Information Visualization, Nonlinear Dimensionality Reduction and Sampling for Large and Complex Data Sets

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Recent and forthcoming increases in the amount and complexity of astronomy data are creating data sets that are not amenable to the methods of analysis with which astronomers are familiar. Traditional methods are often inadequate not merely because the data sets are too large and too complex to fully be analyzed "manually", but because many conventional algorithms and techniques cannot be scaled up enough to work effectively on the new data sets. It is essential to develop new methods for organization, scientific visualization (as opposed to illustrative visualization) and analysis of heterogeneous, multiresolution data across application domains. Scientific utilization of highly complex and massive data sets poses significant challenges, and calls for some mathematical approaches more advanced than are now generally available. In this paper, we both give an overview of several innovative developments that address these challenges, and describe a few specific examples of algorithms we have developed, as well as the ones we are developing in the course of this ongoing work. These approaches will enhance scientific visualization and data analysis capabilities, thus facilitating astronomical research and enabling discoveries. This work was carried out with partial funding from the National Geospatial-Intelligence Agency University Research Initiative (NURI), grant HM1582-08-1-0019.

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