activity
20242026
most citedLLMs learn governing principles of dynamical systems, revealing an in-context neural scaling law

6 citations · 6 across the 7 of their papers we have counts for

collaborators

9 papers

cs.CL2026

Causal and Interpretable Structures in LLM Compositional Tasks

Gurbir Arora, Toni J. B. Liu, Jiajun Bao +2

Large language models are able to solve tasks whose answers depend on not only individual input tokens, but also on relations among them. How is such relational information represe…

cs.LG2026

The Geometry of Ignorance: LLMs Know When to Temper Bayesian Priors

Toni J. B. Liu, Jiajun Bao, Yizhou Liu +4

What does a language model predict when it has few clues? The answer lurks in its unembedding geometry: a single direction of the unembedding matrix encodes the unigram distributio…

cs.LG2026

A Graph Signal Processing Perspective on Numerical Sequence Representations in LLM In-Context Learning

Jiajun Bao, Zihao Qi, Toni J. B. Liu +4

Pretrained large language models (LLMs) have demonstrated in-context learning (ICL) capabilities for numerical inference over sequences serialized as text. Prior work has identifie…

cs.CL2026

Jacobian Scopes: token-level causal attributions in LLMs

Toni J. B. Liu, Baran Zadeoğlu, Nicolas Boullé +3

Large language models (LLMs) make next-token predictions based on clues present in their context, such as semantic descriptions and in-context examples. Yet, elucidating which prio…

cs.LG2025

Text-Trained LLMs Can Zero-Shot Extrapolate PDE Dynamics, Revealing a Three-Stage In-Context Learning Mechanism

Jiajun Bao, Nicolas Boullé, Toni J. B. Liu +2

Large language models (LLMs) have demonstrated emergent in-context learning (ICL) capabilities across a range of tasks, including zero-shot time-series forecasting. We show that te…

cs.CL2025

What's in a prompt? Language models encode literary style in prompt embeddings

Raphaël Sarfati, Haley Moller, Toni J. B. Liu +2

Large language models use high-dimensional latent spaces to encode and process textual information. Much work has investigated how the conceptual content of words translates into g…

cs.LG2024

Density estimation with LLMs: a geometric investigation of in-context learning trajectories

Toni J. B. Liu, Nicolas Boullé, Raphaël Sarfati +1

Large language models (LLMs) demonstrate remarkable emergent abilities to perform in-context learning across various tasks, including time series forecasting. This work investigate…

cs.LG2024

Lines of Thought in Large Language Models

Raphaël Sarfati, Toni J. B. Liu, Nicolas Boullé +1

Large Language Models achieve next-token prediction by transporting a vectorized piece of text (prompt) across an accompanying embedding space under the action of successive transf…

cs.LG2024★ 6 cited

LLMs learn governing principles of dynamical systems, revealing an in-context neural scaling law

Toni J. B. Liu, Nicolas Boullé, Raphaël Sarfati +1

Pretrained large language models (LLMs) are surprisingly effective at performing zero-shot tasks, including time-series forecasting. However, understanding the mechanisms behind su…