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arXiv · 1712.09471

Using Ramsey theory to measure unavoidable spurious correlations in Big Data

Micheal Pawliuk·Michael Alexander Waddell
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Abstract

Given a dataset we quantify how many patterns must always exist in the dataset. Formally this is done through the lens of Ramsey theory of graphs, and a quantitative bound known as Goodman's theorem. Combining statistical tools with Ramsey theory of graphs gives a nuanced understanding of how far away a dataset is from random, and what qualifies as a meaningful pattern. This method is applied to a dataset of repeated voters in the 1984 US congress, to quantify how homogeneous a subset of congressional voters is. We also measure how transitive a subset of voters is. Statistical Ramsey theory is also used with global economic trading data to provide evidence that global markets are quite transitive.

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Micheal Pawliuk, Michael Alexander Waddell. 2017-12-27. Using Ramsey theory to measure unavoidable spurious correlations in Big Data. https://arxiv.org/abs/1712.09471

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