Feels on Hicks St.

The first EP from Feels on Hicks St. is out on SoundCloud. Info Recorded at Playground Studios in just a few live takes, Open to Vocals is an instrumental EP that showcases a range of styles clustered around the periphery of jazz and funk. The EP features three original songs as well as two arrangements of popular songs. Songs Up in the A... Read more 11 Nov 2020 - less than 1 minute read

Keep Stanford Wrestling

Stanford University recently announced its intention to eliminate its varsity wrestling program after 104 years of history. The coaching staff and current athletes are committed to finding a better resolution of the university’s concerns regarding its varsity sports programs, and are actively engaged in an effort to keep the wrestling team going... Read more 02 Aug 2020 - 5 minute read

The Laplace transform for computing integrals over the probability simplex

This post concerns taking integrals over the \(K\)-probability simplex, defined as \[\Delta_K = \left\{\boldsymbol{\theta} \in \mathbb{R}^K : \boldsymbol{\theta} \geq 0, \boldsymbol{\theta}^\top \mathbf{1} = 1\right\}\] In general, simplex integrals are difficult to evaluate. However, product functions of the form \[\prod_{k=1}^K f_k (\theta_... Read more 29 Jun 2020 - 4 minute read

Opportunities and challenges for analyzing cancer data at the inter- and intra-institutional levels

An original report written with collaborators Julie Wu and Lester Mackey was released today. Find the abstract below and read more about the genotypic differences between primary and metastatic samples of breast, colon, and lung tumor samples at JCO Precision Oncology. Abstract Purpose Our goal was to identify the opportunities and challenges... Read more 25 Jun 2020 - 1 minute read

Minimum relative entropy and Generalized Bayes

Define the relative entropy of a probability distribution \(\nu\) with respect to reference measure \(\rho\) or Kullback-Leibler divergence of \(\nu\) to \(\rho\) as \[D_{\text{KL}}(\nu || \rho) = - \mathrm{E}_\nu \left[ \log \frac{d\rho}{d \nu} (\theta) \right]\] The usual Bayesian update can be seen as an unconstrained minimization problem ... Read more 01 Jun 2020 - 4 minute read