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We develop a distributed stochastic gradient descent algorithm for solving non-convex optimization problems under the assumption that the local objective functions are twice continuously differentiable with Lipschitz continuous gradients…

Optimization and Control · Mathematics 2019-08-20 Jemin George , Tao Yang , He Bai , Prudhvi Gurram

We propose a new decentralized robust kernel-based learning algorithm within the framework of reproducing kernel Hilbert spaces (RKHSs) by utilizing a networked system that can be represented as a connected graph. The robust loss function…

Machine Learning · Computer Science 2025-08-18 Zhan Yu , Zhongjie Shi , Ding-Xuan Zhou

This paper addresses a kernel-based learning problem for a network of agents locally observing a latent multidimensional, nonlinear phenomenon in a noisy environment. We propose a learning algorithm that requires only mild a priori…

Multiagent Systems · Computer Science 2024-04-16 Krzysztof Kowalczyk , Paweł Wachel , Cristian R. Rojas

The diffusion based distributed learning approaches have been found to be a viable solution for learning over linearly separable datasets over a network. However, approaches till date are suitable for linearly separable datasets and need to…

Systems and Control · Computer Science 2015-09-15 Rangeet Mitra , Vimal Bhatia

The problem of unsupervised learning and segmentation of hyperspectral images is a significant challenge in remote sensing. The high dimensionality of hyperspectral data, presence of substantial noise, and overlap of classes all contribute…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 James M. Murphy , Mauro Maggioni

Modern Bayesian optimization and adaptive sampling methods increasingly rely on nonlinear parametric models, yet theoretical guarantees for such models under adaptive data collection remain limited. Existing analyses largely focus on…

Machine Learning · Statistics 2026-05-14 Rafael Oliveira

Learning linear combinations of multiple kernels is an appealing strategy when the right choice of features is unknown. Previous approaches to multiple kernel learning (MKL) promote sparse kernel combinations to support interpretability and…

Machine Learning · Computer Science 2010-10-28 Marius Kloft , Ulf Brefeld , Soeren Sonnenburg , Alexander Zien

The use of kernels for nonlinear prediction is widespread in machine learning. They have been popularized in support vector machines and used in kernel ridge regression, amongst others. Kernel methods share three aspects. First, instead of…

Machine Learning · Statistics 2025-08-25 Patrick J. F. Groenen , Michael Greenacre

Motivated by distributed machine learning settings such as Federated Learning, we consider the problem of fitting a statistical model across a distributed collection of heterogeneous data sets whose similarity structure is encoded by a…

Statistics Theory · Mathematics 2021-11-30 Dominic Richards , Sahand N. Negahban , Patrick Rebeschini

We study generalization properties of distributed algorithms in the setting of nonparametric regression over a reproducing kernel Hilbert space (RKHS). We first investigate distributed stochastic gradient methods (SGM), with mini-batches…

Machine Learning · Statistics 2018-11-06 Junhong Lin , Volkan Cevher

Multi-kernel learning (MKL) exhibits well-documented performance in online non-linear function approximation. Federated learning enables a group of learners (called clients) to train an MKL model on the data distributed among clients to…

Machine Learning · Computer Science 2023-11-10 Pouya M. Ghari , Yanning Shen

This work studies the problem of learning under both large datasets and large-dimensional feature space scenarios. The feature information is assumed to be spread across agents in a network, where each agent observes some of the features.…

Multiagent Systems · Computer Science 2020-05-26 Bicheng Ying , Kun Yuan , Ali H. Sayed

Deep neural networks have recently achieved state of the art performance thanks to new training algorithms for rapid parameter estimation and new regularization methods to reduce overfitting. However, in practice the network architecture…

Machine Learning · Computer Science 2016-03-04 Minyoung Kim , Luca Rigazio

We propose an improved estimator for the multi-task averaging problem, whose goal is the joint estimation of the means of multiple distributions using separate, independent data sets. The naive approach is to take the empirical mean of each…

Machine Learning · Statistics 2020-11-16 Hannah Marienwald , Jean-Baptiste Fermanian , Gilles Blanchard

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

Statistics Theory · Mathematics 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

Clustering algorithms partition a dataset into groups of similar points. The clustering problem is very general, and different partitions of the same dataset could be considered correct and useful. To fully understand such data, it must be…

Machine Learning · Computer Science 2021-02-02 James M. Murphy , Sam L. Polk

Recent advances in data-generating techniques led to an explosive growth of geo-spatiotemporal data. In domains such as hydrology, ecology, and transportation, interpreting the complex underlying patterns of spatiotemporal interactions with…

Machine Learning · Computer Science 2023-01-30 Aishwarya Sarkar , Chaoqun Lu , Ali Jannesari

Diffusion maps are a commonly used kernel-based method for manifold learning, which can reveal intrinsic structures in data and embed them in low dimensions. However, as with most kernel methods, its implementation requires a heavy…

Machine Learning · Computer Science 2019-12-03 Scott Gigante , Jay S. Stanley , Ngan Vu , David van Dijk , Kevin Moon , Guy Wolf , Smita Krishnaswamy

This work presents a new algorithm for training recurrent neural networks (although ideas are applicable to feedforward networks as well). The algorithm is derived from a theory in nonconvex optimization related to the diffusion equation.…

Machine Learning · Computer Science 2016-02-08 Hossein Mobahi

Remote sensing image change description represents an innovative multimodal task within the realm of remote sensing processing.This task not only facilitates the detection of alterations in surface conditions, but also provides…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Dongwei Sun , Jing Yao , Wu Xue , Changsheng Zhou , Pedram Ghamisi , Xiangyong Cao