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Parameter-efficient fine-tuning (PEFT) methods have emerged as a practical solution for adapting large foundation models to downstream tasks, reducing computational and memory costs by updating only a small subset of parameters. Among them,…

Machine Learning · Computer Science 2025-12-30 Guoan Wan , Tianyu Chen , Fangzheng Feng , Haoyi Zhou , Runhua Xu

We introduce two efficient algorithms for computing the partial Fourier transforms in one and two dimensions. Our study is motivated by the wave extrapolation procedure in reflection seismology. In both algorithms, the main idea is to…

Numerical Analysis · Mathematics 2008-02-13 Lexing Ying , Sergey Fomel

Fine-tuning plays a crucial role in adapting models to downstream tasks with minimal training efforts. However, the rapidly increasing size of foundation models poses a daunting challenge for accommodating foundation model fine-tuning in…

Machine Learning · Computer Science 2025-04-18 Shiwei Ding , Lan Zhang , Zhenlin Wang , Giuseppe Ateniese , Xiaoyong Yuan

Supervised fine-tuning (SFT) is a pivotal approach to adapting large language models (LLMs) for downstream tasks; however, performance often suffers from the ``seesaw phenomenon'', where indiscriminate parameter updates yield progress on…

Computation and Language · Computer Science 2025-09-22 Yao Wang , Di Liang , Minlong Peng

Fast Fourier transform (FFT) based methods have turned out to be an effective computational approach for numerical homogenisation. In particular, Fourier-Galerkin methods are computational methods for partial differential equations that are…

Numerical Analysis · Mathematics 2020-04-22 Jaroslav Vondřejc , Dishi Liu , Martin Ladecký , Hermann G. Matthies

Fourier solvers have become efficient tools to establish structure-property relations in heterogeneous materials. Introduced as an alternative to the Finite Element (FE) method, they are based on fixed-point solutions of the…

Computational Physics · Physics 2017-09-01 Jan Zeman , Tom W. J. de Geus , Jaroslav Vondřejc , Ron H. J. Peerlings , Marc G. D. Geers

Task vector composition has emerged as a promising paradigm for editing pre-trained models, enabling model merging through addition and unlearning through subtraction. Fine-tuning in the tangent space of a pre-trained model (linear…

Machine Learning · Computer Science 2026-05-25 Thomas Sommariva , Francesca Morandi , Simone Calderara , Angelo Porrello

A novel addition to the family of integral transforms, the quadratic phase Fourier transform (QPFT) embodies a variety of signal processing tools, including the Fourier transform (FT), fractional Fourier transform (FRFT), linear canonical…

Functional Analysis · Mathematics 2024-02-20 Aamir Hamid Dar

As an efficient alternative to conventional full finetuning, parameter-efficient finetuning (PEFT) is becoming the prevailing method to adapt pretrained language models. In PEFT, a lightweight module is learned on each dataset while the…

Computation and Language · Computer Science 2023-12-12 Jinghan Zhang , Shiqi Chen , Junteng Liu , Junxian He

Feature Transformation (FT) crafts new features from original ones via mathematical operations to enhance dataset expressiveness for downstream models. However, existing FT methods exhibit critical limitations: discrete search struggles…

Machine Learning · Computer Science 2025-05-22 Nanxu Gong , Zijun Li , Sixun Dong , Haoyue Bai , Wangyang Ying , Xinyuan Wang , Yanjie Fu

To address limitations of the graph fractional Fourier transform (GFRFT) Wiener filtering and the traditional joint time-vertex fractional Fourier transform (JFRFT) Wiener filtering, this study proposes a filtering method based on the…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Ziqi Yan , Zhichao Zhang

In this paper, we present a dynamic non-diagonal regularization for interior point methods. The non-diagonal aspect of this regularization is implicit, since all the off-diagonal elements of the regularization matrices are cancelled out by…

Optimization and Control · Mathematics 2019-02-19 Spyridon Pougkakiotis , Jacek Gondzio

Fine-tuning large foundation models is essential for building expert models tailored to specialized tasks and domains, but fully updating billions of parameters is computationally prohibitive. Reducing the number of trainable parameters…

Machine Learning · Computer Science 2026-04-21 Junseo Hwang , Wonguk Cho , Taesup Kim

The recent popularity of foundation models and the pre-train-and-adapt paradigm, where a large-scale model is transferred to downstream tasks, is gaining attention for volumetric medical image segmentation. However, current transfer…

Computer Vision and Pattern Recognition · Computer Science 2025-05-12 Julio Silva-Rodríguez , Jose Dolz , Ismail Ben Ayed

A general and fast method is conceived for computing the cyclic convolution of n points, where n is a prime number. This method fully exploits the internal structure of the cyclic matrix, and hence leads to significant reduction of the…

Artificial Intelligence · Computer Science 2019-05-10 Qi Cai , Tsung-Ching Lin , Yuanxin Wu , Wenxian Yu , Trieu-Kien Truong

The technologically-relevant task of feature extraction from data performed in deep-learning systems is routinely accomplished as repeated fast Fourier transforms (FFT) electronically in prevalent domain-specific architectures such as in…

We propose and demonstrate an alternating Fourier and image domain filtering approach for feature extraction as an efficient alternative to build a vision backbone without using the computationally intensive attention. The performance among…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Yunling Zheng , Zeyi Xu , Fanghui Xue , Biao Yang , Jiancheng Lyu , Shuai Zhang , Yingyong Qi , Jack Xin

Tabular Foundation Models (TFMs) have recently shown strong in-context learning capabilities on structured data, achieving zero-shot performance comparable to traditional machine learning methods. We find that zero-shot TFMs already achieve…

Machine Learning · Computer Science 2026-01-15 Aditya Tanna , Pratinav Seth , Mohamed Bouadi , Vinay Kumar Sankarapu

Federated Learning (FL) is an emerging paradigm that enables distributed users to collaboratively and iteratively train machine learning models without sharing their private data. Motivated by the effectiveness and robustness of…

Machine Learning · Computer Science 2022-11-16 Jinyu Chen , Wenchao Xu , Song Guo , Junxiao Wang , Jie Zhang , Haozhao Wang

Diffusion models are widely used for generative tasks across domains. Given a pre-trained diffusion model, it is often desirable to fine-tune it further either to correct for errors in learning or to align with downstream applications.…

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