7 papers
When Attention Beats Fourier: Multi-Scale Transformers for PDE Solving on Irregular Domains
Brandon Yee, Pairie Koh, Jack Rodriguez +1
We study the problem of \emph{architecture selection} for deep learning models trained to solve partial differential equations (PDEs), asking when transformer-based architectures w…
PI-JEPA: Label-Free Surrogate Pretraining for Coupled Multiphysics Simulation via Operator-Split Latent Prediction
Brandon Yee, Pairie Koh
Reservoir simulation workflows face a fundamental data asymmetry: input parameter fields (geostatistical permeability realizations, porosity distributions) are free to generate in…
Beam-Plasma Collective Oscillations in Intense Charged-Particle Beams: Dielectric Response Theory, Langmuir Wave Dispersion, and Unsupervised Detection via Prometheus
Brandon Yee, Wilson Collins, Michael Iofin +1
We develop a theoretical and computational framework for beam-plasma collective oscillations in intense charged-particle beams at intermediate energies (10-100 MeV). In Part I, we…
Benchmarking Emergent Coordination in Large-Scale LLM Populations: An Evaluation Framework on the MoltBook Archive
Brandon Yee, Pairie Koh
As multi-agent Large Language Model (LLM) systems scale, evaluating their emergent coordination dynamics becomes increasingly critical. However, current evaluation paradigms-focuse…
Geodesic Semantic Search: Cartographic Navigation of Citation Graphs with Learned Local Riemannian Maps
Brandon Yee, Lucas Wang, Kundana Kommini
We present Geodesic Semantic Search (GSS), a retrieval system that learns node-specific Riemannian metrics on citation graphs to enable geometry-aware semantic search. Unlike stand…
Unsupervised Discovery of Intermediate Phase Order in the Frustrated - Heisenberg Model via Prometheus Framework
Brandon Yee, Wilson Collins, Maximilian Rutkowski
The spin- - Heisenberg model on the square lattice exhibits a debated intermediate phase between Néel antiferromagnetic and stripe ordered regimes, with competing t…