Jordan Bryan

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

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

Smaller \(p\)-values in genomics studies using distilled historical information

New joint work with Peter Hoff is out today. Find the abstract below and read more on 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


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

Estimating signal and noise in linear models

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