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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

A randomized algorithm for computing a compressed representation of a given rank-structured matrix $A \in \mathbb{R}^{N\times N}$ is presented. The algorithm interacts with $A$ only through its action on vectors. Specifically, it draws two…

Numerical Analysis · Mathematics 2024-06-25 James Levitt , Per-Gunnar Martinsson

Feature selection is a crucial step in machine learning, especially for high-dimensional datasets, where irrelevant and redundant features can degrade model performance and increase computational costs. This paper proposes a novel…

Neural and Evolutionary Computing · Computer Science 2024-10-30 Azam Asilian Bidgoli , Shahryar Rahnamayan

Large biological datasets are being produced at a rapid pace and create substantial storage challenges, particularly in the domain of high-throughput sequencing (HTS). Most approaches currently used to store HTS data are either unable to…

Quantitative Methods · Quantitative Biology 2014-03-05 Fabien Campagne , Kevin C. Dorff , Nyasha Chambwe , James T. Robinson , Jill P. Mesirov , Thomas D. Wu

Token-level sparse attention mechanisms, exemplified by DeepSeek Sparse Attention (DSA), achieve fine-grained key selection by scoring every historical key for each query through a lightweight indexer, then computing attention only on the…

Recently, large language models (LLMs) have shown surprising performance in task-specific workloads as well as general tasks with the given prompts. However, to achieve unprecedented performance, recent LLMs use billions to trillions of…

Machine Learning · Computer Science 2024-06-21 Geonhwa Jeong , Po-An Tsai , Stephen W. Keckler , Tushar Krishna

We propose a new iteratively reweighted least squares (IRLS) algorithm for the recovery of a matrix $X \in \mathbb{C}^{d_1\times d_2}$ of rank $r \ll\min(d_1,d_2)$ from incomplete linear observations, solving a sequence of low complexity…

Numerical Analysis · Mathematics 2018-02-28 Christian Kümmerle , Juliane Sigl

The resource requirements of neural networks can be significantly reduced through pruning - the removal of seemingly less important parameters. However, for LLMs, full retraining to recover pruning-induced performance degradation is often…

Machine Learning · Computer Science 2026-02-03 Max Zimmer , Christophe Roux , Moritz Wagner , Deborah Hendrych , Sebastian Pokutta

Supervised Fine-Tuning (SFT) accelerates taskspecific large language models (LLMs) development, but the resulting proliferation of finetuned models incurs substantial memory overhead. Delta compression addresses this by retaining a single…

Machine Learning · Computer Science 2026-04-21 Junlin Li , Shuangyong Song , Guodong Du , Ngai Wong , Xuebo Liu , Yongxiang Li , Min Zhang , Jing Li , Xuelong Li

With increasing size of large language models (LLMs), full-parameter fine-tuning imposes substantial memory demands. To alleviate this, we propose a novel memory-efficient training paradigm called Momentum Low-rank compression (MLorc). The…

Machine Learning · Computer Science 2026-04-28 Wei Shen , Zhang Yaxiang , Minhui Huang , Mengfan Xu , Jiawei Zhang , Cong Shen

The design of Large Language Models (LLMs) has long been hampered by a fundamental conflict within their core attention mechanism: its remarkable expressivity is built upon a computational complexity of O(H N^2) that grows quadratically…

Machine Learning · Computer Science 2025-12-01 Mingkuan Zhao , Wentao Hu , Jiayin Wang , Xin Lai , Tianchen Huang , Yuheng Min , Rui Yan , Xiaoyan Zhu

To enhance the efficiency of the attention mechanism within large language models (LLMs), previous works primarily compress the KV cache or group attention heads, while largely overlooking redundancy between layers. Our comprehensive…

Computation and Language · Computer Science 2025-10-20 Yongyu Mu , Yuzhang Wu , Yuchun Fan , Chenglong Wang , Hengyu Li , Jiali Zeng , Qiaozhi He , Murun Yang , Fandong Meng , Jie Zhou , Tong Xiao , Jingbo Zhu

In modern large language models (LLMs), increasing the context length is crucial for improving comprehension and coherence in long-context, multi-modal, and retrieval-augmented language generation. While many recent transformer models…

Computation and Language · Computer Science 2025-01-24 Heejun Lee , Geon Park , Youngwan Lee , Jaduk Suh , Jina Kim , Wonyoung Jeong , Bumsik Kim , Hyemin Lee , Myeongjae Jeon , Sung Ju Hwang

Large language model (LLM) routing aims to exploit the specialized strengths of different LLMs for diverse tasks. However, existing approaches typically focus on selecting LLM architectures while overlooking parameter settings, which are…

Computation and Language · Computer Science 2026-01-12 Zihang Tian , Rui Li , Jingsen Zhang , Xiaohe Bo , Wei Huo , Xu Chen

Existing parameter-efficient fine-tuning (PEFT) methods for large language models (LLMs), such as LoRA and PiSSA, constrain model updates to low-rank subspaces, limiting their expressiveness and leading to suboptimal performance on complex…

Machine Learning · Computer Science 2025-09-29 Yiding Wang , Fauxu Meng , Xuefeng Zhang , Fan Jiang , Pingzhi Tang , Muhan Zhang

Although Multimodal Large Language Models (MLLMs) have demonstrated remarkable capabilities in vision, language, and video understanding tasks, scaling them to long-form speech remains a critical bottleneck due to the explosive growth of…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-03 Junseok Lee , Sangyong Lee , Chang-Jae Chun

The hidden Markov model (HMM) is a fundamental tool for sequence modeling that cleanly separates the hidden state from the emission structure. However, this separation makes it difficult to fit HMMs to large datasets in modern NLP, and they…

Computation and Language · Computer Science 2020-11-10 Justin T. Chiu , Alexander M. Rush

A key advantage of Recurrent Neural Networks (RNNs) over Transformers is their linear computational and space complexity enables faster training and inference for long sequences. However, RNNs are fundamentally unable to randomly access…

Computation and Language · Computer Science 2025-11-04 Xiang Hu , Jiaqi Leng , Jun Zhao , Kewei Tu , Wei Wu

Pruning is an effective method for compressing Large Language Models, but finding an optimal, non-uniform layer-wise sparsity allocation remains a key challenge. While heuristic methods are fast but yield suboptimal performance, more…

Machine Learning · Computer Science 2025-11-25 Xin Yuan , Siqi Li , Jiateng Wei , Chengrui Zhu , Yanming Wu , Qingpeng Li , Jiajun Lv , Xiaoke Lan , Jun Chen , Yong Liu

Recent work on pruning large language models (LLMs) has shown that one can eliminate a large number of parameters without compromising performance, making pruning a promising strategy to reduce LLM model size. Existing LLM pruning…

Machine Learning · Computer Science 2024-10-16 Haiquan Lu , Yefan Zhou , Shiwei Liu , Zhangyang Wang , Michael W. Mahoney , Yaoqing Yang
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