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Related papers: A Kernel-Based View of Language Model Fine-Tuning

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In the era of large language models (LLMs), fine-tuning pretrained models has become ubiquitous. Yet the theoretical underpinning remains an open question. A central question is why only a few epochs of fine-tuning are typically sufficient…

Machine Learning · Statistics 2026-02-17 Zexuan Sun , Garvesh Raskutti

Parameter-efficient fine-tuning for continual learning (PEFT-CL) has shown promise in adapting pre-trained models to sequential tasks while mitigating catastrophic forgetting problem. However, understanding the mechanisms that dictate…

Machine Learning · Computer Science 2026-02-27 Jingren Liu , Zhong Ji , YunLong Yu , Jiale Cao , Yanwei Pang , Jungong Han , Xuelong Li

Recent theoretical works based on the neural tangent kernel (NTK) have shed light on the optimization and generalization of over-parameterized networks, and partially bridge the gap between their practical success and classical learning…

Machine Learning · Computer Science 2020-08-10 Kyung-Su Kim , Aurélie C. Lozano , Eunho Yang

The proliferation of open-sourced Large Language Models (LLMs) and diverse downstream tasks necessitates efficient model selection, given the impracticality of fine-tuning all candidates due to computational constraints. Despite the recent…

Machine Learning · Computer Science 2025-06-03 Xinyue Zeng , Haohui Wang , Junhong Lin , Jun Wu , Tyler Cody , Dawei Zhou

Parameter-Efficient Fine-Tuning (PEFT) is a popular class of techniques that strive to adapt large models in a scalable and resource-efficient manner. Yet, the mechanisms underlying their training performance and generalization remain…

Machine Learning · Computer Science 2026-02-10 Zahra Rahimi Afzal , Tara Esmaeilbeig , Mojtaba Soltanalian , Mesrob I. Ohannessian

The training dynamics and generalization properties of neural networks (NN) can be precisely characterized in function space via the neural tangent kernel (NTK). Structural changes to the NTK during training reflect feature learning and…

Machine Learning · Statistics 2022-02-11 Haozhe Shan , Blake Bordelon

Fine-tuning a pre-trained language model (PLM) emerges as the predominant strategy in many natural language processing applications. However, this process is known to be expensive, especially on edge devices with low computing power. While…

Machine Learning · Computer Science 2025-01-07 Mengting Ai , Tianxin Wei , Yifan Chen , Zeming Guo , Jingrui He

The Neural Tangent Kernel (NTK) has recently attracted intense study, as it describes the evolution of an over-parameterized Neural Network (NN) trained by gradient descent. However, it is now well-known that gradient descent is not always…

Machine Learning · Computer Science 2021-03-23 Lei Tan , Shutong Wu , Xiaolin Huang

The Neural Tangent Kernel (NTK) characterizes the behavior of infinitely wide neural nets trained under least squares loss by gradient descent. However, despite its importance, the super-quadratic runtime of kernel methods limits the use of…

Machine Learning · Computer Science 2021-07-28 Amir Zandieh

Prompting and context-based fine-tuning methods, which we call Prefix Learning, have been proposed to enhance the performance of language models on various downstream tasks. They are empirically efficient and effective, matching the…

Machine Learning · Computer Science 2024-10-17 Yingyu Liang , Zhenmei Shi , Zhao Song , Chiwun Yang

Natural language processing (NLP) enables the understanding and generation of meaningful human language, typically using a pre-trained complex architecture on a large dataset to learn the language and next fine-tune its weights to implement…

Computation and Language · Computer Science 2025-09-04 Yarden Tzach , Ronit D. Gross , Ella Koresh , Shalom Rosner , Or Shpringer , Tal Halevi , Ido Kanter

The Neural Tangent Kernel (NTK) characterizes the behavior of infinitely-wide neural networks trained under least squares loss by gradient descent. Recent works also report that NTK regression can outperform finitely-wide neural networks…

Machine Learning · Computer Science 2021-12-09 Amir Zandieh , Insu Han , Haim Avron , Neta Shoham , Chaewon Kim , Jinwoo Shin

In wide neural networks, the Neural Tangent Kernel (NTK) remains approximately constant during training, providing a powerful theoretical tool for studying training dynamics, generalization, and connections to kernel methods. However, this…

Machine Learning · Computer Science 2026-05-26 Jonathan Plenk , Sergio Calvo-Ordonez , Alvaro Cartea , Yarin Gal , Mark van der Wilk , Kamil Ciosek

Model Reprogramming (MR) is a resource-efficient framework that adapts large pre-trained models to new tasks with minimal additional parameters and data, offering a promising solution to the challenges of training large models for diverse…

Machine Learning · Computer Science 2025-06-03 Ming-Yu Chung , Jiashuo Fan , Hancheng Ye , Qinsi Wang , Wei-Chen Shen , Chia-Mu Yu , Pin-Yu Chen , Sy-Yen Kuo

Scaling laws offer valuable insights into the relationship between neural network performance and computational cost, yet their underlying mechanisms remain poorly understood. In this work, we empirically analyze how neural networks behave…

Machine Learning · Computer Science 2025-07-08 Konstantin Nikolaou , Sven Krippendorf , Samuel Tovey , Christian Holm

Expressiveness and generalization of deep models was recently addressed via the connection between neural networks (NNs) and kernel learning, where first-order dynamics of NN during a gradient-descent (GD) optimization were related to…

Machine Learning · Computer Science 2020-04-21 Dmitry Kopitkov , Vadim Indelman

The Neural Tangent Kernel (NTK) is an important milestone in the ongoing effort to build a theory for deep learning. Its prediction that sufficiently wide neural networks behave as kernel methods, or equivalently as random feature models,…

Machine Learning · Computer Science 2020-06-25 Maxim Samarin , Volker Roth , David Belius

The two-stage fine-tuning (FT) method, linear probing (LP) then fine-tuning (LP-FT), outperforms linear probing and FT alone. This holds true for both in-distribution (ID) and out-of-distribution (OOD) data. One key reason for its success…

Machine Learning · Computer Science 2024-10-23 Akiyoshi Tomihari , Issei Sato

Knowing whether a Quantum Machine Learning model would perform well on a given dataset before training it can help to save critical resources. However, gathering a priori information about model performance (e.g., training speed, critical…

Quantum Physics · Physics 2025-03-05 Francesco Scala , Christa Zoufal , Dario Gerace , Francesco Tacchino

Task arithmetic has recently emerged as a cost-effective and scalable approach to edit pre-trained models directly in weight space: By adding the fine-tuned weights of different tasks, the model's performance can be improved on these tasks,…

Machine Learning · Computer Science 2023-11-22 Guillermo Ortiz-Jimenez , Alessandro Favero , Pascal Frossard
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