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This paper investigates the asymptotic behavior of the soft-margin and hard-margin support vector machine (SVM) classifiers for simultaneously high-dimensional and numerous data (large $n$ and large $p$ with $n/p\to\delta$) drawn from a…

Information Theory · Computer Science 2020-03-31 Abla Kammoun , Mohamed-Slim Alouini

A machine learning-based detection framework is proposed to detect a class of cyber-attacks that redistribute loads by modifying measurements. The detection framework consists of a multi-output support vector regression (SVR) load predictor…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Zhigang Chu , Oliver Kosut , Lalitha Sankar

Support vector machines (SVMs) are special kernel based methods and belong to the most successful learning methods since more than a decade. SVMs can informally be described as a kind of regularized M-estimators for functions and have…

Machine Learning · Statistics 2010-07-26 Andreas Christmann , Robert Hable

We study strongly convex distributed optimization problems where a set of agents are interested in solving a separable optimization problem collaboratively. In this paper, we propose and study a two time-scale decentralized gradient descent…

Optimization and Control · Mathematics 2022-08-16 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

The aim of this paper is to study the convergence of the primal-dual dynamics pertaining to Support Vector Machines (SVM). The optimization routine, used for determining an SVM for classification, is first formulated as a dynamical system.…

Systems and Control · Computer Science 2018-05-03 Krishna Chaitanya Kosaraju , Shravan Mohan , Ramkrishna Pasumarthy

We consider the problem of learning a classifier from observed functional data. Here, each data-point takes the form of a single time-series and contains numerous features. Assuming that each such series comes with a binary label, the…

Machine Learning · Computer Science 2020-02-25 Kristiaan Pelckmans , Hong-Li Zeng

Support vector machine (SVM) has been one of the most popular learning algorithms, with the central idea of maximizing the minimum margin, i.e., the smallest distance from the instances to the classification boundary. Recent theoretical…

Machine Learning · Computer Science 2020-07-07 Teng Zhang , Zhi-Hua Zhou

This work proposes a decentralized architecture, where individual agents aim at solving a classification problem while observing streaming features of different dimensions and arising from possibly different distributions. In the context of…

Machine Learning · Computer Science 2022-12-27 Virginia Bordignon , Stefan Vlaski , Vincenzo Matta , Ali H. Sayed

We explore the merits of training of support vector machines for binary classification by means of solving systems of ordinary differential equations. We thus assume a continuous time perspective on a machine learning problem which may be…

Machine Learning · Computer Science 2022-08-10 Christian Bauckhage , Helen Schneider , Benjamin Wulff , Rafet Sifa

In this dissertation we report results of our research on dense distributed representations of text data. We propose two novel neural models for learning such representations. The first model learns representations at the document level,…

Computation and Language · Computer Science 2019-01-08 Karol Grzegorczyk

This paper studies a distributed state estimation problem for both continuous- and discrete-time linear systems. A simply structured distributed estimator (comprising interconnected local estimators) is first described for estimating the…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Lili Wang , Ji Liu , Brian B. O. Anderson , A. Stephen Morse

We investigate the problem of agent-to-agent interaction in decentralized (federated) learning over time-varying directed graphs, and, in doing so, propose a consensus-based algorithm called DSGTm-TV. The proposed algorithm incorporates…

Optimization and Control · Mathematics 2024-09-27 Duong Thuy Anh Nguyen , Su Wang , Duong Tung Nguyen , Angelia Nedich , H. Vincent Poor

In domains such as health care and finance, shortage of labeled data and computational resources is a critical issue while developing machine learning algorithms. To address the issue of labeled data scarcity in training and deployment of…

Machine Learning · Computer Science 2018-10-16 Otkrist Gupta , Ramesh Raskar

The aim of this work is to develop a fully-distributed algorithmic framework for training graph convolutional networks (GCNs). The proposed method is able to exploit the meaningful relational structure of the input data, which are collected…

Machine Learning · Computer Science 2022-12-21 Simone Scardapane , Indro Spinelli , Paolo Di Lorenzo

In this letter, we study distributed optimization, where a network of agents, abstracted as a directed graph, collaborates to minimize the average of locally-known convex functions. Most of the existing approaches over directed graphs are…

Optimization and Control · Mathematics 2018-06-08 Ran Xin , Usman A. Khan

The diversification (generating slightly varying separating discriminators) of Support Vector Machines (SVMs) for boosting has proven to be a challenge due to the strong learning nature of SVMs. Based on the insight that perturbing the SVM…

Machine Learning · Computer Science 2024-10-30 Shounak Datta , Sayak Nag , Sankha Subhra Mullick , Swagatam Das

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

Machine Learning · Computer Science 2012-07-03 Qiang Liu , Alexander Ihler

Support vector machine (SVM) has been one of the most popular learning algorithms, with the central idea of maximizing the minimum margin, i.e., the smallest distance from the instances to the classification boundary. Recent theoretical…

Machine Learning · Computer Science 2014-05-26 Teng Zhang , Zhi-Hua Zhou

Support vector machines (SVMs) are widely used and constitute one of the best examined and used machine learning models for two-class classification. Classification in SVM is based on a score procedure, yielding a deterministic…

Machine Learning · Statistics 2023-10-11 Sandra Benítez-Peña , Rafael Blanquero , Emilio Carrizosa , Pepa Ramírez-Cobo

Research in machine learning has successfully developed algorithms to build accurate classification models. However, in many real-world applications, such as healthcare, customer satisfaction, and environment protection, we want to be able…

Machine Learning · Computer Science 2020-12-08 Samuel Marc Denton , Ansaf Salleb-Aouissi