Statistician

Data Scientist

Artifical Intelligence

What humans find easy but computers find hard

Why Now?

What can we do?

\[ \boldsymbol{Y} \sim N(\boldsymbol{X}\boldsymbol{\beta}, \boldsymbol{\Sigma}) \]

Pass vs Rush

Pass vs Rush by Down

Binary Regression

\[ p(y_i=1) = \text{logit}^{-1}(\boldsymbol{X}_i\boldsymbol{\beta}) \]

\[ \text{logit}^{-1}(x) = \frac{e^x}{1+e^x} = \frac{1}{1+e^{-x}} \]

Decision Tree

\[ \hat{f}(x)=\sum_{m=1}^M\hat{c}_mI(x \in R_m) \]

Gradient Boosted Tree

\[ \hat{y}_i^{t} = \sum_{k=1}^t f_k(x_i) = \hat{y}_i^{(t-1)} + f_t(x_i) \]

Neural Network

What We Saw

Anomaly Detection
with
Linear Models

Play-by-Play Analysis
with
Binary Regression - Boosted Trees - Neural Network

Communication Patterns
with
Network Analysis - Matrix Factorization

Thank You

Jared P. Lander