Research

My research spans mechanistic interpretability and theoretical and scientific machine learning.

Overview

At Stanford, I am advised by Eric Darve in the DASH Lab, where I work on mechanistic interpretability: reverse-engineering the internal mechanisms of neural networks to understand how they represent information and arrive at their outputs.

Previously at Brown, I worked in the CRUNCH group with Zhongqiang Zhang and George Em Karniadakis on neural operators for differential equations, including transformer-based operator learning in finite-regularity settings.

Publications

Do Models Read What They Write? Causal Registers in Scratchpad Reasoning

B. Shih, J. Winnicki, and E. Darve

arXiv preprint, arXiv:2606.29522, 2026.

arXivPDF

Transformers as Neural Operators for Solutions of Differential Equations with Finite Regularity

B. Shih, A. Peyvan, Z. Zhang, and G. E. Karniadakis

Computer Methods in Applied Mechanics and Engineering, Vol. 434, Article 117560, 2025.

arXivDOIJournal

Bachelor's thesis

Temporal Learning Capacity of Transformers in Non-Markovian Dynamical Systems

B. Shih

Senior Honors Thesis, Brown University, 2024.

PDFSlides

Research experience

Mechanistic interpretability

Current research in the DASH Lab at Stanford, advised by Eric Darve. I work on mechanistic interpretability — reverse-engineering the internal computations of neural networks — across several directions in how models represent information and produce their behavior.

Neural operators and scientific machine learning

Previous work at Brown on neural operators for differential equations with the CRUNCH group, advised by Zhongqiang Zhang and George Em Karniadakis.

GWAS of neurodegenerative diseases

Earlier research on genome-wide association studies of neurodegenerative diseases with Dr. Li-San Wang at the University of Pennsylvania Wang Lab.

Talks