Planetary Science
Orbital diagram showing chaotic planetary trajectories

Chaotic Evolution of the Solar System (Sussman 1992)

Sussman and Wisdom’s 1992 study used the Supercomputer Toolkit and symplectic mapping to integrate the entire Solar System for 100 million years, confirming chaotic behavior with an exponential divergence timescale of ~4 million years and demonstrating that long-term planetary motion is fundamentally unpredictable.

Computational Chemistry
Chemical Literature Data Extraction: The CLiDE Project

Chemical Literature Data Extraction: The CLiDE Project

The CLiDE project presents a foundational architecture for Optical Chemical Structure Recognition (OCSR). It details a three-phase pipeline to convert bitmapped journal pages into chemically significant connection tables, handling complex features like stereochemistry.

Computational Chemistry
Visualization of Gabor wavelets and Kohonen networks for chemical image classification

Chemical Machine Vision

This 2003 paper introduces a machine vision approach for extracting chemical metadata from raster images. By using Gabor wavelets for feature extraction and Kohonen networks for classification, it distinguishes between chemical and non-chemical images, as well as ring and non-ring systems, without requiring high-resolution inputs.

Computational Chemistry
Graph of the Lennard-Jones 12-6 potential showing the characteristic attractive and repulsive forces

Dynamical Corrections to TST for Surface Diffusion

This paper bridges Molecular Dynamics and Transition State Theory by applying a dynamical corrections formalism to surface diffusion, identifying a low-temperature bounce-back mechanism causing non-Arrhenius behavior.

Computational Biology
Four types of protein folding energy landscapes from left to right: smooth funnel, rugged funnel with kinetic traps, moat funnel, and champagne glass funnel

Funnels, Pathways, and Energy Landscapes of Protein Folding

This paper resolves Levinthal’s paradox by replacing the single-pathway view with a statistical energy landscape approach. It introduces the concepts of the folding funnel, the glass transition in proteins, and the ‘stability gap’ as a design principle for foldable sequences.

Computational Chemistry
Graph Perception for Chemical Structure OCR

Graph Perception for Chemical Structure OCR

This 1990 paper presents an early OCR pipeline for converting hand-drawn or printed chemical structures into connectivity tables. It introduces novel sweeping algorithms for graph perception and a matrix-based feature extraction method for character recognition.

Machine Learning Fundamentals
Visualization of inverse problem showing one input mapping to multiple valid outputs

Mixture Density Networks: Modeling Multimodal Distributions

A 1994 paper identifying why standard least-squares networks fail at inverse problems (multi-valued mappings). It introduces the Mixture Density Network (MDN), which predicts the parameters of a Gaussian Mixture Model to capture the full conditional probability density.

Computational Chemistry
Early optical recognition system converts scanned chemical diagrams to connection tables

Optical Recognition of Chemical Graphics

This paper describes an early prototype system that digitizes chemical structure diagrams from scanned documents. It employs a multi-stage pipeline involving convex bounding polygon extraction, vectorization, and rule-based heuristics to generate MDL Molfiles.

Computational Chemistry
Five-stage pipeline for reconstructing chemical molecules from raster images

Reconstruction of Chemical Molecules from Images

This methodological paper proposes a comprehensive pipeline to digitize chemical structure images. It achieves 97% reconstruction accuracy on benchmarks by combining a topology-preserving vectorizer with a chemical knowledge validation module.

Scientific Computing
Three-dimensional Brownian motion trajectory showing random walk behavior

Second-Order Langevin Equation for Field Simulations

Proposes the Hyperbolic Algorithm for Euclidean field theory simulations. By adding a second-order fictitious time derivative to the Langevin equation, the method reduces systematic errors from O(ε) down to O(ε²).

Computational Social Science
Hierarchical Ideal Point Topic Model visualization showing political polarization

Tea Party in the House: Legislative Ideology via HIPTM

This paper introduces the Hierarchical Ideal Point Topic Model (HIPTM) to analyze the 112th U.S. Congress. By jointly modeling votes and text, it uncovers how Tea Party Republicans and establishment Republicans differ in both voting records and how they frame specific policy issues.

Computational Chemistry
A cobalt sulfate and ethylenediamine mixture being prepared

Mixfile & MInChI: Machine-Readable Mixture Formats

A 2019 format specification introducing two complementary standards for chemical mixtures. Mixfile provides comprehensive mixture descriptions and MInChI provides compact canonical identifiers. This addresses the long-standing lack of standardized machine-readable formats for multi-component chemical systems.