Winston Sullivan
Winston Sullivan
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Varational Fluid Mechanics
Some ramblings of mine while trying to study the principle of least action in terms of fluid mechanics.
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Path Integral Molecular Dynamics Tutorial
A tutorial on the theory and implementation of quantum simulation of many body systems.
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MNIST Variational Autoencoder
A simple variational autoencoder trained on MNIST. Theory and code included.
Clustering Algorithm Demo
This was a class project I made for CS4964 Computational Geometry. It walks through the theory and code behind 4 popular clustering algorithms.
SOP For Performig BLR in Python
A standard operating procedure for performing Bayesian linear regresssion, in python, from scratch.
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A Gaussian Process Classifier Made From Scratch, in PyTorch
This explains how to create a GP Classifier with all the theory and code in PyTorch
Bayesian Optimization of a Molecular Simulation of H₂O
Using Local Gaussian Process surrogates and Hamiltonian Monte Carlo to find the best classical water model that reproduces experimental scattering measurements.
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Reproduction of Condensed Phase Phenomena with TIP4P/2005 Water
Reproducing the thermodynamic phase behavior of the TIP4P/2005 water model, including density, compressibility, self-diffusion, RDF, heat capacity, and solid-liquid coexistence.
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Boltzmann Sampling with Stochastic Interpolants
Using deep generative models to sample Boltzmann distributions for molecular systems, addressing the rare event problem in molecular dynamics.
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The Use Of DFT in Catalyst Development
A paper for a course I did in catalyst development and characterization. The class was wholy untheoretical and utterly useless for any computational development. I scratched the itch by making this.
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