{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,15]],"date-time":"2024-09-15T13:32:47Z","timestamp":1726407167846},"publisher-location":"Berlin, Heidelberg","reference-count":17,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540420712"},{"type":"electronic","value":"9783540449904"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2001]]},"DOI":"10.1007\/3-540-44990-6_14","type":"book-chapter","created":{"date-parts":[[2007,8,28]],"date-time":"2007-08-28T10:20:43Z","timestamp":1188296443000},"page":"184-199","source":"Crossref","is-referenced-by-count":0,"title":["A Note on Modeling Connectionist Network Structures: Geometric and Categorical Aspects"],"prefix":"10.1007","author":[{"given":"Jochen","family":"Pfalzgraf","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2001,5,11]]},"reference":[{"key":"14_CR1","unstructured":"[AHS90] J. Ad\u00e1mek, H. Herrlich, and G.E. Strecker. Abstract and Concrete Categories. John Wiley & Sons, 1990."},{"issue":"1","key":"14_CR2","first-page":"1","volume":"2","author":"A. J. Andr\u00e9","year":"1988","unstructured":"[And88] J. Andr\u00e9. Endliche nichtkommutative Geometrie. Annales Univ. Saraviensis. Ser. Math., 2(1):1\u2013136, 1988.","journal-title":"Annales Univ. Saraviensis. Ser. Math."},{"key":"14_CR3","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1007\/BF01245939","volume":"43","author":"A. J. Andr\u00e9","year":"1992","unstructured":"[And92] J. Andr\u00e9. Configurational conditions and digraphs. Journal of Geometry, 43:22\u201329, 1992.","journal-title":"Journal of Geometry"},{"issue":"2","key":"14_CR4","first-page":"93","volume":"4","author":"A. J. Andr\u00e9","year":"1993","unstructured":"[And93] J. Andr\u00e9. On non-commutative geometry. Annales Univ. Saraviensis. Ser. Math., 4(2):93\u2013129, 1993.","journal-title":"Annales Univ. Saraviensis. Ser. Math."},{"key":"14_CR5","unstructured":"[Eck90] R. Eckmiller. Concerning the emerging role of geometry in neuroinformatics. In Parallel Processing in Neural Systems and Computers. R.Eckmiller, G.Hartmann, G.Hauske (Eds.), North-Holland, 1990."},{"key":"14_CR6","unstructured":"[Gei94] H. Geiger. Optical quality control with selflearning systems using a combination of algorithmic and neural network approaches. Proceedings of the Second European Congress on Intelligent Techniques and Soft Computing, EUFIT'94, Aachen, September 20-23, 1994."},{"key":"14_CR7","unstructured":"[GP] H. Geiger and J. Pfalzgraf. Modeling a connectionist network paradigm: Geometric and categorical perspectives. In preparation."},{"key":"14_CR8","unstructured":"[GP95] H. Geiger and J. Pfalzgraf. Quality control connectionist networks supported by a mathematical model. In Proceedings of the International Conference on Engineering Applications of Artificial Neural Networks (EANN'95), 21-23 August 1995, Helsinki. A.B.Bulsari, S.Kallio(Editors), Finnish AI Society, 1995.[Lan98] S. Mac Lane. Categories for the Working Mathematician. Springer Verlag, Graduate Texts in Mathematics 5, 2nd ed., 1998."},{"key":"14_CR9","volume-title":"Conceptual Mathematics: A First Introduction to Categories","author":"F.W. Lawvere","year":"1996","unstructured":"[LS96] F.W.Lawvere and S.H. Schanuel. Conceptual Mathematics: A First Introduction to Categories. Cambridge University Press, 1996."},{"key":"14_CR10","doi-asserted-by":"crossref","unstructured":"[NKK94] D. Nauck, F. Klawonn, and R. Kruse. Neuronale Netze und Fuzzy-Systeme. Vieweg Verlag, 1994.","DOI":"10.1007\/978-3-322-85993-8"},{"key":"14_CR11","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/BF01220477","volume":"25","author":"P. J. Pfalzgraf","year":"1985","unstructured":"[Pfa85] J. Pfalzgraf. On a model for noncommutative geometric spaces. Journal of Geometry, 25:147\u2013163, 1985.","journal-title":"Journal of Geometry"},{"key":"14_CR12","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1007\/BF01200477","volume":"49","author":"P. J. Pfalzgraf","year":"1987","unstructured":"[Pfa87] J. Pfalzgraf. A note on simplices as geometric configurations. Archiv der Mathematik, 49:134\u2013140, 1987.","journal-title":"Archiv der Mathematik"},{"key":"14_CR13","doi-asserted-by":"crossref","unstructured":"[Pfa94] J. Pfalzgraf. On a general notion of a hull. In Automated Practical Reasoning, J. Pfalzgraf and D. Wang(nteds.). Texts and Monographs in Symbolic Computation, Springer Verlag Wien, New York, 1994.","DOI":"10.1007\/978-3-7091-6604-8"},{"key":"14_CR14","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1007\/BF01224046","volume":"53","author":"P. J. Pfalzgraf","year":"1995","unstructured":"[Pfa95] J. Pfalzgraf. Graph products of groups and group spaces. J. of Geometry, 53:131\u2013147, 1995.","journal-title":"J. of Geometry"},{"issue":"7","key":"14_CR15","first-page":"847","volume":"43","author":"P. J. Pfalzgraf","year":"1998","unstructured":"[Pfa98] J. Pfalzgraf. On a category of geometric spaces and geometries induced by group actions. Ukrainian Jour. Physics, 43,7:847\u2013856, 1998.","journal-title":"Ukrainian Jour. Physics"},{"key":"14_CR16","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/1524.001.0001","volume-title":"Basic Category Theory for Computer Scientists","author":"P. B.C. Pierce","year":"1991","unstructured":"[Pie91] B.C. Pierce. Basic Category Theory for Computer Scientists. The MIT Press, Cambridge, Massachusetts, 1991."},{"key":"14_CR17","doi-asserted-by":"crossref","unstructured":"[Roj93] R. Rojas. Theorie der neuronalen Netze. Springer Verlag, 1993. Springer-Lehrbuch.","DOI":"10.1007\/978-3-642-61231-2"}],"container-title":["Lecture Notes in Computer Science","Artificial Intelligence and Symbolic Computation"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-44990-6_14","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T13:07:49Z","timestamp":1556802469000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-44990-6_14"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001]]},"ISBN":["9783540420712","9783540449904"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/3-540-44990-6_14","relation":{},"ISSN":["0302-9743"],"issn-type":[{"type":"print","value":"0302-9743"}],"subject":[],"published":{"date-parts":[[2001]]}}}