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Our work presents extensive empirical evidence that layer rotation, i.e. the evolution across training of the cosine distance between each layer's weight vector and its initialization, constitutes an impressively consistent indicator of…

Machine Learning · Computer Science 2019-07-02 Simon Carbonnelle , Christophe De Vleeschouwer

Large Language Models (LLMs) have transformed both everyday life and scientific research. However, adapting LLMs from general-purpose models to specialized tasks remains challenging, particularly in resource-constrained environments.…

Machine Learning · Computer Science 2025-09-12 Hao Zhang , Bo Huang , Zhenjia Li , Xi Xiao , Hui Yi Leong , Zumeng Zhang , Xinwei Long , Tianyang Wang , Hao Xu

The quantization of large language models (LLMs) has been a prominent research area aimed at enabling their lightweight deployment in practice. Existing research about LLM's quantization has mainly explored the interplay between weights and…

Computation and Language · Computer Science 2025-05-16 Yifei Gao , Jie Ou , Lei Wang , Jun Cheng , Mengchu Zhou

The releases of powerful open-weight large language models (LLMs) are often not accompanied by access to their full training data. Existing interpretability methods, particularly those based on activations, often require or assume…

Machine Learning · Computer Science 2026-04-22 Ziqian Zhong , Aditi Raghunathan

As Large Language Models (LLMs) are frequently updated, LoRA weights trained on earlier versions quickly become obsolete. The conventional practice of retraining LoRA weights from scratch on the latest model is costly, time-consuming, and…

Machine Learning · Computer Science 2025-05-21 Yanan Li , Fanxu Meng , Muhan Zhang , Shiai Zhu , Shangguang Wang , Mengwei Xu

We introduce a novel index, the Distribution of Cosine Similarity (DOCS), for quantitatively assessing the similarity between weight matrices in Large Language Models (LLMs), aiming to facilitate the analysis of their complex architectures.…

Computation and Language · Computer Science 2025-01-29 Zeping Min , Xinshang Wang

Transformer architecture gradually dominates the LLM field. Recent advances in training optimization for Transformer-based large language models (LLMs) primarily focus on architectural modifications or optimizer adjustments. However, these…

Large Language Models' (LLMs) weight matrices can often be expressed in low-rank form with potential to relax memory and compute resource requirements. Unlike prior efforts that focus on developing novel matrix decompositions, in this work…

Machine Learning · Computer Science 2025-06-10 Ajay Jaiswal , Yifan Wang , Lu Yin , Shiwei Liu , Runjin Chen , Jiawei Zhao , Ananth Grama , Yuandong Tian , Zhangyang Wang

Large language models (LLMs) have revolutionized natural language processing. Understanding their internal mechanisms is crucial for developing more interpretable and optimized architectures. Mechanistic interpretability has led to the…

The scaling law of Large Language Models (LLMs) reveals a power-law relationship, showing diminishing return on performance as model scale increases. While training LLMs from scratch is resource-intensive, fine-tuning a pre-trained model…

Computation and Language · Computer Science 2025-05-22 Yiyun Zhou , Chang Yao , Jingyuan Chen

Pre-training Large Language Models (LLMs) on web-scale datasets becomes fundamental for advancing general-purpose AI. In contrast, enhancing their predictive performance on downstream tasks typically involves adapting their knowledge…

Fine-tuning is a crucial paradigm for adapting pre-trained large language models to downstream tasks. Recently, methods like Low-Rank Adaptation (LoRA) have been shown to effectively fine-tune LLMs with an extreme reduction in trainable…

Machine Learning · Computer Science 2025-10-23 Reece Shuttleworth , Jacob Andreas , Antonio Torralba , Pratyusha Sharma

Low-rank adaptations (LoRAs) have revolutionized the finetuning of large foundation models, enabling efficient adaptation even with limited computational resources. The resulting proliferation of LoRAs presents exciting opportunities for…

Machine Learning · Computer Science 2024-10-16 Theo Putterman , Derek Lim , Yoav Gelberg , Stefanie Jegelka , Haggai Maron

Large language models are often adapted using parameter-efficient techniques such as Low-Rank Adaptation (LoRA), formulated as $y = W_0x + BAx$, where $W_0$ is the pre-trained parameters and $x$ is the input to the adapted layer. While…

Machine Learning · Computer Science 2026-04-28 Hao Ban , Kaiyi Ji

Among the widely used parameter-efficient fine-tuning (PEFT) methods, LoRA and its variants have gained considerable popularity because of avoiding additional inference costs. However, there still often exists an accuracy gap between these…

Computation and Language · Computer Science 2024-07-10 Shih-Yang Liu , Chien-Yi Wang , Hongxu Yin , Pavlo Molchanov , Yu-Chiang Frank Wang , Kwang-Ting Cheng , Min-Hung Chen

Large Language Models (LLMs) have achieved remarkable breakthroughs. However, the huge number of parameters in LLMs require significant amount of memory storage in inference, which prevents their practical deployment in many applications.…

Computation and Language · Computer Science 2024-10-08 Jingcun Wang , Yu-Guang Chen , Ing-Chao Lin , Bing Li , Grace Li Zhang

In this paper we generalize and extend an idea of low-rank adaptation (LoRA) of large language models (LLMs) based on Transformer architecture. Widely used LoRA-like methods of fine-tuning LLMs are based on matrix factorization of gradient…

Computation and Language · Computer Science 2024-02-06 Daniel Bershatsky , Daria Cherniuk , Talgat Daulbaev , Aleksandr Mikhalev , Ivan Oseledets

Post-training compression of large language models (LLMs) often relies on low-rank weight approximations that represent each column of the weight matrix in a shared low-dimensional subspace. This strategy is computationally efficient but…

Computation and Language · Computer Science 2026-05-05 Denis Makhov , Dmitriy Shopkhoev , Magauiya Zhussip , Ammar Ali , Stamatios Lefkimmiatis

Low-rank adaptation (LoRA) reduces the computational and memory demands of fine-tuning large language models (LLMs) by approximating updates with low-rank matrices. However, low-rank approximation in two-dimensional space fails to capture…

Computation and Language · Computer Science 2024-12-31 Xiaolin Hu , Xiang Cheng , Peiyu Liu , Wei Liu , Jian Luan , Bin Wang , Yong Liu

Large language models (LLMs) are increasingly used in the creation of online content, creating feedback loops as subsequent generations of models will be trained on this synthetic data. Such loops were shown to lead to distribution shifts -…

Machine Learning · Computer Science 2025-12-29 Grgur Kovač , Jérémy Perez , Rémy Portelas , Peter Ford Dominey , Pierre-Yves Oudeyer
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