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A. Annexes and . Prefixspan, FreeSpan it tries to avoid checking every possible combination of a potential candidate sequence. For example, since items within an element of a sequence can be listed in any order, without loss of generality, one can assume that they are always listed alphabetically In this case the concept of prefix and suffix is introduced. A real data set was used, Gazelle from Blue Martini. It contains 29,369 customers' Web click-stream data provided by Blue Martini Software company. It contains 35,722 sessions and 87,546 page views. The synthetic data set contains 200,000 customers, and the number of items is 10, The average number of items in a transaction is 2.5, and the average number of transactions in a sequence is 10, p.0

@. Pripsep, Privacy Preserving Sequential Patterns) [Kapoor 06

@. Seq and -. , It builds in adnvance a "large" FP-tree which can be used to mine top-k frequent patterns with any different values of top-k in order to save the computation time

@. Seq-miner, Only a very small number of items (compared to k) are examined to generate top-k frequent patterns in comparison to OExMiner

@. Spade, The idea is to break the large search space into small, manageable chunks that can be processed independently in memory. This is accomplished via suffix-based equivalence classes. Synthetic data sets were used in the analysis

@. Tag and . Heuristics, Timed Automata with Granularities) [Bettini 98b]. The data set was the closing prices of 439 stocks for 517 trading days during the period between, 1994.