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Diffusion-based Large Language Models (dLLMs) have emerged as a competitive alternative to autoregressive models, offering unique advantages through bidirectional attention and parallel generation paradigms. However, the generation results…

Computation and Language · Computer Science 2025-10-07 Yifeng Gao , Ziang Ji , Yuxuan Wang , Biqing Qi , Hanlin Xu , Linfeng Zhang

Singular value decomposition (SVD) is widely used for dimensionality reduction and noise suppression, and it plays a pivotal role in numerous scientific and engineering applications. As the dimensions of the matrix grow rapidly, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-26 Fangqiang Du , Sixuan Chong , Zixuan Huang , Rui Qin , Fengnan Mi , Caibao Hu , Jiangang Chen

In this paper, we present a Rank Revealing Randomized Singular Value Decomposition (R3SVD) algorithm to incrementally construct a low-rank approximation of a potentially large matrix while adaptively estimating the appropriate rank that can…

Numerical Analysis · Computer Science 2016-05-27 Hao Ji , Wenjian Yu , Yaohang Li

Singular Value Decomposition (SVD) is a technique based on linear projection theory, which has been frequently used for data analysis. It constitutes an optimal (in the sense of least squares) decomposition of a matrix in the most relevant…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Pau Erola , Javier Borge-Holthoefer , Sergio Gomez , Alex Arenas

Smooth convex minimization over the unit trace-norm ball is an important optimization problem in machine learning, signal processing, statistics and other fields, that underlies many tasks in which one wishes to recover a low-rank matrix…

Optimization and Control · Mathematics 2020-12-01 Dan Garber

Efficient key-value (KV) cache management is crucial for the practical deployment of large language models (LLMs), yet existing compression techniques often incur a trade-off between performance degradation and computational overhead. We…

Machine Learning · Computer Science 2026-02-10 Jang-Hyun Kim , Dongyoon Han , Sangdoo Yun

Training large language models (LLMs) is highly memory-intensive, as training must store not only weights and optimizer states but also intermediate activations for backpropagation. While existing memory-efficient methods largely focus on…

Machine Learning · Computer Science 2026-05-05 Wen-Da Wei , Han-Bin Fang , Yang-Di Liu , Jiang-Xin Shi , James Kwok , Yu-Feng Li

While Convolutional Neural Networks (CNNs) excel at learning complex latent-space representations, their over-parameterization can lead to overfitting and reduced performance, particularly with limited data. This, alongside their high…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Manish Sharma , Jamison Heard , Eli Saber , Panos P. Markopoulos

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…

Effective suppression of surface-related multiples is essential to prevent imaging artifacts and erroneous structural interpretations. While conventional approaches rely on accurate priors or subsurface model knowledge, and supervised…

Geophysics · Physics 2026-05-01 Huan Song , Shijun Cheng , Huanhuan Tang , Wei Ouyang , Weijian Mao

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

Singular value decomposition (SVD) has a crucial role in model order reduction. It is often utilized in the offline stage to compute basis functions that project the high-dimensional nonlinear problem into a low-dimensionsl model which is,…

Numerical Analysis · Mathematics 2016-11-09 Alessandro Alla , J. Nathan Kutz

Large language models (LLMs) have demonstrated remarkable performance, but their long-context reasoning remains constrained by the excessive memory required for the Key-Value (KV) cache. This makes KV cache compression a critical step…

Machine Learning · Computer Science 2025-09-30 Xianglong Yan , Zhiteng Li , Tianao Zhang , Haotong Qin , Linghe Kong , Yulun Zhang , Xiaokang Yang

We propose a new method for compressing physics foundation models (PFMs) which is a new trend in AI for Science. While model compression is essential for reducing memory use and accelerating inference in large foundation models, it remains…

Machine Learning · Computer Science 2026-05-19 Chengjie Hong , Feixiang He , Yiheng Zeng , Lulu Kang , He Wang

Speculative decoding (SD) has emerged as a widely used paradigm to accelerate LLM inference without compromising quality. It works by first employing a compact model to draft multiple tokens efficiently and then using the target LLM to…

Computation and Language · Computer Science 2025-03-07 Heming Xia , Yongqi Li , Jun Zhang , Cunxiao Du , Wenjie Li

Low-rank gradient compression methods, such as PowerSGD, have gained attention in communication-efficient distributed optimization. However, the convergence guarantees of PowerSGD remain unclear, particularly in stochastic settings. In this…

Optimization and Control · Mathematics 2025-09-16 Shengping Xie , Chuyan Chen , Kun Yuan

Multi-modal Large Language Models (MLLMs) serving systems commonly employ KV-cache compression to reduce memory footprint. However, existing compression methods introduce significant processing overhead and queuing delays, particularly in…

Multimedia · Computer Science 2025-03-12 Jianian Zhu , Hang Wu , Haojie Wang , Yinghui Li , Biao Hou , Ruixuan Li , Jidong Zhai

A growing trend has emerged in designing high-quality Small Language Models (SLMs) with a few million parameters. This trend is driven by the increasing concerns over cloud costs, privacy, and latency. Considering that full parameter…

Machine Learning · Computer Science 2025-07-03 Xuan Shen , Peiyan Dong , Zhenglun Kong , Yifan Gong , Changdi Yang , Zhaoyang Han , Yanyue Xie , Lei Lu , Cheng Lyu , Chao Wu , Yanzhi Wang , Pu Zhao

Context lengths of Large Language Models (LLMs) have exploded in recent years, with 128k-token context becoming a standard and million-token context becoming a reality. Efficiently supporting long-context inference remains challenging as…

Computation and Language · Computer Science 2024-10-08 Isaac Rehg

Low Rank Decomposition (LRD) is a model compression technique applied to the weight tensors of deep learning models in order to reduce the number of trainable parameters and computational complexity. However, due to high number of new…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Yang Liu