Implementation of 3-D multiple linear regression in hardware using the xilinx spartan-3AN FPGA

Ian Grout; Willian De Assis Pedrobon Ferreira; Alexandre Cesar Rodrigues Da Silva

doi:10.1109/ECTI-CON47248.2019.8955155

Implementation of 3-D multiple linear regression in hardware using the xilinx spartan-3AN FPGA

Ian Grout, Willian De Assis Pedrobon Ferreira, Alexandre Cesar Rodrigues Da Silva

Department of Electronics & Computer Engineering

Universidade Estadual Paulista Júlio de Mesquita Filho

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

Abstract

In this paper, a linear regression algorithm implementation in hardware using the Field Programmable Gate Array (FPGA) is presented. A two-dimensional (2-D) simple linear regression aims to develop a linear equation of two variables based on observed data values in two dimensions. A more complex problem that this considered in this paper is the three-dimensional (3-D) multiple linear regression that approximates a linear equation of three variables based on a set of observed data points in three dimensions. The algorithm was initially modelled and verified using Python, NumPy and Matplotlib. The linear regression equation was then translated to hardware using a VHDL description of the algorithm targeting the Xilinx Spartan-3AN FPGA. In this paper, the design and simulation of the algorithm based on using the available hardware resources within the FPGA are introduced and discussed.

Original language	English
Title of host publication	Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	171-174
Number of pages	4
ISBN (Electronic)	9781728133614
DOIs	https://doi.org/10.1109/ECTI-CON47248.2019.8955155
Publication status	Published - Jul 2019
Event	16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019 - Pattaya, Chonburi, Thailand Duration: 10 Jul 2019 → 13 Jul 2019

Publication series

Name	Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019

Conference

Conference	16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019
Country/Territory	Thailand
City	Pattaya, Chonburi
Period	10/07/19 → 13/07/19

Keywords

FPGA
Hardware
Linear regression
Machine learning
VHDL

Access to Document

10.1109/ECTI-CON47248.2019.8955155

Cite this

Grout, I., Ferreira, W. D. A. P., & Silva, A. C. R. D. (2019). Implementation of 3-D multiple linear regression in hardware using the xilinx spartan-3AN FPGA. In Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019 (pp. 171-174). Article 8955155 (Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECTI-CON47248.2019.8955155

Grout, Ian ; Ferreira, Willian De Assis Pedrobon ; Silva, Alexandre Cesar Rodrigues Da. / Implementation of 3-D multiple linear regression in hardware using the xilinx spartan-3AN FPGA. Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 171-174 (Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019).

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title = "Implementation of 3-D multiple linear regression in hardware using the xilinx spartan-3AN FPGA",

abstract = "In this paper, a linear regression algorithm implementation in hardware using the Field Programmable Gate Array (FPGA) is presented. A two-dimensional (2-D) simple linear regression aims to develop a linear equation of two variables based on observed data values in two dimensions. A more complex problem that this considered in this paper is the three-dimensional (3-D) multiple linear regression that approximates a linear equation of three variables based on a set of observed data points in three dimensions. The algorithm was initially modelled and verified using Python, NumPy and Matplotlib. The linear regression equation was then translated to hardware using a VHDL description of the algorithm targeting the Xilinx Spartan-3AN FPGA. In this paper, the design and simulation of the algorithm based on using the available hardware resources within the FPGA are introduced and discussed.",

keywords = "FPGA, Hardware, Linear regression, Machine learning, VHDL",

author = "Ian Grout and Ferreira, {Willian De Assis Pedrobon} and Silva, {Alexandre Cesar Rodrigues Da}",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019 ; Conference date: 10-07-2019 Through 13-07-2019",

year = "2019",

month = jul,

doi = "10.1109/ECTI-CON47248.2019.8955155",

language = "English",

series = "Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019",

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Grout, I, Ferreira, WDAP & Silva, ACRD 2019, Implementation of 3-D multiple linear regression in hardware using the xilinx spartan-3AN FPGA. in Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019., 8955155, Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019, Institute of Electrical and Electronics Engineers Inc., pp. 171-174, 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019, Pattaya, Chonburi, Thailand, 10/07/19. https://doi.org/10.1109/ECTI-CON47248.2019.8955155

Implementation of 3-D multiple linear regression in hardware using the xilinx spartan-3AN FPGA. / Grout, Ian; Ferreira, Willian De Assis Pedrobon; Silva, Alexandre Cesar Rodrigues Da.
Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 171-174 8955155 (Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019).

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

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Grout I, Ferreira WDAP, Silva ACRD. Implementation of 3-D multiple linear regression in hardware using the xilinx spartan-3AN FPGA. In Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 171-174. 8955155. (Proceedings of the 16th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2019). doi: 10.1109/ECTI-CON47248.2019.8955155

Implementation of 3-D multiple linear regression in hardware using the xilinx spartan-3AN FPGA

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