
Hypernetworks: From Posets to Geometry
We show that hypernetworks can be regarded as posets which, in their tur...
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Geometric Sampling of Networks
Motivated by the methods and results of manifold sampling based on Ricci...
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Ricci Curvature Based Volumetric Segmentation of the Auditory Ossicles
The auditory ossicles that are located in the middle ear are the smalles...
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Discrete Morse Theory, Persistent Homology and FormanRicci Curvature
Using Banchoff's discrete Morse Theory, in tandem with Bloch's result on...
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A Simple Differential Geometry for Networks and its Generalizations
Based on two classical notions of curvature for curves in general metric...
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Metric Curvatures and their Applications 2: Metric Ricci Curvature and Flow
In this second part of our overview of the different metric curvatures a...
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Persistent homology of unweighted complex networks via discrete Morse theory
We present a new method based on discrete Morse theory to study topologi...
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Forman's Ricci curvature  From networks to hypernetworks
Networks and their higher order generalizations, such as hypernetworks o...
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Comparative analysis of two discretizations of Ricci curvature for complex networks
We have performed an empirical comparison of two distinct notions of dis...
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Fat Triangulations and Differential Geometry
We study the differential geometric consequences of our previous result ...
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Isometric Embeddings in Imaging and Vision: Facts and Fiction
We explore the practicability of Nash's Embedding Theorem in vision and ...
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Geometric approach to sampling and communication
Relationships that exist between the classical, Shannontype, and geomet...
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Combinatorial Ricci Curvature and Laplacians for Image Processing
A new Combinatorial Ricci curvature and Laplacian operators for grayscal...
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Surface Triangulation  The Metric Approach
We embark in a program of studying the problem of better approximating s...
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Emil Saucan
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