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William C Grisaitis's Projects

algos icon algos

data structures and algorithms (y'all know why)

bayesprism icon bayesprism

A Fully Bayesian Inference of Tumor Microenvironment composition and gene expression

bernoulli-montecarlo icon bernoulli-montecarlo

Given a random process with only two possible outcomes and known chances of either outcome, what is the best way to predict the outcome? Perhaps obviously, the best method is simply always to predict the more probable outcome. But what about other methods, such as making a random guess each time according to the same probabilities of either outcome? In other words, if outcome "A" happens 60% of the time, then how often am I correct if I guess "A" only 60% of the time (and outcome "B" 40% of the time)? The answer is not 60%; indeed, it is less. Analytically, if Prob(outcome="A") = p, and you guess "A" only p*100% of the time, then you'll be correct only (p^2 + (1-p)^2) * 100% of the time. For any p other than 0.5, this method is less accurate than simply choosing "A" every time. This simple fact is demonstrated by this mini-monte carlo simulation.

dotfiles icon dotfiles

My dotfiles managed as a git repo in $HOME

dotfiles-1 icon dotfiles-1

My macOS environment: zsh, Git, Visual Studio Code, etc.

gcsfuse icon gcsfuse

A user-space file system for interacting with Google Cloud Storage

geoopt icon geoopt

Riemannian Adaptive Optimization Methods with pytorch optim

geoparse icon geoparse

Python library to access Gene Expression Omnibus Database (GEO)

gitignore icon gitignore

The largest collection of useful .gitignore templates

jax icon jax

Composable transformations of Python+NumPy programs: differentiate, vectorize, JIT to GPU/TPU, and more

julia_set_fractal icon julia_set_fractal

The Julia Set Fractal generated and animated with julia. Benchmarked against Python.

jupyter-book icon jupyter-book

Create beautiful, publication-quality books and documents from computational content.

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