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| Author(s): |
Paulo Joia Filho
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2015-10-14 |
| Examining board members: |
Luis Gustavo Nonato;
Carla Maria Dal Sasso Freitas;
Hugo Alexandre Dantas do Nascimento;
Fernando Vieira Paulovich;
Hélio Pedrini
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| Advisor: | Luis Gustavo Nonato |
| Abstract | |
Projection techniques play an important role in multidimensional data analysis and exploration, since they allow to visualize information frequently hidden in high-dimensional spaces. This thesis explores the potential of those techniques to solve problems related to: 1) clustering and 2) similarity search in multidimensional data. For clustering data, a local and interactive projection technique capable of projecting data with effective preservation of distances was developed. This one allows the user to manipulate a reduced number of representative samples in the visual space so as to better organize them. The final mappings tend to follow the layout of the samples organized by the user, therefore, the user can interactively steer the projection. This makes it easy to organize and group large data sets. However, it is not always possible to select or group samples visually, in a reliable manner, mainly when handling unlabeled data. For these cases, a new clustering method based on multidimensional projection was proposed, which operates in the visual space, ensuring that clusters are not fragmented during the visualization. Moreover, it is driven by a deterministic sampling mechanism, able to identify instances that are good representatives for the whole data set. The proposed method is versatile and robust when dealing with unbalanced data sets. For the second problem: similarity search in multidimensional data, we build a family of class-specific metrics to project data. Such metrics were tailored to minimize the dissimilarity measure among objects from the same class and, simultaneously to maximize the dissimilarity among objects in distinct classes. The class-specific metrics are assessed in the context of content-based image retrieval. With the aim of increasing the precision of the class-specific metrics, another technique was developed. This one, uses the fuzzy set theory to estimate a degree of uncertainty, which is embedded in the metric, increasing its precision. The results confirm the effectiveness of the developed techniques, which represent significant contributions for clustering and similarity search in multidimensional data. (AU) | |
| FAPESP's process: | 10/07367-9 - Visualizing and Interacting with High Dimensional Data: Mathematical and Computational Aspects |
| Grantee: | Paulo Joia Filho |
| Support Opportunities: | Scholarships in Brazil - Doctorate |