Computing matrix inversion with optical networks
With this paper we bring about a discussion on the computing potential of complex optical networks and provide experimental demonstration that an optical fiber network can be used as an analog processor to calculate matrix inversion. A 3x3 matrix is inverted as a proof-of-concept demonstration using...
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| Vydáno v: | Optics express Ročník 22; číslo 1; s. 295 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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United States
13.01.2014
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| ISSN: | 1094-4087, 1094-4087 |
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| Abstract | With this paper we bring about a discussion on the computing potential of complex optical networks and provide experimental demonstration that an optical fiber network can be used as an analog processor to calculate matrix inversion. A 3x3 matrix is inverted as a proof-of-concept demonstration using a fiber network containing three nodes and operating at telecomm wavelength. For an NxN matrix, the overall solving time (including setting time of the matrix elements and calculation time of inversion) scales as O(N(2)), whereas matrix inversion by most advanced computer algorithms requires ~O(N(2.37)) computational time. For well-conditioned matrices, the error of the inversion performed optically is found to be around 3%, limited by the accuracy of measurement equipment. |
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| AbstractList | With this paper we bring about a discussion on the computing potential of complex optical networks and provide experimental demonstration that an optical fiber network can be used as an analog processor to calculate matrix inversion. A 3x3 matrix is inverted as a proof-of-concept demonstration using a fiber network containing three nodes and operating at telecomm wavelength. For an NxN matrix, the overall solving time (including setting time of the matrix elements and calculation time of inversion) scales as O(N(2)), whereas matrix inversion by most advanced computer algorithms requires ~O(N(2.37)) computational time. For well-conditioned matrices, the error of the inversion performed optically is found to be around 3%, limited by the accuracy of measurement equipment.With this paper we bring about a discussion on the computing potential of complex optical networks and provide experimental demonstration that an optical fiber network can be used as an analog processor to calculate matrix inversion. A 3x3 matrix is inverted as a proof-of-concept demonstration using a fiber network containing three nodes and operating at telecomm wavelength. For an NxN matrix, the overall solving time (including setting time of the matrix elements and calculation time of inversion) scales as O(N(2)), whereas matrix inversion by most advanced computer algorithms requires ~O(N(2.37)) computational time. For well-conditioned matrices, the error of the inversion performed optically is found to be around 3%, limited by the accuracy of measurement equipment. With this paper we bring about a discussion on the computing potential of complex optical networks and provide experimental demonstration that an optical fiber network can be used as an analog processor to calculate matrix inversion. A 3x3 matrix is inverted as a proof-of-concept demonstration using a fiber network containing three nodes and operating at telecomm wavelength. For an NxN matrix, the overall solving time (including setting time of the matrix elements and calculation time of inversion) scales as O(N(2)), whereas matrix inversion by most advanced computer algorithms requires ~O(N(2.37)) computational time. For well-conditioned matrices, the error of the inversion performed optically is found to be around 3%, limited by the accuracy of measurement equipment. |
| Author | Shum, Perry Ping Wu, Kan Soci, Cesare Zheludev, Nikolay I. |
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| CitedBy_id | crossref_primary_10_1016_j_optlaseng_2024_108524 crossref_primary_10_1126_science_aaw2498 crossref_primary_10_1364_PRJ_468097 crossref_primary_10_1038_lsa_2015_65 crossref_primary_10_1002_admt_202000796 crossref_primary_10_1016_j_aeue_2021_153722 crossref_primary_10_1016_j_tcs_2018_08_015 crossref_primary_10_1038_s41377_022_00950_1 crossref_primary_10_1371_journal_pone_0209474 crossref_primary_10_1002_aisy_202200137 crossref_primary_10_1038_srep26283 crossref_primary_10_1038_s41598_023_40046_3 |
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| Title | Computing matrix inversion with optical networks |
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