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In this paper, we propose systematic and efficient gradient-based methods for both one-way and two-way partial AUC (pAUC) maximization that are applicable to deep learning. We propose new formulations of pAUC surrogate objectives by using…

机器学习 · 计算机科学 2023-09-19 Dixian Zhu , Gang Li , Bokun Wang , Xiaodong Wu , Tianbao Yang

We study distributed stochastic convex optimization under the delayed gradient model where the server nodes perform parameter updates, while the worker nodes compute stochastic gradients. We discuss, analyze, and experiment with a setup…

机器学习 · 统计学 2015-08-21 Suvrit Sra , Adams Wei Yu , Mu Li , Alexander J. Smola

Semi-supervised learning is pervasive in real-world applications, where only a few labeled data are available and large amounts of instances remain unlabeled. Since AUC is an important model evaluation metric in classification, directly…

机器学习 · 计算机科学 2019-07-30 Wanli Shi , Bin Gu , Xiang Li , Xiang Geng , Heng Huang

This paper studies distributed resource allocation problem in multi-agent systems, where all the agents cooperatively minimize the sum of their cost functions with global resource constraints over stochastic communication networks. This…

最优化与控制 · 数学 2021-04-27 Tie Ding , Shanying Zhu , Cailian Chen , Xinping Guan

We study nonconvex distributed optimization in multiagent networks where the communications between nodes is modeled as a time-varying sequence of arbitrary digraphs. We introduce a novel broadcast-based distributed algorithmic framework…

分布式、并行与集群计算 · 计算机科学 2016-12-16 Ying Sun , Gesualdo Scutari , Daniel Palomar

Distributed parameter estimation for large-scale systems is an active research problem. The goal is to derive a distributed algorithm in which each agent obtains a local estimate of its own subset of the global parameter vector, based on…

多智能体系统 · 计算机科学 2018-06-26 Tianju Sui , Damián Marelli , Minyue Fu , Renquan Lu

We consider a distributed stochastic optimization problem in networks with finite number of nodes. Each node adjusts its action to optimize the global utility of the network, which is defined as the sum of local utilities of all nodes.…

信息论 · 计算机科学 2018-07-31 Wenjie Li , Mohamad Assaad

In distributed optimization, a large number of machines alternate between local computations and communication with a coordinating server. Communication, which can be slow and costly, is the main bottleneck in this setting. To reduce this…

机器学习 · 计算机科学 2026-04-03 Laurent Condat , Ivan Agarský , Peter Richtárik

Recent developments on large-scale distributed machine learning applications, e.g., deep neural networks, benefit enormously from the advances in distributed non-convex optimization techniques, e.g., distributed Stochastic Gradient Descent…

最优化与控制 · 数学 2019-05-13 Hao Yu , Rong Jin , Sen Yang

Stochastic Gradient Descent has been widely studied with classification accuracy as a performance measure. However, these stochastic algorithms cannot be directly used when non-decomposable pairwise performance measures are used such as…

机器学习 · 统计学 2020-12-07 Soham Dan , Dushyant Sahoo

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 focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

最优化与控制 · 数学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

In this paper we consider the problem of maximizing the Area under the ROC curve (AUC) which is a widely used performance metric in imbalanced classification and anomaly detection. Due to the pairwise nonlinearity of the objective function,…

机器学习 · 计算机科学 2019-06-17 Yunwen Lei , Yiming Ying

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. Recent advances using the distributed gradient…

最优化与控制 · 数学 2019-05-14 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

We consider the problem of decentralized optimization where a collection of agents, each having access to a local cost function, communicate over a time-varying directed network and aim to minimize the sum of those functions. In practice,…

系统与控制 · 电气工程与系统科学 2021-09-01 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

This paper considers the decentralized convex optimization problem, which has a wide range of applications in large-scale machine learning, sensor networks, and control theory. We propose novel algorithms that achieve optimal computation…

机器学习 · 计算机科学 2023-10-11 Haishan Ye , Luo Luo , Ziang Zhou , Tong Zhang

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

The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

最优化与控制 · 数学 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

This paper presents a decentralized algorithm for solving distributed convex optimization problems in dynamic networks with time-varying objectives. The unique feature of the algorithm lies in its ability to accommodate a wide range of…

最优化与控制 · 数学 2023-07-12 Navneet Agrawal , Renato L. G. Cavalcante , Masahiro Yukawa , Slawomir Stanczak

In this paper, we design a novel distributed learning algorithm using stochastic compressed communications. In detail, we pursue a modular approach, merging ADMM and a gradient-based approach, benefiting from the robustness of the former…

最优化与控制 · 数学 2025-07-01 Guido Carnevale , Nicola Bastianello