Computational Social Science
Top features for Armed Forces and National Security policy classification showing veterans, defense, military keywords

Classifying Congressional Bills with Machine Learning

We test three ML models on 48K congressional bills to see how well they can predict policy areas from bill text. Results show logistic regression achieves 89% F1 score.

Computational Chemistry
Coulomb matrix heatmap visualization showing molecular structure encoding on logarithmic scale

Coulomb Matrices for Molecular Machine Learning

A practical introduction to Coulomb matrices: how they transform molecular 3D structures into ML features, complete with Python examples and honest assessment of their limitations.

Computational Social Science
Top features for Economics and Public Finance policy classification across Congresses

How Does Congress Actually Work? Data from 15K Bills

Only 2% of congressional bills become law. We analyze 15K bills from 2021-2023 to understand what drives legislative success and failure.

Scientific Computing
Molecular structure alignment showing protein conformations and RMSD calculation

Kabsch Algorithm: NumPy, PyTorch, TensorFlow, and JAX

Learn to align molecular structures and point clouds using the Kabsch algorithm, with differentiable implementations for modern ML frameworks.

Computational Chemistry
Ball model representation of a crystal surface with steps, kinks, adatoms, and vacancies showing various surface features

LAMMPS Tutorial: Copper and Platinum Adatom Diffusion

Step-by-step LAMMPS tutorial for simulating copper and platinum adatom diffusion. Learn surface dynamics simulation, trajectory analysis, and how atomic mass affects diffusion for machine learning datasets.

Scientific Computing
Energy conservation plot showing kinetic, potential, and total energy oscillations for a copper adatom diffusion simulation

Automated Adatom Diffusion Workflow

A complete input-to-analysis workflow for simulating adatom diffusion on FCC metal surfaces using LAMMPS and EAM potentials, providing comparative datasets for copper and platinum that demonstrate how atomic mass and bonding strength affect surface dynamics, with automated Python analysis generating publication-ready visualizations.

Computational Biology
Molecular visualization of a methionine dipeptide structure from MD simulation

Generating Mini-Protein Trajectories with GROMACS

A practical guide to simulating mini-proteins using GROMACS; from alanine dipeptide to tryptophan systems for ML training data generation.

Computational Social Science
Top features for Social Welfare policy classification showing social, poverty, benefits keywords

Congressional Knowledge Graph & Policy Classification

A computational social science project that engineered a custom extraction engine to build a 47,000+ bill knowledge graph from Congress.gov (115th-117th Congresses), creating a novel legislative graph with co-sponsorship networks and establishing an 87% accuracy benchmark for policy area classification now available on Hugging Face.

Computational Chemistry
SELFIES robustness demonstration

SELFIES and the Future of Molecular String Representations

A 2022 perspective paper by Krenn, Aspuru-Guzik, and colleagues reviewing 250 years of chemical notation evolution and proposing 16 concrete research projects to extend SELFIES beyond traditional organic chemistry into polymers, crystals, reactions, and other complex chemical systems where traditional representations break down.

Scientific Computing
Comparison of IQCRNN (Our Method) vs standard Policy Gradient showing training curves, phase portraits, and state trajectories for control tasks

IQCRNN: Certified Stability for Neural Networks

A PyTorch implementation enforcing strict Lyapunov stability guarantees on recurrent neural network controllers through Integral Quadratic Constraints, bridging 1990s robust control theory with modern deep reinforcement learning by solving semidefinite programs inside the gradient descent loop to provide mathematical certificates of safety.

Natural Language Processing
Information Quality Ratio plot showing statistical dependencies decay as window size increases

Analytical Solution to Word2Vec Softmax & Bias Probing

We provide the first analytical solution to Word2Vec’s softmax skip-gram objective, introducing the Independent Frequencies Model and deriving a low-cost, training-free method for measuring semantic bias directly from corpus statistics.

Natural Language Processing
Heatmap visualization of the EigenNoise analytical co-occurrence prior matrix showing word rank relationships

EigenNoise: Data-Free Word Vector Initialization

We develop EigenNoise, a zero-data initialization method for word vectors that synthesizes representations from Zipf’s Law alone, demonstrating competitive performance to GloVe after fine-tuning without requiring any pre-training corpus.