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A stagewise decomposition algorithm called value function gradient learning (VFGL) is proposed for large-scale multistage stochastic convex programs. VFGL finds the parameter values that best fit the gradient of the value function within a…

最优化与控制 · 数学 2022-10-06 Jinkyu Lee , Sanghyeon Bae , Woo Chang Kim , Yongjae Lee

Although large vision-language models (LVLMs) have demonstrated impressive capabilities in multi-modal understanding and reasoning, their practical applications are still limited by massive model parameters and high computational costs.…

计算机视觉与模式识别 · 计算机科学 2025-08-01 Ji Ma , Wei Suo , Peng Wang , Yanning Zhang

We propose LQ-SGD (Low-Rank Quantized Stochastic Gradient Descent), an efficient communication gradient compression algorithm designed for distributed training. LQ-SGD further develops on the basis of PowerSGD by incorporating the low-rank…

机器学习 · 计算机科学 2025-06-24 Hongyang Li , Lincen Bai , Caesar Wu , Mohammed Chadli , Said Mammar , Pascal Bouvry

We present local discriminative Gaussian (LDG) dimensionality reduction, a supervised dimensionality reduction technique for classification. The LDG objective function is an approximation to the leave-one-out training error of a local…

机器学习 · 计算机科学 2012-06-22 Nathan Parrish , Maya Gupta

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…

机器学习 · 计算机科学 2026-05-18 Ali Abbasi , Chayne Thrash , Haoran Qin , Hamed Pirsiavash , Soheil Kolouri

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,…

数值分析 · 数学 2016-11-09 Alessandro Alla , J. Nathan Kutz

For the efficient inference of Large Language Models (LLMs), the effective compression of key-value (KV) cache is essential. Three main types of KV cache compression techniques, namely sparsity, channel compression, and quantization, have…

机器学习 · 计算机科学 2025-02-24 Hong Yankun , Li Xing , Zhen Hui-Ling , Yu Xianzhi , Liu Wulong , Yuan Mingxuan

Low-rank plus diagonal (LRPD) decompositions provide a powerful structural model for large covariance matrices, simultaneously capturing global shared factors and localized corrections that arise in covariance estimation, factor analysis,…

数值分析 · 数学 2025-12-22 Kingsley Yeon , Mihai Anitescu

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…

计算与语言 · 计算机科学 2026-02-23 Jiamin Yao , Eren Gultepe

Deep Neural Networks (DNNs) have been a large driver for AI breakthroughs in recent years. However, these models have been getting increasingly large as they become more accurate and safe. This means that their training becomes increasingly…

机器学习 · 计算机科学 2024-06-17 Samuel Horvath , Stefanos Laskaridis , Shashank Rajput , Hongyi Wang

Large language models (LLMs) are increasingly prevalent across diverse applications. However, their enormous size limits storage and processing capabilities to a few well-resourced stakeholders. As a result, most applications rely on…

计算与语言 · 计算机科学 2025-11-05 Mohammadsajad Alipour , Mohammad Mohammadi Amiri

Large language models (LLM) have achieved remarkable performance across a wide range of tasks. However, their substantial parameter sizes pose significant challenges for deployment on edge devices with limited computational and memory…

The truncated singular value decomposition (SVD) of the measurement matrix is the optimal solution to the_representation_ problem of how to best approximate a noisy measurement matrix using a low-rank matrix. Here, we consider the…

统计理论 · 数学 2014-04-21 Raj Rao Nadakuditi

Traditional recommendation algorithms are not designed to provide personalized recommendations based on user preferences provided through text, e.g., "I enjoy light-hearted comedies with a lot of humor". Large Language Models (LLMs) have…

信息检索 · 计算机科学 2025-07-11 Aaron Goldstein , Ayan Dutta

Filter pruning and low-rank decomposition are two of the foundational techniques for structured compression. Although recent efforts have explored hybrid approaches aiming to integrate the advantages of both techniques, their performance…

机器学习 · 计算机科学 2023-09-26 Moonjung Eo , Suhyun Kang , Wonjong Rhee

Large language models (LLMs) offer a scalable mechanism to elicit domain-informed prior information for high-dimensional variable selection. However, existing methods such as LLM-Lasso are sensitive to weight quality, with performance…

机器学习 · 统计学 2026-05-25 Caleb Skinner , Yihan Guo , Meng Li

In recent years, the compression of large language models (LLMs) has emerged as a key problem in facilitating LLM deployment on resource-limited devices, reducing compute costs, and mitigating the environmental footprint due to large-scale…

机器学习 · 计算机科学 2025-05-07 Sean I. Young

This paper introduces a novel optimization algorithm designed for nonlinear least-squares problems. The method is derived by preconditioning the gradient descent direction using the Singular Value Decomposition (SVD) of the Jacobian. This…

数值分析 · 数学 2026-02-11 Zhipeng Chang , Wenrui Hao , Nian Liu

Federated learning is a rapidly-growing area of research which enables a large number of clients to jointly train a machine learning model on privately-held data. One of the largest barriers to wider adoption of federated learning is the…

机器学习 · 计算机科学 2021-12-07 Luke Melas-Kyriazi , Franklyn Wang

Conventional research on large language models (LLMs) has primarily focused on refining output distributions, while paying less attention to the decoding process that transforms these distributions into final responses. Recent advances,…

计算与语言 · 计算机科学 2025-10-28 Chenheng Zhang , Tianqi Du , Jizhe Zhang , Mingqing Xiao , Yifei Wang , Yisen Wang , Zhouchen Lin