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20242026
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cs.LG2026

Understanding the Emergence of Seemingly Useless Features in Next-Token Predictors

Mark Rofin, Jalal Naghiyev, Michael Hahn

Trained Transformers have been shown to compute abstract features that appear redundant for predicting the immediate next token. We identify which components of the gradient signal…

cs.LG2025

Decomposing Representation Space into Interpretable Subspaces with Unsupervised Learning

Xinting Huang, Michael Hahn

Understanding internal representations of neural models is a core interest of mechanistic interpretability. Due to its large dimensionality, the representation space can encode var…

cs.LG2025

Lower Bounds for Chain-of-Thought Reasoning in Hard-Attention Transformers

Alireza Amiri, Xinting Huang, Mark Rofin +1

Chain-of-thought reasoning and scratchpads have emerged as critical tools for enhancing the computational capabilities of transformers. While theoretical results show that polynomi…

cs.LG2024

InversionView: A General-Purpose Method for Reading Information from Neural Activations

Xinting Huang, Madhur Panwar, Navin Goyal +1

The inner workings of neural networks can be better understood if we can fully decipher the information encoded in neural activations. In this paper, we argue that this information…

cs.LG2024

Why are Sensitive Functions Hard for Transformers?

Michael Hahn, Mark Rofin

Empirical studies have identified a range of learnability biases and limitations of transformers, such as a persistent difficulty in learning to compute simple formal languages suc…