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Segmenting curvilinear structures in medical images is essential for analyzing morphological patterns in clinical applications. Integrating topological properties, such as connectivity, improves segmentation accuracy and consistency.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Zhuangzhi Gao , Feixiang Zhou , He Zhao , Xiuju Chen , Xiaoxin Li , Qinkai Yu , Yitian Zhao , Alena Shantsila , Gregory Y. H. Lip , Eduard Shantsila , Yalin Zheng

The topology transition problem of transmission networks is becoming increasingly crucial with topological flexibility more widely leveraged to promote high renewable penetration. This paper proposes a novel methodology to address this…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Tong Han , Yue Song , David J. Hill

Distribution grids represent the final tier in electric networks consisting of medium and low voltage lines that connect the distribution substations to the end-users. Traditionally, distribution networks have been operated in a radial…

Optimization and Control · Mathematics 2016-03-03 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

This paper considers the problem of Phase Identification in power distribution systems. In particular, it focuses on improving supervised learning accuracies by focusing on exploiting some of the problem's information theoretic properties.…

Machine Learning · Computer Science 2019-11-06 Brandon Foggo , Nanpeng Yu

The increasing integration of distributed energy resources (DERs) calls for new planning and operational tools. However, such tools depend on system topology and line parameters, which may be missing or inaccurate in distribution grids.…

Systems and Control · Computer Science 2017-05-25 Jiafan Yu , Yang Weng , Ram Rajagopal

Modern business and economic datasets often exhibit nonlinear, multi-scale structures that traditional linear tools under-represent. Topological Data Analysis (TDA) offers a geometric lens for uncovering robust patterns, such as connected…

Machine Learning · Statistics 2025-11-18 Ioannis Diamantis

Topological data analysis is a powerful tool for describing topological signatures in real world data. An important challenge in topological data analysis is matching significant topological signals across distinct systems. In geometry and…

Algebraic Topology · Mathematics 2025-02-19 Stephen Y Zhang , Michael P H Stumpf , Tom Needham , Agnese Barbensi

This paper analyzes impacts and interactions of harmonics from multiple sources, especially distributed energy resources, on distribution networks. We propose a new index, the Phasor Harmonic Index (PHI), that considers both harmonic source…

Optimization and Control · Mathematics 2014-07-29 Reza Arghandeh , Alexandra von Meier , Robert Broadwater

Revealing the structural features of a complex system from the observed collective dynamics is a fundamental problem in network science. In order to compute the various topological descriptors commonly used to characterize the structure of…

Data Analysis, Statistics and Probability · Physics 2021-02-16 Sebastian Raimondo , Manlio De Domenico

Functional brain networks exhibit topological structures that reflect neural organization; however, statistical comparison of these networks is challenging for several reasons. This paper introduces a topologically invariant permutation…

Neurons and Cognition · Quantitative Biology 2025-12-30 Sixtus Dakurah

Accurate topology information is critical for effective operation of power distribution networks. Line outages change the operational topology of a distribution network. Hence, outage detection is an important task. Power distribution…

Systems and Control · Computer Science 2019-02-19 Ananth Narayan Samudrala , M. Hadi Amini , Soummya Kar , Rick S. Blum

Besides per-pixel accuracy, topological correctness is also crucial for the segmentation of images with fine-scale structures, e.g., satellite images and biomedical images. In this paper, by leveraging the theory of digital topology, we…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Xiaoling Hu

In this article, a novel fast randomized subspace system identification method for estimating combined deterministic-stochastic LTI state-space models, is proposed. The algorithm is especially well-suited to identify high-order and…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Vatsal Kedia , Debraj Chakraborty

This paper proposes a new methodology in linear time-periodic (LTP) system identification. In contrast to previous methods that totally separate dynamics at different tag times for identification, the method focuses on imposing appropriate…

Systems and Control · Electrical Eng. & Systems 2021-11-10 Mingzhou Yin , Andrea Iannelli , Mohammad Khosravi , Anilkumar Parsi , Roy S. Smith

This paper focuses on distributed signal estimation in topology-unconstrained wireless acoustic sensor networks (WASNs) where sensor nodes only transmit fused versions of their local sensor signals. For this task, the topology-independent…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-11 Paul Didier , Toon van Waterschoot , Simon Doclo , Jörg Bitzer , Marc Moonen

This paper presents a topological analytics approach within the 5-level Cyber-Physical Systems (CPS) architecture for the Stream-of-Quality assessment in smart manufacturing. The proposed methodology not only enables real-time quality…

Machine Learning · Computer Science 2024-04-24 Jay Lee , Dai-Yan Ji , Yuan-Ming Hsu

The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a…

Optimization and Control · Mathematics 2019-03-21 Siddharth Bhela , Deepjyoti Deka , Harsha Nagarajan , Vassilis Kekatos

Uncalibrated instrument transformers (ITs) can degrade the performance of downstream applications that rely on the voltage and current measurements that ITs provide. It is also well-known that phasor measurement unit (PMU)-based system-wide…

Systems and Control · Electrical Eng. & Systems 2025-03-28 Antos Cheeramban Varghese , Anamitra Pal

This paper proposes a novel topological learning framework that integrates networks of different sizes and topology through persistent homology. Such challenging task is made possible through the introduction of a computationally efficient…

Neurons and Cognition · Quantitative Biology 2023-01-30 Tananun Songdechakraiwut , Moo K. Chung

Graph topology identification (GTI) is a central challenge in networked systems, where the underlying structure is often hidden, yet nodal data are available. Conventional solutions to address these challenges rely on probabilistic models…

Signal Processing · Electrical Eng. & Systems 2026-02-18 Yongsheng Han , Raj Thilak Rajan , Geert Leus