Visualizing and Interacting with Kernelized Data

Autor(es)

Barbosa, A. ^[1] ; Paulovich, F. V. ^[1] ; Paiva, A. ^[1] ; Goldenstein, S. ^[2] ; Petronetto, F. ^[3] ; Nonato, L. G. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Comp & Matemat Computac, Sao Carlos, SP - Brazil

^[2] Univ Estadual Campinas, Inst Comp, Campinas, SP - Brazil

^[3] Univ Fed Espirito Santo, Dept Matemat, Vitoria, ES - Spain

• Tipo de documento: Artigo Científico
• Fonte: IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS; v. 22, n. 3, p. 1314-1325, MAR 2016.
• Citações Web of Science: 8

Resumo

Kernel-based methods have experienced a substantial progress in the last years, tuning out an essential mechanism for data classification, clustering and pattern recognition. The effectiveness of kernel-based techniques, though, depends largely on the capability of the underlying kernel to properly embed data in the feature space associated to the kernel. However, visualizing how a kernel embeds the data in a feature space is not so straightforward, as the embedding map and the feature space are implicitly defined by the kernel. In this work, we present a novel technique to visualize the action of a kernel, that is, how the kernel embeds data into a high-dimensional feature space. The proposed methodology relies on a solid mathematical formulation to map kernelized data onto a visual space. Our approach is faster and more accurate than most existing methods while still allowing interactive manipulation of the projection layout, a game-changing trait that other kernel-based projection techniques do not have. (AU)

• Processo FAPESP: 11/22749-8 - Desafios em visualização exploratória de dados multidimensionais: novos paradigmas, escalabilidade e aplicações
• Beneficiário: Luis Gustavo Nonato
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/19760-5 - Interação e exploração de dados textuais e de música via métodos de projeção
• Beneficiário: Fabiano Petronetto Do Carmo
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 14/09546-9 - Aplicações de SPH em processamento geométrico e animação de escoamento de fluidos
• Beneficiário: Afonso Paiva Neto
• Modalidade de apoio: Auxílio à Pesquisa - Regular