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We present a novel view of nonlinear manifold learning using derivative-free optimization techniques. Specifically, we propose an extension of the classical multi-dimensional scaling (MDS) method, where instead of performing gradient…

Federated Learning (FL) enables multiple resource-constrained edge devices with varying levels of heterogeneity to collaboratively train a global model. However, devices with limited capacity can create bottlenecks and slow down model…

Machine Learning · Computer Science 2025-04-08 Afsaneh Mahanipour , Hana Khamfroush

In this paper we devise an extremely efficient fully dynamic distributed algorithm for maintaining sparse spanners. Our resuls also include the first fully dynamic centralized algorithm for the problem with non-trivial bounds for both…

Data Structures and Algorithms · Computer Science 2009-09-29 Michael Elkin

Deep neural networks (DNNs) are effective in solving many real-world problems. Larger DNN models usually exhibit better quality (e.g., accuracy) but their excessive computation results in long inference time. Model sparsification can reduce…

Computer Vision and Pattern Recognition · Computer Science 2022-03-07 Xiaolong Ma , Minghai Qin , Fei Sun , Zejiang Hou , Kun Yuan , Yi Xu , Yanzhi Wang , Yen-Kuang Chen , Rong Jin , Yuan Xie

Many computer vision and medical imaging problems are faced with learning from large-scale datasets, with millions of observations and features. In this paper we propose a novel efficient learning scheme that tightens a sparsity constraint…

Machine Learning · Statistics 2017-02-07 Adrian Barbu , Yiyuan She , Liangjing Ding , Gary Gramajo

When training large machine learning models with many variables or parameters, a single machine is often inadequate since the model may be too large to fit in memory, while training can take a long time even with stochastic updates. A…

Machine Learning · Statistics 2014-06-19 Seunghak Lee , Jin Kyu Kim , Xun Zheng , Qirong Ho , Garth A. Gibson , Eric P. Xing

In the field of 3D dynamic scene reconstruction, how to balance model convergence rate and rendering quality has long been a critical challenge that urgently needs to be addressed, particularly in high-precision modeling of scenes with…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Nengbo Lu , Minghua Pan , Shaohua Sun , Yizhou Liang

Deep neural networks have become very popular in modeling complex nonlinear processes due to their extraordinary ability to fit arbitrary nonlinear functions from data with minimal expert intervention. However, they are almost always…

Chemical Physics · Physics 2023-01-16 Erlend Torje Berg Lundby , Adil Rasheed , Ivar Johan Halvorsen , Jan Tommy Gravdahl

Compressive sensing (CS) exploits sparsity to recover sparse or compressible signals from dimensionality reducing, non-adaptive sensing mechanisms. Sparsity is also used to enhance interpretability in machine learning and statistics…

Information Theory · Computer Science 2015-07-21 Anastasios Kyrillidis , Luca Baldassarre , Marwa El-Halabi , Quoc Tran-Dinh , Volkan Cevher

Federated learning has become a popular tool in the big data era nowadays. It trains a centralized model based on data from different clients while keeping data decentralized. In this paper, we propose a federated sparse sliced inverse…

Machine Learning · Statistics 2023-01-24 Wenquan Cui , Yue Zhao , Jianjun Xu , Haoyang Cheng

Variable selection in ultra-high dimensional regression problems has become an important issue. In such situations, penalized regression models may face computational problems and some pre screening of the variables may be necessary. A…

Methodology · Statistics 2020-05-01 Abhik Ghosh , Magne Thoresen

Dynamic Distribution Decomposition (DDD) was introduced in Taylor-King et. al. (PLOS Comp Biol, 2020) as a variation on Dynamic Mode Decomposition. In brief, by using basis functions over a continuous state space, DDD allows for the fitting…

Machine Learning · Computer Science 2020-06-12 Jake P. Taylor-King , Cristian Regep , Jyothish Soman , Flawnson Tong , Catalina Cangea , Charlie Roberts

In this work, we study distributed sketching methods for large scale regression problems. We leverage multiple randomized sketches for reducing the problem dimensions as well as preserving privacy and improving straggler resilience in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-23 Burak Bartan , Mert Pilanci

Exploring deep convolutional neural networks of high efficiency and low memory usage is very essential for a wide variety of machine learning tasks. Most of existing approaches used to accelerate deep models by manipulating parameters or…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Chuanjian Liu , Yunhe Wang , Kai Han , Chunjing Xu , Chang Xu

For 3D Synthetic Aperture Radar (SAR) imaging, one typical approach is to achieve the cross-track 1D focusing for each range-azimuth pixel after obtaining a stack of 2D complex-valued images. The cross-track focusing is the main difficulty…

Signal Processing · Electrical Eng. & Systems 2018-08-28 Jingkun Gao , Bin Deng , Yuliang Qin , Hongqiang Wang , Xiang Li

The lasso model has been widely used for model selection in data mining, machine learning, and high-dimensional statistical analysis. However, with the ultrahigh-dimensional, large-scale data sets now collected in many real-world…

Machine Learning · Statistics 2026-05-13 Yaohui Zeng , Tianbao Yang , Patrick Breheny

While sparse attention mitigates the computational bottleneck of long-context LLM training, its distributed training process exhibits extreme heterogeneity in both \textit{1)} sequence length and \textit{2)} sparsity sensitivity, leading to…

Machine Learning · Computer Science 2026-04-27 Hongtao Xu , Jianchao Tan , Yuxuan Hu , Pengju Lu , Hongyu Wang , Pingwei Sun , Yerui Sun , Yuchen Xie , Xunliang Cai , Mingzhen Li , Weile Jia

Recent theoretical studies proved that deep neural network (DNN) estimators obtained by minimizing empirical risk with a certain sparsity constraint can attain optimal convergence rates for regression and classification problems. However,…

Statistics Theory · Mathematics 2021-08-10 Ilsang Ohn , Yongdai Kim

Screening rules were recently introduced as a technique for explicitly identifying active structures such as sparsity, in optimization problem arising in machine learning. This has led to new methods of acceleration based on a substantial…

Machine Learning · Statistics 2020-09-08 Eugene Ndiaye , Olivier Fercoq , Joseph Salmon

An active learning algorithm for the classification of high-dimensional images is proposed in which spatially-regularized nonlinear diffusion geometry is used to characterize cluster cores. The proposed method samples from estimated cluster…

Machine Learning · Computer Science 2019-11-07 James M. Murphy