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We present two classes of differentially private optimization algorithms derived from the well-known accelerated first-order methods. The first algorithm is inspired by Polyak's heavy ball method and employs a smoothing approach to decrease…

机器学习 · 计算机科学 2022-05-17 Nurdan Kuru , Ş. İlker Birbil , Mert Gurbuzbalaban , Sinan Yildirim

City-scale logistics routing has become increasingly challenging as metropolitan road networks grow to tens of millions of edges and traffic conditions evolve rapidly under high-volume mobility demands. Conventional centralized routing…

系统与控制 · 电气工程与系统科学 2025-12-23 Zihan Han , Lingran Meng , Jingwei Zhang

We propose a method that meta-learns a knowledge on matrix factorization from various matrices, and uses the knowledge for factorizing unseen matrices. The proposed method uses a neural network that takes a matrix as input, and generates…

机器学习 · 统计学 2021-06-30 Tomoharu Iwata

This paper considers the distributed optimization problem over a network, where the objective is to optimize a global function formed by a sum of local functions, using only local computation and communication. We develop an Accelerated…

最优化与控制 · 数学 2020-06-02 Guannan Qu , Na Li

In this paper, we propose a first-order distributed optimization algorithm that is provably robust to Byzantine failures-arbitrary and potentially adversarial behavior, where all the participating agents are prone to failure. We model each…

最优化与控制 · 数学 2022-07-27 Berkay Turan , Cesar A. Uribe , Hoi-To Wai , Mahnoosh Alizadeh

Graph neural networks (GNNs) model nonlinear representations in graph data with applications in distributed agent coordination, control, and planning among others. Current GNN architectures assume ideal scenarios and ignore link…

信号处理 · 电气工程与系统科学 2021-09-01 Zhan Gao , Elvin Isufi , Alejandro Ribeiro

We consider distributed optimization by a collection of nodes, each having access to its own convex function, whose collective goal is to minimize the sum of the functions. The communications between nodes are described by a time-varying…

最优化与控制 · 数学 2014-03-18 Angelia Nedic , Alex Olshevsky

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…

机器学习 · 计算机科学 2021-02-16 Rustem Islamov , Xun Qian , Peter Richtárik

This paper proposes a distributed learning-based framework to tackle the sum ergodic rate maximization problem in cell-free massive multiple-input multiple-output (MIMO) systems by utilizing the graph neural network (GNN). Different from…

信息论 · 计算机科学 2024-11-06 Nguyen Xuan Tung , Trinh Van Chien , Hien Quoc Ngo , Won Joo Hwang

The paper studies the distributed stochastic compositional optimization problems over networks, where all the agents' inner-level function is the sum of each agent's private expectation function. Focusing on the aggregative structure of the…

最优化与控制 · 数学 2022-11-10 Shengchao Zhao , Yongchao Liu

This paper considers a nested stochastic distributed optimization problem. In it, approximate solutions to realizations of the inner-problem are leveraged to obtain a Distributed Stochastic Cubic Regularized Newton (DiSCRN) update to the…

最优化与控制 · 数学 2021-08-06 Tor Anderson , Sonia Martinez

We propose a method that enables practitioners to conveniently incorporate custom non-decomposable performance metrics into differentiable learning pipelines, notably those based upon neural network architectures. Our approach is based on…

机器学习 · 计算机科学 2020-03-04 Rizal Fathony , J. Zico Kolter

Distributed training of GNNs enables learning on massive graphs (e.g., social and e-commerce networks) that exceed the storage and computational capacity of a single machine. To reach performance comparable to centralized training,…

机器学习 · 计算机科学 2023-05-18 Jiong Zhu , Aishwarya Reganti , Edward Huang , Charles Dickens , Nikhil Rao , Karthik Subbian , Danai Koutra

We develop a distributed stochastic gradient descent algorithm for solving non-convex optimization problems under the assumption that the local objective functions are twice continuously differentiable with Lipschitz continuous gradients…

最优化与控制 · 数学 2019-08-20 Jemin George , Tao Yang , He Bai , Prudhvi Gurram

Federated learning is a distributed optimization paradigm that allows training machine learning models across decentralized devices while keeping the data localized. The standard method, FedAvg, suffers from client drift which can hamper…

机器学习 · 计算机科学 2024-04-15 Xiaowen Jiang , Anton Rodomanov , Sebastian U. Stich

Nesterov's accelerated gradient method (NAG) is widely used in problems with machine learning background including deep learning, and is corresponding to a continuous-time differential equation. From this connection, the property of the…

最优化与控制 · 数学 2022-04-05 Yasong Feng , Weiguo Gao

Standard federated learning algorithms are vulnerable to adversarial nodes, a.k.a. Byzantine failures. To solve this issue, robust distributed learning algorithms have been developed, which typically replace parameter averaging by robust…

机器学习 · 计算机科学 2026-02-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx

This paper proposes a new framework for distributed optimization, called distributed aggregative optimization, which allows local objective functions to be dependent not only on their own decision variables, but also on the average of…

最优化与控制 · 数学 2020-05-28 Xiuxian Li , Lihua Xie , Yiguang Hong

Many of the new developments in machine learning are connected with gradient-based optimization methods. Recently, these methods have been studied using a variational perspective. This has opened up the possibility of introducing…

最优化与控制 · 数学 2024-04-17 Cédric M. Campos , Alejandro Mahillo , David Martín de Diego

This paper studies optimization problems over multi-agent systems, in which all agents cooperatively minimize a global objective function expressed as a sum of local cost functions. Each agent in the systems uses only local computation and…

最优化与控制 · 数学 2025-05-26 Jinhui Hu , Xin Chen , Lifeng Zheng , Ling Zhang , Huaqing Li