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The tensor-train (TT) decomposition is widely used to compress large tensors into a more compact form by exploiting their inherent data structures. A fundamental approach for constructing the TT format is the well-known TT-SVD method, which…

Numerical Analysis · Mathematics 2026-05-26 Yuchao Wang , Maolin Che , Yimin Wei

Truncated singular value decomposition (SVD), also known as the best low-rank matrix approximation, has been successfully applied to many domains such as biology, healthcare, and others, where high-dimensional datasets are prevalent. To…

Optimization and Control · Mathematics 2022-08-09 Yongchun Li , Weijun Xie

Speculative Decoding has emerged as a popular technique for accelerating inference in Large Language Models. However, most existing approaches yield only modest improvements in production serving systems. Methods that achieve substantial…

Computation and Language · Computer Science 2026-01-08 Michele Marzollo , Jiawei Zhuang , Niklas Roemer , Niklas Zwingenberger , Lorenz K. Müller , Lukas Cavigelli

Higher-order tensor decompositions are analogous to the familiar Singular Value Decomposition (SVD), but they transcend the limitations of matrices (second-order tensors). SVD is a powerful tool that has achieved impressive results in…

Machine Learning · Computer Science 2007-11-14 Peter D. Turney

The ever-increasing computational demands and deployment costs of large language models (LLMs) have spurred numerous compressing methods. Compared to quantization and unstructured pruning, SVD compression offers superior hardware…

Machine Learning · Computer Science 2025-06-26 Xuan Ding , Rui Sun , Yunjian Zhang , Xiu Yan , Yueqi Zhou , Kaihao Huang , Suzhong Fu , Chuanlong Xie , Yao Zhu

Vision-Language-Action (VLA) models built on pretrained Vision-Language Models (VLMs) show strong potential but are limited in practicality due to their large parameter counts. To mitigate this issue, using a lightweight VLM has been…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Chaojun Ni , Cheng Chen , Xiaofeng Wang , Zheng Zhu , Wenzhao Zheng , Boyuan Wang , Tianrun Chen , Guosheng Zhao , Haoyun Li , Zhehao Dong , Qiang Zhang , Yun Ye , Yang Wang , Guan Huang , Wenjun Mei

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

In this paper, we tackle the critical challenge of compressing large language models (LLMs) to facilitate their practical deployment and broader adoption. We introduce a novel post-training compression paradigm that focuses on low-rank…

Machine Learning · Computer Science 2025-03-24 Jun Lu , Tianyi Xu , Bill Ding , David Li , Yu Kang

Vision-and-Language Pre-training (VLP) has improved performance on various joint vision-and-language downstream tasks. Current approaches to VLP heavily rely on image feature extraction processes, most of which involve region supervision…

Machine Learning · Statistics 2021-06-11 Wonjae Kim , Bokyung Son , Ildoo Kim

Vision-Language Models (VLMs) have demonstrated strong performance on multimodal reasoning tasks, but their deployment remains challenging due to high inference latency and computational cost, particularly when processing high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2025-12-25 Putu Indah Githa Cahyani , Komang David Dananjaya Suartana , Novanto Yudistira

The rapid success of Vision Large Language Models (VLLMs) often depends on the high-resolution images with abundant visual tokens, which hinders training and deployment efficiency. Current training-free visual token compression methods…

Computer Vision and Pattern Recognition · Computer Science 2025-02-27 Jianjian Li , Junquan Fan , Feng Tang , Gang Huang , Shitao Zhu , Songlin Liu , Nian Xie , Wulong Liu , Yong Liao

Adapting billion-parameter language models to a downstream task is still costly, even with parameter-efficient fine-tuning (PEFT). We re-cast task adaptation as output-distribution alignment: the objective is to steer the output…

Computation and Language · Computer Science 2026-03-03 Senkang Hu , Xudong Han , Jinqi Jiang , Yihang Tao , Zihan Fang , Yong Dai , Sam Tak Wu Kwong , Yuguang Fang

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

Score Distillation Sampling (SDS) enables high-quality text-to-3D generation by supervising 3D models through the denoising of multi-view 2D renderings, using a pretrained text-to-image diffusion model to align with the input prompt and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Weimin Bai , Yubo Li , Weijian Luo , Wenzheng Chen , He Sun

This paper presents a post-processing algorithm for training fair neural network regression models that satisfy statistical parity, utilizing an explainable singular value decomposition (SVD) of the weight matrix. We propose a linear…

Machine Learning · Computer Science 2025-04-07 Zhiqun Zuo , Ding Zhu , Mohammad Mahdi Khalili

In this paper we propose novel methods for completion (from limited samples) and de-noising of multilinear (tensor) data and as an application consider 3-D and 4- D (color) video data completion and de-noising. We exploit the recently…

Computer Vision and Pattern Recognition · Computer Science 2014-10-31 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

To analyze the abundance of multidimensional data, tensor-based frameworks have been developed. Traditionally, the matrix singular value decomposition (SVD) is used to extract the most dominant features from a matrix containing the…

Machine Learning · Computer Science 2021-11-02 Katherine Keegan , Tanvi Vishwanath , Yihua Xu

Recent low-rank training methods, such as GaLore, have significantly reduced the memory required to optimize large language models (LLMs). However, these methods often suffer from time-consuming low-rank projection estimations. In…

Computation and Language · Computer Science 2024-12-31 Xutao Liao , Shaohui Li , Yuhui Xu , Zhi Li , Yu Liu , You He

Video Large Language Models (Video-LLMs) excel in video understanding but suffer from high inference latency during autoregressive generation. Speculative Decoding (SD) mitigates this by applying a draft-and-verify paradigm, yet existing…

Computation and Language · Computer Science 2026-04-10 Yicheng Ji , Jun Zhang , Jinpeng Chen , Cong Wang , Lidan Shou , Gang Chen , Huan Li

Image hash algorithms generate compact binary representations that can be quickly matched by Hamming distance, thus become an efficient solution for large-scale image retrieval. This paper proposes RV-SSDH, a deep image hash algorithm that…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Li Weng , Lingzhi Ye , Jiangmin Tian , Jiuwen Cao , Jianzhong Wang