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Parameter-efficient fine-tuning methods like Low-Rank Adaptation (LoRA) have become essential for deploying large language models, yet their static parameter allocation remains suboptimal for inputs of varying complexity. We present…

Machine Learning · Computer Science 2026-05-05 Zongqian Li , Yixuan Su , Han Zhou , Zihao Fu , Nigel Collier

Refinement types enable lightweight verification of functional programs. Algorithms for statically inferring refinement types typically work by reduction to solving systems of constrained Horn clauses extracted from typing derivations. An…

Programming Languages · Computer Science 2020-11-11 Zvonimir Pavlinovic , Yusen Su , Thomas Wies

Fine-tuning large language models (LLMs) is crucial for improving their performance on downstream tasks, but full-parameter fine-tuning (Full-FT) is computationally expensive and memory-intensive. Parameter-efficient fine-tuning (PEFT)…

Computation and Language · Computer Science 2026-05-12 Longteng Zhang , Lin Zhang , Shaohuai Shi , Xiaowen Chu , Bo Li

Large models represent a groundbreaking advancement in multiple application fields, enabling remarkable achievements across various tasks. However, their unprecedented scale comes with significant computational costs. These models, often…

Machine Learning · Computer Science 2024-09-17 Zeyu Han , Chao Gao , Jinyang Liu , Jeff Zhang , Sai Qian Zhang

Parameter-efficient fine-tuning (PEFT) has become a popular way to adapt large pre-trained models to new tasks. Most PEFT methods update only a small subset of parameters while freezing the rest, avoiding redundant computation. As they…

Machine Learning · Computer Science 2025-08-25 Sungmin Kang , Jisoo Kim , Salman Avestimehr , Sunwoo Lee

Iterative thresholding algorithms are well-suited for high-dimensional problems in sparse recovery and compressive sensing. The performance of this class of algorithms depends heavily on the tuning of certain threshold parameters. In…

Information Theory · Computer Science 2013-11-04 Ali Mousavi , Arian Maleki , Richard G. Baraniuk

Fine-tuning all parameters of Large Language Models (LLMs) is computationally expensive. Parameter-Efficient Fine-Tuning (PEFT) methods address this by selectively fine-tuning specific parameters. Most of the parameter efficient fine-tuning…

Computation and Language · Computer Science 2024-11-19 Ming Dong , Kang Xue , Bolong Zheng , Tingting He

We present Adjacent Possible Exploration (APE), a selective fine-tuning method for adapting large language models that systematically explores parameter modifications while maintaining model stability. Inspired by evolutionary optimization…

Computation and Language · Computer Science 2025-06-10 Javier Marín

With the continuous growth in the number of parameters of transformer-based pretrained language models (PLMs), particularly the emergence of large language models (LLMs) with billions of parameters, many natural language processing (NLP)…

Computation and Language · Computer Science 2023-12-20 Lingling Xu , Haoran Xie , Si-Zhao Joe Qin , Xiaohui Tao , Fu Lee Wang

Parameter-efficient fine-tuning (PEFT) techniques make it possible to efficiently adapt a language model to create "expert" models that specialize to new tasks or domains. Recent techniques in model merging and compositional generalization…

Machine Learning · Computer Science 2025-08-12 Prateek Yadav , Leshem Choshen , Colin Raffel , Mohit Bansal

Parameter Efficient Fine-Tuning (PEFT) is a key technique for adapting a large pretrained model to downstream tasks by fine-tuning only a small number of parameters. Recent methods based on Fourier transforms have further reduced the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Baoquan Zhang , Zhehao Yu , Lisai Zhang , Kenghong Lin , Tianran Chen , Yuxi Sun , Yunming Ye , Yao He

Affine projection algorithm (APA) is a well-known algorithm in adaptive filtering applications such as audio echo cancellation. APA relies on three parameters: $P$ (projection order), $\mu$ (step size) and $\delta$ (regularization…

Information Theory · Computer Science 2023-10-16 Shirin Jalali , Carl Nuzman , Yue Sun

Adapting pre-trained foundation models for diverse downstream tasks is a core practice in artificial intelligence. However, the wide range of tasks and high computational costs make full fine-tuning impractical. To overcome this,…

Machine Learning · Computer Science 2025-06-27 Chongjie Si , Zhiyi Shi , Xuehui Wang , Yichen Xiao , Xiaokang Yang , Wei Shen

This paper presents a new numerical abstract domain for static analysis by abstract interpretation. This domain allows us to represent invariants of the form (x-y<=c) and (+/-x<=c), where x and y are variables values and c is an integer or…

Programming Languages · Computer Science 2016-08-14 Antoine Miné

In the literature, there are a few researches to design some parameters in the Proximal Point Algorithm (PPA), especially for the multi-objective convex optimizations. Introducing some parameters to PPA can make it more flexible and…

Optimization and Control · Mathematics 2018-12-11 Jianchao Bai , Jicheng Li , Pingfan Dai , Jiaofen Li

Instruction tuning has become an important step for finetuning pretrained language models to better follow human instructions and generalize on various tasks. Nowadays, pretrained language models become increasingly larger, and full…

Computation and Language · Computer Science 2024-11-27 Pengfei He

Automated Program Repair (APR) aims to fix bugs by generating patches. And existing work has demonstrated that "pre-training and fine-tuning" paradigm enables Large Language Models (LLMs) improve fixing capabilities on APR. However,…

Software Engineering · Computer Science 2024-09-13 Guochang Li , Chen Zhi , Jialiang Chen , Junxiao Han , Shuiguang Deng

We consider the problem of learning a low-dimensional signal model from a collection of training samples. The mainstream approach would be to learn an overcomplete dictionary to provide good approximations of the training samples using…

Numerical Analysis · Mathematics 2015-06-05 Mehrdad Yaghoobi , Sangnam Nam , Remi Gribonval , Mike E. Davies

With the prevalence of pre-training-fine-tuning paradigm, how to efficiently adapt the pre-trained model to the downstream tasks has been an intriguing issue. Parameter-Efficient Fine-Tuning (PEFT) methods have been proposed for low-cost…

Machine Learning · Computer Science 2024-06-11 Weixi Song , Zuchao Li , Lefei Zhang , Hai Zhao , Bo Du

Probabilistic programming has emerged as a powerful paradigm in statistics, applied science, and machine learning: by decoupling modelling from inference, it promises to allow modellers to directly reason about the processes generating…

Machine Learning · Statistics 2019-06-10 Maria I. Gorinova , Dave Moore , Matthew D. Hoffman
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