Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Recent studies demonstrate the usefulness of condensed representations as a semantic compression technique for the frequent itemsets. Especially in inductive databases, condensed representations are a useful tool as an intermediate format to support exploration of the itemset space.   establish theoretical upper bounds on the maximal size of an itemset in different condensed representations. A central notion in the development of the bounds are the l-free sets, that form the basis of many ll-known representations.  will bound the maximal cardinality of an l-free set based on the size of the database. More concrete,  compute a lor bound for the size of the database in terms of the size of the l-free set, and when the database size is smaller than this lor bound,  know that the set cannot be l-free. An efficient method for calculating the exact value of the bound, based on combinatorial identities of partial row sums, is presented.  also present preliminary results on a statistical approximation of the bound and  illustrate the results with some simulations.
['Nele Dexters', 'Tgk Toon Calders']
I am writing a research paper on a idea Theoretical bounds on the size of condensed representations
[{"from": "human", "value": "I am writing a research paper on a idea Theoretical bounds on the size of condensed representations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Recent studies demonstrate the usefulness of condensed representations as a semantic compression technique for the frequent itemsets. Especially in inductive databases, condensed representations are a useful tool as an intermediate format to support exploration of the itemset space.   establish theoretical upper bounds on the maximal size of an itemset in different condensed representations. A central notion in the development of the bounds are the l-free sets, that form the basis of many ll-known representations.  will bound the maximal cardinality of an l-free set based on the size of the database. More concrete,  compute a lor bound for the size of the database in terms of the size of the l-free set, and when the database size is smaller than this lor bound,  know that the set cannot be l-free. An efficient method for calculating the exact value of the bound, based on combinatorial identities of partial row sums, is presented.  also present preliminary results on a statistical approximation of the bound and  illustrate the results with some simulations."}]