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We propose to use deep learning to estimate parameters in statistical models when standard likelihood estimation methods are computationally infeasible. We show how to estimate parameters from max-stable processes, where inference is…

Methodology · Statistics 2021-08-02 Amanda Lenzi , Julie Bessac , Johann Rudi , Michael L. Stein

The widespread use of neural networks across different scientific domains often involves constraining them to satisfy certain symmetries, conservation laws, or other domain knowledge. Such constraints are often imposed as soft penalties…

Machine Learning · Computer Science 2020-01-15 Sifan Wang , Yujun Teng , Paris Perdikaris

Data assimilation is a central problem in many geophysical applications, such as weather forecasting. It aims to estimate the state of a potentially large system, such as the atmosphere, from sparse observations, supplemented by prior…

Machine Learning · Computer Science 2024-06-24 Matthieu Blanke , Ronan Fablet , Marc Lelarge

Estimating the structure of physical flow networks such as power grids is critical to secure delivery of energy. This paper discusses statistical structure estimation in power grids in the "under-excited" regime, where a subset of internal…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Deepjyoti Deka , Harish Doddi , Sidhant Misra , Murti Salapaka

To provide real-time visibility of physics-based states, phasor measurement units (PMUs) are deployed throughout power networks. PMU data enable real-time grid monitoring and control -- and are essential in transitioning to smarter grids.…

Systems and Control · Electrical Eng. & Systems 2024-10-23 Mohamad H. Kazma , Ahmad F. Taha

This paper studies a distributed state estimation problem for both continuous- and discrete-time linear systems. A simply structured distributed estimator (comprising interconnected local estimators) is first described for estimating the…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Lili Wang , Ji Liu , Brian B. O. Anderson , A. Stephen Morse

Part I of this paper discusses the problem of learning the operational structure of the grid from nodal voltage measurements. In this work (Part II), the learning of the operational radial structure is coupled with the problem of estimating…

Optimization and Control · Mathematics 2015-03-02 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Power demand forecasting is a critical task for achieving efficiency and reliability in power grid operation. Accurate forecasting allows grid operators to better maintain the balance of supply and demand as well as to optimize operational…

Other Computer Science · Computer Science 2019-04-30 Yao Cheng , Chang Xu , Daisuke Mashima , Vrizlynn L. L. Thing , Yongdong Wu

Learning-based methods commonly treat state estimation in robotics as a sequence modeling problem. While this paradigm can be effective at maximizing end-to-end performance, models are often difficult to interpret and expensive to train,…

Robotics · Computer Science 2026-05-07 Lennart Röstel , Berthold Bäuml

We propose an approach based on neural networks and the AC power flow equations to identify single- and double-line outages in a power grid using the information from phasor measurement unit sensors (PMUs) placed on only a subset of the…

Computational Engineering, Finance, and Science · Computer Science 2018-03-28 Ching-pei Lee , Stephen J. Wright

Fault detection in power distribution grids is critical for ensuring system reliability and preventing costly outages. Moreover, fault detection methodologies should remain robust to evolving grid topologies caused by factors such as…

Machine Learning · Computer Science 2025-10-07 Burak Karabulut , Carlo Manna , Chris Develder

We propose and investigate new complementary methodologies for estimating predictive variance networks in regression neural networks. We derive a locally aware mini-batching scheme that result in sparse robust gradients, and show how to…

Machine Learning · Statistics 2019-11-05 Nicki S. Detlefsen , Martin Jørgensen , Søren Hauberg

This paper introduces a two-level robust approach to estimate the unknown states of a large-scale power system while the measurements and network parameters are subjected to uncertainties. The bounded data uncertainty (BDU) considered in…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Shiva Moshtagh , Mehdi Rahmani

A computer model of the feed-forward neural network with the hidden layer is developed to reconstruct physical field investigated by the fiber-optic measuring system. The Gaussian distributions of some physical quantity are selected as…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. V. Panov

Tensor networks have recently found applications in machine learning for both supervised learning and unsupervised learning. The most common approaches for training these models are gradient descent methods. In this work, we consider an…

Machine Learning · Computer Science 2023-06-27 Sheng-Hsuan Lin , Olivier Kuijpers , Sebastian Peterhansl , Frank Pollmann

We examine the problem of learning mappings from state to state, suitable for use in a model-based reinforcement-learning setting, that simultaneously generalize to novel states and can capture stochastic transitions. We show that currently…

Machine Learning · Computer Science 2017-10-27 Yuhang Song , Christopher Grimm , Xianming Wang , Michael L. Littman

Deep learning models frequently make incorrect predictions with high confidence when presented with test examples that are not well represented in their training dataset. We propose a novel and straightforward approach to estimate…

Machine Learning · Computer Science 2019-10-04 Tiago Ramalho , Miguel Miranda

In this work, we propose a non-parametric probabilistic load flow (NP-PLF) technique based on the Gaussian Process (GP) learning to understand the power system behavior under uncertainty for better operational decisions. The technique can…

Systems and Control · Electrical Eng. & Systems 2020-03-19 Parikshit Pareek , Chuan Wang , Hung D. Nguyen

Accurate short-term state forecasting is essential for efficient and stable operation of modern power systems, especially in the context of increasing variability introduced by renewable and distributed energy resources. As these systems…

Machine Learning · Computer Science 2026-05-13 Raffael Theiler , Olga Fink

Machine learning-based models to predict product state distributions from a distribution of reactant conditions for atom-diatom collisions are presented and quantitatively tested. The models are based on function-, kernel- and grid-based…

Chemical Physics · Physics 2020-11-06 Julian Arnold , Debasish Koner , Silvan Käser , Narendra Singh , Raymond J. Bemish , Markus Meuwly