y <- (x-3)^3 + 3*x - .25*(x^2 * (x-3)) + rnorm(n=10000, mean=0, sd=3) dat <- data.frame(x = x, y = y) One of our most fundamental goals as data scientists is to produce predictions that are *good*. In ...

Abstract: The Conditional Expectation Function (CEF) is an optimal estimator in real space. Artificial Neural Networks (ANN), as the current state-of-the-art method, lack interpretability. Estimating ...

Proceedings of the American Mathematical Society, Vol. 81, No. 1 (Jan., 1981), pp. 107-110 (4 pages) Let $B$ be a Banach space. It is well known that for every ...

This week sets the stage for the course and introduces how and why Machine Learning (ML) can be integrated into causal inference. Motivate the integration of statistical prediction with causal ...

A generalization of Sliced Inverse Regression to functional regressors was introduced by Ferré and Yao (2003). Here we first address the issue of the identifiability of the Effective Dimension ...