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Boundary detection across a spatial point process by a continuous variable

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Hello all - I'm new to machine learning although I have lots of experience doing prediction with OLS and Logistic regression (ie. cross-validaiton, out-of-sample prediction etc.) as well a bit of clustering (k-means mostly)

Ideally I'm looking for some advice on methods (maybe even an R package) on detecting boundaries across a spatial point process using a continuous outcome. The data is correlated in space but very noisy. There are 2 ways I'd like to ask the question - the second likely more difficult than the first.

  1. Imagine I had the income of every household (and the xy coordinates of their house) in a city and wanted to cluster these events without an a priori notion of how many clusters exist. Again the data are noisy. What algorithms should I look at? Are any specifically well-suited to spatial data?

  2. Imagine I took this same data where each house knew which street it was closest too. I would like to ask which streets exhibit the greatest statistically significant income differences on either side. What algorithms might be useful for this approach. I realize such a hypothesis test is likely not the best way to approach this problem but it seems intuitive enough for a lay person.

Thanks for the advice.

submitted by windpipe123
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