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Ellipsoidal Embeddings of Graphs
SIAM Journal on Applied MathematicsDue to their flexibility to represent almost any kind of relational data, graph-based models have enjoyed a tremendous success over the past decades. While graphs are inherently only combinatorial objects, however, many prominent analysis tools are based on the algebraic representation of graphs via matrices such as the graph Laplacian, or on ...
Michaël Fanuel +3 more
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, 2022 Information retrieval (IR) systems such as search engines are important for people to find what they need among the tremendous amount of data available in their organization or on the Internet. These IR systems enable users to search in a large data collection by specifying queries that describe their information needs. Traditionally, the data elements
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Embedding graphs on Grassmann manifold
Neural Networks, 2022 Learning efficient graph representation is the key to favorably addressing downstream tasks on graphs, such as node or graph property prediction. Given the non-Euclidean structural property of graphs, preserving the original graph data's similarity relationship in the embedded space needs specific tools and a similarity metric.
Bingxin Zhou +4 more
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One-Hot Graph Encoder Embedding [PDF]
, 2022 In this paper we propose a lightning fast graph embedding method called one-hot graph encoder embedding. It has a linear computational complexity and the capacity to process billions of edges within minutes on standard PC -- making it an ideal candidate ...
Priebe, Carey E. +2 more
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Regular embeddings of a graph [PDF]
Pacific Journal of Mathematics, 1983 In this paper we study embeddings of a graph G in Euclidean space R" that are 'regular' in the following sense: given any two distinct vertices u and v of G, the distance between the corresponding points in R" equals a if u and v are adjacent, and equals β otherwise.
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Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
FEBS Letters, EarlyView.Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
wiley +1 more source
IEEE AccessIn this paper, we propose Time2Graph, a novel graph-based classification model designed to improve time series classification(TSC) performance in graph environments. Time2Graph applies a nested graph construction to effectively analyze time series in the
Sanghun Lee, Yang-Sae Moon
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FEBS Letters, EarlyView.Obesity raises blood levels of PAI‐1, a protein linked to metabolic dysfunction‐associated steatotic liver disease in people with obesity. In female mice fed a high‐fat diet, partially lowering PAI‐1 led to smaller subcutaneous fat cells and lower liver cholesterol, without changing body weight or insulin sensitivity.
Claudia E. Ramirez Bustamante +10 more
wiley +1 more source
CoRR, 2019 Representation learning has recently been successfully used to create vector representations of entities in language learning, recommender systems and in similarity learning. Graph embeddings exploit the locality structure of a graph and generate embeddings for nodes which could be words in a language, products of a retail website; and the nodes are ...
Shalin Shah, Venkataramana B. Kini
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Graph Embedding with Topological Cycle-Constraints [PDF]
, 1999 This paper concerns graph embedding under topological constraints. We address the problem of finding a planar embedding of a graph satisfying a set of constraints between its vertices and cycles that require embedding a given vertex inside its ...
Dornheim, Christoph, Christoph Dornheim
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