Stretchy multivariate polynomial classification

Kar Ann Toh

doi:10.1109/ISSNIP.2015.7106898

Stretchy multivariate polynomial classification

Kar Ann Toh

Department of Electrical and Electronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

A stretchy classification methodology adopting multivariate polynomials is proposed in this paper. Through minimization of an approximated p-norm of the parameter vector subject to classification error constraints, an approximated minimum norm solution in dual form is derived for under-determined systems. This is subsequently transformed into its primal form for over-determined systems. Practical feasibility of the proposed solution is illustrated by an evaluation on synthetic data as well as an application on benchmark real-world data.

Original language	English
Title of host publication	2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781479980550
DOIs	https://doi.org/10.1109/ISSNIP.2015.7106898
Publication status	Published - 2015 May 13
Event	10th IEEE International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015 - Singapore, Singapore Duration: 2015 Apr 7 → 2015 Apr 9

Publication series

Name	2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015

Other

Other	10th IEEE International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015
Country/Territory	Singapore
City	Singapore
Period	15/4/7 → 15/4/9

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering
Computer Networks and Communications
Information Systems

Access to Document

10.1109/ISSNIP.2015.7106898

Cite this

Toh, K. A. (2015). Stretchy multivariate polynomial classification. In 2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015 [7106898] (2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISSNIP.2015.7106898

Toh, Kar Ann. / Stretchy multivariate polynomial classification. 2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015. Institute of Electrical and Electronics Engineers Inc., 2015. (2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015).

@inproceedings{7148779145f441d6a33efd55bb731d3f,

title = "Stretchy multivariate polynomial classification",

abstract = "A stretchy classification methodology adopting multivariate polynomials is proposed in this paper. Through minimization of an approximated p-norm of the parameter vector subject to classification error constraints, an approximated minimum norm solution in dual form is derived for under-determined systems. This is subsequently transformed into its primal form for over-determined systems. Practical feasibility of the proposed solution is illustrated by an evaluation on synthetic data as well as an application on benchmark real-world data.",

author = "Toh, {Kar Ann}",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 10th IEEE International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015 ; Conference date: 07-04-2015 Through 09-04-2015",

year = "2015",

month = may,

day = "13",

doi = "10.1109/ISSNIP.2015.7106898",

language = "English",

series = "2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015",

address = "United States",

}

Toh, KA 2015, Stretchy multivariate polynomial classification. in 2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015., 7106898, 2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015, Institute of Electrical and Electronics Engineers Inc., 10th IEEE International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015, Singapore, Singapore, 15/4/7. https://doi.org/10.1109/ISSNIP.2015.7106898

Stretchy multivariate polynomial classification. / Toh, Kar Ann.

2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015. Institute of Electrical and Electronics Engineers Inc., 2015. 7106898 (2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - A stretchy classification methodology adopting multivariate polynomials is proposed in this paper. Through minimization of an approximated p-norm of the parameter vector subject to classification error constraints, an approximated minimum norm solution in dual form is derived for under-determined systems. This is subsequently transformed into its primal form for over-determined systems. Practical feasibility of the proposed solution is illustrated by an evaluation on synthetic data as well as an application on benchmark real-world data.

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BT - 2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015

PB - Institute of Electrical and Electronics Engineers Inc.

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Toh KA. Stretchy multivariate polynomial classification. In 2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015. Institute of Electrical and Electronics Engineers Inc. 2015. 7106898. (2015 IEEE 10th International Conference on Intelligent Sensors, Sensor Networks and Information Processing, ISSNIP 2015). doi: 10.1109/ISSNIP.2015.7106898

Stretchy multivariate polynomial classification

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