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cs.LG2026

Induction Heads Interpolate N-Grams

Francesco D'Angelo, Oguz Kaan Yuksel, Swathi Shree Narashiman +1

Induction heads are attention circuits believed to underlie in-context learning in transformers, yet a precise characterization of the estimators they implement remains elusive. We…

cs.LG2026

Learning What to Forget: Improving LLM Unlearning via Learned Token-Level Importance

Gizem Yüce, Giorgos Nikolaou, Nicolas Flammarion

Machine unlearning aims to remove targeted knowledge from a trained model while preserving its general capabilities. For autoregressive language models, not all tokens in a forget…

cs.LG2026

Transformers Learn Latent Mixture Models In-Context via Mirror Descent

Francesco D'Angelo, Nicolas Flammarion

Sequence modelling requires determining which past tokens are causally relevant from the context and their importance: a process inherent to the attention layers in transformers, y…

cs.LG2026

(How) Learning Rates Regulate Catastrophic Overtraining

Mark Rofin, Aditya Varre, Nicolas Flammarion

Supervised fine-tuning (SFT) is a common first stage of LLM post-training, teaching the model to follow instructions and shaping its behavior as a helpful assistant. At the same ti…

cs.LG2026

Gradient Flow Polarizes Softmax Outputs towards Low-Entropy Solutions

Aditya Varre, Mark Rofin, Nicolas Flammarion

Understanding the intricate non-convex training dynamics of softmax-based models is crucial for explaining the empirical success of transformers. In this article, we analyze the gr…

cs.LG2026

Incremental Learning of Sparse Attention Patterns in Transformers

Oğuz Kaan Yüksel, Rodrigo Alvarez Lucendo, Nicolas Flammarion

This paper studies simple transformers trained on a high-order Markov chain, where the model must incorporate information from multiple past positions, each with different statisti…

cs.LG2025

Exact Learning of Arithmetic with Differentiable Agents

Hristo Papazov, Francesco D'Angelo, Nicolas Flammarion

We explore the possibility of exact algorithmic learning with gradient-based methods and introduce a differentiable framework capable of strong length generalization on arithmetic…

cs.LG2025

Learning In-context n-grams with Transformers: Sub-n-grams Are Near-stationary Points

Aditya Varre, Gizem Yüce, Nicolas Flammarion

Motivated by empirical observations of prolonged plateaus and stage-wise progression during training, we investigate the loss landscape of transformer models trained on in-context…

cs.LG2025

Learning Algorithms in the Limit

Hristo Papazov, Nicolas Flammarion

This paper studies the problem of learning computable functions in the limit by extending Gold's inductive inference framework to incorporate \textit{computational observations} an…