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| Presentation | 2018-06-14 09:20 How to represent a polynomial function by Neural Networks with rectified linear units Hideaki Okazaki, Kazuya Ozawa, Kaito Isogai, Toshihiro Tachibana, Hideo Nakano (SIT)  CAS2018-2 VLD2018-5 SIP2018-22 MSS2018-2 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In this report we study how to represent an exact polynomial function by neural networks (NN) with rectified linear units (ReLU). We focus on a three-layer neural network that has two input nodes, four hidden processing nodes, and a single output node for a polynomial function : $alpha_0 + alpha_1 x_1 + alpha_2 x_2 + alpha_3 x_1 x_2$. We give a method to obtain the hyperparameters of the three-layer ReLU NN representing $alpha_0 + alpha_1 x_1 + alpha_2 x_2 + alpha_3 x_1 x_2$. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Neural Network / Polynomial function representation / / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 118, no. 82, CAS2018-2, pp. 7-10, June 2018. | |
| Paper # | CAS2018-2 | |
| Date of Issue | 2018-06-07 (CAS, VLD, SIP, MSS) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | CAS2018-2 VLD2018-5 SIP2018-22 MSS2018-2 |
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| Conference Information | |
| Committee | CAS SIP MSS VLD |
| Conference Date | 2018-06-14 - 2018-06-15 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Hokkaido Univ. (Frontier Research in Applied Sciences Build.) |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | System and Signal Processing, etc |
| Paper Information | |
| Registration To | CAS |
| Conference Code | 2018-06-CAS-SIP-MSS-VLD |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | How to represent a polynomial function by Neural Networks with rectified linear units |
| Sub Title (in English) | |
| Keyword(1) | Neural Network |
| Keyword(2) | Polynomial function representation |
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| 1st Author's Name | Hideaki Okazaki |
| 1st Author's Affiliation | Shonan Institute of Technology (SIT) |
| 2nd Author's Name | Kazuya Ozawa |
| 2nd Author's Affiliation | Shonan Institute of Technology (SIT) |
| 3rd Author's Name | Kaito Isogai |
| 3rd Author's Affiliation | Shonan Institute of Technology (SIT) |
| 4th Author's Name | Toshihiro Tachibana |
| 4th Author's Affiliation | Shonan Institute of Technology (SIT) |
| 5th Author's Name | Hideo Nakano |
| 5th Author's Affiliation | Shonan Institute of Technology (SIT) |
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| Speaker | Author-1 |
| Date Time | 2018-06-14 09:20:00 |
| Presentation Time | 20 minutes |
| Registration for | CAS |
| Paper # | CAS2018-2, VLD2018-5, SIP2018-22, MSS2018-2 |
| Volume (vol) | vol.118 |
| Number (no) | no.82(CAS), no.83(VLD), no.84(SIP), no.85(MSS) |
| Page | pp.7-10 |
| #Pages | 4 |
| Date of Issue | 2018-06-07 (CAS, VLD, SIP, MSS) |
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