Search Results for author: Stephen G. Walker

Found 6 papers, 0 papers with code

Bayesian Consistency with the Supremum Metric

no code implementations10 Jan 2022 Nhat Ho, Stephen G. Walker

We present simple conditions for Bayesian consistency in the supremum metric.

On Integral Theorems and their Statistical Properties

no code implementations22 Jul 2021 Nhat Ho, Stephen G. Walker

We introduce a class of integral theorems based on cyclic functions and Riemann sums approximating integrals.

Statistical Analysis from the Fourier Integral Theorem

no code implementations11 Jun 2021 Nhat Ho, Stephen G. Walker

Taking the Fourier integral theorem as our starting point, in this paper we focus on natural Monte Carlo and fully nonparametric estimators of multivariate distributions and conditional distribution functions.

A Reinforcement Learning Based Approach to Play Calling in Football

no code implementations11 Mar 2021 Preston Biro, Stephen G. Walker

With the vast amount of data collected on football and the growth of computing abilities, many games involving decision choices can be optimized.

reinforcement-learning Reinforcement Learning (RL)

Multivariate Smoothing via the Fourier Integral Theorem and Fourier Kernel

no code implementations28 Dec 2020 Nhat Ho, Stephen G. Walker

Starting with the Fourier integral theorem, we present natural Monte Carlo estimators of multivariate functions including densities, mixing densities, transition densities, regression functions, and the search for modes of multivariate density functions (modal regression).

regression

Testing to distinguish measures on metric spaces

no code implementations4 Feb 2018 Andrew J. Blumberg, Prithwish Bhaumik, Stephen G. Walker

We study the problem of distinguishing between two distributions on a metric space; i. e., given metric measure spaces $({\mathbb X}, d, \mu_1)$ and $({\mathbb X}, d, \mu_2)$, we are interested in the problem of determining from finite data whether or not $\mu_1$ is $\mu_2$.

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