Computational Chemistry
Chemical structures and molecular representations feeding into a neural network model that processes atomized chemical knowledge

ChemDFM-R: Chemical Reasoner LLM

A 14B-parameter chemical reasoning LLM enhanced with atomized functional group knowledge and mix-sourced distillation …

Machine Learning Fundamentals
Comparison of linear interpolation (teleportation) showing double peaks versus displacement interpolation (transportation) showing smooth single peak

A Convexity Principle for Interacting Gases

Introduces displacement interpolation to prove ground state uniqueness via optimal transport, establishing foundations …

Generative Modeling
Visualization of probability density flow from initial distribution ρ₀ to target distribution ρ₁ over time through space

Building Normalizing Flows with Stochastic Interpolants

A continuous-time normalizing flow using stochastic interpolants and quadratic loss to bypass costly ODE …

Generative Modeling
Visualization comparing Optimal Transport (straight paths) vs Diffusion (curved paths) for Flow Matching

Flow Matching for Generative Modeling

A simulation-free framework for training Continuous Normalizing Flows using Conditional Flow Matching and Optimal …

Generative Modeling
Visualization showing linear interpolation, learned ODE trajectories, and the reflow straightening process for rectified flow

Flow Straight and Fast

A unified ODE-based framework for generative modeling and domain transfer that learns straight paths for fast 1-step …

Machine Learning Fundamentals
Comparison of Residual Network vs ODE Network architectures showing discrete layers versus continuous transformations

Neural Ordinary Differential Equations

Introduces ODE-Nets, a continuous-depth neural network model parameterized by ODEs, enabling constant memory …

Generative Modeling
Denoising Score Matching Intuition - Vectors point from corrupted samples back to clean data, approximating the score

Score Matching and Denoising Autoencoders

Theoretical paper proving the equivalence between training Denoising Autoencoders and performing Score Matching on a …

Computational Chemistry
Embedding energy and effective charge functions for Ni and Pd from the original EAM paper

EAM User Guide: Voter's Handbook Chapter

Comprehensive user guide for the Embedded-Atom Method (EAM), covering theory, potential fitting, and applications to …

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

Mixture Density Networks

Seminal 1994 paper introducing MDNs to model arbitrary conditional probability distributions using neural networks.

Computational Chemistry
Replication of Figure 7 showing stable oscillations in CO oxidation on Pt(110)

Oscillatory CO Oxidation on Pt(110)

A seminal kinetic model using coupled ODEs to explain temporal self-organization and mixed-mode oscillations on platinum …

Computational Chemistry
Carbon monoxide molecule adsorbed on Pt(100) FCC surface in hollow site configuration

Oxidation/Reduction Oscillations on Pt/SiO2

In situ XRD validation of the oxide model driving kinetic rate oscillations in high-pressure CO oxidation on supported …

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

Second-Order Langevin Equation for Field Simulations

Hyperbolic Algorithm adds second-order derivatives to Langevin dynamics, reducing systematic errors to O(ε²) for lattice …