2021
DOI: 10.3389/fevo.2021.623141
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SVD Entropy Reveals the High Complexity of Ecological Networks

Abstract: Quantifying the complexity of ecological networks has remained elusive. Primarily, complexity has been defined on the basis of the structural (or behavioural) complexity of the system. These definitions ignore the notion of “physical complexity,” which can measure the amount of information contained in an ecological network, and how difficult it would be to compress. We present relative rank deficiency and SVD entropy as measures of “external” and “internal” complexity, respectively. Using bipartite ecological… Show more

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Cited by 24 publications
(16 citation statements)
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“…The entropy value method is an important application of entropy theory in the field of determining weight [49,50]. The degree of dispersion and the importance of analysis of each evaluation index can be judged by the entropy value and the weight of the index [51,52].…”
Section: Entropy Value Methodsmentioning
confidence: 99%
“…The entropy value method is an important application of entropy theory in the field of determining weight [49,50]. The degree of dispersion and the importance of analysis of each evaluation index can be judged by the entropy value and the weight of the index [51,52].…”
Section: Entropy Value Methodsmentioning
confidence: 99%
“…A network embedding projects each node of the network into a lowerdimensional latent space. Previous explorations of the dimensionality of food webs have revealed that a reduced number of dimensions (7) was sufficient to capture most of their structure [132]; however, recent quantifications of the complexity of the embedding space of bipartite ecological networks found a consistent high complexity [133], suggesting that the precise depth of embedding required may vary considerably across systems. Embedding enables us to represent the structure of a network, which previously required the S 2 dimensions of an adjacency matrix, with a smaller number of dimensions.…”
Section: (Ii) What Network Properties Should We Use To Inform Our Predictions Of Interactions?mentioning
confidence: 99%
“…The latent variables are created by performing a truncated singular value decomposition (t-SVD; Halko et al, 2011) on the adjacency matrix. SVD is an appropriate embedding of ecological networks, which has recently been shown to both capture their complex, emerging properties (Strydom, Dalla Riva, & Poisot, 2021) and to allow highly accurate prediction of the interactions within a single network (Poisot, Ouellet, et al, 2021).…”
Section: Step 1: Learning the Origin Network Representationmentioning
confidence: 99%