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We study stochastic algorithms for solving nonconvex optimization problems with a convex yet possibly nonsmooth regularizer, which find wide applications in many practical machine learning applications. However, compared to asynchronous…

机器学习 · 计算机科学 2018-09-18 Rui Zhu , Di Niu , Zongpeng Li

We consider the problem of minimizing the sum of three convex functions: i) a smooth function $f$ in the form of an expectation or a finite average, ii) a non-smooth function $g$ in the form of a finite average of proximable functions…

最优化与控制 · 数学 2022-03-25 Konstantin Mishchenko , Peter Richtárik

Federated learning is a promising framework to mitigate data privacy and computation concerns. However, the communication cost between the server and clients has become the major bottleneck for successful deployment. Despite notable…

机器学习 · 计算机科学 2022-05-03 Yang He , Hui-Po Wang , Maximilian Zenk , Mario Fritz

In this paper, we study the performance of a large family of SGD variants in the smooth nonconvex regime. To this end, we propose a generic and flexible assumption capable of accurate modeling of the second moment of the stochastic…

最优化与控制 · 数学 2020-06-15 Zhize Li , Peter Richtárik

Collaborative training methods like Federated Learning (FL) and Split Learning (SL) enable distributed machine learning without sharing raw data. However, FL assumes clients can train entire models, which is infeasible for large-scale…

机器学习 · 计算机科学 2025-06-18 Srijith Nair , Michael Lin , Peizhong Ju , Amirreza Talebi , Elizabeth Serena Bentley , Jia Liu

This paper proposes a novel federated algorithm that leverages momentum-based variance reduction with adaptive learning to address non-convex settings across heterogeneous data. We intend to minimize communication and computation overhead,…

机器学习 · 计算机科学 2024-12-17 Dipanwita Thakur , Antonella Guzzo , Giancarlo Fortino , Sajal K. Das

In this paper we analyze a zeroth-order proximal stochastic gradient method suitable for the minimization of weakly convex stochastic optimization problems. We consider nonsmooth and nonlinear stochastic composite problems, for which…

最优化与控制 · 数学 2025-04-21 Spyridon Pougkakiotis , Dionysios S. Kalogerias

In this paper, we introduce a stochastic projected subgradient method for weakly convex (i.e., uniformly prox-regular) nonsmooth, nonconvex functions---a wide class of functions which includes the additive and convex composite classes. At a…

最优化与控制 · 数学 2018-09-19 Damek Davis , Benjamin Grimmer

Conditional stochastic optimization has found applications in a wide range of machine learning tasks, such as invariant learning, AUPRC maximization, and meta-learning. As the demand for training models with large-scale distributed data…

机器学习 · 计算机科学 2023-10-05 Xidong Wu , Jianhui Sun , Zhengmian Hu , Junyi Li , Aidong Zhang , Heng Huang

We propose a novel algorithm for solving non-convex, nonlinear equality-constrained finite-sum optimization problems. The proposed algorithm incorporates an additional sampling strategy for sample size update into the well-known framework…

最优化与控制 · 数学 2025-08-05 Nataša Krejić , Nataša Krklec Jerinkić , Tijana Ostojić , Nemanja Vučićević

In this paper, we consider the minimization of a nonsmooth nonconvex objective function $f(x)$ over a closed convex subset $\mathcal{X}$ of $\mathbb{R}^n$, with additional nonsmooth nonconvex constraints $c(x) = 0$. We develop a unified…

最优化与控制 · 数学 2024-04-16 Nachuan Xiao , Kuangyu Ding , Xiaoyin Hu , Kim-Chuan Toh

Federated learning (FL) can achieve privacy-safe and reliable collaborative training without collecting users' private data. Its excellent privacy security potential promotes a wide range of FL applications in Internet-of-Things (IoT),…

机器学习 · 计算机科学 2023-09-26 Xiaofeng Liu , Qing Wang , Yunfeng Shao , Yinchuan Li

Current data compression methods, such as sparsification in Federated Averaging (FedAvg), effectively enhance the communication efficiency of Federated Learning (FL). However, these methods encounter challenges such as the straggler problem…

分布式、并行与集群计算 · 计算机科学 2024-08-28 Zichen Tang , Junlin Huang , Rudan Yan , Yuxin Wang , Zhenheng Tang , Shaohuai Shi , Amelie Chi Zhou , Xiaowen Chu

We present a federated learning framework that is designed to robustly deliver good predictive performance across individual clients with heterogeneous data. The proposed approach hinges upon a superquantile-based learning objective that…

机器学习 · 计算机科学 2023-08-04 Krishna Pillutla , Yassine Laguel , Jérôme Malick , Zaid Harchaoui

Stochastic gradient methods (SGMs) are predominant approaches for solving stochastic optimization. On smooth nonconvex problems, a few acceleration techniques have been applied to improve the convergence rate of SGMs. However, little…

最优化与控制 · 数学 2021-12-24 Yangyang Xu , Yibo Xu , Yonggui Yan , Jie Chen

In federated learning, communication cost can be significantly reduced by transmitting the information over the air through physical channels. In this paper, we propose a new class of adaptive federated stochastic gradient descent (SGD)…

机器学习 · 计算机科学 2025-09-03 Rui Zhang , Wenlong Mou

We analyze (stochastic) gradient descent (SGD) with delayed updates on smooth quasi-convex and non-convex functions and derive concise, non-asymptotic, convergence rates. We show that the rate of convergence in all cases consists of two…

机器学习 · 计算机科学 2021-06-17 Sebastian U. Stich , Sai Praneeth Karimireddy

Anomaly and missing data constitute a thorny problem in industrial applications. In recent years, deep learning enabled anomaly detection has emerged as a critical direction, however the improved detection accuracy is achieved with the…

机器学习 · 计算机科学 2024-11-07 Alexandros Gkillas , Aris Lalos

Time-varying optimization problems are prevalent in various engineering fields, and the ability to solve them accurately in real-time is becoming increasingly important. The prediction-correction algorithms used in smooth time-varying…

最优化与控制 · 数学 2024-02-12 Hidenori Iwakiri , Tomoya Kamijima , Shinji Ito , Akiko Takeda

Federated Learning (FL) enables collaborative model training across multiple clients without sharing their private data. However, data heterogeneity across clients leads to client drift, which degrades the overall generalization performance…

机器学习 · 计算机科学 2026-03-02 Alina Devkota , Jacob Thrasher , Donald Adjeroh , Binod Bhattarai , Prashnna K. Gyawali