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In distributed and federated learning, heterogeneity across data sources remains a major obstacle to effective model aggregation and convergence. We focus on feature heterogeneity and introduce energy distance as a sensitive measure for…

Machine Learning · Statistics 2025-01-28 Mengchen Fan , Baocheng Geng , Roman Shterenberg , Joseph A. Casey , Zhong Chen , Keren Li

Recognizing symmetries in data allows for significant boosts in neural network training, which is especially important where training data are limited. In many cases, however, the exact underlying symmetry is present only in an idealized…

High Energy Physics - Phenomenology · Physics 2025-04-07 Seth Nabat , Aishik Ghosh , Edmund Witkowski , Gregor Kasieczka , Daniel Whiteson

We consider the problem of designing learning-based reactive power controllers that perform voltage regulation in distribution grids while ensuring closed-loop system stability. In contrast to existing methods, where the provably stable…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Zhenyi Yuan , Jie Feng , Yuanyuan Shi , Jorge Cortés

While it has been well known in the ML community that deep learning models suffer from instability, the consequences for healthcare deployments are under characterised. We study the stability of different model architectures trained on…

We propose a network architecture capable of reliably estimating uncertainty of regression based predictions without sacrificing accuracy. The current state-of-the-art uncertainty algorithms either fall short of achieving prediction…

Machine Learning · Computer Science 2022-02-22 Kinjal Patel , Steven Waslander

For a class of coupled limit cycle oscillators, we give a condition on a linear coupling operator that is necessary and sufficient for exponential stability of the synchronous solution. We show that with certain modifications our method of…

Adaptation and Self-Organizing Systems · Physics 2010-02-24 Georgi S. Medvedev

Time series forecasting remains a central challenge problem in almost all scientific disciplines. We introduce a novel load forecasting method in which observed dynamics are modeled as a forced linear system using Dynamic Mode Decomposition…

Physics and Society · Physics 2021-07-13 Daniel Dylewsky , David Barajas-Solano , Tong Ma , Alexandre M. Tartakovsky , J. Nathan Kutz

We consider a deep structured linear network under sparsity constraints. We study sharp conditions guaranteeing the stability of the optimal parameters defining the network. More precisely, we provide sharp conditions on the network…

Optimization and Control · Mathematics 2023-02-03 Francois Malgouyres

In this paper, we consider a stabilization problem of an uncertain system in a networked control setting. Due to the network, the measurements are quantized to finite-bit signals and may be randomly lost in the communication. We study…

Systems and Control · Computer Science 2017-03-07 Kunihisa Okano , Hideaki Ishii

Complex systems which can be represented in the form of static and dynamic graphs arise in different fields, e.g. communication, engineering and industry. One of the interesting problems in analysing dynamic network structures is to monitor…

Machine Learning · Computer Science 2020-11-13 Anna Malinovskaya , Philipp Otto , Torben Peters

The classic wireless communication channel modeling is performed using Deterministic and Stochastic channel methodologies. Machine learning (ML) emerges to revolutionize system design for 5G and beyond. ML techniques such as supervise…

Signal Processing · Electrical Eng. & Systems 2020-05-05 Saud Aldossari , Kwang-Cheng Chen

This paper addresses the problem of online learning in a dynamic setting. We consider a social network in which each individual observes a private signal about the underlying state of the world and communicates with her neighbors at each…

Optimization and Control · Mathematics 2013-10-02 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

The need to build a link between the structure of a complex network and the dynamical properties of the corresponding complex system (comprised of multiple low dimensional systems) has recently become apparent. Several attempts to tackle…

Chaotic Dynamics · Physics 2012-06-18 Michael Small , Kevin Judd , Thomas Stemler

The stability (or instability) of synchronization is important in a number of real world systems, including the power grid, the human brain and biological cells. For identical synchronization, the synchronizability of a network, which can…

Chaotic Dynamics · Physics 2018-04-17 Jeremie Fish , Jie Sun

In the semantic segmentation of street scenes with neural networks, the reliability of predictions is of highest interest. The assessment of neural networks by means of uncertainties is a common ansatz to prevent safety issues. As in…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Kira Maag , Matthias Rottmann , Hanno Gottschalk

Most machine learning models operate under the assumption that the training, testing and deployment data is independent and identically distributed (i.i.d.). This assumption doesn't generally hold true in a natural setting. Usually, the…

Machine Learning · Computer Science 2021-12-14 Kumud Lakara , Akshat Bhandari , Pratinav Seth , Ujjwal Verma

Approaches to keeping a dynamical system within state constraints typically rely on a model-based safety condition to limit the control signals. In the face of significant modeling uncertainty, the system can suffer from important…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Marc-Antoine Beaudoin , Benoit Boulet

Recent advances in power system State Estimation (SE) have included equivalent circuit models for representing measurement data that allows incorporation of both PMU and RTU measurements within the state estimator. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2018-12-13 Martin R. Wagner , Marko Jereminov , Larry Pileggi

Fast approximations of power flow results are beneficial in power system planning and live operation. In planning, millions of power flow calculations are necessary if multiple years, different control strategies or contingency policies are…

Machine Learning · Computer Science 2020-08-24 Florian Schaefer , Jan-Hendrik Menke , Martin Braun

Synchronization is essential for the operation of AC power systems: All generators in the power grid must rotate with fixed relative phases to enable a steady flow of electric power. Understanding the conditions for and the limitations of…

Systems and Control · Electrical Eng. & Systems 2024-11-06 Carsten Hartmann , Philipp C. Böttcher , David Gross , Dirk Witthaut