Deep Learning

Auto-Encoding Variational Bayes (VAE Paper Summary)

Summary of Kingma & Welling's foundational VAE paper introducing the reparameterization trick and variational …...

Deep Learning

Importance Weighted Autoencoders (IWAE Paper Summary)

Summary of Burda, Grosse & Salakhutdinov's ICLR 2016 paper introducing Importance Weighted Autoencoders for tighter …...

Generative Modeling

Importance Weighted Autoencoders: Beyond the Standard VAE

Learn the crucial difference between multi-sample VAEs and Importance Weighted Autoencoders (IWAEs). Explore how …

Computational Chemistry
Müller-Brown Potential Energy Surface showing the three minima and two saddle points

Müller-Brown Potential

The Müller-Brown potential: a classic two-dimensional analytical benchmark for testing optimization algorithms, reaction …...

Computational Chemistry
Müller-Brown Potential Energy Surface showing the three minima and two saddle points

Implementing the Müller-Brown Potential in PyTorch

Guide to implementing the Müller-Brown potential in PyTorch, comparing analytical vs automatic differentiation with …

Computational Chemistry

Müller-Brown Basin MA: Langevin Dynamics Simulation

Langevin dynamics simulation showing particle motion in the deep reactant minimum (Basin MA) of the Müller-Brown …

Computational Chemistry

Müller-Brown Basin MB: Langevin Dynamics Simulation

Langevin dynamics simulation showing particle motion in the product minimum (Basin MB) of the Müller-Brown potential …

Computational Chemistry
Müller-Brown Potential Energy Surface showing the three minima and two saddle points

Müller-Brown Potential in PyTorch

PyTorch implementation of the Müller-Brown potential with performance optimizations, MD simulations, and analytical vs …...

Computational Chemistry

Müller-Brown Transition: Langevin Dynamics Simulation

Extended Langevin dynamics simulation showing particle transitions between different basins of the Müller-Brown …

Generative Modeling
Variational Autoencoder architecture diagram showing encoder, latent space, and decoder

Modern PyTorch Techniques for VAEs: A Hands-On Tutorial

A comprehensive guide to implementing Variational Autoencoders (VAEs) in PyTorch. Covers the ELBO objective, …

Natural Language Processing

Analytical Model of Word2Vec and GloVe Statistics

Analytical model of Word2Vec and GloVe statistics. First analytical solution to Word2Vec's softmax skip-gram with bias …...

Natural Language Processing

EigenNoise: Data-Free Word Vector Initialization

Investigation into EigenNoise, a data-free initialization scheme for word vectors that approaches pre-trained model …...