Finding Hidden Links: Projection Networks
Introduction to Financial Networks
Creating and Describing Networks
Identifying Important Nodes: Centrality Metrics
Uncovering Latent Structure: Clustering and Community Detection
Finding Hidden Links: Projection Networks
Fast Insights: Visualising Networks
Financial Cartography: Network Layouts
Brass Tacks: Complexity Reduction
Market Risk: Asset Correlation Networks
Liquidity and Operational Risk: Interbank Payment Networks
Counterparty and Systemic Risk: Exposure Networks
A projection network is a particular type of network created from a bipartite network. A bipartite network, first introduced in Chapter 2, is one in which nodes can be categorised into two groups or partitions such that links only exist between the groups and never within either group. Examples of bipartite networks that have been analysed in the literature include films and actors, where a link exists between an actor and a film if the actor appeared in the film (see Newman, Strogatz and Watts, 2001; Tumminello et al, 2011); scientific papers and their authors (see Newman, 2001(a, b); Barabási et al, 2002); and human genes and diseases (Goh et al, 2007). In finance, one group of nodes might represent investors and the other companies, with links representing investments: investors only invest in companies, so links only exist between the two groups. The corresponding projection network consists only of investors, and links exist between investors that invest in at least one common company (or, alternatively, the projection network could exist only of companies, in which case links would exist between companies that share at least one common investor).
Projection networks are
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