INTERACTIVE VISUALIZATION OF PROBABILITY AND CUMULATIVE DENSITY FUNCTIONS
KAUST Grant NumberKUS-C1-016-04
Permanent link to this recordhttp://hdl.handle.net/10754/598648
MetadataShow full item record
AbstractThe probability density function (PDF), and its corresponding cumulative density function (CDF), provide direct statistical insight into the characterization of a random process or field. Typically displayed as a histogram, one can infer probabilities of the occurrence of particular events. When examining a field over some two-dimensional domain in which at each point a PDF of the function values is available, it is challenging to assess the global (stochastic) features present within the field. In this paper, we present a visualization system that allows the user to examine two-dimensional data sets in which PDF (or CDF) information is available at any position within the domain. The tool provides a contour display showing the normed difference between the PDFs and an ansatz PDF selected by the user and, furthermore, allows the user to interactively examine the PDF at any particular position. Canonical examples of the tool are provided to help guide the reader into the mapping of stochastic information to visual cues along with a description of the use of the tool for examining data generated from an uncertainty quantification exercise accomplished within the field of electrophysiology.
CitationPotter K, Kirby RM, Xiu D, Johnson CR (2012) INTERACTIVE VISUALIZATION OF PROBABILITY AND CUMULATIVE DENSITY FUNCTIONS. International Journal for Uncertainty Quantification 2: 397–412. Available: http://dx.doi.org/10.1615/Int.J.UncertaintyQuantification.2012004074.
SponsorsThis is a collaborative research project based on work supported in part by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST), and supported under NSF IIS-0914564 (R.M.K.) and NSF IIS-0914447 (D.X.) and through DOE NETL DE-EE0004449 (C.R.J./R.M.K.) and NIH 2P41 RR0112553-12 (C.R.J.). Infrastructure support provided through NSF-IIS-0751152.
PubMed Central IDPMC3609671
CollectionsPublications Acknowledging KAUST Support
- Empirical and quadrature approximation of acoustic field and array response probability density functions.
- Authors: Hayward TJ, Oba RM
- Issue date: 2013 Jul
- Comparison of parzen density and frequency histogram as estimators of probability density functions.
- Authors: Glavinović MI
- Issue date: 1996 Nov-Dec
- A stable approach based on asymptotic space integration for moment-independent uncertainty importance measure.
- Authors: Xu X, Lu Z, Luo X
- Issue date: 2014 Feb
- Segmentation of stochastic images with a stochastic random walker method.
- Authors: Pätz T, Preusser T
- Issue date: 2012 May
- Time-dependent probability density function in cubic stochastic processes.
- Authors: Kim EJ, Hollerbach R
- Issue date: 2016 Nov