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This paper proposes a reduced-rank scheme for adaptive beamforming based on the constrained joint iterative optimization of filters. We employ this scheme to devise two novel reduced-rank adaptive algorithms according to the constant…

Information Theory · Computer Science 2013-03-08 Lei Wang , Rodrigo C. de Lamare

The Key-Value (KV) cache is a crucial component in serving transformer-based autoregressive large language models (LLMs), enabling faster inference by storing previously computed KV vectors. However, its memory consumption scales linearly…

Machine Learning · Computer Science 2024-10-07 Rongzhi Zhang , Kuang Wang , Liyuan Liu , Shuohang Wang , Hao Cheng , Chao Zhang , Yelong Shen

We propose Quantum-informed Tensor Adaptation (QuanTA), a novel, easy-to-implement, fine-tuning method with no inference overhead for large-scale pre-trained language models. By leveraging quantum-inspired methods derived from quantum…

Machine Learning · Computer Science 2025-11-11 Zhuo Chen , Rumen Dangovski , Charlotte Loh , Owen Dugan , Di Luo , Marin Soljačić

Low-Rank Adaptation (LoRA) has proven effective in reducing computational costs while maintaining performance comparable to fully fine-tuned foundation models across various tasks. However, its fixed low-rank structure restricts its…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Chuyan Zhang , Kefan Wang , Yun Gu

How to adapt a pre-trained model continuously for sequential tasks with different prediction class labels and domains and finally learn a generalizable model across diverse tasks is a long-lasting challenge. Continual learning (CL) has…

Machine Learning · Computer Science 2025-04-15 Xiaobing Yu , Jin Yang , Xiao Wu , Peijie Qiu , Xiaofeng Liu

Low-rank optimization has emerged as a promising approach to enabling memory-efficient training of large language models (LLMs). Existing low-rank optimization methods typically project gradients onto a low-rank subspace, reducing the…

Machine Learning · Computer Science 2025-12-15 Haochen Zhang , Junze Yin , Guanchu Wang , Zirui Liu , Lin F. Yang , Tianyi Zhang , Anshumali Shrivastava , Vladimir Braverman

Large pre-trained models are commonly adapted to downstream tasks using parameter-efficient fine-tuning methods such as Low-Rank Adaptation (LoRA), which injects small trainable low-rank matrices instead of updating all weights. While LoRA…

Machine Learning · Computer Science 2026-03-10 Nurbek Tastan , Stefanos Laskaridis , Martin Takac , Karthik Nandakumar , Samuel Horvath

The rapid advancements in large language models (LLMs) have revolutionized natural language processing, creating an increased need for efficient, task-specific fine-tuning methods. Traditional fine-tuning of LLMs involves updating a large…

Computation and Language · Computer Science 2024-11-26 Ayush Singh , Rajdeep Aher , Shivank Garg

This paper presents a randomized algorithm for computing the near-optimal low-rank dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to compute low-rank matrix approximations at a fraction of the cost of…

Numerical Analysis · Mathematics 2019-11-28 N. Benjamin Erichson , Lionel Mathelin , Steven L. Brunton , J. Nathan Kutz

Fine-tuning large language models (LLMs) for specialized domains often necessitates a trade-off between acquiring domain expertise and retaining general reasoning capabilities, a phenomenon known as catastrophic forgetting. Existing…

Machine Learning · Computer Science 2026-02-09 Xiyang Zhang , Yuanhe Tian , Hongzhi Wang , Yan Song

This paper, broadly speaking, covers the use of randomness in two main areas: low-rank approximation and kernel methods. Low-rank approximation is very important in numerical linear algebra. Many applications depend on matrix decomposition…

Numerical Analysis · Mathematics 2020-08-12 Rishi Advani , Madison Crim , Sean O'Hagan

Large Language Models (LLMs) exhibit substantial parameter redundancy, particularly in Feed-Forward Networks (FFNs). Existing pruning methods suffer from two primary limitations. First, reliance on dataset-specific calibration introduces…

Computation and Language · Computer Science 2026-02-02 Abhishek Tyagi , Yunuo Cen , Shrey Dhorajiya , Bharadwaj Veeravalli , Xuanyao Fong

Supervised Fine-Tuning (SFT) of the language backbone plays a pivotal role in adapting Vision-Language Models (VLMs) to specialized domains such as medical reasoning. However, existing SFT practices often rely on unfiltered textual datasets…

Computation and Language · Computer Science 2026-03-17 Xinlin Zhuang , Feilong Tang , Haolin Yang , Xiwei Liu , Ming Hu , Huifa Li , Haochen Xue , Junjun He , Zongyuan Ge , Yichen Li , Ying Qian , Imran Razzak

Deep neural networks have achieved great success in many data processing applications. However, the high computational complexity and storage cost makes deep learning hard to be used on resource-constrained devices, and it is not…

Machine Learning · Computer Science 2023-03-27 Xinwei Ou , Zhangxin Chen , Ce Zhu , Yipeng Liu

While Large Language Models (LLMs) have revolutionized artificial intelligence, fine-tuning LLMs is extraordinarily computationally expensive, preventing smaller businesses and research teams with limited GPU resources from engaging with…

Machine Learning · Computer Science 2025-08-26 Daniel Frees , Aditri Bhagirath , Moritz Bolling

Coded distributed computation has become common practice for performing gradient descent on large datasets to mitigate stragglers and other faults. This paper proposes a novel algorithm that encodes the partial derivatives themselves and…

Machine Learning · Computer Science 2022-06-22 Pedro Soto , Ilia Ilmer , Haibin Guan , Jun Li

Existing prompt-tuning methods have demonstrated impressive performances in continual learning (CL), by selecting and updating relevant prompts in the vision-transformer models. On the contrary, this paper aims to learn each task by tuning…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Yue Lu , Shizhou Zhang , De Cheng , Yinghui Xing , Nannan Wang , Peng Wang , Yanning Zhang

Training large language models (LLMs) for pretraining or adapting to new tasks and domains has become increasingly critical as their applications expand. However, as the model and the data sizes grow, the training process presents…

Machine Learning · Computer Science 2024-12-17 Amrutha Varshini Ramesh , Vignesh Ganapathiraman , Issam H. Laradji , Mark Schmidt

This work develops a novel set of algorithms, alternating Gradient Descent (GD) and minimization for MRI (altGDmin-MRI1 and altGDmin-MRI2), for accelerated dynamic MRI by assuming an approximate low-rank (LR) model on the matrix formed by…

Image and Video Processing · Electrical Eng. & Systems 2024-11-13 Silpa Babu , Sajan Goud Lingala , Namrata Vaswani

The rapid growth of large language models (LLMs) with traditional centralized fine-tuning emerges as a key technique for adapting these models to domain-specific challenges, yielding privacy risks for both model and data owners. One…

Computation and Language · Computer Science 2025-07-08 Kai Yao , Zhaorui Tan , Penglei Gao , Lichun Li , Kaixin Wu , Yinggui Wang , Yuan Zhao , Yixin Ji , Wei Wang , Jianke Zhu