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{ f }:2.1 α 2 +2.1
{ g }:1.8 α 2 +2.1 α +2.7
{ h }:1.5 α 2 +1.5
{ i }:1.0
{ f,g }:1.26 α 2 +1.89
{ f,h }:1.05 α 2 +1.05
{ g,h }:1.35 α 2 +1.35
{ g,i }:0.90
{ f,g,h }:0.945 α 2 +0.945
Fig. 14.10 The TUF-stream structure for streaming uncertain data D 3
Fig. 14.11 The LUF-stream
structure for streaming
uncertain data D 3
{ g }:6.6
{ h }:3.0
{ i }:1.0
{ f }:4.2
{ f,g }:3.15
{ f,h }:2.10
{ g,h }:2.70
{ g,i }:0.90
{ f,g,h }:1.890
8.4
LUF-streaming for the Landmark Model
Moreover, Leung et al. [ 41 ] extended the TUF-streaming algorithm to become the
LUF-streaming algorithm, which mines frequent patterns from streaming uncertain
data in a fashion similar to the UF-streaming and TUF-streaming algorithms, except
that LUF-streaming uses the landmark model . When using the landmark model, the
corresponding LUF-stream structure (i) captures all “frequent” patterns mined from
all batches of streaming uncertain data generated from a landmark to the present time
and (ii) treats all batches with the same importance. See Fig. 14.11 .
8.5
Hyperlinked Structure-Based Streaming Uncertain Frequent
Pattern Mining
So far, we have described notable exact and approximate tree-based streaming un-
certain frequent pattern mining algorithms. Besides them, there are also hyperlinked
structure based algorithms. For instance, Nadungodage et al. [ 46 ] proposed two
false positive-oriented algorithms called UHS-Stream and TFUHS-Stream . The
UHS-Stream algorithm applies uncertain hyperlinked structure stream mining for
finding all the frequent patterns seen up to the current moment (i.e., with the land-
mark model). Similarly, the TFUHS-Stream algorithm applies uncertain hyperlinked
structure stream mining, but it uses the time-fading model. Hence, the TFUHS-
Stream algorithm puts heavier weights on the recent transactions than historical data
in the stream.
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