Search Results - "Saucan, Emil"

Hypergraph geometry reflects higher-order dynamics in protein interaction networks by Murgas, Kevin A., Saucan, Emil, Sandhu, Romeil

“…Protein interactions form a complex dynamic molecular system that shapes cell phenotype and function; in this regard, network analysis is a powerful tool for…”
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Graph Ricci curvatures reveal atypical functional connectivity in autism spectrum disorder by Elumalai, Pavithra, Yadav, Yasharth, Williams, Nitin, Saucan, Emil, Jost, Jürgen, Samal, Areejit

“…While standard graph-theoretic measures have been widely used to characterize atypical resting-state functional connectivity in autism spectrum disorder (ASD),…”
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Comparative analysis of two discretizations of Ricci curvature for complex networks by Samal, Areejit, Sreejith, R. P., Gu, Jiao, Liu, Shiping, Saucan, Emil, Jost, Jürgen

“…We have performed an empirical comparison of two distinct notions of discrete Ricci curvature for graphs or networks, namely, the Forman-Ricci curvature and…”
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Multi-scale geometric network analysis identifies melanoma immunotherapy response gene modules by Murgas, Kevin A., Elkin, Rena, Riaz, Nadeem, Saucan, Emil, Deasy, Joseph O., Tannenbaum, Allen R.

“…Melanoma response to immune-modulating therapy remains incompletely characterized at the molecular level. In this study, we assess melanoma immunotherapy…”
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A Poset-Based Approach to Curvature of Hypergraphs by Yadav, Yasharth, Samal, Areejit, Saucan, Emil

“…In this contribution, we represent hypergraphs as partially ordered sets or posets, and provide a geometric framework based on posets to compute the…”
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Network geometry and market instability by Samal, Areejit, Pharasi, Hirdesh K, Ramaia, Sarath Jyotsna, Kannan, Harish, Saucan, Emil, Jost, Jürgen, Chakraborti, Anirban

“…The complexity of financial markets arise from the strategic interactions among agents trading stocks, which manifest in the form of vibrant correlation…”
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Forman-Ricci Flow for Change Detection in Large Dynamic Data Sets by Weber, Melanie, Jost, Jürgen, Saucan, Emil

“…We present a viable geometric solution for the detection of dynamic effects in complex networks. Building on Forman’s discretization of the classical notion of…”
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A Path-Curvature Measure for Word-Based Strategy Searches in Semantic Networks by Cohen, Haim, Nachshon, Yinon, Maril, Anat, Naim, Paz M., Jost, Jürgen, Saucan, Emil

“…Building on a modified version of the Haantjes path-based curvature, this article offers a novel measure that considers the direction of a stream of…”
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Object-Based Dynamics: Applying Forman–Ricci Flow on a Multigraph to Assess the Impact of an Object on The Network Structure by Cohen, Haim, Nachshon, Yinon, Maril, Anat, Naim, Paz M., Jost, Jürgen, Saucan, Emil

“…Temporal information plays a central role in shaping the structure of a network. In this paper, we consider the impact of an object on network structure over…”
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Local detour centrality: a novel local centrality measure for weighted networks by Cohen, Haim, Nachshon, Yinon, Naim, Paz M., Jost, Jürgen, Saucan, Emil, Maril, Anat

“…Centrality, in some sense, captures the extent to which a vertex controls the flow of information in a network. Here, we propose Local Detour Centrality as a…”
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Discrete Geometry—From Theory to Applications: A Case Study by Gu, David, Saucan, Emil

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ARAP＋＋： an extension of the local/global approach to mesh parameterization by Wang, Zhao, Luo, Zhong-xuan, Zhang, Jie-lin, Saucan, Emil

“…Mesh parameterization is one of the fundamental operations in computer graphics（CG） and computeraided design（CAD）. In this paper, we propose a novel…”
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Fat Triangulations, Curvature and Quasiconformal Mappings by Saucan, Emil, Katchalski, Meir

“…We investigate the interplay between the existence of fat triangulations, P L approximations of Lipschitz–Killing curvatures and the existence of…”
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Persistent homology of unweighted complex networks via discrete Morse theory by Kannan, Harish, Saucan, Emil, Roy, Indrava, Samal, Areejit

“…Topological data analysis can reveal higher-order structure beyond pairwise connections between vertices in complex networks. We present a new method based on…”
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Characterizing complex networks with Forman-Ricci curvature and associated geometric flows by Weber, Melanie, Saucan, Emil, Jost, Jürgen

“…Abstract We introduce Forman-Ricci curvature and its corresponding flow as characteristics for complex networks attempting to extend the common approach of…”
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Isometric Embeddings in Imaging and Vision: Facts and Fiction by Saucan, Emil

“…We explore the practicability of Nash’s Embedding Theorem in vision and imaging sciences. In particular, we investigate the relevance of a result of Burago and…”
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Ricci curvature based volumetric segmentation by Lei, Na, Huang, Jisui, Chen, Ke, Ren, Yuxue, Saucan, Emil, Wang, Zhenchang, Shang, Yuanyuan

“…The level set method has played a critical role among many image segmentation approaches. Several edge detectors, such as the gradient, have been applied to…”
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Coarse geometric kernels for networks embedding by Saucan, Emil, Barkanass, Vladislav, Jost, Jürgen

“…We develop embedding kernels based on the Forman–Ricci curvature and intertwined Bochner–Laplacian and employ them for the detection of the coarse structure of…”
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Publisher Correction: Coarse geometric kernels for networks embedding by Saucan, Emil, Barkanass, Vladislav, Jost, Jürgen

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Systematic evaluation of a new combinatorial curvature for complex networks by Sreejith, R.P., Jost, Jürgen, Saucan, Emil, Samal, Areejit

“…•Forman curvature is an edge-based measure of characterization of complex weighted networks.•Comparison of Forman curvature with other edge-based measures for…”
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