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We study a fixed step-size noisy distributed gradient descent algorithm for solving optimization problems in which the objective is a finite sum of smooth but possibly non-convex functions. Random perturbations are introduced to the…

最优化与控制 · 数学 2023-07-21 Lei Qin , Michael Cantoni , Ye Pu

We consider distributed convex optimization problems originated from sample average approximation of stochastic optimization, or empirical risk minimization in machine learning. We assume that each machine in the distributed computing…

最优化与控制 · 数学 2015-01-05 Yuchen Zhang , Lin Xiao

We propose DisGrem, a fully decentralized second-order method for convex consensus optimization over networks. Each agent solves a local Newton system with vanishing gradient-norm regularization and an eigenvalue-shift stabilizer,…

最优化与控制 · 数学 2026-05-20 Wei Hu , Pengcheng Xie , Ya-Xiang Yuan , Li Zhang

This paper considers an optimization problem that components of the objective function are available at different nodes of a network and nodes are allowed to only exchange information with their neighbors. The decentralized alternating…

最优化与控制 · 数学 2015-11-27 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

In this paper, dynamic deployment of Convolutional Neural Network (CNN) architecture is proposed utilizing only IoT-level devices. By partitioning and pipelining the CNN, it horizontally distributes the computation load among…

计算机视觉与模式识别 · 计算机科学 2021-07-14 Hawzhin Mohammed , Tolulope A. Odetola , Nan Guo , Syed Rafay Hasan

The goal of this paper is to study approaches to bridge the gap between first-order and second-order type methods for composite convex programs. Our key observations are: i) Many well-known operator splitting methods, such as…

最优化与控制 · 数学 2016-09-27 Xiantao Xiao , Yongfeng Li , Zaiwen Wen , Liwei Zhang

In this paper, we propose a distributed algorithm, called Directed-Distributed Gradient Descent (D-DGD), to solve multi-agent optimization problems over directed graphs. Existing algorithms mostly deal with similar problems under the…

最优化与控制 · 数学 2016-02-02 Chenguang Xi , Qiong Wu , Usman A. Khan

We study quantum entanglement distribution on networks with full-rank bi-partite mixed states linking qubits on nodes. In particular, we use entanglement swapping and purification to partially entangle widely separated nodes. The simplest…

量子物理 · 物理学 2012-01-24 G. J. Lapeyre , S. Perseguers , M. Lewenstein , A. Acín

Distributed network optimization has been studied for well over a decade. However, we still do not have a good idea of how to design schemes that can simultaneously provide good performance across the dimensions of utility optimality,…

网络与互联网体系结构 · 计算机科学 2017-07-19 Sinong Wang , Ness Shroff

First-order energy dissipative schemes in time are available in literature for the Poisson-Nernst-Planck (PNP) equations, but second-order ones are still in lack. This work proposes novel second-order discretization in time and finite…

数值分析 · 数学 2023-09-08 Jie Ding , Shenggao Zhou

Distributed nonconvex optimization underpins key functionalities of numerous distributed systems, ranging from power systems, smart buildings, cooperative robots, vehicle networks to sensor networks. Recently, it has also merged as a…

最优化与控制 · 数学 2024-03-18 Yanan Bo , Yongqiang Wang

Increasingly complex and diverse deep neural network (DNN) models necessitate distributing the execution across multiple devices for training and inference tasks, and also require carefully planned schedules for performance. However,…

分布式、并行与集群计算 · 计算机科学 2023-11-28 Zhiqi Lin , Youshan Miao , Guanbin Xu , Cheng Li , Olli Saarikivi , Saeed Maleki , Fan Yang

In this paper we consider a distributed optimization scenario in which a set of processors aims at cooperatively solving a class of min-max optimization problems. This set-up is motivated by peak-demand minimization problems in smart grids.…

最优化与控制 · 数学 2016-11-29 Ivano Notarnicola , Mauro Franceschelli , Giuseppe Notarstefano

Decentralized strategies are of interest for learning from large-scale data over networks. This paper studies learning over a network of geographically distributed nodes/agents subject to quantization. Each node possesses a private local…

系统与控制 · 电气工程与系统科学 2025-01-13 Mohammadreza Doostmohammadian , Muhammad I. Qureshi , Mohammad Hossein Khalesi , Hamid R. Rabiee , Usman A. Khan

Learning-based methods for dexterous manipulation have made notable progress in recent years. However, learned policies often still lack reliability and exhibit limited robustness to important factors of variation. One failure pattern that…

The k Nearest Neighbor (kNN) query over moving objects on road networks is essential for location-based services. Recently, this problem has been studied under road networks with distance as the metric, overlooking fluctuating travel costs.…

数据库 · 计算机科学 2025-12-30 Mingjin Tao , Kailin Jiao , Yawen Li , Wei Liu , Ziqiang Yu

Differentially private (stochastic) gradient descent is the workhorse of DP private machine learning in both the convex and non-convex settings. Without privacy constraints, second-order methods, like Newton's method, converge faster than…

机器学习 · 计算机科学 2023-05-23 Arun Ganesh , Mahdi Haghifam , Thomas Steinke , Abhradeep Thakurta

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

最优化与控制 · 数学 2019-08-02 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

One of the most common methods to train machine learning algorithms today is the stochastic gradient descent (SGD). In a distributed setting, SGD-based algorithms have been shown to converge theoretically under specific circumstances. A…

机器学习 · 计算机科学 2025-08-22 Soumya Sarkar , Shweta Jain

This paper considers decentralized consensus optimization problems where nodes of a network have access to different summands of a global objective function. Nodes cooperate to minimize the global objective by exchanging information with…

最优化与控制 · 数学 2016-09-21 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro
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