{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T23:53:48Z","timestamp":1725753228292},"publisher-location":"Berlin, Heidelberg","reference-count":35,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642449574"},{"type":"electronic","value":"9783642449581"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-44958-1_20","type":"book-chapter","created":{"date-parts":[[2013,10,22]],"date-time":"2013-10-22T14:54:01Z","timestamp":1382453641000},"page":"261-272","source":"Crossref","is-referenced-by-count":0,"title":["MMLD Inference of Multilayer Perceptrons"],"prefix":"10.1007","author":[{"given":"Enes","family":"Makalic","sequence":"first","affiliation":[]},{"given":"Lloyd","family":"Allison","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"5","key":"20_CR1","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1016\/0893-6080(89)90020-8","volume":"2","author":"K. Hornik","year":"1989","unstructured":"Hornik, K., Stinchcombe, M., White, H.: Multilayer feedforward networks are universal approximators. Neural Networks\u00a02(5), 359\u2013366 (1989)","journal-title":"Neural Networks"},{"issue":"3","key":"20_CR2","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1007\/s005210050025","volume":"8","author":"H. Daniels","year":"1999","unstructured":"Daniels, H., Kamp, B.: Application of MLP networks to bond rating and house pricing. Neural Computing and Applications\u00a08(3), 226\u2013234 (1999)","journal-title":"Neural Computing and Applications"},{"key":"20_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"911","DOI":"10.1007\/3-540-44887-X_106","volume-title":"Audio-and Video-Based Biometrie Person Authentication","author":"F. Cardinaux","year":"2003","unstructured":"Cardinaux, F., Sanderson, C., Marcel, S.: Comparison of MLP and GMM classifiers for face verification on XM2VTS. In: Kittler, J., Nixon, M.S. (eds.) AVBPA 2003. LNCS, vol.\u00a02688, pp. 911\u2013920. Springer, Heidelberg (2003)"},{"key":"20_CR4","unstructured":"Duch, W., Adamczak, R., Grabczewski, K., Jankowski, N., Zal, G.: Medical diagnosis support using neural and machine learning methods. In: International Conference on Engineering Applications of Neural Networks (EANN 1998), Gibraltar, pp. 292\u2013295 (1998)"},{"issue":"5","key":"20_CR5","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1093\/comjnl\/bxm117","volume":"51","author":"D.L. Dowe","year":"2008","unstructured":"Dowe, D.L.: Foreword re C. S. Wallace. The Computer Journal\u00a051(5), 523\u2013560 (2008)","journal-title":"The Computer Journal"},{"key":"20_CR6","unstructured":"Fitzgibbon, L.J., Dowe, D.L., Allison, L.: Univariate polynomial inference by Monte Carlo message length approximation. In: Proceedings of the Nineteenth International Conference on Machine Learning (ICML 2002), pp. 147\u2013154 (2002)"},{"key":"20_CR7","unstructured":"Wallace, C.S.: Statistical and Inductive Inference by Minimum Message Length, 1st edn. Information Science and Statistics. Springer (2005)"},{"issue":"2","key":"20_CR8","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1093\/comjnl\/11.2.185","volume":"11","author":"C.S. Wallace","year":"1968","unstructured":"Wallace, C.S., Boulton, D.M.: An information measure for classification. Computer Journal\u00a011(2), 185\u2013194 (1968)","journal-title":"Computer Journal"},{"issue":"3","key":"20_CR9","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1111\/j.2517-6161.1987.tb01695.x","volume":"49","author":"C.S. Wallace","year":"1987","unstructured":"Wallace, C.S., Freeman, P.R.: Estimation and inference by compact coding. Journal of the Royal Statistical Society (Series B)\u00a049(3), 240\u2013252 (1987)","journal-title":"Journal of the Royal Statistical Society (Series B)"},{"issue":"2","key":"20_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0019-9958(64)90223-2","volume":"7","author":"R.J. Solomonoff","year":"1964","unstructured":"Solomonoff, R.J.: A formal theory of inductive inference. Information and Control\u00a07(2), 1\u201322, 224\u2013254 (1964)","journal-title":"Information and Control"},{"issue":"1","key":"20_CR11","first-page":"1","volume":"1","author":"A.N. Kolmogorov","year":"1965","unstructured":"Kolmogorov, A.N.: Three approaches to the quantitative definition of information. Problems of Information Transmission\u00a01(1), 1\u20137 (1965)","journal-title":"Problems of Information Transmission"},{"issue":"3","key":"20_CR12","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1145\/321892.321894","volume":"22","author":"G.J. Chaitin","year":"1975","unstructured":"Chaitin, G.J.: A theory of program size formally identical to information theory. Journal of the Association for Computing Machinery\u00a022(3), 329\u2013340 (1975)","journal-title":"Journal of the Association for Computing Machinery"},{"issue":"1","key":"20_CR13","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1111\/j.2517-6161.1992.tb01874.x","volume":"54","author":"C.S. Wallace","year":"1992","unstructured":"Wallace, C.S., Freeman, P.R.: Single-factor analysis by minimum message length estimation. Journal of the Royal Statistical Society (Series B)\u00a054(1), 195\u2013209 (1992)","journal-title":"Journal of the Royal Statistical Society (Series B)"},{"key":"20_CR14","unstructured":"Wallace, C., Dowe, D.L.: MML mixture modelling of multi-state, Poisson, von Mises circular and Gaussian distributions. In: Proceedings of the 6th International Workshop on Artificial Intelligence and Statistics, Ft. Lauderdale, Florida, U.S.A, pp. 529\u2013536 (1997)"},{"issue":"5","key":"20_CR15","doi-asserted-by":"publisher","first-page":"871","DOI":"10.1016\/0893-6080(95)00119-0","volume":"9","author":"K. Fukumizu","year":"1996","unstructured":"Fukumizu, K.: A regularity condition of the information matrix of a multilayer perceptron network. Neural Networks\u00a09(5), 871\u2013879 (1996)","journal-title":"Neural Networks"},{"key":"20_CR16","unstructured":"Makalic, E.: Minimum Message Length Inference of Artificial Neural Networks. PhD thesis, Clayton School of Information Technology, Monash University (2007)"},{"issue":"2","key":"20_CR17","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1109\/TIT.1982.1056490","volume":"28","author":"P. Zador","year":"1982","unstructured":"Zador, P.: Asymptotic quantization error of continuous signals and the quantization dimension. IEEE Transactions on Information Theory\u00a028(2), 139\u2013149 (1982)","journal-title":"IEEE Transactions on Information Theory"},{"key":"20_CR18","unstructured":"Stroud, A.H.: Approximate calculation of multiple integrals. Prentice-Hall (1971)"},{"key":"20_CR19","unstructured":"Petersen, W.P., Bernasconi, A.: Uniform sampling from an n-sphere: Isotropic method. Technical Report TR-97-06, Swiss Center for Scientific Computing, Z\u00fcrich, Switzerland (1997)"},{"key":"20_CR20","unstructured":"Fitzgibbon, L.J., Dowe, D.L., Allison, L.: Bayesian posterior comprehension via message from Monte Carlo. In: Proc. 2nd Hawaii International Conference on Statistics and Related Fields. Springer (June 2003)"},{"key":"20_CR21","doi-asserted-by":"crossref","unstructured":"Neal, R.M.: Bayesian learning for neural networks. Lecture Notes in Statistics. Springer (August 1996)","DOI":"10.1007\/978-1-4612-0745-0"},{"issue":"1","key":"20_CR22","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1214\/aoms\/1177729694","volume":"22","author":"S. Kullback","year":"1951","unstructured":"Kullback, S., Leibler, R.A.: On information and sufficiency. Annals of Mathematical Statistics\u00a022(1), 79\u201386 (1951)","journal-title":"Annals of Mathematical Statistics"},{"key":"20_CR23","doi-asserted-by":"crossref","unstructured":"Scarpetta, S., Rattray, M., Saad, D.: Natural gradient matrix momentum. In: Ninth International Conference on Artificial Neural Networks (ICANN 1999), pp. 43\u201348 (1999)","DOI":"10.1049\/cp:19991082"},{"issue":"1","key":"20_CR24","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1162\/neco.1994.6.1.147","volume":"6","author":"B.A. Pearlmutter","year":"1994","unstructured":"Pearlmutter, B.A.: Fast exact multiplication by the hessian. Neural Computation\u00a06(1), 147\u2013160 (1994)","journal-title":"Neural Computation"},{"issue":"5","key":"20_CR25","doi-asserted-by":"publisher","first-page":"1035","DOI":"10.1162\/089976699300016331","volume":"11","author":"D.J.C. MacKay","year":"1999","unstructured":"MacKay, D.J.C.: Comparison of approximate methods for handling hyperparameters. Neural Computation\u00a011(5), 1035\u20131068 (1999)","journal-title":"Neural Computation"},{"issue":"9","key":"20_CR26","doi-asserted-by":"publisher","first-page":"1155","DOI":"10.1016\/j.spl.2008.12.021","volume":"79","author":"E. Makalic","year":"2009","unstructured":"Makalic, E., Schmidt, D.F.: Minimum message length shrinkage estimation. Statistics & Probability Letters\u00a079(9), 1155\u20131161 (2009)","journal-title":"Statistics & Probability Letters"},{"issue":"2","key":"20_CR27","first-page":"537","volume":"64","author":"A. Lendasse","year":"2005","unstructured":"Lendasse, A., Simon, G., Wertz, V., Verleysen, M.: Fast bootstrap methodology for regression model selection. Neurocomputing\u00a064(2), 537\u2013541 (2005)","journal-title":"Neurocomputing"},{"issue":"8","key":"20_CR28","doi-asserted-by":"publisher","first-page":"962","DOI":"10.1109\/81.780377","volume":"56","author":"C. Alippi","year":"1999","unstructured":"Alippi, C.: FPE-based criteria to dimension feedforward neural topologies. IEEE Transactions on Circuits and Systems \u2013 I: Fundamental Theory and Applications\u00a056(8), 962\u2013973 (1999)","journal-title":"IEEE Transactions on Circuits and Systems \u2013 I: Fundamental Theory and Applications"},{"issue":"1","key":"20_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1214\/aos\/1176347963","volume":"19","author":"J.H. Friedman","year":"1991","unstructured":"Friedman, J.H.: Multivariate adaptive regression splines. The Annals of Statistics\u00a019(1), 1\u201367 (1991)","journal-title":"The Annals of Statistics"},{"issue":"6","key":"20_CR30","doi-asserted-by":"publisher","first-page":"716","DOI":"10.1109\/TAC.1974.1100705","volume":"19","author":"H. Akaike","year":"1974","unstructured":"Akaike, H.: A new look at the statistical model identification. IEEE Transactions on Automatic Control\u00a019(6), 716\u2013723 (1974)","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"3","key":"20_CR31","doi-asserted-by":"publisher","first-page":"1077","DOI":"10.2307\/2533006","volume":"51","author":"C.M. Hurvich","year":"1995","unstructured":"Hurvich, C.M., Tsai, C.L.: Model selection for extended quasi-likelihood models in small samples. Biometrics\u00a051(3), 1077\u20131084 (1995)","journal-title":"Biometrics"},{"issue":"2","key":"20_CR32","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1214\/aos\/1176344136","volume":"6","author":"G. Schwarz","year":"1978","unstructured":"Schwarz, G.: Estimating the dimension of a model. The Annals of Statistics\u00a06(2), 461\u2013464 (1978)","journal-title":"The Annals of Statistics"},{"issue":"6","key":"20_CR33","doi-asserted-by":"crossref","first-page":"066701","DOI":"10.1103\/PhysRevE.66.066701","volume":"66","author":"M. Small","year":"2002","unstructured":"Small, M., Tse, C.K.: Minimum description length neural networks for time series prediction. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)\u00a066(6), 066701 (2002)","journal-title":"Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)"},{"issue":"6","key":"20_CR34","doi-asserted-by":"publisher","first-page":"865","DOI":"10.1109\/72.329683","volume":"5","author":"N. Murata","year":"1994","unstructured":"Murata, N., Yoshizawa, S., Ichi Amari, S.: Network information criterion-determining the number of hidden units for an artificial neural network model. IEEE Transactions on Neural Networks\u00a05(6), 865\u2013872 (1994)","journal-title":"IEEE Transactions on Neural Networks"},{"issue":"2","key":"20_CR35","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1109\/TR.1981.5221010","volume":"2","author":"W. Nelson","year":"1981","unstructured":"Nelson, W.: Analysis of performance-degradation data. IEEE Transactions on Reliability\u00a02(2), 149\u2013155 (1981)","journal-title":"IEEE Transactions on Reliability"}],"container-title":["Lecture Notes in Computer Science","Algorithmic Probability and Friends. Bayesian Prediction and Artificial Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-44958-1_20","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,18]],"date-time":"2024-05-18T20:43:10Z","timestamp":1716064990000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-44958-1_20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642449574","9783642449581"],"references-count":35,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-44958-1_20","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}