T. A. Manolio, F. S. Collins, N. J. Cox, D. B. Goldstein, L. A. Hindorff et al., Finding the Missing Heritability of Complex Diseases, Nature, vol.461, issue.7265, pp.747-53, 2009.

D. Haig, Does Heritability Hide in Epistasis between Linked SNPs?, Eur J Hum Genet, vol.19, issue.2, p.123, 2011.

O. Zuk, E. Hechter, S. R. Sunyaev, and E. S. Lander, The Mystery of Missing Heritability: Genetic Interactions Create Phantom Heritability, PNAS, vol.109, issue.4, pp.1193-1201, 2012.

C. Niel, C. Sinoquet, C. Dina, and G. Rocheleau, A survey about methods dedicated to epistasis detection, Front Genet, vol.6, p.285, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01205577

W. H. Wei, G. Hemani, and C. S. Haley, Detecting Epistasis in Human Complex Traits, Nat Rev Genet, vol.15, issue.11, pp.722-755, 2014.

K. V. Steen, Travelling the World of Gene-Gene Interactions, Brief Bioinformatics, vol.13, issue.1, pp.1-19, 2012.

N. Chatterjee, Z. Kalaylioglu, R. Moslehi, U. Peters, and S. Wacholder, Powerful Multilocus Tests of Genetic Association in the Presence of Gene-Gene and Gene-Environment Interactions, Am J Hum Genet, vol.79, issue.6, pp.1002-1018, 2006.

T. Wang, G. Ho, K. Ye, H. Strickler, and R. C. Elston, A Partial Least-Square Approach for Modeling Gene-Gene and Gene-Environment Interactions When Multiple Markers Are Genotyped, PLS approach, vol.33, 2009.

J. Li, R. Tang, J. M. Biernacka, and M. De-andrade, Identification of Gene-Gene Interaction Using Principal Components, BMC Proceedings, vol.3, issue.7, 2009.

J. He, K. Wang, A. C. Edmondson, D. J. Rader, C. Li et al., Gene-Based Interaction Analysis by Incorporating External Linkage Disequilibrium Information, Eur J Hum Genet, vol.19, issue.2, pp.164-72, 2011.

I. Rajapakse, M. D. Perlman, P. J. Martin, J. A. Hansen, and C. Kooperberg,

, Multivariate Detection of Gene-Gene Interactions, Genet Epidemiol, vol.36, issue.6, pp.622-652, 2012.

Q. Peng, J. Zhao, and F. Xue, A Gene-Based Method for Detecting Genegene Co-Association in a Case-control Association Study, Eur J Hum Genet, vol.18, issue.5, pp.582-589, 2010.

N. B. Larson, G. D. Jenkins, M. C. Larson, R. A. Vierkant, T. A. Sellers et al., Kernel Canonical Correlation Analysis for Assessing Gene-Gene Interactions and Application to Ovarian Cancer, Eur J Hum Genet, vol.22, issue.1, pp.126-157, 2014.

Z. Yuan, Q. Gao, Y. He, X. Zhang, F. Li et al., Detection for Gene-Gene Co-Association via Kernel Canonical Correlation Analysis, BMC Genet, vol.13, p.83, 2012.

S. Li and Y. Cui, Gene-Centric Gene-gene Interaction: A Model-Based Kernel Machine Method, Ann Appl Stat, vol.6, issue.3, pp.1134-61, 2012.

G. M. D'angelo, D. Rao, and C. C. Gu, Combining Least Absolute Shrinkage and Selection Operator (LASSO) and Principal-Components Analysis for Detection of Gene-Gene Interactions in Genome-Wide Association Studies, BMC Proc, vol.3, issue.7, pp.PCA-LASSO, 2009.

X. Wang, D. Zhang, and J. Y. Tzeng, Pathway-Guided Identification of Gene-Gene Interactions, Ann Hum Genet, vol.78, issue.6, 2014.

M. Yuan and Y. Lin, Model Selection and Estimation in Regression with Grouped Variables, J R Stat Soc Series B, vol.68, pp.49-67, 2006.

J. M. Bécu, Y. Grandvalet, C. Ambroise, and C. Dalmasso, Beyond support in two-stage variable selection, Statistics and Computing, vol.27, pp.169-179, 2017.

F. Zhang and D. Wagener, An Approach to Incorporate Linkage Disequilibrium Structure into Genomic Association Analysis, J Genet Genomics, vol.35, issue.6, pp.381-385, 2008.

T. T. Wu, Y. F. Chen, T. Hastie, E. Sobel, and K. Lange, Genome-Wide Association Analysis by Lasso Penalized Logistic Regression, Bioinformatics, vol.25, issue.6, pp.714-735, 2009.

A. Cortes, J. Hadler, J. P. Pointon, P. C. Robinson, T. Karaderi et al., Identification of Multiple Risk Variants for Ankylosing Spondylitis through High-Density Genotyping of Immune-Related Loci, Nat Genet, vol.45, issue.7, pp.730-738, 2013.

B. Luzón-toro, M. Bleda, E. Navarro, L. García-alonso, M. Ruiz-ferrer et al., Identification of Epistatic Interactions through Genome-Wide Association Studies in Sporadic Medullary and Juvenile Papillary Thyroid Carcinomas, BMC Med Genomics, vol.8, issue.1, p.83, 2015.

J. Sieper, J. Braun, M. Rudwaleit, A. Boonen, and A. Zink, Ankylosing Spondylitis: An Overview, Ann Rheum Dis, vol.61, issue.3, 2002.

L. Schlosstein, P. I. Terasaki, R. Bluestone, and C. M. Pearson, High Association of an HL-A Antigen, W27, with Ankylosing Spondylitis, N Engl J Med, vol.288, issue.14, pp.704-710, 1973.

J. C. Woodrow and C. J. Eastmond, HLA B27 and the Genetics of Ankylosing Spondylitis, Ann Rheum Dis, vol.37, issue.6, pp.504-513, 1978.

G. P. Thomas and M. A. Brown, Genetics and Genomics of Ankylosing Spondylitis, Immunol Rev, vol.233, issue.1, pp.162-80, 2010.

F. W. Tsui, H. W. Tsui, A. Akram, N. Haroon, and R. D. Inman, The genetic basis of ankylosing spondylitis: New insights into disease pathogenesis, Appl Clin Genet, vol.7, pp.105-120, 2014.

J. D. Reveille, A. M. Sims, P. Danoy, D. M. Evans, P. Leo et al.,

. Genome-wide, Association Study of Ankylosing Spondylitis Identifies Non-MHC Susceptibility Loci, Nat Genet, vol.42, issue.2, pp.123-130, 2010.

S. Melville and M. S. Melville, , 2017.

I. Landa, C. Boullosa, L. Inglada-pérez, A. Sastre-perona, S. Pastor et al., An Epistatic Interaction between the PAX8 and STK17B Genes in Papillary Thyroid Cancer Susceptibility, PLoS ONE, vol.8, issue.9, p.74765, 2013.

A. Martinez-chamorro, A. Moreno, M. Gómez-garcía, M. J. Cabello, J. Martin et al., Epistatic Interaction between TLR4 and NOD2 in Patients with Crohn's Disease: Relation with Risk and Phenotype in a Spanish Cohort, Immunobiology, vol.221, issue.9, pp.927-960, 2016.