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Quantifying similarity of pore-geometry in nanoporous materials [PDF]
Nature Communications, 2017 Pore structure plays an important role in dictating gas storage performance for nanoporous materials. Here, Smit and colleagues develop a topological approach to quantify pore structure similarity, and exploit the resulting descriptor to screen for ...
Yongjin Lee +5 more
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Log-Aesthetic Curves and Similarity Geometry
International Journal of Automation TechnologyThis paper delves into the recent advancements of log-aesthetic curves (LAC), a family of curves for industrial design. Recently it has been redefined in the context of similarity geometry, a branch of Klein geometry. Building upon the work of Miura and Gobithaasan [1], the paper explores LAC properties, delves into the connection with similarity ...
Kenjiro T. Miura, R. U. Gobithaasan
semanticscholar +3 more sources
PLoS ONE, 2014 The automatic detection and tracking of human eyes and, in particular, the precise localization of their centers (pupils), is a widely debated topic in the international scientific community.
Marco Leo +3 more
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Epipolar geometry based on line similarity [PDF]
2016 23rd International Conference on Pattern Recognition (ICPR), 2016 ICPR 2016, Cancun, Dec ...
Ben-Artzi, Gil +3 more
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Beyond Geometry: Comparing the Temporal Structure of Computation in Neural Circuits with Dynamical Similarity Analysis [PDF]
Neural Information Processing Systems, 2023 How can we tell whether two neural networks utilize the same internal processes for a particular computation? This question is pertinent for multiple subfields of neuroscience and machine learning, including neuroAI, mechanistic interpretability, and ...
Mitchell Ostrow +3 more
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Geometry of Similarity Comparisons [PDF]
, 2020 Many data analysis problems can be cast as distance geometry problems in \emph{space forms} -- Euclidean, spherical, or hyperbolic spaces. Often, absolute distance measurements are often unreliable or simply unavailable and only proxies to absolute distances in the form of similarities are available.
Puoya Tabaghi +3 more
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Geometry-aware Similarity Learning on SPD Manifolds for Visual Recognition [PDF]
IEEE transactions on circuits and systems for video technology (Print), 2016 Symmetric positive definite (SPD) matrices have been employed for data representation in many visual recognition tasks. The success is mainly attributed to learning discriminative SPD matrices encoding the Riemannian geometry of the underlying SPD ...
Zhiwu Huang +6 more
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Similarity of operators and geometry of eigenvector bundles [PDF]
Publicacions Matemàtiques, 2009 18 ...
Hyun‐Kyoung Kwon, Sergei Treil
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Modeling a domain wall network in BiFeO3 with stochastic geometry and entropy-based similarity measure [PDF]
Frontiers in MaterialsA compact and tractable two-dimensional model to generate the topological network structure of domain walls in BiFeO3 thin films is presented in this study.
Davide Cipollini +4 more
doaj +2 more sources
Recursive Similarity Hashing Of Fractal Geometry
, 2010 A new technique of topological multi-scale analysis is introduced. By performing a clustering recursively to build a hierarchy, and analyzing the co-scale and intra-scale similarities, an Iterated Function System can be extracted from any data set. The study of fractals shows that this method is efficient to extract self-similarities, and can find ...
Timothée Leleu
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