Research

Fractal basins thumbnail

Fractal basins trap latent reasoning

J. Lai, A. Bao, J. Quinn, W. Gilpin
Under review

Reasoning models exhibit transient chaos; fractal basin boundaries in latent space help explain why harder tasks demand longer reasoning traces.

[paper]
Transfer operators thumbnail

Transformers for dynamical systems learn transfer operators in-context

A. Bao, J. Lai, W. Gilpin
Under review

A minimal transformer setting showing that in-context forecasting of dynamical systems corresponds to learning transfer operators.

[paper]
Universal redundancies thumbnail

Universal Redundancies in Time Series Foundation Models

A. Bao, V. H. Vattikuti, J. Lai, W. Gilpin
ICML 2026 Spotlight

Mechanistic analysis of leading TSFMs finds redundant intermediate components, with tools for ablation and direct logit attribution.

[paper] [code]
Panda thumbnail

Panda: A pretrained forecast model for universal representation of chaotic dynamics

J. Lai, A. Bao, W. Gilpin
ICLR 2026

A novel chaotic systems dataset and a framework for scaling patch-based forecast models on nonlinear dynamics and chaos.

[paper] [code]