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IEICE TRANSACTIONS on transactions

Conjunctive Cases of Simple Binary-Valued Retrieval Problems for the Trade-offs Evaluation Model

Hiroshige INAZUMI, Shigeichi HIRASAWA

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Summary :

Trade-offs between storage and error in the simple binary-valued retrieval problems are analyzed by using the rate distortion theoretic method from the viewpoint of the trade-offs evaluation model. These problems, the table lookup question, the exact match question, and the set of all binary-valued questions, have been proposed as the typical basic model of the information retrieval systems to evaluate the memory cost, the access cost, the state cost, the logic cost, and their relationships. The evaluation critera of memory-error trade-offs are the elastic condition and the excess of information. The former means that drastic savings of the amount of storage with a small error tolerance is feasible. The latter means the measure to evaluate the degree of the possibility for the system to achieve elastic condition. As a result, although the set of all binary-valued questions admits the possible highest excess of information, its statistical property is almost equivalent to that of the table lookup question, and only the exact match question satisfies the elastic condition. Furthermore, considering the conjunctive model which means the combination of each questions for the basic model, the property of elasticity or inelasticity for the basic model is changed from that of the basic model in accordance with the degree of the combination of the questions.

Publication
IEICE TRANSACTIONS on transactions Vol.E72-E No.5 pp.471-478
Publication Date
1989/05/25
Publicized
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Type of Manuscript
Special Section PAPER (Special Issue on Information Theory and Its Applications)
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