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Low-rank optimization has emerged as a promising direction in training large language models (LLMs) to improve running time and reduce the memory usage of adaptive optimizers by constraining learning to a lower-dimensional space. Prior work…

Machine Learning · Computer Science 2025-10-09 Ionut-Vlad Modoranu , Mher Safaryan , Erik Schultheis , Max Ryabinin , Artem Chumachenko , Dan Alistarh

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

Computing eigenvalue decomposition (EVD) of a given linear operator, or finding its leading eigenvalues and eigenfunctions, is a fundamental task in many machine learning and scientific computing problems. For high-dimensional eigenvalue…

Machine Learning · Computer Science 2024-08-22 J. Jon Ryu , Xiangxiang Xu , H. S. Melihcan Erol , Yuheng Bu , Lizhong Zheng , Gregory W. Wornell

We study gradient compression methods to alleviate the communication bottleneck in data-parallel distributed optimization. Despite the significant attention received, current compression schemes either do not scale well or fail to achieve…

Machine Learning · Computer Science 2020-02-19 Thijs Vogels , Sai Praneeth Karimireddy , Martin Jaggi

This work studies the linear approximation of high-dimensional dynamical systems using low-rank dynamic mode decomposition (DMD). Searching this approximation in a data-driven approach is formalised as attempting to solve a low-rank…

Machine Learning · Statistics 2021-08-23 Patrick Héas , Cédric Herzet

Large Language Models (LLMs) have demonstrated impressive quality when applied to predictive tasks such as relevance ranking and semantic search. However, deployment of such LLMs remains prohibitively expensive for industry applications…

Current LLM structured pruning methods typically involve two steps: (1) compression with calibration data and (2) costly continued pretraining on billions of tokens to recover lost performance. This second step is necessary as the first…

Machine Learning · Computer Science 2024-12-31 Yaya Sy , Christophe Cerisara , Irina Illina

Low-Rank Adaptation (LoRA), which introduces a product of two trainable low-rank matrices into frozen pre-trained weights, is widely used for efficient fine-tuning of language models in federated learning (FL). However, when combined with…

Machine Learning · Computer Science 2025-10-28 Seanie Lee , Sangwoo Park , Dong Bok Lee , Dominik Wagner , Haebin Seong , Tobias Bocklet , Juho Lee , Sung Ju Hwang

Large Language Models (LLMs) have transformed both everyday life and scientific research. However, adapting LLMs from general-purpose models to specialized tasks remains challenging, particularly in resource-constrained environments.…

Machine Learning · Computer Science 2025-09-12 Hao Zhang , Bo Huang , Zhenjia Li , Xi Xiao , Hui Yi Leong , Zumeng Zhang , Xinwei Long , Tianyang Wang , Hao Xu

Singular value decomposition (SVD) and matrix inversion are ubiquitous in scientific computing. Both tasks are computationally demanding for large scale matrices. Existing algorithms can approximatively solve these problems with a given…

Numerical Analysis · Mathematics 2026-01-28 Weiwei Xu , Weijie Shen , Zhengjian Bai , Chen Xu

We propose a compression based continual task learning method that can dynamically grow a neural network. Inspired from the recent model compression techniques, we employ compression-aware training and perform low-rank weight approximations…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Varigonda Pavan Teja , Priyadarshini Panda

The efficient compression of large language models (LLMs) has become increasingly popular. However, recovering the performance of compressed LLMs remains a major challenge. The current practice in LLM compression entails the implementation…

Computation and Language · Computer Science 2024-12-17 Changhai Zhou , Shijie Han , Lining Yang , Yuhua Zhou , Xu Cheng , Yibin Wang , Hongguang Li

We introduce Variational Latent Mode Decomposition (VLMD), a new algorithm for extracting oscillatory modes and associated connectivity structures from multivariate signals. VLMD addresses key limitations of existing Multivariate Mode…

Machine Learning · Computer Science 2025-05-26 Manuel Morante , Naveed ur Rehman

Modern large language models (LLMs) place extraordinary pressure on memory and compute budgets, making principled compression indispensable for both deployment and continued training. We present Hierarchical Sparse Plus Low-Rank (HSS)…

Machine Learning · Computer Science 2026-01-14 Pawan Kumar , Aditi Gupta

This paper proposes a learning aided gradient descent (LAGD) algorithm to solve the weighted sum rate (WSR) maximization problem for multiple-input single-output (MISO) beamforming. The proposed LAGD algorithm directly optimizes the…

Signal Processing · Electrical Eng. & Systems 2022-07-26 Zhixiong Yang , Jing-Yuan Xia , Junshan Luo , Shuanghui Zhang , Deniz Gündüz

The rapid proliferation of large language models (LLMs) in natural language processing (NLP) has created a critical need for techniques that enable efficient deployment on memory-constrained devices without compromising performance. We…

Computation and Language · Computer Science 2025-02-03 James Seale Smith , Chi-Heng Lin , Shikhar Tuli , Haris Jeelani , Shangqian Gao , Yilin Shen , Hongxia Jin , Yen-Chang Hsu

Large Language Models (LLMs) have demonstrated remarkable capabilities across diverse natural language tasks but suffer from extremely large memory footprints and computational costs. In this paper, we introduce a tensor compression…

Machine Learning · Computer Science 2026-01-27 A. El Ichi , K. Jbilou

Most existing word embedding methods can be categorized into Neural Embedding Models and Matrix Factorization (MF)-based methods. However some models are opaque to probabilistic interpretation, and MF-based methods, typically solved using…

Computation and Language · Computer Science 2015-08-18 Shaohua Li , Jun Zhu , Chunyan Miao

The enormous parameter scale of large language models (LLMs) has made model compression a research hotspot, which aims to alleviate computational resource demands during deployment and inference. As a promising direction, low-rank…

Machine Learning · Computer Science 2025-07-08 Guangyan Li , Yongqiang Tang , Wensheng Zhang

Large Language Models (LLMs) have long held sway in the realms of artificial intelligence research. Numerous efficient techniques, including weight pruning, quantization, and distillation, have been embraced to compress LLMs, targeting…

Artificial Intelligence · Computer Science 2024-11-01 Xuan Shen , Pu Zhao , Yifan Gong , Zhenglun Kong , Zheng Zhan , Yushu Wu , Ming Lin , Chao Wu , Xue Lin , Yanzhi Wang