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INTERACTIVE VISUALIZATION OF PROBABILITY AND CUMULATIVE DENSITY FUNCTIONS

机译:概率和累积密度函数的交互可视化

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摘要

The 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.
机译:概率密度函数(PDF)及其对应的累积密度函数(CDF),提供了对随机过程或场的特征的直接统计了解。通常显示为直方图,可以推断出特定事件发生的概率。当检查某个二维域中的一个字段时,在每个点上都有函数值的PDF可用,要评估该字段中存在的全局(随机)特征是一项挑战。在本文中,我们提供了一个可视化系统,该系统允许用户检查二维数据集,其中在域内的任何位置都可以使用PDF(或CDF)信息。该工具提供了一个轮廓显示,显示了用户选择的PDF与ansatz PDF之间的范数差异,此外,该工具还允许用户在任何特定位置交互检查PDF。提供了该工具的规范示例,以帮助指导读者将随机信息映射到视觉线索,并说明使用该工具检查由电生理领域内完成的不确定性量化练习生成的数据。

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