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Large language models (LLMs) work by manipulating the geometry of input embedding vectors over multiple layers. Here, we ask: how are the input vocabulary representations of language models structured, and how and when does this structure…

Computation and Language · Computer Science 2025-10-10 Isabel Papadimitriou , Jacob Prince

How large language models (LLMs) align with the neural representation and computation of human language is a central question in cognitive science. Using representational geometry as a mechanistic lens, we addressed this by tracking…

Neurons and Cognition · Quantitative Biology 2026-02-10 Yixuan Liu , Zhiyuan Ma , Likai Tang , Runmin Gan , Xinche Zhang , Jinhao Li , Chao Xie , Sen Song

Since their introduction, Transformer architectures have dominated Natural Language Processing (NLP). However, recent research has highlighted an inherent anisotropy phenomenon in these models, presenting a significant challenge to their…

Computation and Language · Computer Science 2026-04-13 Raphael Bernas , Fanny Jourdan , Antonin Poché , Céline Hudelot

Self-supervised pre-training, where large corpora of unlabeled data are used to learn representations for downstream fine-tuning, has become a cornerstone of modern machine learning. While a growing body of theoretical work has begun to…

Machine Learning · Computer Science 2026-03-31 Mohammad Tinati , Stephen Tu

Despite the increasing prevalence of large language models (LLMs), we still have a limited understanding of how their representational spaces are structured. This limits our ability to interpret how and what they learn or relate them to…

We investigate the geometry of predictive information across the layers of large language models (LLMs). We repurpose representation lenses-learned affine maps trained to predict the next token from intermediate residual streams-as…

Machine Learning · Computer Science 2026-05-12 Gianfranco Lombardo , Giuseppe Trimigno , Stefano Cagnoni

Large language models are powerful but costly. We ask whether meta-learning can make the pretraining of small language models not only better but also more interpretable. We integrate first-order MAML with subset-masked LM pretraining,…

Computation and Language · Computer Science 2025-11-10 David Demitri Africa , Yuval Weiss , Paula Buttery , Richard Diehl Martinez

Post-training fundamentally alters the behavior of large language models (LLMs), yet its impact on the internal parameter space remains poorly understood. In this work, we conduct a systematic singular value decomposition (SVD) analysis of…

Machine Learning · Computer Science 2026-01-30 Xinyu He , Xianghui Cao

Geometric properties of Transformer weights, particularly the unembedding matrix, have been widely useful in language model interpretability research. Yet, their utility for estimating downstream performance remains unclear. In this work,…

Computation and Language · Computer Science 2026-02-25 Atharva Kulkarni , Jacob Mitchell Springer , Arjun Subramonian , Swabha Swayamdipta

Large language models (LLMs) trained via pretraining and supervised fine-tuning (SFT) can still produce harmful and misaligned outputs, or struggle in domains like math and coding. Reinforcement learning (RL)-based post-training methods,…

Computation and Language · Computer Science 2026-05-19 Zhichao Wang , Kiran Ramnath , Bin Bi , Shiva Kumar Pentyala , Sougata Chaudhuri , Shubham Mehrotra , Zixu , Zhu , Xiang-Bo Mao , Sitaram Asur , Na , Cheng

How large language models internally represent high-level behaviors is a core interpretability question with direct relevance to AI safety: it determines what we can detect, audit, or intervene on. Recent work has shown that traits such as…

Computation and Language · Computer Science 2026-05-14 Viktor Moskvoretskii , Dominik Glandorf , Jorge Medina Moreira , Tanja Käser , Robert West

Pre-training large language models is dominated by the memory cost of storing full-rank weights, gradients, and optimizer states. Low-rank pre-training has emerged to address this, and the space of methods has grown rapidly. A central…

Machine Learning · Computer Science 2026-05-20 Namrata Shivagunde , Vijeta Deshpande , Sherin Muckatira , Anna Rumshisky

Scaling up language models has led to unprecedented performance gains, but little is understood about how the training dynamics change as models get larger. How do language models of different sizes learn during pre-training? Why do larger…

Computation and Language · Computer Science 2023-05-31 Mengzhou Xia , Mikel Artetxe , Chunting Zhou , Xi Victoria Lin , Ramakanth Pasunuru , Danqi Chen , Luke Zettlemoyer , Ves Stoyanov

Language models demonstrate remarkable abilities when pre-trained on large text corpora and fine-tuned for specific tasks, but how and why pre-training shapes the success of the final model remains poorly understood. Notably, although…

In this study, we present an investigation into the anisotropy dynamics and intrinsic dimension of embeddings in transformer architectures, focusing on the dichotomy between encoders and decoders. Our findings reveal that the anisotropy…

Computation and Language · Computer Science 2024-02-27 Anton Razzhigaev , Matvey Mikhalchuk , Elizaveta Goncharova , Ivan Oseledets , Denis Dimitrov , Andrey Kuznetsov

Understanding what defines a good representation in large language models (LLMs) is fundamental to both theoretical understanding and practical applications. In this paper, we investigate the quality of intermediate representations in…

Machine Learning · Computer Science 2024-12-13 Oscar Skean , Md Rifat Arefin , Yann LeCun , Ravid Shwartz-Ziv

Neural networks gain capabilities during training, but the internal changes that precede capability acquisition are not well understood. In particular, the relationship between geometric change and behavioral change, and the effect of task…

Machine Learning · Computer Science 2026-04-03 Jayadev Billa

Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

Machine Learning · Computer Science 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

Large transformers are powerful architectures used for self-supervised data analysis across various data types, including protein sequences, images, and text. In these models, the semantic structure of the dataset emerges from a sequence of…

Machine Learning · Computer Science 2023-10-31 Lucrezia Valeriani , Diego Doimo , Francesca Cuturello , Alessandro Laio , Alessio Ansuini , Alberto Cazzaniga

Pretraining methods are typically compared by evaluating the accuracy of linear classifiers, transfer learning performance, or visually inspecting the representation manifold's (RM) lower-dimensional projections. We show that the…

Machine Learning · Computer Science 2022-05-17 Ruan van der Merwe , Gregory Newman , Etienne Barnard
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