{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,6]],"date-time":"2026-06-06T22:09:30Z","timestamp":1780783770023,"version":"3.54.1"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2012,12,8]],"date-time":"2012-12-08T00:00:00Z","timestamp":1354924800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2014,2]]},"DOI":"10.1007\/s00180-012-0385-2","type":"journal-article","created":{"date-parts":[[2012,12,7]],"date-time":"2012-12-07T05:36:23Z","timestamp":1354858583000},"page":"97-115","source":"Crossref","is-referenced-by-count":11,"title":["Inferring Boolean functions via higher-order correlations"],"prefix":"10.1007","volume":"29","author":[{"given":"Markus","family":"Maucher","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"David V.","family":"Kracht","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Steffen","family":"Schober","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Martin","family":"Bossert","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hans A.","family":"Kestler","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2012,12,8]]},"reference":[{"key":"385_CR1","unstructured":"Akutsu T, Miyano S, Kuhara S (1999) Identification of genetic networks from a small number of gene expression patterns under the boolean network model. Pac Symp Biocomput 4:17\u201328"},{"issue":"1","key":"385_CR2","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1016\/j.tcs.2007.05.014","volume":"384","author":"J Arpe","year":"2007","unstructured":"Arpe J, Reischuk R (2007) Learning juntas in the presence of noise. Theor Comput Sci 384(1):2\u201321","journal-title":"Theor Comput Sci"},{"key":"385_CR3","unstructured":"Bahadur RR (1961) A representation of the joint distribution of responses to n dichotomous items. In: Solomon H (ed) Studies on item analysis and prediction, Stanford University Press, Stanford, no. 6 in Stanford mathematical, studies in the social sciences, pp 158\u2013176"},{"key":"385_CR4","doi-asserted-by":"crossref","unstructured":"Bornholdt S (2005) Systems biology: less is more in modeling large genetic networks. Science 21(310): 449\u2013451","DOI":"10.1126\/science.1119959"},{"issue":"4","key":"385_CR5","doi-asserted-by":"crossref","first-page":"747","DOI":"10.1145\/234533.234564","volume":"43","author":"N Bshouty","year":"1996","unstructured":"Bshouty N, Tamon C (1996) On the fourier spectrum of monotone functions. J ACM (JACM) 43(4):747\u2013770","journal-title":"J ACM (JACM)"},{"issue":"6987","key":"385_CR6","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1038\/nature02456","volume":"429","author":"M Covert","year":"2004","unstructured":"Covert M, Knight E, Reed J, Herrgard M, Palsson B (2004) Integrating high-throughput and computational data elucidates bacterial networks. Nature 429(6987):92\u201396","journal-title":"Nature"},{"key":"385_CR7","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1016\/j.patrec.2005.10.010","volume":"27","author":"T Fawcett","year":"2006","unstructured":"Fawcett T (2006) An introduction to ROC analysis. Pattern Recognit Lett 27:861\u2013874","journal-title":"Pattern Recognit Lett"},{"issue":"1","key":"385_CR8","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1007\/BF01305949","volume":"14","author":"C Gotsman","year":"1994","unstructured":"Gotsman C, Linial N (1994) Spectral properties of threshold functions. Combinatorica 14(1):35\u201350","journal-title":"Combinatorica"},{"issue":"4","key":"385_CR9","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1002\/cplx.10022","volume":"7","author":"SE Harris","year":"2002","unstructured":"Harris SE, Sawhill BK, Wuensche A, Kauffman S (2002) A model of transcriptional regulatory networks based on biases in the observed regulation rules. Complexity 7(4):23\u201340","journal-title":"Complexity"},{"key":"385_CR10","doi-asserted-by":"crossref","unstructured":"Kahn J, Kalai G, Linial N (1988) The influence of variables on boolean functions. In: Proceedings of the 29th annual symposium on foundations of computer science. IEEE Computer Society, Los Alamitos, pp 68\u201380","DOI":"10.1109\/SFCS.1988.21923"},{"issue":"3","key":"385_CR11","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1016\/0022-5193(69)90015-0","volume":"22","author":"S Kauffman","year":"1969","unstructured":"Kauffman S (1969) Metabolic stability and epigenesis in randomly constructed genetic nets. J Theor Biol 22(3):437\u2013467","journal-title":"J Theor Biol"},{"issue":"49","key":"385_CR12","doi-asserted-by":"crossref","first-page":"17102","DOI":"10.1073\/pnas.0407783101","volume":"101","author":"S Kauffman","year":"2004","unstructured":"Kauffman S, Peterson C, Samuelsson B, Troein C (2004) Genetic networks with canalyzing Boolean rules are always stable. PNAS 101(49):17102\u201317107","journal-title":"PNAS"},{"key":"385_CR13","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/s00180-011-0243-7","volume":"26","author":"HA Kestler","year":"2011","unstructured":"Kestler HA, Lausser L, Lindner W, Palm G (2011) On the fusion of threshold classifiers for categorization and dimensionality reduction. Computational Statistics 26:321\u2013340","journal-title":"Computational Statistics"},{"key":"385_CR14","doi-asserted-by":"crossref","unstructured":"Kim H, Lee JK, Park T (2007) Boolean networks using the chi-square test for inferring large-scale gene regulatory networks. BMC Bioinformatics 8(37)","DOI":"10.1186\/1471-2105-8-37"},{"issue":"1\u20132","key":"385_CR15","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1023\/A:1023905711304","volume":"52","author":"H L\u00e4hdesm\u00e4ki","year":"2003","unstructured":"L\u00e4hdesm\u00e4ki H, Shmulevich I, Yli-Harja O (2003) On learning gene regulatory networks under the boolean network model. Mach Learn 52(1\u20132):147\u2013167","journal-title":"Mach Learn"},{"key":"385_CR16","first-page":"18","volume":"3","author":"S Liang","year":"1998","unstructured":"Liang S, Fuhrman S, Somogyi R (1998) Reveal, a general reverse engineering algorithm for inference of genetic network architectures. Pac Symp Biocomput 3:18\u201329","journal-title":"Pac Symp Biocomput"},{"key":"385_CR17","unstructured":"Lindner W, K\u00f6bler J (2006) Learning Boolean functions under the uniform distribution via the Fourier Transform. In: Toran J (ed) Bulletin of the European Association for Theoretical Computer Science. Number 89, pp 48\u201378"},{"issue":"11","key":"385_CR18","doi-asserted-by":"crossref","first-page":"1529","DOI":"10.1093\/bioinformatics\/btr166","volume":"27","author":"M Maucher","year":"2011","unstructured":"Maucher M, Kracher B, K\u00fchl M, Kestler HA (2011) Inferring Boolean network structure via correlation. Bioinformatics 27(11):1529\u20131536","journal-title":"Bioinformatics"},{"key":"385_CR19","doi-asserted-by":"crossref","unstructured":"Mossel E, O\u2019Donnell R, Servedio R (2003) Learning juntas. In: STOC \u201903: Proceedings of the thirty-fifth annual ACM symposium on Theory of Computing, pp 206\u2013212","DOI":"10.1145\/780542.780574"},{"issue":"10","key":"385_CR20","doi-asserted-by":"crossref","first-page":"1378","DOI":"10.1093\/bioinformatics\/btq124","volume":"26","author":"C M\u00fcssel","year":"2010","unstructured":"M\u00fcssel C, Hopfensitz M, Kestler HA (2010) BoolNet\u2014an R package for generation, reconstruction, and analysis of Boolean networks. Bioinformatics 26(10):1378\u20131380","journal-title":"Bioinformatics"},{"key":"385_CR21","unstructured":"R Development Core Team (2008) R: A language and environment for statistical computing. http:\/\/www.R-project.org"},{"key":"385_CR22","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1186\/1687-4153-2011-6","volume":"2011","author":"S Schober","year":"2011","unstructured":"Schober S, Kracht D, Heckel R, Bossert M (2011) Detecting controlling nodes of boolean regulatory networks. EURASIP J Bioinform Syst Biol 2011:6","journal-title":"EURASIP J Bioinform Syst Biol"},{"key":"385_CR23","doi-asserted-by":"crossref","DOI":"10.1142\/4610","volume-title":"The discrete Fourier transform: theory, algorithms and applications","author":"D Sundararajan","year":"2001","unstructured":"Sundararajan D (2001) The discrete Fourier transform: theory, algorithms and applications. World Scientific Publishing, Singapore"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-012-0385-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00180-012-0385-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-012-0385-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,2]],"date-time":"2022-02-02T18:57:06Z","timestamp":1643828226000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00180-012-0385-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12,8]]},"references-count":23,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2014,2]]}},"alternative-id":["385"],"URL":"https:\/\/doi.org\/10.1007\/s00180-012-0385-2","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"value":"0943-4062","type":"print"},{"value":"1613-9658","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,12,8]]}}}