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The least squares problem with L1-regularized regressors, called Lasso, is a widely used approach in optimization problems where sparsity of the regressors is desired. This formulation is fundamental for many applications in signal…

Optimization and Control · Mathematics 2021-04-26 Andreea B. Alexandru , Anastasios Tsiamis , George J. Pappas

We consider a distributed learning setup where a sparse signal is estimated over a network. Our main interest is to save communication resource for information exchange over the network and reduce processing time. Each node of the network…

Machine Learning · Statistics 2018-04-03 Ahmed Zaki , Saikat Chatterjee , Partha P. Mitra , Lars K. Rasmussen

Finding an informative subset of a large collection of data points or models is at the center of many problems in computer vision, recommender systems, bio/health informatics as well as image and natural language processing. Given pairwise…

Machine Learning · Computer Science 2016-04-12 Ehsan Elhamifar , Guillermo Sapiro , S. Shankar Sastry

As the complexity of our neural network models grow, so too do the data and computation requirements for successful training. One proposed solution to this problem is training on a distributed network of computational devices, thus…

Machine Learning · Computer Science 2020-05-22 Kyle Crandall , Dustin Webb

Functional brain networks are well described and estimated from data with Gaussian Graphical Models (GGMs), e.g. using sparse inverse covariance estimators. Comparing functional connectivity of subjects in two populations calls for…

Machine Learning · Statistics 2016-11-21 Eugene Belilovsky , Gaël Varoquaux , Matthew B. Blaschko

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

In Federated Learning, model training is performed across multiple computing devices, where only parameters are shared with a common central server without exchanging their data instances. This strategy assumes abundance of resources on…

Machine Learning · Computer Science 2023-09-06 Indrajeet Kumar Sinha , Shekhar Verma , Krishna Pratap Singh

Federated learning is a collaborative model training method that iterates model updates by multiple clients and aggregation of the updates by a central server. Device and statistical heterogeneity of participating clients cause significant…

Machine Learning · Computer Science 2023-08-29 Ayano Nakai-Kasai , Tadashi Wadayama

Sparse deep learning aims to address the challenge of huge storage consumption by deep neural networks, and to recover the sparse structure of target functions. Although tremendous empirical successes have been achieved, most sparse deep…

Machine Learning · Statistics 2020-11-17 Jincheng Bai , Qifan Song , Guang Cheng

Sparsity-constrained optimization is an important and challenging problem that has wide applicability in data mining, machine learning, and statistics. In this paper, we focus on sparsity-constrained optimization in cases where the cost…

Machine Learning · Computer Science 2016-12-19 Feng Chen , Baojian Zhou

We consider the problem of sparse variable selection on high dimension heterogeneous data sets, which has been taking on renewed interest recently due to the growth of biological and medical data sets with complex, non-i.i.d. structures and…

Methodology · Statistics 2024-04-22 Hui Liu , Xiang Liu , Jing Diao , Wenting Ye , Xueling Liu , Dehui Wei

Semi-supervised learning on real-world graphs is frequently challenged by heterophily, where the observed graph is unreliable or label-disassortative. Many existing graph neural networks either rely on a fixed adjacency structure or attempt…

Machine Learning · Computer Science 2026-01-06 Yoonhyuk Choi , Jiho Choi , Chanran Kim , Yumin Lee , Hawon Shin , Yeowon Jeon , Minjeong Kim , Jiwoo Kang

Mathematical modelling, particularly through approaches such as structured sparse support vector machines (SS-SVM), plays a crucial role in processing data with complex feature structures, yet efficient algorithms for distributed…

Machine Learning · Computer Science 2026-01-13 Rongmei Liang , Zizheng Liu , Xiaofei Wu , Jingwen Tu

Distributed machine learning has been widely studied in the literature to scale up machine learning model training in the presence of an ever-increasing amount of data. We study distributed machine learning from another perspective, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-16 Yaochen Hu , Di Niu , Jianming Yang , Shengping Zhou

In many statistical modeling problems, such as classification and regression, it is common to encounter sparse and blocky coefficients. Sparse fused Lasso is specifically designed to recover these sparse and blocky structured features,…

Statistics Theory · Mathematics 2024-05-30 Xiaofei Wu , Rongmei Liang , Zhimin Zhang , Zhenyu Cui

The sparse modeling is an evident manifestation capturing the parsimony principle just described, and sparse models are widespread in statistics, physics, information sciences, neuroscience, computational mathematics, and so on. In…

Machine Learning · Computer Science 2023-08-29 Jianyi Lin

We study sparse linear regression over a network of agents, modeled as an undirected graph and no server node. The estimation of the $s$-sparse parameter is formulated as a constrained LASSO problem wherein each agent owns a subset of the…

Machine Learning · Computer Science 2024-12-30 Marie Maros , Gesualdo Scutari , Ying Sun , Guang Cheng

We address the problem of merging graph and feature-space information while learning a metric from structured data. Existing algorithms tackle the problem in an asymmetric way, by either extracting vectorized summaries of the graph…

Machine Learning · Computer Science 2020-02-17 Nicolo Colombo

In recent advancements in machine learning, federated learning allows a network of distributed clients to collaboratively develop a global model without needing to share their local data. This technique aims to safeguard privacy, countering…

Machine Learning · Computer Science 2024-07-18 Davide Domini , Gianluca Aguzzi , Nicolas Farabegoli , Mirko Viroli , Lukas Esterle

In the supervised learning domain, considering the recent prevalence of algorithms with high computational cost, the attention is steering towards simpler, lighter, and less computationally extensive training and inference approaches. In…

Machine Learning · Computer Science 2022-09-02 Antonello Rosato , Massimo Panella , Denis Kleyko