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

6 citations · 6 across the 16 of their papers we have counts for

collaborators

18 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

What LLM Forecasters Know but Don't Say: Probing Internal Representations for Calibration and Faithfulness

Raphaël Sarfati, Pratyush Ranjan Tiwari, Siddharth Boppana +3

Large language models fine-tuned for forecasting can be accurate yet poorly calibrated, and their chain-of-thought (CoT) reasoning may not faithfully reflect the evidence behind a…

cs.LG2026

Anatomy of Post-Training: Using Interpretability to Characterize Data and Shape the Learning Signal

Leon Bergen, Usha Bhalla, Sidharth Baskaran +14

Language-model post-training is the main stage at which model behavior is shaped, yet it still largely involves optimization of scalar rewards that summarize diverse desiderata. Th…

cs.CL2026

Stories in Space: In-Context Learning Trajectories in Conceptual Belief Space

Eric Bigelow, Raphaël Sarfati, Daniel Wurgaft +5

Large Language Models (LLMs) update their behavior in context, which can be viewed as a form of Bayesian inference. However, the structure of the latent hypothesis space over which…

cs.LG2026

Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behavior

Daniel Wurgaft, Can Rager, Matthew Kowal +13

Neural representations carry rich geometric structure; but does that structure causally shape behavior? To address this question, we intervene along paths through activation space…

cs.AI2026

Arithmetic in the Wild: Llama uses Base-10 Addition to Reason About Cyclic Concepts

Sheridan Feucht, Tal Haklay, Usha Bhalla +9

Does structure in representations imply structure in computation? We study how Llama-3.1-8B reasons over cyclic concepts (e.g., "what month is six months after August?"). Even thou…

cs.CL2026

Reasoning Theater: Disentangling Model Beliefs from Chain-of-Thought

Siddharth Boppana, Annabel Ma, Max Loeffler +5

We provide evidence of performative chain-of-thought (CoT) in reasoning models, where a model becomes strongly confident in its final answer, but continues generating tokens withou…

cs.CL2026

The Shape of Beliefs: Geometry, Dynamics, and Interventions along Representation Manifolds of Language Models' Posteriors

Raphaël Sarfati, Eric Bigelow, Daniel Wurgaft +6

Large language models (LLMs) form implicit beliefs (posteriors over latent variables) from prompts, but we lack a mechanistic account of how these beliefs are encoded in representa…

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…

physics.bio-ph2024

Firefly swarms: What models for what physics?

Raphael Sarfati

What constitutes a "physics of firefly swarms"? In response to a Comment in Nature Reviews Physics, I offer a brief scientific perspective.

cs.CV2024

Tracking and triangulating firefly flashes in field recordings

Raphael Sarfati

Identifying firefly flashes from other bright features in nature images is complicated. I provide a training dataset and trained neural networks for reliable flash classification.…

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…