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Decay Models

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Encyclopedia of Database Systems
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Definition

Decay models are applicable on data sets where data items are associated with points in a metric space (locations) and there is a notion of “significance” of a data item to a location, which decays (decreases) with the distance between the item and the location. This decrease is modeled by a decay function.

Each location has a “view” of the data set through a different weight distribution over the items: the weight associated with each item is its decayed weight which is a product of its original weight and a decay function applied to its distance from the observing location.

While global aggregates or statistics are computed over the set of items and their original weights, decaying aggregates or decaying statistics depend on the location with respect to which the aggregation is performed and on the decay function. Figure 1 illustrates a small network and the decaying sum with respect to all nodes.

Decay Models, Fig. 1
figure 474 figure 474

Decaying sum over a network with respect to decay...

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Correspondence to Edith Cohen .

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Cohen, E. (2018). Decay Models. In: Liu, L., Özsu, M.T. (eds) Encyclopedia of Database Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8265-9_126

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