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Table 1 Notations used in this paper

From: A novel algorithm for fast and scalable subspace clustering of high-dimensional data

Notation

Meaning

D B

The database of points

|T|

The cardinality of a set T

n

The total number of points, n=|D B|

D

The set of attributes, D={d 1,d 2,…,d k }

k

The total number of dimensions, k=|D|

d i

The i th dimension, d i ∈D

P i

The i th point, P i ∈D B

S

A subspace, S⊂D

\({P_{i}^{S}}\)

The i th point projected on a subspace S

N S

The neighbourhood of a point in a subspace S

d i s t()

The distance function to find neighbourhood

C

A cluster

CS

A core set of density connected points within ε distance

\(\mathcal {U}\)

A dense unit, \(|\mathcal {U}|=\tau +1\)

1-D

One dimensional

\(\mathcal {H}\)

Signature of a dense unit

L

Large Integer

K

A set of random large integers, |K|=n

hTable

A hash table