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Iterative hard thresholding (IHT) is a projected gradient descent algorithm, known to achieve state of the art performance for a wide range of structured estimation problems, such as sparse inference. In this work, we consider IHT as a…

Machine Learning · Statistics 2020-02-03 Jacky Y. Zhang , Rajiv Khanna , Anastasios Kyrillidis , Oluwasanmi Koyejo

Iterative Hard Thresholding (IHT) is a class of projected gradient descent methods for optimizing sparsity-constrained minimization models, with the best known efficiency and scalability in practice. As far as we know, the existing…

Machine Learning · Computer Science 2017-06-22 Bo Liu , Xiao-Tong Yuan , Lezi Wang , Qingshan Liu , Dimitris N. Metaxas

Federated Learning allows multiple parties to jointly train a deep learning model on their combined data, without any of the participants having to reveal their local data to a centralized server. This form of privacy-preserving…

Machine Learning · Computer Science 2019-03-08 Felix Sattler , Simon Wiedemann , Klaus-Robert Müller , Wojciech Samek

Federated learning enables resource-constrained edge compute devices, such as mobile phones and IoT devices, to learn a shared model for prediction, while keeping the training data local. This decentralized approach to train models provides…

Machine Learning · Computer Science 2022-07-22 Yue Zhao , Meng Li , Liangzhen Lai , Naveen Suda , Damon Civin , Vikas Chandra

Federated learning has attracted significant attention as a privacy-preserving framework for training personalised models on multi-source heterogeneous data. However, most existing approaches are unable to handle scenarios where subgroup…

Methodology · Statistics 2025-10-14 Changxin Yang , Zhongyi Zhu , Heng Lian

Gradient compression can effectively alleviate communication bottlenecks in Federated Learning (FL). Contemporary state-of-the-art sparse compressors, such as Top-$k$, exhibit high computational complexity, up to $\mathcal{O}(d\log_2{k})$,…

Machine Learning · Computer Science 2025-05-20 Rongwei Lu , Yutong Jiang , Jinrui Zhang , Chunyang Li , Yifei Zhu , Bin Chen , Zhi Wang

The use of M-estimators in generalized linear regression models in high dimensional settings requires risk minimization with hard $L_0$ constraints. Of the known methods, the class of projected gradient descent (also known as iterative hard…

Machine Learning · Computer Science 2014-10-22 Prateek Jain , Ambuj Tewari , Purushottam Kar

The question of fast convergence in the classical problem of high dimensional linear regression has been extensively studied. Arguably, one of the fastest procedures in practice is Iterative Hard Thresholding (IHT). Still, IHT relies…

Statistics Theory · Mathematics 2020-08-28 Mohamed Ndaoud

We present a new recovery analysis for a standard compressed sensing algorithm, Iterative Hard Thresholding (IHT) (Blumensath and Davies, 2008), which considers the fixed points of the algorithm. In the context of arbitrary measurement…

Numerical Analysis · Mathematics 2014-11-10 Coralia Cartis , Andrew Thompson

Sparse optimization receives increasing attention in many applications such as compressed sensing, variable selection in regression problems, and recently neural network compression in machine learning. For example, the problem of…

Optimization and Control · Mathematics 2022-09-29 Saeed Damadi , Jinglai Shen

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),…

Machine Learning · Computer Science 2023-09-26 Xiaofeng Liu , Qing Wang , Yunfeng Shao , Yinchuan Li

As a promising method of central model training on decentralized device data while securing user privacy, Federated Learning (FL)is becoming popular in Internet of Things (IoT) design. However, when the data collected by IoT devices are…

Machine Learning · Computer Science 2022-02-01 Tian Liu , Jiahao Ding , Ting Wang , Miao Pan , Mingsong Chen

Iterative hard thresholding (IHT) has gained in popularity over the past decades in large-scale optimization. However, convergence properties of this method have only been explored recently in non-convex settings. In matrix completion,…

Optimization and Control · Mathematics 2023-01-11 Trung Vu , Evgenia Chunikhina , Raviv Raich

Federated learning (FL) enables distribution of machine learning workloads from the cloud to resource-limited edge devices. Unfortunately, current deep networks remain not only too compute-heavy for inference and training on edge devices,…

Machine Learning · Computer Science 2021-12-21 Sameer Bibikar , Haris Vikalo , Zhangyang Wang , Xiaohan Chen

Federated learning is a paradigm of distributed machine learning in which multiple clients coordinate with a central server to learn a model, without sharing their own training data. Standard federated optimization methods such as Federated…

Machine Learning · Computer Science 2024-05-15 Sohom Mukherjee , Nicolas Loizou , Sebastian U. Stich

Federated learning (FL) is a prevailing distributed learning paradigm, where a large number of workers jointly learn a model without sharing their training data. However, high communication costs could arise in FL due to large-scale (deep)…

Machine Learning · Computer Science 2021-06-15 Haibo Yang , Jia Liu , Elizabeth S. Bentley

We propose a distributed algorithm for sparse signal recovery in sensor networks based on Iterative Hard Thresholding (IHT). Every agent has a set of measurements of a signal x, and the objective is for the agents to recover x from their…

Information Theory · Computer Science 2013-02-22 Stacy Patterson , Yonina C. Eldar , Idit Keidar

Non-IID data present a tough challenge for federated learning. In this paper, we explore a novel idea of facilitating pairwise collaborations between clients with similar data. We propose FedAMP, a new method employing federated attentive…

Machine Learning · Computer Science 2021-12-15 Yutao Huang , Lingyang Chu , Zirui Zhou , Lanjun Wang , Jiangchuan Liu , Jian Pei , Yong Zhang

This paper proposes a federated learning technique for deep algorithm unfolding with applications to sparse signal recovery and compressed sensing. We refer to this architecture as Fed-CS. Specifically, we unfold and learn the iterative…

Signal Processing · Electrical Eng. & Systems 2020-10-27 Komal Krishna Mogilipalepu , Sumanth Kumar Modukuri , Amarlingam Madapu , Sundeep Prabhakar Chepuri

Compressed sensing (CS) or sparse signal reconstruction (SSR) is a signal processing technique that exploits the fact that acquired data can have a sparse representation in some basis. One popular technique to reconstruct or approximate the…

Information Theory · Computer Science 2014-05-08 Esa Ollila , Hyon-Jung Kim , Visa Koivunen
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