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We propose a distributed algorithm based on Alternating Direction Method of Multipliers (ADMM) to minimize the sum of locally known convex functions using communication over a network. This optimization problem emerges in many applications…

最优化与控制 · 数学 2016-01-05 Ali Makhdoumi , Asuman Ozdaglar

In this paper, we present secure distributed matrix multiplication (SDMM) schemes over the complex numbers with good numerical stability and small mutual information leakage by utilizing polynomial interpolation with roots of unity.…

信息论 · 计算机科学 2025-08-26 Okko Makkonen , Camilla Hollanti

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

In this paper we propose a distributed implementation of the relaxed Alternating Direction Method of Multipliers algorithm (R-ADMM) for optimization of a separable convex cost function, whose terms are stored by a set of interacting agents,…

最优化与控制 · 数学 2024-05-07 Nicola Bastianello , Marco Todescato , Ruggero Carli , Luca Schenato

In a large-scale and distributed matrix multiplication problem $C=A^{\intercal}B$, where $C\in\mathbb{R}^{r\times t}$, the coded computation plays an important role to effectively deal with "stragglers" (distributed computations that may…

分布式、并行与集群计算 · 计算机科学 2018-04-19 Sinong Wang , Jiashang Liu , Ness Shroff

We address the channel estimation (CE) problem in reconfigurable intelligent surface (RIS) aided orthogonal frequency-division multiplexing (OFDM) systems by proposing a dual-structure and multi-dimensional transformations (DS-MDT)…

信号处理 · 电气工程与系统科学 2026-02-16 Linlin Mo , Yi Song , Fabio Saggese , Xinhua Lu , Zhongyong Wang , Petar Popovski

We consider the distributed computing problem of multiplying a set of vectors with a matrix. For this scenario, Li et al. recently presented a unified coding framework and showed a fundamental tradeoff between computational delay and…

信息论 · 计算机科学 2017-09-19 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

Most methods for Bundle Adjustment (BA) in computer vision are either centralized or operate incrementally. This leads to poor scaling and affects the quality of solution as the number of images grows in large scale structure from motion…

计算机视觉与模式识别 · 计算机科学 2017-08-29 Karthikeyan Natesan Ramamurthy , Chung-Ching Lin , Aleksandr Aravkin , Sharath Pankanti , Raphael Viguier

Moment-based distributionally robust optimization (DRO) provides an optimization framework to integrate statistical information with traditional optimization approaches. Under this framework, one assumes that the underlying joint…

最优化与控制 · 数学 2023-11-01 Shiyi Jiang , Jianqiang Cheng , Kai Pan , Zuo-Jun Max Shen

Recent studies have demonstrated improved skill in numerical weather prediction via the use of spatially correlated observation error covariance information in data assimilation systems. In this case, the observation weighting matrices…

数值分析 · 数学 2022-01-05 Guannan Hu , Sarah L. Dance

Meshless methods approximate operators in a specific node as a weighted sum of values in its neighbours. Higher order approximations of derivatives provide more accurate solutions with better convergence characteristics, but they come at…

分布式、并行与集群计算 · 计算机科学 2025-09-12 Jon Vehovar , Miha Rot , Gregor Kosec

In large scale distributed computing systems, communication overhead is one of the major bottlenecks. In the map-shuffle-reduce framework, which is one of the major distributed computing frameworks, the communication load among servers can…

信息论 · 计算机科学 2020-05-14 Shunsuke Horii

Polynomial based approaches, such as the Mat-Dot and entangled polynomial codes (EPC) have been used extensively within coded matrix computations to obtain schemes with good recovery thresholds. However, these schemes are well-recognized to…

信息论 · 计算机科学 2023-05-11 Kyungrak Son , Aditya Ramamoorthy

The downlink channel covariance matrix (CCM) acquisition is the key step for the practical performance of massive multiple-input and multiple-output (MIMO) systems, including beamforming, channel tracking, and user scheduling. However, this…

信号处理 · 电气工程与系统科学 2024-01-22 Kai Li , Ying Li , Lei Cheng , Qingjiang Shi , Zhi-Quan Luo

Parameter Recombination (PR) methods aim to efficiently compose the weights of a neural network for applications like Parameter-Efficient FineTuning (PEFT) and Model Compression (MC), among others. Most methods typically focus on one…

计算机视觉与模式识别 · 计算机科学 2026-04-14 Nazia Tasnim , Shrimai Prabhumoye , Bryan A. Plummer

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

信息论 · 计算机科学 2021-10-06 Mahdi Soleymani , Mohammad Vahid Jamali , Hessam Mahdavifar

We propose extensions and improvements of the statistical analysis of distributed multipoles (SADM) algorithm put forth by Chipot et al. in [6] for the derivation of distributed atomic multipoles from the quantum-mechanical electrostatic…

数值分析 · 数学 2010-07-28 Nicolas Champagnat , Christophe Chipot , Erwan Faou

Maximum-distance-separable (MDS) codes are a class of erasure codes that are widely adopted to enhance the reliability of distributed storage systems (DSS). In (n, k) MDS coded DSS, the original data are stored into n distributed nodes in…

信息论 · 计算机科学 2017-06-16 Sheng Guan , Haibin Kan , Xin Wang

Computationally efficient matrix multiplication is a fundamental requirement in various fields, including and particularly in data analytics. To do so, the computation task of a large-scale matrix multiplication is typically outsourced to…

信息论 · 计算机科学 2018-11-01 Jaber Kakar , Seyedhamed Ebadifar , Aydin Sezgin

A distribution matcher (DM) encodes a binary input data sequence into a sequence of symbols with a desired target probability distribution. Several DMs, including shell mapping and constant-composition distribution matcher (CCDM), have been…

信息论 · 计算机科学 2019-07-30 Marcin Pikus , Wen Xu , Gerhard Kramer