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As a prevalent distributed learning paradigm, Federated Learning (FL) trains a global model on a massive amount of devices with infrequent communication. This paper investigates a class of composite optimization and statistical recovery…

Machine Learning · Computer Science 2022-10-04 Yajie Bao , Michael Crawshaw , Shan Luo , Mingrui Liu

We theoretically analyze the Feedback Alignment (FA) algorithm, an efficient alternative to backpropagation for training neural networks. We provide convergence guarantees with rates for deep linear networks for both continuous and discrete…

Machine Learning · Computer Science 2021-10-22 Manuela Girotti , Ioannis Mitliagkas , Gauthier Gidel

The problem of finding a solution to the linear system $Ax = b$ with certain minimization properties arises in numerous scientific and engineering areas. In the era of big data, the stochastic optimization algorithms become increasingly…

Numerical Analysis · Mathematics 2026-01-05 Yun Zeng , Deren Han , Yansheng Su , Jiaxin Xie

Few-shot meta-learning presents a challenge for gradient descent optimization due to the limited number of training samples per task. To address this issue, we propose an episodic memory optimization for meta-learning, we call EMO, which is…

Machine Learning · Computer Science 2023-06-28 Yingjun Du , Jiayi Shen , Xiantong Zhen , Cees G. M. Snoek

We study decentralized online convex optimization when agents communicate over a graph and messages may be compressed. Classical decentralized online methods typically require learning-rate choices that depend on the horizon, comparator…

Machine Learning · Computer Science 2026-05-28 Tomas Ortega , Hamid Jafarkhani

Learning from multiple related tasks by knowledge sharing and transfer has become increasingly relevant over the last two decades. In order to successfully transfer information from one task to another, it is critical to understand the…

Machine Learning · Computer Science 2023-01-18 Boyu Wang , Jorge Mendez , Changjian Shui , Fan Zhou , Di Wu , Gezheng Xu , Christian Gagné , Eric Eaton

In distributed optimization and machine learning, multiple nodes coordinate to solve large problems. To do this, the nodes need to compress important algorithm information to bits so that it can be communicated over a digital channel. The…

Optimization and Control · Mathematics 2020-12-02 Sindri Magnússon , Hossein Shokri-Ghadikolaei , Na Li

The popular federated edge learning (FEEL) framework allows privacy-preserving collaborative model training via frequent learning-updates exchange between edge devices and server. Due to the constrained bandwidth, only a subset of devices…

Networking and Internet Architecture · Computer Science 2021-07-27 Maojun Zhang , Guangxu Zhu , Shuai Wang , Jiamo Jiang , Caijun Zhong , Shuguang Cui

Federated Learning (FL) enables collaborative model training across decentralized clients while preserving data privacy by keeping raw data local. However, FL suffers from significant communication overhead due to the frequent exchange of…

Machine Learning · Computer Science 2025-11-11 Chaimaa Medjadji , Sadi Alawadi , Feras M. Awaysheh , Guilain Leduc , Sylvain Kubler , Yves Le Traon

Efficient suppression of errors without full error correction is crucial for applications with NISQ devices. Error mitigation allows us to suppress errors in extracting expectation values without the need for any error correction code, but…

Quantum Physics · Physics 2023-11-10 Gideon Lee , Connor T. Hann , Shruti Puri , S. M. Girvin , Liang Jiang

Many popular adaptive gradient methods such as Adam and RMSProp rely on an exponential moving average (EMA) to normalize their stepsizes. While the EMA makes these methods highly responsive to new gradient information, recent research has…

Machine Learning · Computer Science 2021-10-13 Brett Daley , Christopher Amato

Large-scale multi-agent systems are often deployed across wide geographic areas, where agents interact with heterogeneous environments. There is an emerging interest in understanding the role of heterogeneity in the performance of the…

Machine Learning · Computer Science 2026-05-18 Leo Muxing Wang , Pengkun Yang , Lili Su

The convergence of expectation-maximization (EM)-based algorithms typically requires continuity of the likelihood function with respect to all the unknown parameters (optimization variables). The requirement is not met when parameters…

Signal Processing · Electrical Eng. & Systems 2024-04-18 Geethu Joseph

Gradient descent-based optimization methods underpin the parameter training of neural networks, and hence comprise a significant component in the impressive test results found in a number of applications. Introducing stochasticity is key to…

Machine Learning · Computer Science 2021-06-01 Nikola B. Kovachki , Andrew M. Stuart

We present Epidemic Learning (EL), a simple yet powerful decentralized learning (DL) algorithm that leverages changing communication topologies to achieve faster model convergence compared to conventional DL approaches. At each round of EL,…

Machine Learning · Computer Science 2023-10-30 Martijn de Vos , Sadegh Farhadkhani , Rachid Guerraoui , Anne-Marie Kermarrec , Rafael Pires , Rishi Sharma

Algorithms for signal recovery in compressed sensing (CS) are often improved by stabilization techniques, such as damping, or the less widely known so-called fractional approach, which is based on the expectation propagation (EP) framework.…

Information Theory · Computer Science 2021-10-01 Carmen Sippel , Robert F. H. Fischer

The choice of the stepsize in first-order convex optimization is typically based on the smoothness constant and plays a crucial role in the performance of algorithms. Recently, there has been a resurgent interest in introducing adaptive…

Optimization and Control · Mathematics 2025-12-04 Reza Rahimi Baghbadorani , Sergio Grammatico , Peyman Mohajerin Esfahani

The emergence of big data has caused a dramatic shift in the operating regime for optimization algorithms. The performance bottleneck, which used to be computations, is now often communications. Several gradient compression techniques have…

Signal Processing · Electrical Eng. & Systems 2020-06-19 Sarit Khirirat , Sindri Magnússon , Mikael Johansson

A recent line of research has shown that gradient-based algorithms with random initialization can converge to the global minima of the training loss for over-parameterized (i.e., sufficiently wide) deep neural networks. However, the…

Machine Learning · Computer Science 2019-06-12 Difan Zou , Quanquan Gu

We consider minimizing an objective function subject to constraints defined by the intersection of lower-level sets of convex functions. We study two cases: (i) strongly convex and Lipschitz-smooth objective function and (ii) convex but…

Optimization and Control · Mathematics 2026-01-29 Abhishek Chakraborty , Angelia Nedić