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Sparse plus Low-Rank $(\mathbf{S} + \mathbf{LR})$ decomposition of Large Language Models (LLMs) has emerged as a promising direction in model compression, aiming to decompose pre-trained model weights into a sum of sparse and low-rank…

机器学习 · 计算机科学 2026-03-03 Mehdi Makni , Xiang Meng , Rahul Mazumder

We propose a distributed algorithm for solving the optimization problem Basis Pursuit (BP). BP finds the least L1-norm solution of the underdetermined linear system Ax = b and is used, for example, in compressed sensing for reconstruction.…

最优化与控制 · 数学 2012-03-15 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Deep learning-based image compression algorithms typically focus on designing encoding and decoding networks and improving the accuracy of entropy model estimation to enhance the rate-distortion (RD) performance. However, few algorithms…

图像与视频处理 · 电气工程与系统科学 2024-10-08 Junhui Li , Jutao Li , Xingsong Hou , Huake Wang

The parallel alternating direction method of multipliers (ADMM) algorithm is widely recognized for its effectiveness in handling large-scale datasets stored in a distributed manner, making it a popular choice for solving statistical…

机器学习 · 统计学 2023-11-22 Xiaofei Wu , Zhimin Zhang , Zhenyu Cui

A restricted Boltzmann machine (RBM) is a two-layer neural network with shared weights and has been extensively studied for dimensionality reduction, data representation and recommendation systems in the literature. The traditional RBM…

机器学习 · 计算机科学 2026-05-27 Jiangsheng You , Chun-Yen Liu

The high-order relations between the content in social media sharing platforms are frequently modeled by a hypergraph. Either hypergraph Laplacian matrix or the adjacency matrix is a big matrix. Randomized algorithms are used for low-rank…

社会与信息网络 · 计算机科学 2019-08-23 Georgios Karantaidis , Ioannis Sarridis , Constantine Kotropoulos

Reconstructing large-scale latent networks from observed dynamics is crucial for understanding complex systems. However, the existing methods based on compressive sensing are often rendered infeasible in practice by prohibitive…

统计理论 · 数学 2025-08-20 Zhaoyu Xing , Wei Zhong

Adaptive gradient methods have been increasingly adopted by deep learning community due to their fast convergence and reduced sensitivity to hyper-parameters. However, these methods come with limitations, such as increased memory…

机器学习 · 计算机科学 2024-12-17 Corrado Coppola , Lorenzo Papa , Irene Amerini , Laura Palagi

Ordering vertices of a graph is key to minimize fill-in and data structure size in sparse direct solvers, maximize locality in iterative solvers, and improve performance in graph algorithms. Except for naturally parallelizable ordering…

分布式、并行与集群计算 · 计算机科学 2016-10-27 Ariful Azad , Mathias Jacquelin , Aydin Buluc , Esmond G. Ng

Shared-memory parallelization (SMP) strategies for density matrix renormalization group (DMRG) algorithms enable the treatment of complex systems in solid state physics. We present two different approaches by which parallelization of the…

强关联电子 · 物理学 2009-11-10 G. Hager , E. Jeckelmann , H. Fehske , G. Wellein

We introduce the Linearized Diffusion Map (LDM), a novel linear dimensionality reduction method constructed via a linear approximation of the diffusion-map kernel. LDM integrates the geometric intuition of diffusion-based nonlinear methods…

机器学习 · 计算机科学 2025-07-22 Julio Candanedo

Existing reduced-dimension beam-Doppler space-time adaptive processing (RD-BD-STAP) algorithms are confined to the beam-Doppler cells used for adaptation, which often leads to some performance degradation. In this work, a novel…

信号处理 · 电气工程与系统科学 2019-03-06 Zhaocheng Yang , Rodrigo C. de Lamare

The ability of widely distributed radar systems to capture diverse spatial scattering properties substantially improves radar imaging performance. Traditional imaging methods leverage regularized optimization techniques to reconstruct…

信号处理 · 电气工程与系统科学 2023-07-18 Ahmed Murtada , Bhavani Shankar Mysore Rama Rao , Udo Schroeder

Linear discriminant analysis (LDA) is a classical method for dimensionality reduction, where discriminant vectors are sought to project data to a lower dimensional space for optimal separability of classes. Several recent papers have…

统计计算 · 统计学 2022-03-04 Summer Atkins , Gudmundur Einarsson , Brendan Ames , Line Clemmensen

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)…

机器学习 · 计算机科学 2026-01-14 Pawan Kumar , Aditi Gupta

This work studies distributed compression for the uplink of a cloud radio access network where multiple multi-antenna base stations (BSs) are connected to a central unit, also referred to as cloud decoder, via capacity-constrained backhaul…

信息论 · 计算机科学 2012-06-19 Seok-Hwan Park , Osvaldo Simeone , Onur Sahin , Shlomo Shamai

Image rescaling (IR) seeks to determine the optimal low-resolution (LR) representation of a high-resolution (HR) image to reconstruct a high-quality super-resolution (SR) image. Typically, HR images with resolutions exceeding 2K possess…

图像与视频处理 · 电气工程与系统科学 2024-12-17 Jian Li , Siwang Zhou

Nowadays, huge amounts of data are naturally collected in distributed sites due to different facts and moving these data through the network for extracting useful knowledge is almost unfeasible for either technical reasons or policies.…

数据库 · 计算机科学 2017-03-30 Lamine M. Aouad , Nhien-An Le-Khac , Tahar Kechadi

The latest advancements in neural image compression show great potential in surpassing the rate-distortion performance of conventional standard codecs. Nevertheless, there exists an indelible domain gap between the datasets utilized for…

图像与视频处理 · 电气工程与系统科学 2023-08-16 Yue Lv , Jinxi Xiang , Jun Zhang , Wenming Yang , Xiao Han , Wei Yang

In this paper, we propose Distributed Mirror Descent (DMD) algorithm for constrained convex optimization problems on a (strongly-)connected multi-agent network. We assume that each agent has a private objective function and a constraint…

最优化与控制 · 数学 2015-04-28 Chenguang Xi , Qiong Wu , Usman A. Khan