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This thesis explores a particular class of distributed optimization methods for various separable resource allocation problems, which are of high interest in a wide array of multi-agent settings. A distinctly motivating application for this…

系统与控制 · 电气工程与系统科学 2021-03-26 Tor Anderson

Emerging applications in multi-agent environments such as internet-of-things, networked sensing, autonomous systems and federated learning, call for decentralized algorithms for finite-sum optimizations that are resource-efficient in terms…

机器学习 · 统计学 2021-12-03 Boyue Li , Zhize Li , Yuejie Chi

This paper studies a distributed multi-agent convex optimization problem. The system comprises multiple agents in this problem, each with a set of local data points and an associated local cost function. The agents are connected to a…

最优化与控制 · 数学 2021-08-20 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

In this paper, we develop a distributed algorithm for solving a class of distributed convex optimization problems where the local objective functions can be a general nonsmooth function, and all equalities and inequalities are network-wide…

最优化与控制 · 数学 2026-04-14 Yeong-Ung Kim , Hyo-Sung Ahn

In modern data science, it is common that large-scale data are stored and processed parallelly across a great number of locations. For reasons including confidentiality concerns, only limited data information from each parallel center is…

统计方法学 · 统计学 2022-07-14 Ziyan Yin

We consider the communication complexity of a number of distributed optimization problems. We start with the problem of solving a linear system. Suppose there is a coordinator together with $s$ servers $P_1, \ldots, P_s$, the $i$-th of…

数据结构与算法 · 计算机科学 2019-11-01 Santosh S. Vempala , Ruosong Wang , David P. Woodruff

Distributed resource allocation is a central task in network systems such as smart grids, water distribution networks, and urban transportation systems. When solving such problems in practice it is often important to have nonasymptotic…

最优化与控制 · 数学 2021-03-30 Xuyang Wu , Sindri Magnusson , Mikael Johansson

We consider minimization of a sum of convex objective functions where the components of the objective are available at different nodes of a network and nodes are allowed to only communicate with their neighbors. The use of distributed…

最优化与控制 · 数学 2014-12-12 Aryan Mokhtari , Qing Ling , Alejandro Ribeiro

Bilevel optimization, crucial for hyperparameter tuning, meta-learning and reinforcement learning, remains less explored in the decentralized learning paradigm, such as decentralized federated learning (DFL). Typically, decentralized…

机器学习 · 计算机科学 2024-10-21 Min Wen , Chengchang Liu , Ahmed Abdelmoniem , Yipeng Zhou , Yuedong Xu

The Lion optimizer has been a promising competitor with the AdamW for training large AI models, with advantages on memory, computation, and sample efficiency. In this paper, we introduce Distributed Lion, an innovative adaptation of Lion…

分布式、并行与集群计算 · 计算机科学 2024-04-02 Bo Liu , Lemeng Wu , Lizhang Chen , Kaizhao Liang , Jiaxu Zhu , Chen Liang , Raghuraman Krishnamoorthi , Qiang Liu

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

最优化与控制 · 数学 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

We propose a communicationally and computationally efficient algorithm for high-dimensional distributed sparse learning. At each iteration, local machines compute the gradient on local data and the master machine solves one shifted $l_1$…

机器学习 · 统计学 2017-09-12 Jineng Ren , Jarvis Haupt

In this paper, an Artificial Neural Network (ANN) technique is developed to find solution of celebrated Fractional order Differential Equations (FDE). Compared to integer order differential equation, FDE has the advantage that it can better…

偏微分方程分析 · 数学 2018-10-15 Susmita Mall , S. Chakraverty

We consider the problem of learning from distributed data in the agnostic setting, i.e., in the presence of arbitrary forms of noise. Our main contribution is a general distributed boosting-based procedure for learning an arbitrary concept…

机器学习 · 计算机科学 2016-11-21 Shang-Tse Chen , Maria-Florina Balcan , Duen Horng Chau

We consider the problem of distributed mean estimation (DME), in which $n$ machines are each given a local $d$-dimensional vector $x_v \in \mathbb{R}^d$, and must cooperate to estimate the mean of their inputs $\mu = \frac 1n\sum_{v = 1}^n…

机器学习 · 计算机科学 2021-04-08 Peter Davies , Vijaykrishna Gurunathan , Niusha Moshrefi , Saleh Ashkboos , Dan Alistarh

Communication scheduling has been shown to be effective in accelerating distributed training, which enables all-reduce communications to be overlapped with backpropagation computations. This has been commonly adopted in popular distributed…

机器学习 · 计算机科学 2023-06-16 Lin Zhang , Shaohuai Shi , Xiaowen Chu , Wei Wang , Bo Li , Chengjian Liu

Scalable and efficient distributed learning is one of the main driving forces behind the recent rapid advancement of machine learning and artificial intelligence. One prominent feature of this topic is that recent progresses have been made…

机器学习 · 计算机科学 2021-04-13 Ji Liu , Ce Zhang

Stochastic bilevel optimization finds widespread applications in machine learning, including meta-learning, hyperparameter optimization, and neural architecture search. To extend stochastic bilevel optimization to distributed data, several…

机器学习 · 计算机科学 2026-05-26 Yihan Zhang , My T. Thai , Jie Wu , Hongchang Gao

This paper considers the distributed optimization of a sum of locally observable, non-convex functions. The optimization is performed over a multi-agent networked system, and each local function depends only on a subset of the variables. An…

最优化与控制 · 数学 2016-05-04 Sandeep Kumar , Rahul Jain , Ketan Rajawat

This paper focuses on showing time-message trade-offs in distributed algorithms for fundamental problems such as leader election, broadcast, spanning tree (ST), minimum spanning tree (MST), minimum cut, and many graph verification problems.…

数据结构与算法 · 计算机科学 2018-10-09 Robert Gmyr , Gopal Pandurangan