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We address the problem of model selection for Support Vector Machine (SVM) classification. For fixed functional form of the kernel, model selection amounts to tuning kernel parameters and the slack penalty coefficient $C$. We begin by…

无序系统与神经网络 · 物理学 2007-05-23 Carl Gold , Peter Sollich

In this paper there is proposed a generalized version of the SVM for binary classification problems in the case of using an arbitrary transformation x -> y. An approach similar to the classic SVM method is used. The problem is widely…

机器学习 · 计算机科学 2014-04-16 E. G. Abramov , A. B. Komissarov , D. A. Kornyakov

This work focuses on support vector machine (SVM) with feature selection. A MILP formulation is proposed for the problem. The choice of suitable features to construct the separating hyperplanes has been modelled in this formulation by…

最优化与控制 · 数学 2018-08-08 Martine Labbé , Luisa I. Martínez-Merino , Antonio M. Rodríguez-Chía

Specification tests, such as Integrated Conditional Moment (ICM) and Kernel Conditional Moment (KCM) tests, are crucial for model validation but often lack power in finite samples. This paper proposes a novel framework to enhance…

计量经济学 · 经济学 2025-05-08 Yuhao Li , Xiaojun Song

Distance metric learning aims to learn from the given training data a valid distance metric, with which the similarity between data samples can be more effectively evaluated for classification. Metric learning is often formulated as a…

机器学习 · 计算机科学 2015-02-03 Wangmeng Zuo , Faqiang Wang , David Zhang , Liang Lin , Yuchi Huang , Deyu Meng , Lei Zhang

Kernel-based methods for support vector machines (SVM) have shown highly advantageous performance in various applications. However, they may incur prohibitive computational costs for large-scale sample datasets. Therefore, data reduction…

最优化与控制 · 数学 2021-04-27 Shenglong Zhou

Binary classification rules based on covariates typically depend on simple loss functions such as zero-one misclassification. Some cases may require more complex loss functions. For example, individual-level monitoring of HIV-infected…

机器学习 · 统计学 2019-05-14 Yizhen Xu , Tao Liu , Michael J. Daniels , Rami Kantor , Ann Mwangi , Joseph W. Hogan

Support vector classification (SVC) is a classical and well-performed learning method for classification problems. A regularization parameter, which significantly affects the classification performance, has to be chosen and this is usually…

最优化与控制 · 数学 2021-10-06 Qingna Li , Zhen Li , Alain Zemkoho

In this work we study binary classification problems where we assume that our training data is subject to uncertainty, i.e. the precise data points are not known. To tackle this issue in the field of robust machine learning the aim is to…

机器学习 · 计算机科学 2022-03-04 Jannis Kurtz

The purpose of this report is in examining the generalization performance of Support Vector Machines (SVM) as a tool for pattern recognition and object classification. The work is motivated by the growing popularity of the method that is…

机器学习 · 计算机科学 2014-12-16 Eugene Borovikov

Constrained combinatorial optimization problems (CCOPs) are challenging to solve due to the exponential growth of the solution space. When tackled with Ising machines, constraints are typically enforced by the penalty function method, whose…

统计力学 · 物理学 2025-10-31 Shunta Ide , Shuta Kikuchi , Shu Tanaka

The twin support vector machine (TWSVM) classifier has attracted increasing attention because of its low computational complexity. However, its performance tends to degrade when samples are affected by noise. The granular-ball fuzzy support…

机器学习 · 计算机科学 2024-08-02 Lixi Zhao , Weiping Ding , Duoqian Miao , Guangming Lang

Parameter estimation for differential equations from measured data is an inverse problem prevalent across quantitative sciences. Physics-Informed Neural Networks (PINNs) have emerged as effective tools for solving such problems, especially…

机器学习 · 计算机科学 2025-04-08 Marius Almanstötter , Roman Vetter , Dagmar Iber

The steady progress of quantum hardware is motivating the search for novel quantum algorithm optimization strategies for near-term, real-world applications. In this study, we propose a novel feature map optimization strategy for Quantum…

量子物理 · 物理学 2025-03-31 Roberto Moretti , Andrea Giachero , Voica Radescu , Michele Grossi

In the last few years, various types of machine learning algorithms, such as Support Vector Machine (SVM), Support Vector Regression (SVR), and Non-negative Matrix Factorization (NMF) have been introduced. The kernel approach is an…

机器学习 · 计算机科学 2022-12-16 Sajad Fathi Hafshejani , Zahra Moberfard

This work presents a fully quantum approach to support vector machine (SVM) learning by integrating gate-based quantum kernel methods with quantum annealing-based optimization. We explore the construction of quantum kernels using various…

量子物理 · 物理学 2025-09-08 Mario Bifulco , Luca Roversi

We review the concept of Support Vector Machines (SVMs) and discuss examples of their use in a number of scenarios. Several SVM implementations have been used in HEP and we exemplify this algorithm using the Toolkit for Multivariate…

数据分析、统计与概率 · 物理学 2017-12-06 Adrian Bevan , Rodrigo Gamboa Goñi , Jon Hays , Tom Stevenson

Phasor Measurement Units (PMUs) are essential measuring devices for monitoring, control and protection of power systems. The objective of the optimal PMU placement (OPP) problem is to minimize the number of PMUs and select the bus locations…

最优化与控制 · 数学 2015-08-25 Nikolaos Theodorakatos , Nikolaos Manousakis , George Korres

Machine learning algorithms must be able to efficiently cope with massive data sets. Therefore, they have to scale well on any modern system and be able to exploit the computing power of accelerators independent of their vendor. In the…

机器学习 · 计算机科学 2022-09-07 Alexander Van Craen , Marcel Breyer , Dirk Pflüger

Among the most famous algorithms for solving classification problems are support vector machines (SVMs), which find a separating hyperplane for a set of labeled data points. In some applications, however, labels are only available for a…

最优化与控制 · 数学 2023-10-17 Jan Pablo Burgard , Maria Eduarda Pinheiro , Martin Schmidt