{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T21:53:52Z","timestamp":1743026032531,"version":"3.40.3"},"publisher-location":"Cham","reference-count":39,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031606373"},{"type":"electronic","value":"9783031606380"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-60638-0_32","type":"book-chapter","created":{"date-parts":[[2024,5,22]],"date-time":"2024-05-22T17:01:43Z","timestamp":1716397303000},"page":"393-404","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Bits and\u00a0Beats: Computing Rhythmic Information as\u00a0Bitwise Operations Optimized for\u00a0Machine Learning"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5895-4657","authenticated-orcid":false,"given":"Fernando","family":"Gualda","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,5,23]]},"reference":[{"key":"32_CR1","volume-title":"Microsound","author":"C Roads","year":"2001","unstructured":"Roads, C.: Microsound. MIT Press, Cambridge (2001)"},{"key":"32_CR2","doi-asserted-by":"publisher","first-page":"2546","DOI":"10.1121\/1.404425","volume":"92","author":"BH Repp","year":"1992","unstructured":"Repp, B.H.: Diversity and commonality in music performance: an analysis of timing microstructure in Schumann\u2019s \u201cTr\u00e4umerei.\u2019\u2019. J. Acoust. Soc. Am. 92, 2546\u20132568 (1992)","journal-title":"J. Acoust. Soc. Am."},{"issue":"3","key":"32_CR3","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1068\/p3370","volume":"32","author":"P Desain","year":"2003","unstructured":"Desain, P., Honing, H.: The formation of rhythmic categories and metric priming. Perception 32(3), 341\u2013365 (2003)","journal-title":"Perception"},{"key":"32_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8141-8","volume-title":"The Topos of Music: Geometric Logic of Concepts, Theory, and Performance","author":"G Mazzola","year":"2002","unstructured":"Mazzola, G.: The Topos of Music: Geometric Logic of Concepts, Theory, and Performance. Springer, Basel (2002)"},{"key":"32_CR5","volume-title":"A Generative Theory of Tonal Music","author":"F Lerdahl","year":"1983","unstructured":"Lerdahl, F., Jackendoff, R.: A Generative Theory of Tonal Music. MIT Press, Cambridge (1983)"},{"key":"32_CR6","unstructured":"Bosworth, W. T.: Accentual counterpoint and metrical narrative in the music of Brahms. PhD Dissertation. University of Cambridge (2017)"},{"key":"32_CR7","volume-title":"Experiencing Rhythm: Contemporary Malagasy Music and Identity","author":"J Fuhr","year":"2013","unstructured":"Fuhr, J.: Experiencing Rhythm: Contemporary Malagasy Music and Identity. Cambridge Scholars Publishing, Newcastle (2013)"},{"key":"32_CR8","volume-title":"African Rhythm: A Northern Ewe Perspective","author":"K Agawu","year":"1995","unstructured":"Agawu, K.: African Rhythm: A Northern Ewe Perspective. Cambridge University Press, Cambridge (1995)"},{"key":"32_CR9","unstructured":"Marchand, U., Peeters, G.: Swing ratio estimation. Digital Audio Effects 2015 (DAFx15), Trondheim, Norway (2015)"},{"key":"32_CR10","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1038\/s42005-022-00995-z","volume":"5","author":"C Nelias","year":"2022","unstructured":"Nelias, C., Sturm, E.M., Albrecht, T., et al.: Downbeat delays are a key component of swing in jazz. Commun. Phys. 5, 237 (2022)","journal-title":"Commun. Phys."},{"key":"32_CR11","unstructured":"Mendes, J.J.F., Gualda, F.: Identifica\u00e7\u00e3o e Registro de Estruturas Sonoras da Viola Machete do Rec\u00f4ncavo Baiano. In: Proceedings of the Brazilian Association of Ethnomusicology, Macei\u00f3 - Brazil (2008)"},{"key":"32_CR12","volume-title":"The Geometry of Musical Rhythm","author":"GT Toussaint","year":"2020","unstructured":"Toussaint, G.T.: The Geometry of Musical Rhythm. CRC Press, Boca Raton (2020)"},{"issue":"2","key":"32_CR13","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1080\/17459737.2022.2025625","volume":"16","author":"F G\u00f3mez-Mart\u00edn","year":"2022","unstructured":"G\u00f3mez-Mart\u00edn, F.: A review of Godfried Toussaint\u2019s the geometry of musical rhythm. J. Math. Music 16(2), 239\u2013247 (2022)","journal-title":"J. Math. Music"},{"issue":"2","key":"32_CR14","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1080\/17459737.2022.2088875","volume":"16","author":"J Yust","year":"2022","unstructured":"Yust, J., White, C.W., VanHandel, L.: Rhythm, mathematics, and Godfried Toussaint. J. Math. Music 16(2), 133\u2013137 (2022)","journal-title":"J. Math. Music"},{"key":"32_CR15","volume-title":"The Cognition of Basic Musical Structures","author":"D Temperley","year":"2001","unstructured":"Temperley, D.: The Cognition of Basic Musical Structures. MIT Press, Cambridge (2001)"},{"key":"32_CR16","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1111\/j.1749-6632.2001.tb05723.x","volume":"930","author":"I Cross","year":"2001","unstructured":"Cross, I.: Music, cognition, culture, and evolution. An. N. Y. Acad. Sci. 930, 28\u201342 (2001)","journal-title":"An. N. Y. Acad. Sci."},{"key":"32_CR17","volume-title":"Current Research in Systematic Musicology","author":"DJ Hermes","year":"2023","unstructured":"Hermes, D.J.: The perceptual structure of sound. In: Bader, R., Leman, M., Godoy, R.I. (eds.) Current Research in Systematic Musicology, vol. 11. Springer, Cham (2023)"},{"key":"32_CR18","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/1486.001.0001","volume-title":"Auditory Scene Analysis: The Perceptual Organization of Sound","author":"AS Bregman","year":"1990","unstructured":"Bregman, A.S.: Auditory Scene Analysis: The Perceptual Organization of Sound. MIT Press, Cambridge (1990)"},{"key":"32_CR19","volume-title":"Musical Structure and Cognition","author":"P Howell","year":"1985","unstructured":"Howell, P., Cross, I., West, R.: Musical Structure and Cognition. Academic Press, London (1985)"},{"key":"32_CR20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-85213-8","volume-title":"Music and Schema Theory: Cognitive Foundations of Systematic Musicology","author":"M Leman","year":"1995","unstructured":"Leman, M.: Music and Schema Theory: Cognitive Foundations of Systematic Musicology. Springer Verlag, Heidelberg (1995)"},{"key":"32_CR21","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780195160819.001.0001","volume-title":"Hearing in Time: Psychological Aspects of Musical Meter","author":"J London","year":"2004","unstructured":"London, J.: Hearing in Time: Psychological Aspects of Musical Meter. Oxford University Press, New York (2004)"},{"key":"32_CR22","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-55004-5","volume-title":"Springer Handbook of Systematic Musicology","author":"R Bader","year":"2018","unstructured":"Bader, R.: Springer Handbook of Systematic Musicology. Springer, Cham (2018)"},{"key":"32_CR23","doi-asserted-by":"publisher","first-page":"653696","DOI":"10.3389\/fpsyg.2022.653696","volume":"13","author":"T Parker","year":"2022","unstructured":"Parker, T., Chul, K.J., Large, E.W.: A dynamical, radically embodied, and ecological theory of rhythm development. Front. Psychol. 13, 653696 (2022)","journal-title":"Front. Psychol."},{"key":"32_CR24","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/6575.001.0001","volume-title":"Sweet Anticipation: Music and the Psychology of Expectation","author":"D Huron","year":"2006","unstructured":"Huron, D.: Sweet Anticipation: Music and the Psychology of Expectation. MIT Press, Cambridge (2006)"},{"key":"32_CR25","doi-asserted-by":"publisher","first-page":"196169","DOI":"10.3389\/fpsyg.2016.01575","volume":"7","author":"J Forth","year":"2016","unstructured":"Forth, J., Agres, K., Purver, M., Wiggins, G.A.: Entraining IDyOT: timing in the information dynamics of thinking. Front. Psychol. 7, 196169 (2016)","journal-title":"Front. Psychol."},{"issue":"1","key":"32_CR26","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1080\/17459737.2013.850597","volume":"8","author":"WA Sethares","year":"2014","unstructured":"Sethares, W.A., Budney, R.: Topology of musical data. J. Math. Music 8(1), 73\u201392 (2014)","journal-title":"J. Math. Music"},{"key":"32_CR27","doi-asserted-by":"publisher","first-page":"507","DOI":"10.1007\/978-3-662-55004-5_27","volume-title":"Springer Handbook of Systematic Musicology","author":"T Nguyen","year":"2018","unstructured":"Nguyen, T., Gibbings, A., Grahn, J.: Rhythm and Beat Perception. In: Bader, R. (ed.) Springer Handbook of Systematic Musicology, pp. 507\u2013522. Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-662-55004-5_27"},{"key":"32_CR28","doi-asserted-by":"crossref","unstructured":"Friberg, A., Sundberg, J.: Time discrimination in a monotonic, isochronous sequence. J. Acoust. Soc. Am. 98 (5, Pt 1), 2524-2531 (1995)","DOI":"10.1121\/1.413218"},{"key":"32_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1207\/s15516709cog2601_1","volume":"26","author":"EW Large","year":"2002","unstructured":"Large, E.W., Palmer, C.: Perceiving temporal regularity in music. Cogn. Sci. 26, 1\u201337 (2002)","journal-title":"Cogn. Sci."},{"issue":"1","key":"32_CR30","doi-asserted-by":"publisher","first-page":"B35","DOI":"10.1016\/S0010-0277(02)00187-7","volume":"87","author":"AD Patel","year":"2003","unstructured":"Patel, A.D., Daniele, J.: An empirical comparison of rhythm in language and music. Cognition 87(1), B35-45 (2003)","journal-title":"Cognition"},{"issue":"3","key":"32_CR31","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1525\/mp.2019.36.3.300","volume":"36","author":"N Condit-Schultz","year":"2019","unstructured":"Condit-Schultz, N.: Deconstructing the nPVI: a methodological critique of the normalized pairwise variability index as applied to music. Music. Percept. 36(3), 300\u2013313 (2019)","journal-title":"Music. Percept."},{"issue":"2","key":"32_CR32","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1525\/mp.2015.33.2.255","volume":"33","author":"JR Daniele","year":"2015","unstructured":"Daniele, J.R., Patel, A.D.: Stability and change in rhythmic patterning across a composer\u2019s lifetime: a study of four famous composers using the nPVI equation. Music. Percept. 33(2), 255\u2013265 (2015)","journal-title":"Music. Percept."},{"issue":"5","key":"32_CR33","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1525\/mp.2017.34.5.557","volume":"34","author":"A Ravignani","year":"2017","unstructured":"Ravignani, A.: Visualizing and interpreting rhythmic patterns using phase space plots. Music. Percept. 34(5), 557\u2013568 (2017)","journal-title":"Music. Percept."},{"key":"32_CR34","unstructured":"Courbariaux, M., Hubara, I. Soundry, D., El-Yaniv, R.: Binarized neural networks: training deep neural networks with weights and activations constrained to +1 or -1. arXiv preprint: arXiv:1602.02830 (2016)"},{"key":"32_CR35","doi-asserted-by":"publisher","first-page":"12949","DOI":"10.1007\/s10462-023-10464-w","volume":"56","author":"C Yuan","year":"2023","unstructured":"Yuan, C., Agaian, S.S.: A comprehensive review of binary neural network. Artif. Intell. Rev. 56, 12949\u201313013 (2023)","journal-title":"Artif. Intell. Rev."},{"key":"32_CR36","doi-asserted-by":"publisher","first-page":"27546","DOI":"10.1109\/ACCESS.2023.3258360","volume":"11","author":"R Sayed","year":"2023","unstructured":"Sayed, R., Azmi, H., Shawkey, H., Khalil, A.H., Refky, M.: A systematic literature review on binary neural networks. IEEE Access 11, 27546\u201327578 (2023)","journal-title":"IEEE Access"},{"key":"32_CR37","volume-title":"Mathematics for Machine Learning","author":"MP Deisenroth","year":"2023","unstructured":"Deisenroth, M.P., Faisal, A.A., Ong, C.S.: Mathematics for Machine Learning. Cambridge University Press, Cambridge (2023)"},{"key":"32_CR38","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1016\/j.neunet.2021.01.026","volume":"138","author":"A Apicella","year":"2021","unstructured":"Apicella, A., Donnarumma, F., Isgr\u00f2, F., Prevete, R.: A survey on modern trainable activation functions. Neural Netw. 138, 14\u201332 (2021)","journal-title":"Neural Netw."},{"key":"32_CR39","doi-asserted-by":"crossref","unstructured":"Ding, B., Qian, H., Zhou, J.: Activation functions and their characteristics in deep neural networks. In: CCDC 2018, Shenyang, pp. 1836-1841 (2018)","DOI":"10.1109\/CCDC.2018.8407425"}],"container-title":["Lecture Notes in Computer Science","Mathematics and Computation in Music"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-60638-0_32","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,22]],"date-time":"2024-05-22T17:04:49Z","timestamp":1716397489000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-60638-0_32"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031606373","9783031606380"],"references-count":39,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-60638-0_32","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"23 May 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"MCM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Mathematics and Computation in Music","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Coimbra","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Portugal","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"18 June 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 June 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"mcm22024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.uc.pt\/ceis20\/mcm24\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}