2017
DOI: 10.1098/rsif.2016.0966
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Fundamental limitations of network reconstruction from temporal data

Abstract: Inferring properties of the interaction matrix that characterizes how nodes in a networked system directly interact with each other is a well-known network reconstruction problem. Despite a decade of extensive studies, network reconstruction remains an outstanding challenge. The fundamental limitations governing which properties of the interaction matrix (e.g. adjacency pattern, sign pattern or degree sequence) can be inferred from given temporal data of individual nodes remain unknown. Here, we rigorously der… Show more

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Cited by 61 publications
(57 citation statements)
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References 51 publications
(124 reference statements)
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“…This is suitable for simple systems but not for complex microbial systems. Indeed, accurate temporal predictions are possible even if the identified interactions look totally different from the actual ones .…”
Section: Pitfalls In Current Dynamic Inferencementioning
confidence: 99%
See 1 more Smart Citation
“…This is suitable for simple systems but not for complex microbial systems. Indeed, accurate temporal predictions are possible even if the identified interactions look totally different from the actual ones .…”
Section: Pitfalls In Current Dynamic Inferencementioning
confidence: 99%
“…This is suitable for simple systems but not for complex microbial systems. Indeed, accurate temporal predictions are possible even if the identified interactions look totally different from the actual ones [42]. To demonstrate the above point, we set up a synthetic microbial system with eight species, following the GLV dynamics with three binary perturbations.…”
Section: Pitfalls In Current Dynamic Inferencementioning
confidence: 99%
“…Recently, two classes of fundamental limitations of NR were characterized by deriving necessary (and in some cases sufficient) conditions to reconstruct any desired property of the interaction matrix (Angulo et al, 2015). The first class of fundamental limitations is due to our uncertainty about the coupling functions f ij (x i , x j ), leading to a natural trade-off: the more information we want to reconstruct about the interaction matrix the more certain we need to be about the coupling functions.…”
Section: Network Reconstructionmentioning
confidence: 99%
“…performing more experiments, which are sometime either infeasible to too expensive), prior knowledge of the interaction matrix, e.g. the bounds of the edge weights, is extremely useful (Angulo et al, 2015).…”
Section: Network Reconstructionmentioning
confidence: 99%
“…Extracting coupling topology from a network of dynamical units is a challenging task that requires advanced signal processing techniques2930. Here we apply a method that uses phase models to characterize the interaction topology3132.…”
Section: Resultsmentioning
confidence: 99%