Hintermueller , Kostas Papafitsoros

Modeling data using manifold values is a powerful concept with numerous advantages, particularly in addressing nonlinear phenomena. This approach captures the intrinsic geometric structure of the data, leading to more accurate descriptors…

Numerical Analysis · Mathematics 2025-07-08 Wael Mattar , Nir Sharon

In this paper, we present a data-driven distributed model predictive control (MPC) scheme to stabilise the origin of dynamically coupled discrete-time linear systems subject to decoupled input constraints. The local optimisation problems…

Systems and Control · Electrical Eng. & Systems 2023-08-14 Matthias Köhler , Julian Berberich , Matthias A. Müller , Frank Allgöwer

We present R-ANODE, a new method for data-driven, model-agnostic resonant anomaly detection that raises the bar for both performance and interpretability. The key to R-ANODE is to enhance the inductive bias of the anomaly detection task by…

High Energy Physics - Phenomenology · Physics 2023-12-20 Ranit Das , Gregor Kasieczka , David Shih

Noise is a major obstacle in current quantum computing, and Machine Learning for Quantum Error Mitigation (ML-QEM) promises to address this challenge, enhancing computational accuracy while reducing the sampling overheads of standard QEM…

Quantum Physics · Physics 2025-01-09 Xiao-Yue Xu , Xin Xue , Tianyu Chen , Chen Ding , Tian Li , Haoyi Zhou , He-Liang Huang , Wan-Su Bao

The paper aims at developing the Riemann-Hilbert (RH) approach for the modified Camassa-Holm (mCH) equation on the line with non-zero boundary conditions, in the case when the solution is assumed to approach two different constants at…

Analysis of PDEs · Mathematics 2022-10-11 Iryna Karpenko , Dmitry Shepelsky , Gerald Teschl

Data with underlying nonlinear structure are collected across numerous application domains, necessitating new data processing and analysis methods adapted to nonlinear domain structure. Riemannanian manifolds present a rich environment in…

Numerical Analysis · Mathematics 2025-02-24 Joyce Chew , Willem Diepeveen , Deanna Needell

Nanopore sequencing offers the ability for real-time analysis of long DNA sequences at a low cost, enabling new applications such as early detection of cancer. Due to the complex nature of nanopore measurements and the high cost of…

Quantitative Methods · Quantitative Biology 2024-06-27 Jonas Niederle , Simon Koop , Marc Pagès-Gallego , Vlado Menkovski

High-fidelity full-field micro-mechanical modeling of the non-linear path-dependent materials demands a substantial computational effort. Recent trends in the field incorporates data-driven Artificial Neural Networks (ANNs) as surrogate…

Materials Science · Physics 2023-11-27 Hon Lam Cheung , Petter Uvdal , Mohsen Mirkhalaf

We present a data-driven approach to construct entropy-based closures for the moment system from kinetic equations. The proposed closure learns the entropy function by fitting the map between the moments and the entropy of the moment…

Numerical Analysis · Mathematics 2021-06-17 William A. Porteous , M. Paul Laiu , Cory D. Hauck

Today's intelligent applications can achieve high performance accuracy using machine learning (ML) techniques, such as deep neural networks (DNNs). Traditionally, in a remote DNN inference problem, an edge device transmits raw data to a…

Machine Learning · Computer Science 2021-06-03 Mounssif Krouka , Anis Elgabli , Chaouki Ben Issaid , Mehdi Bennis
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