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Support Vector Machines (SVMs) are one of the most popular supervised learning models to classify using a hyperplane in an Euclidean space. Similar to SVMs, tropical SVMs classify data points using a tropical hyperplane under the tropical…

机器学习 · 计算机科学 2022-10-05 Ruriko Yoshida , Misaki Takamori , Hideyuki Matsumoto , Keiji Miura

The support vector machine (SVM) is a powerful and widely used classification algorithm. This paper uses the Karush-Kuhn-Tucker conditions to provide rigorous mathematical proof for new insights into the behavior of SVM. These insights…

机器学习 · 统计学 2018-10-11 Iain Carmichael , J. S. Marron

Numerous phenomenological nuclear models have been proposed to describe specific observables within different regions of the nuclear chart. However, developing a unified model that describes the complex behavior of all nuclei remains an…

核理论 · 物理学 2025-05-14 Jose M. Munoz , Silviu M. Udrescu , Ronald F. Garcia Ruiz

Support Vector Machines (SVMs) are an important tool for performing classification on scattered data, where one usually has to deal with many data points in high-dimensional spaces. We propose solving SVMs in primal form using feature maps…

机器学习 · 计算机科学 2024-09-05 Kseniya Akhalaya , Franziska Nestler , Daniel Potts

While quantum machine learning (ML) has been proposed to be one of the most promising applications of quantum computing, how to build quantum ML models that outperform classical ML remains a major open question. Here, we demonstrate a…

量子物理 · 物理学 2023-03-10 Elham Torabian , Roman V. Krems

Nonlinear regression methods, such as local optimization algorithms, are widely used in the extraction of nanostructure profile parameters in optical scatterometry. The success of local optimization algorithms heavily relies on the…

最优化与控制 · 数学 2019-05-17 Jinlong Zhu , Hao Jiang , Chuanwei Zhang , Xiuguo Chen , Shiyuan Liu

In this paper, we use support vector machines (SVM) to develop a machine learning framework to discover phase space structures that distinguish between distinct reaction pathways. The SVM model is trained using data from trajectories of…

化学物理 · 物理学 2022-01-06 Vladimír Krajňák , Shibabrat Naik , Stephen Wiggins

Support Vector Machines (SVMs) are a cornerstone of supervised learning, widely used for data classification. A central component of their success lies in kernel functions, which enable efficient computation of inner products in…

量子物理 · 物理学 2025-09-16 A. Mandilara , A. D. Papadopoulos , D. Syvridis

Support vector machines (SVM) and other kernel techniques represent a family of powerful statistical classification methods with high accuracy and broad applicability. Because they use all or a significant portion of the training data,…

机器学习 · 统计学 2023-01-31 Peter Mills

This paper presents a short evaluation about the integration of information derived from wavelet non-linear-time-invariant (non-LTI) projection properties using Support Vector Machines (SVM). These properties may give additional information…

信息检索 · 计算机科学 2007-05-23 Jaime Gomez , Ignacio Melgar , Juan Seijas

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

Convolutional neural networks (CNNs) are similar to "ordinary" neural networks in the sense that they are made up of hidden layers consisting of neurons with "learnable" parameters. These neurons receive inputs, performs a dot product, and…

计算机视觉与模式识别 · 计算机科学 2019-02-08 Abien Fred Agarap

This chapter describes componentwise Least Squares Support Vector Machines (LS-SVMs) for the estimation of additive models consisting of a sum of nonlinear components. The primal-dual derivations characterizing LS-SVMs for the estimation of…

机器学习 · 计算机科学 2007-05-23 Kristiaan Pelckmans , Ivan Goethals , Jos De Brabanter , Johan A. K. Suykens , Bart De Moor

A key problem in deep learning and computational neuroscience is relating the geometrical properties of neural representations to task performance. Here, we consider this problem for continuous decoding tasks where neural variability may…

无序系统与神经网络 · 物理学 2025-07-01 Abdulkadir Canatar , SueYeon Chung

Quantum computing has become increasingly practical in solving real-world problems due to advances in hardware and algorithms. In this paper, we aim to design and estimate quantum machine learning and hybrid quantum-classical models in a…

量子物理 · 物理学 2025-07-14 Leyang Wang , Yilun Gong , Zongrui Pei

Improvement of statistical learning models in order to increase efficiency in solving classification or regression problems is still a goal pursued by the scientific community. In this way, the support vector machine model is one of the…

机器学习 · 统计学 2019-11-22 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

This study introduces a novel formulation to enhance Support Vector Machines (SVMs) in handling class imbalance and noise. Unlike the conventional Soft Margin SVM, which penalizes the magnitude of constraint violations, the proposed model…

机器学习 · 计算机科学 2025-03-20 Seyed Mojtaba Mohasel , Hamidreza Koosha

It is known that the classification performance of Support Vector Machine (SVM) can be conveniently affected by the different parameters of the kernel tricks and the regularization parameter, C. Thus, in this article, we propose a study in…

计算与语言 · 计算机科学 2015-07-23 Rimah Amami , Dorra Ben Ayed , Noureddine Ellouze

In the existing research of mammogram image classification, either clinical data or image features of a specific type is considered along with the supervised classifiers such as Neural Network (NN) and Support Vector Machine (SVM). This…

计算机视觉与模式识别 · 计算机科学 2020-09-22 S. Kavitha , K. K. Thyagharajan

In this paper, we consider the binary classification problem via distributed Support-Vector-Machines (SVM), where the idea is to train a network of agents, with limited share of data, to cooperatively learn the SVM classifier for the global…

系统与控制 · 电气工程与系统科学 2021-04-02 Mohammadreza Doostmohammadian , Alireza Aghasi , Themistoklis Charalambous , Usman A. Khan