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

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Physics-informed neural networks (PINNs) have lately received great attention thanks to their flexibility in tackling a wide range of forward and inverse problems involving partial differential equations. However, despite their noticeable…

Machine Learning · Computer Science 2020-07-30 Sifan Wang , Xinling Yu , Paris Perdikaris

The tremendous recent progress in analyzing the training dynamics of overparameterized neural networks has primarily focused on wide networks and therefore does not sufficiently address the role of depth in deep learning. In this work, we…

Machine Learning · Computer Science 2022-06-29 Jongmin Lee , Joo Young Choi , Ernest K. Ryu , Albert No

Large Language Models (LLMs) are composed of neurons that exhibit various behaviors and roles, which become increasingly diversified as models scale. Recent studies have revealed that not all neurons are active across different datasets,…

Computation and Language · Computer Science 2024-03-19 Haoyun Xu , Runzhe Zhan , Derek F. Wong , Lidia S. Chao

The Neural Tangent Kernel (NTK) offers a powerful tool to study the functional dynamics of neural networks. In the so-called lazy, or kernel regime, the NTK remains static during training and the network function is linear in the static…

Machine Learning · Computer Science 2025-07-28 Yuzhi Liu , Zixuan Chen , Zirui Zhang , Yufei Liu , Giulia Lanzillotta

We are beginning to see progress in language model assisted scientific discovery. Motivated by the use of LLMs as a general scientific assistant, this paper assesses the domain knowledge of LLMs through its understanding of different…

Artificial Intelligence · Computer Science 2024-05-27 Siyuan Guo , Aniket Didolkar , Nan Rosemary Ke , Anirudh Goyal , Ferenc Huszár , Bernhard Schölkopf

The ``Neural Tangent Kernel'' (NTK) (Jacot et al 2018), and its empirical variants have been proposed as a proxy to capture certain behaviors of real neural networks. In this work, we study NTKs through the lens of scaling laws, and…

Machine Learning · Computer Science 2022-06-22 Nikhil Vyas , Yamini Bansal , Preetum Nakkiran

Training deep neural networks from scratch on natural language processing (NLP) tasks requires significant amount of manually labeled text corpus and substantial time to converge, which usually cannot be satisfied by the customers. In this…

Computation and Language · Computer Science 2019-10-29 Yunzhe Tao , Saurabh Gupta , Satyapriya Krishna , Xiong Zhou , Orchid Majumder , Vineet Khare

Web-scale pre-training datasets are the cornerstone of LLMs' success. However, text data curated from the Internet inevitably contains random noise caused by decoding errors or unregulated web content. In contrast to previous works that…

Computation and Language · Computer Science 2025-05-19 Jinghan Ru , Yuxin Xie , Xianwei Zhuang , Yuguo Yin , Zhihui Guo , Zhiming Liu , Qianli Ren , Yuexian Zou

Natural language processing (NLP) tasks (text classification, named entity recognition, etc.) have seen revolutionary improvements over the last few years. This is due to language models such as BERT that achieve deep knowledge transfer by…

Computation and Language · Computer Science 2021-05-27 Lee Burke , Karl Pazdernik , Daniel Fortin , Benjamin Wilson , Rustam Goychayev , John Mattingly

Recent works have examined theoretical and empirical properties of wide neural networks trained in the Neural Tangent Kernel (NTK) regime. Given that biological neural networks are much wider than their artificial counterparts, we consider…

Machine Learning · Computer Science 2022-07-14 Akhilan Boopathy , Ila Fiete

Pre-trained language models can be fine-tuned to solve diverse NLP tasks, including in few-shot settings. Thus fine-tuning allows the model to quickly pick up task-specific ``skills,'' but there has been limited study of where these…

Computation and Language · Computer Science 2023-07-04 Abhishek Panigrahi , Nikunj Saunshi , Haoyu Zhao , Sanjeev Arora

Language models (LMs) have demonstrated remarkable capabilities in NLP, yet adapting them efficiently and robustly to specific tasks remains challenging. As their scale and complexity grow, fine-tuning LMs on labelled data often…

Computation and Language · Computer Science 2025-06-27 Zhengyan Shi

This open access book provides a comprehensive overview of the state of the art in research and applications of Foundation Models and is intended for readers familiar with basic Natural Language Processing (NLP) concepts. Over the recent…

Computation and Language · Computer Science 2023-02-20 Gerhard Paaß , Sven Giesselbach

A primary advantage of neural networks lies in their feature learning characteristics, which is challenging to theoretically analyze due to the complexity of their training dynamics. We propose a new paradigm for studying feature learning…

Machine Learning · Computer Science 2024-12-30 Haobo Zhang , Jianfa Lai , Yicheng Li , Qian Lin , Jun S. Liu

Neural Tangent Kernel (NTK) is widely used to analyze overparametrized neural networks due to the famous result by Jacot et al. (2018): in the infinite-width limit, the NTK is deterministic and constant during training. However, this result…

Machine Learning · Computer Science 2022-07-22 Mariia Seleznova , Gitta Kutyniok

The evolution of a deep neural network trained by the gradient descent can be described by its neural tangent kernel (NTK) as introduced in [20], where it was proven that in the infinite width limit the NTK converges to an explicit limiting…

Machine Learning · Computer Science 2019-09-19 Jiaoyang Huang , Horng-Tzer Yau

Recent research shows that the following two models are equivalent: (a) infinitely wide neural networks (NNs) trained under l2 loss by gradient descent with infinitesimally small learning rate (b) kernel regression with respect to so-called…

Machine Learning · Computer Science 2019-10-29 Sanjeev Arora , Simon S. Du , Zhiyuan Li , Ruslan Salakhutdinov , Ruosong Wang , Dingli Yu

Neural tangent kernels (NTKs) provide a theoretical regime to analyze the learning and generalization behavior of over-parametrized neural networks. For a supervised learning task, the association between the eigenvectors of the NTK kernel…

Machine Learning · Computer Science 2023-10-18 Shervin Khalafi , Saurabh Sihag , Alejandro Ribeiro

State-of-the-art neural networks are heavily over-parameterized, making the optimization algorithm a crucial ingredient for learning predictive models with good generalization properties. A recent line of work has shown that in a certain…

Machine Learning · Statistics 2019-11-01 Alberto Bietti , Julien Mairal

This thesis provides methods and analysis of models which make progress on this goal. The techniques outlined are task agnostic, and should provide benefit when used with nearly any transformer LM. We introduce two new finetuning methods…

Computation and Language · Computer Science 2024-08-30 Davis Yoshida