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In this article, we consider the sparse tensor singular value decomposition, which aims for dimension reduction on high-dimensional high-order data with certain sparsity structure. A method named Sparse Tensor Alternating Thresholding for…

Statistics Theory · Mathematics 2024-07-09 Anru Zhang , Rungang Han

This thesis gives an overview of the state-of-the-art randomized linear algebra algorithms for singular value decomposition (SVD), including the presentation of existing pseudo-codes and theoretical error analysis. Our main focus is on…

Optimization and Control · Mathematics 2024-02-29 Xiaowen Li

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

The complexity of state-of-the-art Transformer-based models for skeleton-based action recognition poses significant challenges in terms of computational efficiency and resource utilization. In this paper, we explore the application of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Soroush Oraki , Harry Zhuang , Jie Liang

This paper addresses the problem of efficiently classifying high-dimensional data over decentralized networks. Penalized support vector machines (SVMs) are widely used for high-dimensional classification tasks. However, the double…

Machine Learning · Statistics 2025-03-11 Canyi Chen , Nan Qiao , Liping Zhu

Large Language Models (LLMs) struggle with reliably generating highly structured outputs, such as program code, mathematical formulas, or well-formed markup. Constrained decoding approaches mitigate this problem by greedily restricting what…

Artificial Intelligence · Computer Science 2025-12-15 Kanghee Park , Jiayu Wang , Taylor Berg-Kirkpatrick , Nadia Polikarpova , Loris D'Antoni

Large language models deliver strong performance across language and reasoning tasks, but their storage and compute costs remain major barriers to deployment in resource-constrained and latency-sensitive settings. SVD-based post-training…

Machine Learning · Computer Science 2026-05-18 Ali Abbasi , Chayne Thrash , Haoran Qin , Hamed Pirsiavash , Soheil Kolouri

While transfer learning is an effective strategy, it often overlooks the opportunity to leverage knowledge from numerous available models online. Addressing this multi-source transfer learning problem is a promising path to boost…

Machine Learning · Computer Science 2026-04-24 Marcin Osial , Bartosz Wójcik , Bartosz Zieliński , Sebastian Cygert

Low-rank approximation methods such as singular value decomposition (SVD) and its variants (e.g., Fisher-weighted SVD, Activation SVD) have recently emerged as effective tools for neural network compression. In this setting, decomposition…

Machine Learning · Computer Science 2025-12-02 Haoran Qin , Shansita Sharma , Ali Abbasi , Chayne Thrash , Soheil Kolouri

Large language models (LLMs) have revolutionized how we interact with technology, but their personalization to individual user preferences remains a significant challenge, particularly in on-device applications. Traditional methods often…

Computation and Language · Computer Science 2024-09-26 Rafael Mendoza , Isabella Cruz , Richard Liu , Aarav Deshmukh , David Williams , Jesscia Peng , Rohan Iyer

Speculative Decoding (SD) accelerates large language model inference by employing a small draft model to generate predictions, which are then verified by a larger target model. The effectiveness of SD hinges on the alignment between these…

Computation and Language · Computer Science 2025-10-23 Yuezhou Hu , Jiaxin Guo , Xinyu Feng , Tuo Zhao

Audio-Visual Speech Recognition (AVSR) has achieved remarkable progress in offline conditions, yet its robustness in real-world video conferencing (VC) remains largely unexplored. This paper presents the first systematic evaluation of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Yihuan Huang , Jun Xue , Liu Jiajun , Daixian Li , Tong Zhang , Zhuolin Yi , Yanzhen Ren , Kai Li

For data-constrained, complex and dynamic industrial environments, there is a critical need for transferable and multimodal methodologies to enhance anomaly detection and therefore, prevent costs associated with system failures. Typically,…

The incremental singular value decomposition (SVD) updates a truncated SVD as new columns arrive, replacing a single large SVD with a sequence of small ones. In floating-point arithmetic, each update multiplies the running singular basis by…

Numerical Analysis · Mathematics 2026-05-05 Yangwen Zhang

Pruning large language models (LLMs) is a promising solution for reducing model sizes and computational complexity while preserving performance. Traditional layer-wise pruning methods often adopt a uniform sparsity approach across all…

Computation and Language · Computer Science 2025-05-22 Chuan Sun , Han Yu , Lizhen Cui , Xiaoxiao Li

Singular value decomposition (SVD) is a standard matrix factorization technique that produces optimal low-rank approximations of matrices. It has diverse applications, including machine learning, data science and signal processing. However,…

Mathematical Software · Computer Science 2019-07-16 Vadim Demchik , Miroslav Bačák , Stefan Bordag

Low-rank gradient-based optimization methods have significantly improved memory efficiency during the training of large language models (LLMs), enabling operations within constrained hardware without sacrificing performance. However, these…

Machine Learning · Computer Science 2025-10-28 Yehonathan Refael , Guy Smorodinsky , Tom Tirer , Ofir Lindenbaum

Large pre-trained Transformer models achieve state-of-the-art results across diverse language and reasoning tasks, but full fine-tuning incurs substantial storage, memory, and computational overhead. Parameter-efficient fine-tuning (PEFT)…

Machine Learning · Computer Science 2025-06-19 Yee Hin Chong , Peng Qu

This study presents an ensemble technique, SPQ (SVD-Pruning-Quantization), for large language model (LLM) compression that combines variance-retained singular value decomposition (SVD), activation-based pruning, and post-training linear…

Computation and Language · Computer Science 2026-02-23 Jiamin Yao , Eren Gultepe

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