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

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

New joint work with Peter Hoff is out today. Find the abstract below and read more on arXiv.org about how historical information can power more discoveries in genomics studies. Abstract: Medical research institutions have generated massive amounts of biological data by genetically profiling hundreds of cancer cell lines. In parallel, academic ... Read more 20 Apr 2020 - 1 minute read

Announcing the creation of a new SoundCloud profile. Tracks will be posted sporadically, with the hope of improvement in quality as time goes on. Instruments: Bass Trumpet Keyboard + Ableton libraries, packs and plugins Equipment: Ableton Live 10 Focusite Scarlett Solo Neewer NW-700 microphone Akai APC Key 25 Idols: Pu... Read more 12 Mar 2020 - less than 1 minute read

Let \(\mathbf{Y} \in \mathbb{R}^n\) and \(\boldsymbol{\beta} \in \mathbb{R}^p\) and consider the model \[\begin{aligned} \mathbf{Y} | \boldsymbol{\beta} &\sim N(\mathbf{X} \boldsymbol{\beta}, \tau^2 \mathbf{I}) \\ \boldsymbol{\beta} &\sim N(0, \psi^2 \mathbf{I}) \end{aligned}\] The parameters \(\psi^2\) and \(\tau^2\) represent... Read more 24 Feb 2020 - 3 minute read