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The \textit{local learning coefficient} (LLC) is a principled way of quantifying model complexity, originally derived in the context of Bayesian statistics using singular learning theory (SLT). Several methods are known for numerically…

Machine Learning · Computer Science 2024-10-01 Zach Furman , Edmund Lau

The Local Learning Coefficient (LLC) is introduced as a novel complexity measure for deep neural networks (DNNs). Recognizing the limitations of traditional complexity measures, the LLC leverages Singular Learning Theory (SLT), which has…

Machine Learning · Statistics 2024-10-02 Edmund Lau , Zach Furman , George Wang , Daniel Murfet , Susan Wei

In-context learning (ICL) is a cornerstone of large language model (LLM) functionality, yet its theoretical foundations remain elusive due to the complexity of transformer architectures. In particular, most existing work only theoretically…

Machine Learning · Computer Science 2024-09-18 Siyu Chen , Heejune Sheen , Tianhao Wang , Zhuoran Yang

Large language models (LLMs) have demonstrated remarkable proficiency in in-context learning (ICL), where models adapt to new tasks through example-based prompts without requiring parameter updates. However, understanding how tasks are…

Computation and Language · Computer Science 2025-11-11 Baturay Saglam , Xinyang Hu , Zhuoran Yang , Dionysis Kalogerias , Amin Karbasi

Attention layers are an integral part of modern end-to-end automatic speech recognition systems, for instance as part of the Transformer or Conformer architecture. Attention is typically multi-headed, where each head has an independent set…

Computation and Language · Computer Science 2022-09-14 Kartik Audhkhasi , Yinghui Huang , Bhuvana Ramabhadran , Pedro J. Moreno

We investigate the mechanistic underpinnings of in-context learning (ICL) in large language models by reconciling two dominant perspectives: the component-level analysis of attention heads and the holistic decomposition of ICL into Task…

Computation and Language · Computer Science 2026-05-04 Haolin Yang , Hakaze Cho , Naoya Inoue

Although large language models (LLMs) have demonstrated remarkable performance, the lack of transparency in their inference logic raises concerns about their trustworthiness. To gain a better understanding of LLMs, we conduct a detailed…

Computation and Language · Computer Science 2024-07-26 Jie Ren , Qipeng Guo , Hang Yan , Dongrui Liu , Quanshi Zhang , Xipeng Qiu , Dahua Lin

Transformer-based Large Language Models (LLMs) are the state-of-the-art for natural language tasks. Recent work has attempted to decode, by reverse engineering the role of linear layers, the internal mechanisms by which LLMs arrive at their…

Computation and Language · Computer Science 2023-10-26 Mansi Sakarvadia , Arham Khan , Aswathy Ajith , Daniel Grzenda , Nathaniel Hudson , André Bauer , Kyle Chard , Ian Foster

Language and vision-language models have shown impressive performance across a wide range of tasks, but their internal mechanisms remain only partly understood. In this work, we study how individual attention heads in text-generative models…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Lorenzo Basile , Valentino Maiorca , Diego Doimo , Francesco Locatello , Alberto Cazzaniga

Attention layers -- which map a sequence of inputs to a sequence of outputs -- are core building blocks of the Transformer architecture which has achieved significant breakthroughs in modern artificial intelligence. This paper presents a…

Machine Learning · Computer Science 2023-07-24 Hengyu Fu , Tianyu Guo , Yu Bai , Song Mei

Federated Learning (FL) aims to learn a single global model that enables the central server to help the model training in local clients without accessing their local data. The key challenge of FL is the heterogeneity of local data in…

Machine Learning · Computer Science 2023-04-17 Sicong Liang , Junchao Tian , Shujun Yang , Yu Zhang

The transformer architecture is central to the success of modern Large Language Models (LLMs), in part due to its surprising ability to perform a wide range of tasks - including mathematical reasoning, memorization, and retrieval - using…

Machine Learning · Computer Science 2025-09-05 Yihe Dong , Lorenzo Noci , Mikhail Khodak , Mufan Li

Pre-trained transformers are able to learn from examples provided as part of the prompt without any weight updates, a remarkable ability known as in-context learning (ICL). Despite its demonstrated efficacy across various domains, the…

Machine Learning · Computer Science 2026-05-07 Alexander Hsu , Zhaiming Shen , Wenjing Liao , Rongjie Lai

The unusual properties of in-context learning (ICL) have prompted investigations into the internal mechanisms of large language models. Prior work typically focuses on either special attention heads or task vectors at specific layers, but…

Computation and Language · Computer Science 2025-10-21 Haolin Yang , Hakaze Cho , Yiqiao Zhong , Naoya Inoue

Large language models (LLMs) based on transformer architectures are typically described through collections of architectural components and training procedures, obscuring their underlying computational structure. This review article…

Machine Learning · Computer Science 2026-02-03 Vikram Krishnamurthy

Attention layers are widely used in natural language processing (NLP) and are beginning to influence computer vision architectures. Training very large transformer models allowed significant improvement in both fields, but once trained,…

Machine Learning · Computer Science 2021-05-21 Jean-Baptiste Cordonnier , Andreas Loukas , Martin Jaggi

Large language models (LLMs) are powerful models that can learn concepts at the inference stage via in-context learning (ICL). While theoretical studies, e.g., \cite{zhang2023trained}, attempt to explain the mechanism of ICL, they assume…

Machine Learning · Computer Science 2024-06-19 Yue Xing , Xiaofeng Lin , Chenheng Xu , Namjoon Suh , Qifan Song , Guang Cheng

The self-attention module is a key component of Transformer-based models, wherein each token pays attention to every other token. Recent studies have shown that these heads exhibit syntactic, semantic, or local behaviour. Some studies have…

Computation and Language · Computer Science 2020-08-14 Madhura Pande , Aakriti Budhraja , Preksha Nema , Pratyush Kumar , Mitesh M. Khapra

In-context learning (ICL) is a key building block of modern large language models, yet its theoretical mechanisms remain poorly understood. It is particularly mysterious how ICL operates in real-world applications where tasks have a common…

Disordered Systems and Neural Networks · Physics 2026-04-24 Kaito Takanami , Takashi Takahashi , Yoshiyuki Kabashima

In-context learning (ICL)-the ability of transformer-based models to perform new tasks from examples provided at inference time-has emerged as a hallmark of modern language models. While recent works have investigated the mechanisms…

Machine Learning · Statistics 2025-04-23 Soham Bonnerjee , Zhen Wei , Yeon , Anna Asch , Sagnik Nandy , Promit Ghosal
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