Zobrazeno 1 - 10
of 145
pro vyhledávání: '"Sergey N. Dorogovtsev"'
Autor:
Ricardo J. Jesus, Mário L. Antunes, Rui A. da Costa, Sergey N. Dorogovtsev, José F. F. Mendes, Rui L. Aguiar
Publikováno v:
Mathematics, Vol 9, Iss 18, p 2246 (2021)
The function and performance of neural networks are largely determined by the evolution of their weights and biases in the process of training, starting from the initial configuration of these parameters to one of the local minima of the loss functio
Externí odkaz:
https://doaj.org/article/462e8da4bb4148c5b31af6e5ed823667
Publikováno v:
The Nature of Complex Networks ISBN: 0199695113
Many of the problems considered in this book are equivalent to models of interacting spins or agents. For instance, the bond percolation problem is equivalent to the 1-state Potts model (Kasteleyn and Fortuin, 1969; Kasteleyn and Fortuin, 1969), the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::496dac48d6ffd2a9429e3cb2b33280f0
https://doi.org/10.1093/oso/9780199695119.003.0012
https://doi.org/10.1093/oso/9780199695119.003.0012
Publikováno v:
The Nature of Complex Networks ISBN: 0199695113
By the late 1970s, the theory of classical random graphs was already well developed, and mathematicians started to search for more general network constructions. In 1978, Edward A. Bender and E. Rodney Canfield published a paper entitled ‘The asymp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a650959f6a3d7667e2d7b2ac719736b
https://doi.org/10.1093/oso/9780199695119.003.0004
https://doi.org/10.1093/oso/9780199695119.003.0004
Publikováno v:
The Nature of Complex Networks ISBN: 0199695113
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02b77da35be7ddda88790bebdfd93d91
https://doi.org/10.1093/oso/9780199695119.005.0004
https://doi.org/10.1093/oso/9780199695119.005.0004
Publikováno v:
The Nature of Complex Networks ISBN: 0199695113
Let us return to the configuration model of uncorrelated networks with a given degree distribution P(q) and exploit its local tree-likeness to explore basic structural features of these networks. The elements of the techniques that we use here were f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12655efebc541431fd47ac34b87d1ac7
https://doi.org/10.1093/oso/9780199695119.003.0006
https://doi.org/10.1093/oso/9780199695119.003.0006
Publikováno v:
The Nature of Complex Networks ISBN: 0199695113
In this chapter we mainly focus on the results of activation processes in networks and on various combinations of activation and deactivation processes. The bootstrap percolation problem is about the basic activation process on networks, in which ver
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https://doi.org/10.1093/oso/9780199695119.003.0007
https://doi.org/10.1093/oso/9780199695119.003.0007
Publikováno v:
The Nature of Complex Networks ISBN: 0199695113
Spectral properties of networks essentially determine the key features of processes and cooperative phenomena taking place in them. For example, the largest eigenvalue of the adjacency matrix of a network determines the epidemic threshold of the SIS
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1a09621e7b74e1fd37c4ee941731708
https://doi.org/10.1093/oso/9780199695119.003.0009
https://doi.org/10.1093/oso/9780199695119.003.0009
Publikováno v:
The Nature of Complex Networks ISBN: 0199695113
Look at the two graphs in Figure 1.1. Could you say which graph is random, left or right? The typical student’s response is: ‘Of course, the right one!’ This immediate answer is dramatically incorrect. It is actually impossible to say whether a
Externí odkaz:
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https://doi.org/10.1093/oso/9780199695119.003.0001
https://doi.org/10.1093/oso/9780199695119.003.0001
Publikováno v:
The Nature of Complex Networks ISBN: 0199695113
Inference is generally about drawing conclusions about the whole on the basis of a sample. Statistical inference is ‘the process of deducing properties of an underlying distribution by analysis of data’ (Zdeborová and Krzakala, 2016). More speci
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https://doi.org/10.1093/oso/9780199695119.003.0013
https://doi.org/10.1093/oso/9780199695119.003.0013
Publikováno v:
The Nature of Complex Networks ISBN: 0199695113
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::338ec822f1ce766bbc90320e0bd1dcea
https://doi.org/10.1093/oso/9780199695119.005.0003
https://doi.org/10.1093/oso/9780199695119.005.0003