Perceptrons with Hebbian learning based on wave ensembles in spatially patterned potentials
A general scheme to realize a perceptron for hardware neural networks is presented, where multiple interconnections are achieved by a superposition of Schrödinger waves. Spatially patterned potentials process information by coupling different points of reciprocal space. The necessary potential shape...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2015
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| Online Access: | https://hdl.handle.net/10356/107134 http://hdl.handle.net/10220/25402 |
| _version_ | 1826130133713420288 |
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| author | Liew, Timothy Chi Hin Espinosa-Ortega, Tania |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Liew, Timothy Chi Hin Espinosa-Ortega, Tania |
| author_sort | Liew, Timothy Chi Hin |
| collection | NTU |
| description | A general scheme to realize a perceptron for hardware neural networks is presented, where multiple interconnections are achieved by a superposition of Schrödinger waves. Spatially patterned potentials process information by coupling different points of reciprocal space. The necessary potential shape is obtained from the Hebbian learning rule, either through exact calculation or construction from a superposition of known optical inputs. This allows implementation in a wide range of compact optical systems, including (1) any nonlinear optical system, (2) optical systems patterned by optical lithography, and (3) exciton-polariton systems with phonon or nuclear spin interactions. |
| first_indexed | 2024-10-01T07:51:32Z |
| format | Journal Article |
| id | ntu-10356/107134 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:51:32Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | ntu-10356/1071342023-02-28T19:28:10Z Perceptrons with Hebbian learning based on wave ensembles in spatially patterned potentials Liew, Timothy Chi Hin Espinosa-Ortega, Tania School of Physical and Mathematical Sciences DRNTU::Science::Physics::Optics and light A general scheme to realize a perceptron for hardware neural networks is presented, where multiple interconnections are achieved by a superposition of Schrödinger waves. Spatially patterned potentials process information by coupling different points of reciprocal space. The necessary potential shape is obtained from the Hebbian learning rule, either through exact calculation or construction from a superposition of known optical inputs. This allows implementation in a wide range of compact optical systems, including (1) any nonlinear optical system, (2) optical systems patterned by optical lithography, and (3) exciton-polariton systems with phonon or nuclear spin interactions. Published version 2015-04-14T02:22:03Z 2019-12-06T22:25:27Z 2015-04-14T02:22:03Z 2019-12-06T22:25:27Z 2015 2015 Journal Article Espinosa-Ortega, T., & Liew, T. C. H. (2015). Perceptrons with Hebbian learning based on wave ensembles in spatially patterned potentials. Physical review letters, 114(11). https://hdl.handle.net/10356/107134 http://hdl.handle.net/10220/25402 10.1103/PhysRevLett.114.118101 en Physical review letters © 2015 American Physical Society. This paper was published in Physical Review Letters and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevLett.114.118101]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 6 p. application/pdf |
| spellingShingle | DRNTU::Science::Physics::Optics and light Liew, Timothy Chi Hin Espinosa-Ortega, Tania Perceptrons with Hebbian learning based on wave ensembles in spatially patterned potentials |
| title | Perceptrons with Hebbian learning based on wave ensembles in spatially patterned potentials |
| title_full | Perceptrons with Hebbian learning based on wave ensembles in spatially patterned potentials |
| title_fullStr | Perceptrons with Hebbian learning based on wave ensembles in spatially patterned potentials |
| title_full_unstemmed | Perceptrons with Hebbian learning based on wave ensembles in spatially patterned potentials |
| title_short | Perceptrons with Hebbian learning based on wave ensembles in spatially patterned potentials |
| title_sort | perceptrons with hebbian learning based on wave ensembles in spatially patterned potentials |
| topic | DRNTU::Science::Physics::Optics and light |
| url | https://hdl.handle.net/10356/107134 http://hdl.handle.net/10220/25402 |
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