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We develop an Iterative version of the Singular Value Decomposition (ISVD) that jointly analyzes a finite number of data matrices to identify signals that correlate among the rows of matrices. It will be illustrated how the supervised…

最优化与控制 · 数学 2016-12-01 Mohsen Rakhshan

The Gaussian kernel is a very popular kernel function used in many machine learning algorithms, especially in support vector machines (SVMs). It is more often used than polynomial kernels when learning from nonlinear datasets, and is…

机器学习 · 计算机科学 2020-05-27 Arit Kumar Bishwas , Ashish Mani , Vasile Palade

Quadratic programming is a ubiquitous prototype in convex programming. Many machine learning problems can be formulated as quadratic programming, including the famous Support Vector Machines (SVMs). Linear and kernel SVMs have been among…

最优化与控制 · 数学 2025-02-13 Yuzhou Gu , Zhao Song , Lichen Zhang

Visual sensor networks (VSNs) constitute a fundamental class of distributed sensing systems, with unique complexity and appealing performance features, which correspondingly bring in quite active lines of research. An important research…

信号处理 · 电气工程与系统科学 2022-07-08 Luca Varotto , Marco Fabris , Giulia Michieletto , Angelo Cenedese

Anomaly detection is a crucial machine-learning task with wide-ranging applications. Deep Support Vector Data Description (Deep SVDD) is a prominent deep one-class method, but it is vulnerable to hypersphere collapse, often relies on…

机器学习 · 计算机科学 2026-03-10 Zhiji Yang , Mei Huang , Xinyu Li , Xianli Pan , Qi Wang , Jianhua Zhao

Stein Variational Gradient Descent (SVGD) is a popular sampling algorithm used in various machine learning tasks. It is well known that SVGD arises from a discretization of the kernelized gradient flow of the Kullback-Leibler divergence…

机器学习 · 计算机科学 2022-11-22 Lukang Sun , Peter Richtárik

The ability to express a learning task in terms of a primal and a dual optimization problem lies at the core of a plethora of machine learning methods. For example, Support Vector Machine (SVM), Least-Squares Support Vector Machine…

机器学习 · 计算机科学 2024-10-22 Frederiek Wesel , Kim Batselier

In this article, a large dimensional performance analysis of kernel least squares support vector machines (LS-SVMs) is provided under the assumption of a two-class Gaussian mixture model for the input data. Building upon recent advances in…

机器学习 · 统计学 2021-03-18 Zhenyu Liao , Romain Couillet

The development of the manufacturing systems has made it increasingly necessary to monitor the data generated by multiple interconnected subsystems with rapid incoming of samples. Based on incremental Singular Value Decomposition (ISVD), we…

系统与控制 · 电气工程与系统科学 2023-10-23 Xinmiao Luan , Qing Zou , Jian Li , Andi Wang

A novel linear classification method that possesses the merits of both the Support Vector Machine (SVM) and the Distance-weighted Discrimination (DWD) is proposed in this article. The proposed Distance-weighted Support Vector Machine method…

机器学习 · 统计学 2015-10-09 Xingye Qiao , Lingsong Zhang

Stochastic Gradient Descent (SGD) is a known stochastic iterative method popular for large-scale convex optimization problems due to its simple implementation and scalability. Some objectives, such as those found in complex-valued neural…

机器学习 · 计算机科学 2026-05-26 Natanael Alpay , Emeric Battaglia

For binary classification we establish learning rates up to the order of $n^{-1}$ for support vector machines (SVMs) with hinge loss and Gaussian RBF kernels. These rates are in terms of two assumptions on the considered distributions:…

统计理论 · 数学 2007-08-22 Ingo Steinwart , Clint Scovel

Deep kernel learning combines the non-parametric flexibility of kernel methods with the inductive biases of deep learning architectures. We propose a novel deep kernel learning model and stochastic variational inference procedure which…

机器学习 · 统计学 2016-11-03 Andrew Gordon Wilson , Zhiting Hu , Ruslan Salakhutdinov , Eric P. Xing

Ensembles of deep neural networks have achieved great success recently, but they do not offer a proper Bayesian justification. Moreover, while they allow for averaging of predictions over several hypotheses, they do not provide any…

机器学习 · 计算机科学 2021-06-23 Francesco D'Angelo , Vincent Fortuin , Florian Wenzel

Diagnosis of Autism Spectrum Disorder (ASD) using clinical evaluation (cognitive tests) is challenging due to wide variations amongst individuals. Since no effective treatment exists, prompt and reliable ASD diagnosis can enable the…

图像与视频处理 · 电气工程与系统科学 2022-03-11 Devika K , Venkata Ramana Murthy Oruganti , Dwarikanath Mahapatra , Ramanathan Subramanian

Metric space magnitude, an active field of research in algebraic topology, is a scalar quantity that summarizes the effective number of distinct points that live in a general metric space. The {\em weighting vector} is a closely-related…

机器学习 · 计算机科学 2021-06-03 Eric Bunch , Jeffery Kline , Daniel Dickinson , Suhaas Bhat , Glenn Fung

Stein variational gradient descent (SVGD) was recently proposed as a general purpose nonparametric variational inference algorithm [Liu & Wang, NIPS 2016]: it minimizes the Kullback-Leibler divergence between the target distribution and its…

机器学习 · 统计学 2018-10-31 Gianluca Detommaso , Tiangang Cui , Alessio Spantini , Youssef Marzouk , Robert Scheichl

In traditional boosting algorithms, the focus on misclassified training samples emphasizes their importance based on difficulty during the learning process. While using a standard Support Vector Machine (SVM) as a weak learner in an…

机器学习 · 计算机科学 2024-10-10 Junbo Jacob Lian

Typically, voice conversion is regarded as an engineering problem with limited training data. The reliance on massive amounts of data hinders the practical applicability of deep learning approaches, which have been extensively researched in…

声音 · 计算机科学 2023-09-11 Mohamadreza Jafaryani , Hamid Sheikhzadeh , Vahid Pourahmadi

The classical hinge-loss support vector machines (SVMs) model is sensitive to outlier observations due to the unboundedness of its loss function. To circumvent this issue, recent studies have focused on non-convex loss functions, such as…

机器学习 · 计算机科学 2022-07-19 Ítalo Santana , Breno Serrano , Maximilian Schiffer , Thibaut Vidal