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Dynamical systems in the life sciences are often composed of complex mixtures of overlapping behavioral regimes. Cellular subpopulations may shift from cycling to equilibrium dynamics or branch towards different developmental fates. The…

Machine Learning · Computer Science 2025-10-13 Nathan Quiblier , Roy Friedman , Matthew Ricci

Lab measurements showed that identification (ID) and monitoring of objects using remote sensing of their vibration signatures are limited in a couple rare cases. This work provides two necessary conditions to infer that the identification…

Optics · Physics 2014-08-25 Michael C. Kobold

Structural health monitoring (SHM) is an essential engineering field aimed at ensuring the safety and reliability of civil infrastructures. This study proposes a methodology using multivariate variational mode decomposition (MVMD) for…

Applications · Statistics 2025-04-16 Lakhadive Mehulkumar R , Anshu Sharma , Basuraj Bhowmik

Although speckle is a powerful tool for high-precision metrology, large datasets and cumbersome training are always required to learn from the encoded speckle patterns, which is unfavorable for rapid deployment and multi-dimensional…

Modal analysis is the process of estimating a system's modal parameters such as its natural frequencies and mode shapes. One application of modal analysis is in structural health monitoring (SHM), where a network of sensors may be used to…

Information Theory · Computer Science 2018-03-14 Shuang Li , Dehui Yang , Gongguo Tang , Michael B. Wakin

The topology method is an algorithm for accurate estimation of instantaneous heartbeat intervals using millimeter-wave radar signals. In this model, feature points are extracted from the skin displacement waveforms generated by heartbeats…

Signal Processing · Electrical Eng. & Systems 2024-02-23 Yuji Tanaka , Kimitaka Sumi , Itsuki Iwata , Takuya Sakamoto

Understanding human perceptions presents a formidable multimodal challenge for computers, encompassing aspects such as sentiment tendencies and sense of humor. While various methods have recently been introduced to extract…

Multimedia · Computer Science 2023-11-21 Hao Sun , Ziwei Niu , Xinyao Yu , Jiaqing Liu , Yen-Wei Chen , Lanfen Lin

Field-orthogonal temporal mode analysis of optical fields is recently developed for a new framework of quantum information science. But so far, the exact profiles of the temporal modes are not known, which makes it difficult to achieve mode…

Quantum Physics · Physics 2020-06-24 Nan Huo , Yuhong Liu , Jiamin Li , Liang Cui , Xin Chen , Rithwik Palivela , Tianqi Xie , Xiaoying Li , Z. Y. Ou

For objects of "large" vibration size such as waves on the sea surface, the choice of measurement method can create different understandings of system behavior. In one case, laser vibrometry measurements of a vibrating bar in a controlled…

Instrumentation and Detectors · Physics 2021-02-23 Michael C. Kobold , Michael McKinley

Modal analysis has long been consolidated as a basic tool to interpret dynamics and build low-order models of mechanical, thermal, and fluid systems. Eigenmodes arising from the spectral decomposition of the underlying linearized dynamics…

Dynamical Systems · Mathematics 2024-12-17 Nicolas Torres-Ulloa , Erick Kracht , Urban Fasel , Benjamin Herrmann

Based on cluster de-synchronization properties of phase oscillators, we introduce an efficient method for the detection and identification of modules in complex networks. The performance of the algorithm is tested on computer generated and…

Physics and Society · Physics 2015-06-26 S. Boccaletti , M. Ivanchenko , V. Latora , A. Pluchino , A. Rapisarda

A novel data-driven method of modal analysis for complex flow dynamics, termed as reduced-order variational mode decomposition (RVMD), has been proposed, combining the idea of the separation of variables and a state-of-the-art nonstationary…

Fluid Dynamics · Physics 2022-09-27 Zi-Mo Liao , Zhiye Zhao , Liang-Bing Chen , Zhen-Hua Wan , Nan-Sheng Liu , Xi-Yun Lu

The identification of local modules in dynamic networks with known topology has recently been addressed by formulating conditions for arriving at consistent estimates of the module dynamics, typically under the assumption of having…

Systems and Control · Computer Science 2019-03-26 Paul M. J. Van den Hof , Karthik R. Ramaswamy , Arne G. Dankers , Giulio Bottegal

A numerical method is presented to compute the eigenmodes supported by three dimensional (3D) metamaterials using the Method of Moments (MoM). The method relies on interstitial equivalent currents between layers. First, a parabolic…

Computational Physics · Physics 2019-12-02 Denis Tihon , Valentina Sozio , Nilufer A. Ozdemir , Matteo Albani , Christophe Craeye

Wide-area synchrophasor ambient measurements provide a valuable data source for real-time oscillation mode monitoring and analysis. This paper introduces a novel method for identifying inter-area oscillation modes using wide-area ambient…

Signal Processing · Electrical Eng. & Systems 2021-03-03 Shutang You

Structural Health Monitoring (SHM) systems are critical for monitoring aging infrastructure (such as buildings or bridges) in a cost-effective manner. Such systems typically involve collections of battery-operated wireless sensors that…

Information Theory · Computer Science 2015-06-16 Jae Young Park , Michael B. Wakin , Anna C. Gilbert

This contribution deals with identification of fractional-order dynamical systems. System identification, which refers to estimation of process parameters, is a necessity in control theory. Real processes are usually of fractional order as…

Other Computer Science · Computer Science 2016-11-15 Deepyaman Maiti , Ayan Acharya , R. Janarthanan , Amit Konar

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonlinear dynamical systems via the Koopman operator. In this…

Systems and Control · Computer Science 2017-12-01 Zhe Bai , Eurika Kaiser , Joshua L. Proctor , J. Nathan Kutz , Steven L. Brunton

We describe a practical procedure for extracting the spatial structure and the growth rates of slow eigenmodes of a spatially extended system, using a unique experimental capability both to impose and to perturb desired initial states. The…

Fluid Dynamics · Physics 2007-05-23 Kapilanjan Krishan , Andreas Handel , Roman O. Grigoriev , Michael F. Schatz

Various methods for designing input features have been proposed for fault recognition in rotating machines using one-dimensional raw sensor data. The available methods are complex, rely on empirical approaches, and may differ depending on…

Machine Learning · Computer Science 2024-02-16 Seetaram Maurya , Nishchal K. Verma