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Bio-medical Ontologies Maintenance and Change Management

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100 L. Stanescu, D. Dan Burdescu, <strong>and</strong> M. Brezovan<br />

For a usual implementation, the calculation of quadratic distance is much more<br />

complex than calculation of distances based on Minkowski form, because it is<br />

calculated the similarity between all the elements.<br />

The complexity of the method is O(m 2 × n) where m represents the number of<br />

colors resulted from the quantization process <strong>and</strong> n represents the number of images<br />

in the database.<br />

3.6.4 Evaluation of the Retrieval Efficiency<br />

The scope of the indexing operations <strong>and</strong> similarity comparing is to obtain a good<br />

efficiency for the retrieval operation. The performance of the information retrieval<br />

operation is measured normally with three parameters [86]: speed, recall <strong>and</strong> precision.<br />

These three parameters are determined by the indexing schema <strong>and</strong> the<br />

method used for similarity comparing.<br />

The meaning of the speed parameter is obvious. The performance is higher as<br />

the speed is higher.<br />

The recall <strong>and</strong> precision parameters are used together to measure the efficiency<br />

of the retrieval process [36, 84].<br />

The recall parameter measures the ability of the system to find relevant information<br />

in the database. Recall signifies the proportion of relevant images in the<br />

database that are retrieved in response to a query [41, 84]. To test the system performance,<br />

an expert has to determine the number of relevant articles in the database,<br />

for each query that is tested. The performance is higher as the value of this<br />

parameter is higher.<br />

The precision parameter measures the accuracy of the retrieval operation. Precision<br />

is the proportion of the retrieved images that are relevant to the query [41,<br />

84]. If it is taken into consideration only this parameter, the performance of the<br />

retrieval operation is higher as the value of this parameter is higher.<br />

Let consider A, the collection of relevant articles <strong>and</strong> B the collection of retrieved<br />

articles. The a, b, c <strong>and</strong> d are defined next (figure 3.6):<br />

• a = relevant retrieved articles<br />

• b = not relevant retrieved articles<br />

• c = relevant articles that are not retrieved<br />

• d = not relevant articles that are not retrieved<br />

a c<br />

b<br />

B<br />

d<br />

Fig. 3.6. A – relevant articles collection; B – retrieved articles collection<br />

A

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