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We propose a distributed approach to train deep neural networks (DNNs), which has guaranteed convergence theoretically and great scalability empirically: close to 6 times faster on instance of ImageNet data set when run with 6 machines. The…

Machine Learning · Statistics 2016-10-04 Abhimanu Kumar , Pengtao Xie , Junming Yin , Eric P. Xing

Behavior of neural networks is irremediably determined by the specific loss and data used during training. However it is often desirable to tune the model at inference time based on external factors such as preferences of the user or…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Matteo Maggioni , Thomas Tanay , Francesca Babiloni , Steven McDonagh , Aleš Leonardis

This paper introduces a diagonal adaptive kernel model that dynamically learns kernel eigenvalues and output coefficients simultaneously during training. Unlike fixed-kernel methods tied to the neural tangent kernel theory, the diagonal…

Machine Learning · Computer Science 2025-01-16 Yicheng Li , Qian Lin

This work introduces a kernel-independent, multilevel, adaptive algorithm for efficiently evaluating a discrete convolution kernel with a given source distribution. The method is based on linear algebraic tools such as low rank…

Numerical Analysis · Mathematics 2025-07-11 Anna Yesypenko , Chao Chen , Per-Gunnar Martinsson

In the past few years, the problem of distributed consensus has received a lot of attention, particularly in the framework of ad hoc sensor networks. Most methods proposed in the literature address the consensus averaging problem by…

Information Theory · Computer Science 2009-11-13 Effrosyni Kokiopoulou , Pascal Frossard

This paper describes an adaptive method in continuous time for the estimation of external fields by a team of $N$ agents. The agents $i$ each explore subdomains $\Omega^i$ of a bounded subset of interest $\Omega\subset X := \mathbb{R}^d$.…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Jia Guo , Michael E. Kepler , Sai Tej Paruchuri , Haoran Wang , Andrew J. Kurdila , Daniel J. Stilwell

The paper studies distributed Dictionary Learning (DL) problems where the learning task is distributed over a multi-agent network with time-varying (nonsymmetric) connectivity. This formulation is relevant, for instance, in big-data…

Optimization and Control · Mathematics 2016-12-23 Amir Daneshmand , Gesualdo Scutari , Francisco Facchinei

Distribution regression refers to the supervised learning problem where labels are only available for groups of inputs instead of individual inputs. In this paper, we develop a rigorous mathematical framework for distribution regression…

Machine Learning · Computer Science 2021-09-30 Maud Lemercier , Cristopher Salvi , Theodoros Damoulas , Edwin V. Bonilla , Terry Lyons

The aim of this paper is to propose distributed strategies for adaptive learning of signals defined over graphs. Assuming the graph signal to be bandlimited, the method enables distributed reconstruction, with guaranteed performance in…

Machine Learning · Computer Science 2017-08-02 P. Di Lorenzo , P. Banelli , S. Barbarossa , S. Sardellitti

Distributed machine learning systems have been receiving increasing attentions for their efficiency to process large scale data. Many distributed frameworks have been proposed for different machine learning tasks. In this paper, we study…

Machine Learning · Computer Science 2020-07-01 Hongwei Sun , Qiang Wu

Most algorithms for decentralized learning employ a consensus or diffusion mechanism to drive agents to a common solution of a global optimization problem. Generally this takes the form of linear averaging, at a rate of contraction…

Optimization and Control · Mathematics 2024-06-07 Aaron Fainman , Stefan Vlaski

A novel approach is suggested for improving the accuracy of fault detection in distribution networks. This technique combines adaptive probability learning and waveform decomposition to optimize the similarity of features. Its objective is…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Xinliang Ma , Weihua Liu , Bingying Jin

Kernel methods approximate nonlinear maps in a data-driven manner by projecting the target map onto a finite-dimensional Hilbert space called the solution space. Traditionally, this space is a subspace of a fixed ambient reproducing kernel…

Numerical Analysis · Mathematics 2026-01-30 Tamás Dózsa , Andrea Angino , Zoltán Szabó , József Bokor , Matthias Voigt

Multilayer networks provide a more comprehensive framework for exploring real-world and engineering systems than traditional single-layer networks, consisting of multiple interacting networks. However, despite significant research in…

Optimization and Control · Mathematics 2024-11-12 C. D. Rodríguez-Camargo , A. F. Urquijo-Rodríguez , E. A. Mojica-Nava

We propose a data-driven framework to learn interaction kernels in stochastic multi-agent systems. Our approach aims at identifying the functional form of nonlocal interaction and diffusion terms directly from trajectory data, without any a…

Machine Learning · Computer Science 2026-03-18 Giacomo Albi , Alessandro Alla , Elisa Calzola

Existing multi-view learning methods based on kernel function either require the user to select and tune a single predefined kernel or have to compute and store many Gram matrices to perform multiple kernel learning. Apart from the huge…

Machine Learning · Computer Science 2019-10-14 Changying Du , Jia He , Changde Du , Fuzhen Zhuang , Qing He , Guoping Long

In multicenter biomedical research, integrating data from multiple decentralized sites provides more robust and generalizable findings due to its larger sample size and the ability to account for the between-site heterogeneity. However,…

Methodology · Statistics 2025-12-29 Xiaokang Liu , Yuchen Yang , Yifei Sun , Jiang Bian , Yanyuan Ma , Raymond J. Carroll , Yong Chen

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

In recent years, storing large volumes of data on distributed devices has become commonplace. Applications involving sensors, for example, capture data in different modalities including image, video, audio, GPS and others. Novel algorithms…

Machine Learning · Computer Science 2021-02-10 Haimonti Dutta , Nitin Nataraj , Saurabh Amarnath Mahindre

In this paper, we present a study of a kernel-based consensual aggregation on randomly projected high-dimensional features of predictions for regression. The aggregation scheme is composed of two steps: the high-dimensional features of…

Machine Learning · Statistics 2022-04-07 Sothea Has
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