{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T14:50:06Z","timestamp":1773586206469,"version":"3.50.1"},"reference-count":61,"publisher":"Wiley","issue":"10","license":[{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["advanced.onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Advanced Intelligent Systems"],"published-print":{"date-parts":[[2025,10]]},"abstract":"<jats:p>Matrix\u2010vector multiplications are a fundamental building block of artificial intelligence; this essential role has motivated their implementation in a variety of physical substrates, from memristor crossbar arrays to photonic\u2010integrated circuits. Yet their realization in soft\u2010matter intelligent systems remains elusive. Herein, A reprogrammable elastic metamaterial that computes matrix\u2010vector multiplications using floppy modes\u2014deformations with near\u2010zero stored elastic energy is experimentally demonstrated. Floppy modes allow to program complex deformations without being hindered by the natural stiffness of the material; but their practical application is challenging, as their existence depends on global topological properties of the system. To overcome this challenge, a continuously parameterized unit cell design with well\u2010defined compatibility characteristics is introduced. This unit cell is then combined to form arbitrary matrix\u2010vector multiplications that can even be reprogrammed after fabrication. The results demonstrate that floppy modes can act as key enablers for embodied intelligence, smart micro electro mechanical systems(MEMS) devices, and in\u2010sensor edge computing.<\/jats:p>","DOI":"10.1002\/aisy.202500062","type":"journal-article","created":{"date-parts":[[2025,4,2]],"date-time":"2025-04-02T04:56:20Z","timestamp":1743569780000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Reprogrammable, In\u2010Materia Matrix\u2010Vector Multiplication with Floppy Modes"],"prefix":"10.1002","volume":"7","author":[{"given":"Theophile","family":"Louvet","sequence":"first","affiliation":[{"name":"AMOLF  Amsterdam 1098XG The Netherlands"}]},{"given":"Parisa","family":"Omidvar","sequence":"additional","affiliation":[{"name":"AMOLF  Amsterdam 1098XG The Netherlands"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4136-253X","authenticated-orcid":false,"given":"Marc","family":"Serra\u2010Garcia","sequence":"additional","affiliation":[{"name":"AMOLF  Amsterdam 1098XG The Netherlands"}]}],"member":"311","published-online":{"date-parts":[[2025,4]]},"reference":[{"key":"e_1_2_11_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/566654.566592"},{"key":"e_1_2_11_3_1","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1997.9.7.1493"},{"key":"e_1_2_11_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/0893-6080(89)90020-8"},{"key":"e_1_2_11_5_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-022-04714-0"},{"key":"e_1_2_11_6_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-020-1942-4"},{"key":"e_1_2_11_7_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-021-03623-y"},{"key":"e_1_2_11_8_1","doi-asserted-by":"publisher","DOI":"10.1002\/adfm.202311877"},{"key":"e_1_2_11_9_1","doi-asserted-by":"publisher","DOI":"10.1038\/s44172-024-00193-5"},{"key":"e_1_2_11_10_1","doi-asserted-by":"publisher","DOI":"10.1126\/scirobotics.aar7555"},{"key":"e_1_2_11_11_1","doi-asserted-by":"publisher","DOI":"10.1038\/nature25443"},{"key":"e_1_2_11_12_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-017-00670-w"},{"key":"e_1_2_11_13_1","doi-asserted-by":"publisher","DOI":"10.1126\/science.aar6939"},{"key":"e_1_2_11_14_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-021-01498-4"},{"key":"e_1_2_11_15_1","doi-asserted-by":"publisher","DOI":"10.1126\/science.1144793"},{"key":"e_1_2_11_16_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.100.042202"},{"key":"e_1_2_11_17_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41563-024-02008-6"},{"key":"e_1_2_11_18_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-023-36975-2"},{"key":"e_1_2_11_19_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.132.068201"},{"key":"e_1_2_11_20_1","doi-asserted-by":"publisher","DOI":"10.1080\/14786446408643668"},{"key":"e_1_2_11_21_1","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7683(78)90052-5"},{"key":"e_1_2_11_22_1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys2835"},{"key":"e_1_2_11_23_1","doi-asserted-by":"publisher","DOI":"10.1038\/nature18960"},{"key":"e_1_2_11_24_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.2018610118"},{"key":"e_1_2_11_25_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevApplied.22.064013"},{"key":"e_1_2_11_26_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.129.198003"},{"key":"e_1_2_11_27_1","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/78\/7\/073901"},{"key":"e_1_2_11_28_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5096(02)00107-2"},{"key":"e_1_2_11_29_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7683(97)00062-0"},{"key":"e_1_2_11_30_1","doi-asserted-by":"publisher","DOI":"10.1016\/S1359-6454(97)00453-9"},{"key":"e_1_2_11_31_1","unstructured":"N. E.Glauvitz R. A.Coutu M.Kistler I. R.Medvedev D. T.Petkie inMEMS and Nanotechnology Volume 5: Proc. of the 2013 Annual Conf. on Experimental and Applied Mechanics Springer Lombard IL USA2014 June pp.73\u201379."},{"key":"e_1_2_11_32_1","doi-asserted-by":"crossref","first-page":"L061001","DOI":"10.1103\/PhysRevApplied.19.L061001","volume":"19","author":"Wu L.","year":"2023","journal-title":"Phys. Rev. Appl."},{"key":"e_1_2_11_33_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-024-47180-0"},{"key":"e_1_2_11_34_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-020-03123-5"},{"key":"e_1_2_11_35_1","doi-asserted-by":"publisher","DOI":"10.1115\/1.4049438"},{"key":"e_1_2_11_36_1","unstructured":"J.Salomon Master of Science School of Artificial Intelligence Division of Informatics University of Edinburgh2001."},{"key":"e_1_2_11_37_1","doi-asserted-by":"publisher","DOI":"10.1109\/JMEMS.2020.2978467"},{"key":"e_1_2_11_38_1","doi-asserted-by":"crossref","unstructured":"MEMS Optical Force Sensor Enhancement Via Compliant Mechanism inInt. Design Engineering Technical Conf. and Computers and Information in Engineering Conf. Vol. Volume 8: 31st Mechanisms and Robotics Conf. Parts A and B Las Vegas NV USA2007 September 2024 https:\/\/asmedigitalcollection.asme.org\/IDETC\u2010CIE\/proceedings\u2010pdf\/IDETC\u2010CIE2007\/48094\/127\/4548420\/127\\_1.pdf.","DOI":"10.1115\/DETC2007-35345"},{"key":"e_1_2_11_39_1","unstructured":"S.Ma H.Wang L.Ma L.Wang W.Wang S.Huang L.Dong R.Wang J.Xue F.Wei(Preprint) arXiv:2402.17764 Submitted: 2024."},{"key":"e_1_2_11_40_1","doi-asserted-by":"publisher","DOI":"10.1038\/natrevmats.2017.66"},{"key":"e_1_2_11_41_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-021-27825-0"},{"key":"e_1_2_11_42_1","doi-asserted-by":"publisher","DOI":"10.1002\/adma.200901956"},{"key":"e_1_2_11_43_1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys3185"},{"key":"e_1_2_11_44_1","doi-asserted-by":"publisher","DOI":"10.1126\/science.1252876"},{"key":"e_1_2_11_45_1","doi-asserted-by":"publisher","DOI":"10.1115\/1.4049953"},{"key":"e_1_2_11_46_1","doi-asserted-by":"publisher","DOI":"10.1002\/adma.201706311"},{"key":"e_1_2_11_47_1","doi-asserted-by":"publisher","DOI":"10.3389\/fmats.2024.1361408"},{"key":"e_1_2_11_48_1","doi-asserted-by":"publisher","DOI":"10.1126\/scirobotics.abq7278"},{"key":"e_1_2_11_49_1","doi-asserted-by":"publisher","DOI":"10.1002\/advs.202001384"},{"key":"e_1_2_11_50_1","doi-asserted-by":"publisher","DOI":"10.1063\/1.3162336"},{"key":"e_1_2_11_51_1","unstructured":"I. A.Baratta J. P.Dean J. S.Dokken M.Habera J. S.Hale C. N.Richardson M. E.Rognes M. W.Scroggs N.Sime G. N.Wells(Preprint) Submitted: 2023."},{"key":"e_1_2_11_52_1","doi-asserted-by":"publisher","DOI":"10.1186\/s11671-021-03481-7"},{"key":"e_1_2_11_53_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-10388-3"},{"key":"e_1_2_11_54_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1612139114"},{"key":"e_1_2_11_55_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1618314114"},{"key":"e_1_2_11_56_1","doi-asserted-by":"publisher","DOI":"10.1145\/37402.37416"},{"key":"e_1_2_11_57_1","doi-asserted-by":"publisher","DOI":"10.1145\/2566630"},{"key":"e_1_2_11_58_1","doi-asserted-by":"publisher","DOI":"10.21105\/joss.03982"},{"key":"e_1_2_11_59_1","doi-asserted-by":"publisher","DOI":"10.1145\/3524456"},{"key":"e_1_2_11_60_1","doi-asserted-by":"publisher","DOI":"10.2514\/3.2874"},{"key":"e_1_2_11_61_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00158-019-02281-z"},{"key":"e_1_2_11_62_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2021.108793"}],"container-title":["Advanced Intelligent Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/advanced.onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/aisy.202500062","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T10:39:38Z","timestamp":1764671978000},"score":1,"resource":{"primary":{"URL":"https:\/\/advanced.onlinelibrary.wiley.com\/doi\/10.1002\/aisy.202500062"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4]]},"references-count":61,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2025,10]]}},"alternative-id":["10.1002\/aisy.202500062"],"URL":"https:\/\/doi.org\/10.1002\/aisy.202500062","archive":["Portico"],"relation":{},"ISSN":["2640-4567","2640-4567"],"issn-type":[{"value":"2640-4567","type":"print"},{"value":"2640-4567","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,4]]},"assertion":[{"value":"2025-02-11","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-04-01","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"2500062"}}