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Topological data analysis provides a set of tools to uncover low-dimensional structure in noisy point clouds. Prominent amongst the tools is persistence homology, which summarizes birth-death times of homological features using data objects…

Methodology · Statistics 2024-02-05 James Matuk , Sebastian Kurtek , Karthik Bharath

We study elastic electron scattering and localization by ubiquitous isotopic disorder in one-dimensional systems appearing due to interaction with phonon modes localized at isotope impurities. By using a tight-binding model with intersite…

Disordered Systems and Neural Networks · Physics 2024-08-21 K. S. Denisov , E. Ya. Sherman

In recent years, attention mechanisms have significantly enhanced the performance of object detection by focusing on key feature information. However, prevalent methods still encounter difficulties in effectively balancing local and global…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Yifan Shao

Topological sensitivities are a very useful tool for determining optimal designs. The topological derivative of a domain-dependent functional represents the sensitivity with respect to the insertion of an infinitesimally small hole. In the…

Optimization and Control · Mathematics 2019-03-22 Peter Gangl , Ulrich Langer

Electrides are characterized by electron density highly localized in interstitial sites, which do not coincide with the interatomic contacts. The rigorous quantum mechanical definition of electrides is based upon topological criteria…

Materials Science · Physics 2025-08-07 Stefano Racioppi , Eva Zurek

In order to expand the astrophysical reach of gravitational wave detectors, several interferometer topologies have been proposed to evade the thermodynamic and quantum mechanical limits in future detectors. In this work, we make a…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Haixing Miao , Huan Yang , Rana X Adhikari , Yanbei Chen

We propose an iterative scheme for feature-based positioning using a new weighted dissimilarity measure with the goal of reducing the impact of large errors among the measured or modeled features. The weights are computed from the…

Machine Learning · Computer Science 2019-05-31 Caifa Zhou , Andreas Wieser

The present study seeks to investigate mathematical structures of a multi-frequency subspace migration weighted by the natural logarithmic function for imaging of thin electromagnetic inhomogeneities from measured far-field pattern. To this…

Mathematical Physics · Physics 2014-12-23 Young-Deuk Joh , Won-Kwang Park

It has been seen recently that when probing a nanoscale object to determine, for example, size or position via light scattering, significant advantage in measurement precision can be gained from exploiting phase singularities in a…

The interface between topological and normal insulators hosts metallic states that appear due to the change in band topology. While these topological states at a surface, i.e., a topological insulator-air/vacuum interface, have been studied…

Efficient operation of distribution grids in the smart-grid era is hindered by the limited presence of real-time nodal and line meters. In particular, this prevents the easy estimation of grid topology and associated line parameters that…

Systems and Control · Computer Science 2020-03-03 Sejun Park , Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Sub-nanometer displacement detection lays the solid foundation for critical applications in modern metrology. In-plane displacement sensing, however, is mainly dominated by the detection of differential photocurrent signals from…

Applied Physics · Physics 2020-04-23 Miao-Hsuan Chien , Johannes Steurer , Pedram Sadeghi , Nicolas Cazier , Silvan Schmid

In this work we consider the inverse problem of reconstructing the optical properties of a layered medium from an elastography measurement where optical coherence tomography is used as the imaging method. We hereby model the sample as a…

Numerical Analysis · Mathematics 2024-02-23 Peter Elbau , Leonidas Mindrinos , Leopold Veselka

Although topological band theory has been used to discover and classify a wide array of novel topological phases in insulating and semi-metal systems, it is not well-suited to identifying topological phenomena in metallic or gapless…

Mesoscale and Nanoscale Physics · Physics 2022-09-13 Alexander Cerjan , Terry A. Loring

Fractal is an intriguing geometry with self-similarity and non-integer dimensions, the elastic-wave topological phase based on fractal structures has not been revealed up to now. In this work, elastic-wave higher-order topological states in…

Applied Physics · Physics 2024-10-08 Tingfeng Ma , Bowei Wu , Jiachao Xu , Hui Chen , Shuanghuizhi Li , Boyue Su , Pengfei Kang , Ji Wang

With the recent surge in big data analytics for hyper-dimensional data there is a renewed interest in dimensionality reduction techniques for machine learning applications. In order for these methods to improve performance gains and…

Machine Learning · Computer Science 2023-01-20 J. Derek Tucker , Matthew T. Martinez , Jose M. Laborde

The statistical mechanical approach to complex networks is the dominant paradigm in describing natural and societal complex systems. The study of network properties, and their implications on dynamical processes, mostly focus on locally…

Statistical Mechanics · Physics 2013-06-27 Giovanni Petri , Martina Scolamiero , Irene Donato , Francesco Vaccarino

A significantly low cost and tractable progressive learning approach is proposed and discussed for efficient spatiotemporal monitoring of a completely unknown, two dimensional correlated signal distribution in localized wireless sensor…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Hadi Alasti

Topological localization is a fundamental problem in mobile robotics, since robots must be able to determine their position in order to accomplish tasks. Visual localization and place recognition are challenging due to perceptual ambiguity,…

Robotics · Computer Science 2025-09-08 Emanuela Boros

Thanks to their compliance and adaptability, soft robots can be deployed to perform tasks in constrained or complex environments. In these scenarios, spatial awareness of the surroundings and the ability to localize the robot within the…

Robotics · Computer Science 2025-02-04 Giammarco Caroleo , Alessandro Albini , Perla Maiolino
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