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It has become standard to solve NLP tasks by fine-tuning pre-trained language models (LMs), especially in low-data settings. There is minimal theoretical understanding of empirical success, e.g., why fine-tuning a model with $10^8$ or more…

机器学习 · 计算机科学 2023-06-07 Sadhika Malladi , Alexander Wettig , Dingli Yu , Danqi Chen , Sanjeev Arora

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…

机器学习 · 统计学 2026-02-17 Zexuan Sun , Garvesh Raskutti

Given the complexity of genetic risk prediction, there is a critical need for the development of novel methodologies that can effectively capture intricate genotype--phenotype relationships (e.g., nonlinear) while remaining statistically…

应用统计 · 统计学 2025-10-03 Heng Ge , Qing Lu

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…

机器学习 · 计算机科学 2020-08-10 Kyung-Su Kim , Aurélie C. Lozano , Eunho Yang

The Neural Tangent Kernel (NTK) has discovered connections between deep neural networks and kernel methods with insights of optimization and generalization. Motivated by this, recent works report that NTK can achieve better performances…

机器学习 · 计算机科学 2021-04-06 Insu Han , Haim Avron , Neta Shoham , Chaewon Kim , Jinwoo Shin

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…

机器学习 · 计算机科学 2019-10-29 Sanjeev Arora , Simon S. Du , Zhiyuan Li , Ruslan Salakhutdinov , Ruosong Wang , Dingli Yu

Recently, neural tangent kernel (NTK) has been used to explain the dynamics of learning parameters of neural networks, at the large width limit. Quantitative analyses of NTK give rise to network widths that are often impractical and incur…

机器学习 · 计算机科学 2022-10-11 Nir Ailon , Supratim Shit

Data selection plays a crucial role in data-driven decision-making, including in large language models (LLMs), and is typically task-dependent. Properties such as data quality and diversity have been extensively studied and are known to…

机器学习 · 计算机科学 2025-09-30 Yuqing Wang , Shangding Gu

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…

机器学习 · 计算机科学 2025-06-03 Xinyue Zeng , Haohui Wang , Junhong Lin , Jun Wu , Tyler Cody , Dawei Zhou

The Neural Tangent Kernel (NTK) has emerged as a powerful tool to provide memorization, optimization and generalization guarantees in deep neural networks. A line of work has studied the NTK spectrum for two-layer and deep networks with at…

机器学习 · 统计学 2023-05-23 Simone Bombari , Mohammad Hossein Amani , Marco Mondelli

Fine-tuning of Large Language Models (LLMs) for downstream tasks, performed on domain-specific data has shown significant promise. However, commercial use of such LLMs is limited by the high computational cost required for their deployment…

计算与语言 · 计算机科学 2025-03-06 Boris Nazarov , Darya Frolova , Yackov Lubarsky , Alexei Gaissinski , Pavel Kisilev

Low-rank adaptation (LoRA) has become the standard approach for parameter-efficient fine-tuning of large language models (LLM), but our theoretical understanding of LoRA has been limited. In this work, we theoretically analyze LoRA…

机器学习 · 计算机科学 2024-05-29 Uijeong Jang , Jason D. Lee , Ernest K. Ryu

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…

机器学习 · 计算机科学 2021-07-28 Amir Zandieh

Transfer learning techniques are particularly useful in NLP tasks where a sizable amount of high-quality annotated data is difficult to obtain. Current approaches directly adapt a pre-trained language model (LM) on in-domain text before…

The Neural Tangent Kernel (NTK) framework explains optimization in over-parameterized neural networks via approximately linearized dynamics, yielding exponential convergence guarantees. However, existing results are often overly pessimistic…

机器学习 · 计算机科学 2026-05-26 Ruchirinkil Marreddy , Chaoyue Liu

Pretrained large language models (LLMs) are currently state-of-the-art for solving the vast majority of natural language processing tasks. While many real-world applications still require fine-tuning to reach satisfactory levels of…

Neural Machine Translation (NMT) systems built on multilingual sequence-to-sequence Language Models (msLMs) fail to deliver expected results when the amount of parallel data for a language, as well as the language's representation in the…

Instruction Tuning (IT) has been proven to be an effective approach to unlock the powerful capabilities of large language models (LLMs). Recent studies indicate that excessive IT data can degrade LLMs performance, while carefully selecting…

计算与语言 · 计算机科学 2026-03-16 Xin Chen , Junchao Wu , Shu Yang , Runzhe Zhan , Zeyu Wu , Min Yang , Shujian Huang , Lidia S. Chao , Derek F. Wong

As large language models (LLMs) become increasingly popular, there is a growing need to predict which out of a set of LLMs will yield a successful answer to a given query at low cost. This problem promises to become even more relevant as…

计算与语言 · 计算机科学 2026-04-23 Baran Atalar , Eddie Zhang , Carlee Joe-Wong

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…

机器学习 · 计算机科学 2021-12-09 Amir Zandieh , Insu Han , Haim Avron , Neta Shoham , Chaewon Kim , Jinwoo Shin
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