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y predicted values given x #71

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ast972 opened this issue Jan 7, 2023 · 3 comments
Open

y predicted values given x #71

ast972 opened this issue Jan 7, 2023 · 3 comments

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@ast972
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ast972 commented Jan 7, 2023

Good morning all,
I just installed this interesting package, and I find the PPS interesting and well motivated for feature selection. Given a vector y, and a vector x, you tell us whether x has 'explanatory power' relative to y, measured between 0,1. And viceversa. So given any attempt to write a causal model for y, we should somehow consider x.

You are fitting a model behind the scenes, that you choose from a menu of models (and if I understand correctly you focus on the decision tree class). But then, I wonder how can I see the 'predicted' values for y (what econometricians call yhat) given the variables x (what econometricians call 'explanatory variable') for the given sample (y,x). Next would of course be the model 'yhat' for a fresh x, not in the sample.

Perhaps this is buried in the dict output but I couldnt find it. Could you help?

Thank you

Angelo

@8080labs
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8080labs commented Jan 7, 2023 via email

@ast972
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ast972 commented Jan 24, 2023

indeed, when we estimate a correlation rho between two normalized random variables (x,y), we can approximate the conditional expectation of y given x as yhat = rho*x. this is useful in many applications, the most obvious is linear regression. Is there an equivalent in ppscore measure?

@8080labs
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8080labs commented Jan 25, 2023 via email

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