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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…

Machine Learning · Statistics 2018-10-11 Iain Carmichael , J. S. Marron

Support Vector Machines (SVM), a popular machine learning technique, has been applied to a wide range of domains such as science, finance, and social networks for supervised learning. Whether it is identifying high-risk patients by…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-20 Jeyanthi Narasimhan , Abhinav Vishnu , Lawrence Holder , Adolfy Hoisie

Vector addition systems are an important model in theoretical computer science and have been used for the analysis of systems in a variety of areas. Termination is a crucial property of vector addition systems and has received considerable…

Logic in Computer Science · Computer Science 2017-10-31 Florian Zuleger

The support vector machine (SVM) is an important class of learning machines for function approach, pattern recognition, and time-serious prediction, etc. It maps samples into the feature space by so-called support vectors of selected…

Machine Learning · Statistics 2016-02-15 Hong Zhao

A Comment on the Letter by M. Rupp et al., Phys. Rev. Lett. 108 058301 (2012).

Materials Science · Physics 2012-08-07 Jonathan E. Moussa

The support vector machine is a flexible optimization-based technique widely used for classification problems. In practice, its training part becomes computationally expensive on large-scale data sets because of such reasons as the…

Machine Learning · Statistics 2016-11-28 Ehsan Sadrfaridpour , Sandeep Jeereddy , Ken Kennedy , Andre Luckow , Talayeh Razzaghi , Ilya Safro

Reply to the Comment by F. Corberi, E. Lipiello and M. Zannetti (cond-mat/0211609).

Statistical Mechanics · Physics 2009-11-10 Malte Henkel , Michel Pleimling

Support Vector Machines (SVMs) are popular tools for data mining tasks such as classification, regression, and density estimation. However, original SVM (C-SVM) only considers local information of data points on or over the margin.…

Artificial Intelligence · Computer Science 2010-09-28 Xin Liu , Ying Ding , Forrest Sheng Bao

To appear in Phys. Rev. Lett. together with the author's Reply.

Astrophysics · Physics 2008-11-26 J. I. Collar

Support vector machine algorithms are considered essential for the implementation of automation in a radio access network. Specifically, they are critical in the prediction of the quality of user experience for video streaming based on…

Emerging Technologies · Computer Science 2019-09-27 Jiaying Yang , Ahsan Javed Awan , Gemma Vall-Llosera

The question raised by [Bastin and Martin 2003 J. Phys. B: At. Mol. Opt. Phys. 36, 4201] is examined and used to explain in more detail a key point of our calculations. They have sought to rebut criticisms raised by us of certain techniques…

Quantum Physics · Physics 2009-11-10 M. Abdel-Aty , A. -S. F. Obada

Support vector machine (SVM) has attracted great attentions for the last two decades due to its extensive applications, and thus numerous optimization models have been proposed. To distinguish all of them, in this paper, we introduce a new…

Optimization and Control · Mathematics 2021-04-06 Huajun Wang , Yuanhai Shao , Shenglong Zhou , Ce Zhang , Naihua Xiu

New cases of the multiplicity conjecture are considered.

Commutative Algebra · Mathematics 2007-05-23 Juergen Herzog , Xinxian Zheng

The contributions at the DIS2008 workshop in the working group on Diffraction and Vector Mesons are summarised.

High Energy Physics - Phenomenology · Physics 2009-01-19 M. Capua , M. Grothe , D. Yu. Ivanov , M. N. Kapishin

Reply to the Comment physics/0307134 by A. Helmstetter and D. Sornette

This is a preliminary version of the textbook on integrable systems. The work has been partly supported by Grant Nr.10/2006-RU, Austrian Academic Exchange Service \"OAD and Grant P20164-N18, Austrian Science Fund FWF

Exactly Solvable and Integrable Systems · Physics 2011-03-15 Alexey Shabat , Elena Kartashova

We look at the covariant techniques and the ideas on constraints and gauge-invariance, which were recently employed in [gr-qc/0702104] to support earlier work by the same authors. That work was criticised in [gr-qc/0503042]. Using very…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Christos G. Tsagas

The various versions of cond-mat/0312353 discuss results obtained by me&coworkers in the last decade. I have received requests to comment on the paper and the comments are collected here, including some that I tried to point in the course…

Statistical Mechanics · Physics 2007-05-23 Giovanni Gallavotti

A comment on the paper "Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3", Few-Body Syst. 41, 185 (2007) [hep-ph/0511291].

High Energy Physics - Phenomenology · Physics 2008-07-09 S. -Y. Wang

General considerations on the Equivalence conjectures and a review of few mathematical results.

Statistical Mechanics · Physics 2022-11-08 Giovanni Gallavotti