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We develop several new communication-efficient second-order methods for distributed optimization. Our first method, NEWTON-STAR, is a variant of Newton's method from which it inherits its fast local quadratic rate. However, unlike Newton's…

Machine Learning · Computer Science 2021-02-16 Rustem Islamov , Xun Qian , Peter Richtárik

In this paper, we propose a distributed Newton method for consensus optimization. Our approach outperforms state-of-the-art methods, including ADMM. The key idea is to exploit the sparsity of the dual Hessian and recast the computation of…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-22 Rasul Tutunov , Haitham Bou Ammar , Ali Jadbabaie

Compression techniques are essential in distributed optimization and learning algorithms with high-dimensional model parameters, particularly in scenarios with tight communication constraints such as limited bandwidth. This article presents…

Optimization and Control · Mathematics 2025-10-27 Souvik Das , Subhrakanti Dey

In this work, we address the problem of Hessian inversion bias in distributed second-order optimization algorithms. We introduce a novel shrinkage-based estimator for the resolvent of gram matrices which is asymptotically unbiased, and…

Optimization and Control · Mathematics 2024-02-06 Fangzhao Zhang , Mert Pilanci

This paper proposes a novel distributed reduced--rank scheme and an adaptive algorithm for distributed estimation in wireless sensor networks. The proposed distributed scheme is based on a transformation that performs dimensionality…

Information Theory · Computer Science 2014-11-06 S. Xu , R. C. de Lamare , H. V. Poor

Most existing work uses dual decomposition and subgradient methods to solve Network Utility Maximization (NUM) problems in a distributed manner, which suffer from slow rate of convergence properties. This work develops an alternative…

Optimization and Control · Mathematics 2015-03-17 Ermin Wei , Asuman Ozdaglar , Ali Jadbabaie

We propose a new distributed algorithm for computing a truncated Newton method, where the main diagonal of the Hessian is computed using belief propagation. As a case study for this approach, we examine the sensor selection problem, a…

Information Theory · Computer Science 2010-01-14 Danny Bickson , Danny Dolev

This paper develops a distributed algorithm for rate allocation in wireless networks that achieves the same throughput region as optimal centralized algorithms. This cross-layer algorithm jointly performs medium access control (MAC) and…

Information Theory · Computer Science 2015-03-13 Jubin Jose , Sriram Vishwanath

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

Deep learning involves a difficult non-convex optimization problem with a large number of weights between any two adjacent layers of a deep structure. To handle large data sets or complicated networks, distributed training is needed, but…

We propose a communication and computation efficient second-order method for distributed optimization. For each iteration, our method only requires $\mathcal{O}(d)$ communication complexity, where $d$ is the problem dimension. We also…

Optimization and Control · Mathematics 2023-05-30 Chengchang Liu , Lesi Chen , Luo Luo , John C. S. Lui

This paper is mainly devoted to the distributed second-order multi-agent optimization problem with unbalanced and directed networks. To deal with this problem, a new distributed algorithm is proposed based on the local neighbor information…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Lipo Mo , Haokun Hu , Yongguang Yu , Guojian Ren

The goal of decentralized optimization over a network is to optimize a global objective formed by a sum of local (possibly nonsmooth) convex functions using only local computation and communication. It arises in various application domains,…

Optimization and Control · Mathematics 2015-03-17 John Duchi , Alekh Agarwal , Martin Wainwright

Control of wireless multihop networks, while simultaneously meeting end-to-end mean delay requirements of different flows is a challenging problem. Additionally, distributed computation of control parameters adds to the complexity. Using…

Networking and Internet Architecture · Computer Science 2017-11-06 Ashok Krishnan K. S. , Vinod Sharma

In wireless ad hoc networks, distributed nodes can collaboratively form an antenna array for long-distance communications to achieve high energy efficiency. In recent work, Ochiai, et al., have shown that such collaborative beamforming can…

Information Theory · Computer Science 2007-07-13 Athina P. Petropulu , Lun Dong , H. Vincent Poor

A cross-layer design along with an optimal resource allocation framework is formulated for wireless fading networks, where the nodes are allowed to perform network coding. The aim is to jointly optimize end-to-end transport layer rates,…

Networking and Internet Architecture · Computer Science 2011-05-06 Ketan Rajawat , Nikolaos Gatsis , Georgios B. Giannakis

Motivated by broad applications in various fields of engineering, we study a network resource allocation problem where the goal is to optimally allocate a fixed quantity of resources over a network of nodes. We consider large scale networks…

Optimization and Control · Mathematics 2018-08-06 Thinh T. Doan , Carolyn L. Beck

In distributed optimization and distributed numerical linear algebra, we often encounter an inversion bias: if we want to compute a quantity that depends on the inverse of a sum of distributed matrices, then the sum of the inverses does not…

Machine Learning · Computer Science 2019-05-29 Michał Dereziński , Michael W. Mahoney

Small cell enchantment is emerging as the key technique for wireless network evolution. One challenging problem for small cell enhancement is how to achieve high data rate with as-low-as-possible control and computation overheads. As a…

Networking and Internet Architecture · Computer Science 2014-02-12 Shuqin Li , Liyu Cai

This paper presents a novel distributed low-rank scheme and adaptive algorithms for distributed estimation over wireless networks. The proposed distributed scheme is based on a transformation that performs dimensionality reduction at each…

Information Theory · Computer Science 2017-10-03 Rodrigo C. de Lamare