Description Usage Arguments Value Author(s) References Examples
View source: R/Sigma_Estimation.R
This function estimates the correlation matrix of the rows of a design matrix in linear models in the case where the correlation matrix has a block-wise structure.
1 |
X |
Design matrix of the linear model considered. |
mat |
Estimation of the correlation matrix of the rows of X |
alpha |
Estimation of the coefficients of the blocks of the correlation matrix |
group_act |
Indices of the active or non active variables |
Wencan Zhu [aut, cre], Celine Levy-Leduc [ctb], Nils Ternes [ctb]
W. Zhu, C. Levy-Leduc, N. Ternes. "A variable selection approach for highly correlated predictors in high-dimensional genomic data". arXiv:2007.10768.
1 2 |
$mat
[,1] [,2] [,3] [,4] [,5] [,6] [,7]
[1,] 1.0000000 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[2,] 0.7405381 1.0000000 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[3,] 0.7405381 0.7405381 1.0000000 0.7405381 0.7405381 0.7405381 0.7405381
[4,] 0.7405381 0.7405381 0.7405381 1.0000000 0.7405381 0.7405381 0.7405381
[5,] 0.7405381 0.7405381 0.7405381 0.7405381 1.0000000 0.7405381 0.7405381
[6,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 1.0000000 0.7405381
[7,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 1.0000000
[8,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[9,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[10,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[11,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[12,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[13,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[14,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[15,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[16,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[17,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[18,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[19,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[20,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[21,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[22,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[23,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[24,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[25,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[26,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[27,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[28,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[29,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[30,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[31,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[32,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[33,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[34,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[35,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[36,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[37,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[38,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[39,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[40,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[41,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[42,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[43,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[44,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[45,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[46,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[47,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[48,] 0.4832910 0.4832910 0.4832910 0.4832910 0.4832910 0.4832910 0.4832910
[49,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[50,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[51,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[52,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[53,] 0.4832910 0.4832910 0.4832910 0.4832910 0.4832910 0.4832910 0.4832910
[54,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[55,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[56,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[57,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[58,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[59,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[60,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[61,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[62,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[63,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[64,] 0.4832910 0.4832910 0.4832910 0.4832910 0.4832910 0.4832910 0.4832910
[65,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[66,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[67,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[68,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[69,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[70,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[71,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[72,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[73,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[74,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[75,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[76,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[77,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[78,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[79,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[80,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[81,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[82,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[83,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[84,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[85,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[86,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[87,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[88,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[89,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[90,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[91,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[92,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[93,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[94,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[95,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[96,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[97,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[98,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[99,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[100,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[101,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[102,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[103,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[104,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[105,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[106,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[107,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[108,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[109,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[110,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[111,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[112,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[113,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[114,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[115,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[116,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[117,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[118,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[119,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[120,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[121,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[122,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[123,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[124,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[125,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[126,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[127,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[128,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[129,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[130,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[131,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[132,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[133,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[134,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[135,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[136,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[137,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[138,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[139,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[140,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[141,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[142,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[143,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[144,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[145,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[146,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[147,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[148,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[149,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[150,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[151,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[152,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[153,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[154,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[155,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[156,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[157,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[158,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[159,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[160,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[161,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[162,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[163,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[164,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[165,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[166,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[167,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[168,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[169,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[170,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[171,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[172,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[173,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[174,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[175,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[176,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[177,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[178,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[179,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[180,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[181,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[182,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[183,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[184,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[185,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[186,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[187,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[188,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[189,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[190,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[191,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
[192,] 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381 0.7405381
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[175,] 0.7405381 0.7405381 0.7405381 0.7405381
[176,] 0.7405381 0.7405381 0.7405381 0.7405381
[177,] 0.7405381 0.7405381 0.7405381 0.7405381
[178,] 0.7405381 0.7405381 0.7405381 0.7405381
[179,] 0.7405381 0.7405381 0.7405381 0.7405381
[180,] 0.7405381 0.7405381 0.7405381 0.7405381
[181,] 0.7405381 0.7405381 0.7405381 0.7405381
[182,] 0.7405381 0.7405381 0.7405381 0.7405381
[183,] 0.7405381 0.7405381 0.7405381 0.7405381
[184,] 0.7405381 0.7405381 0.7405381 0.7405381
[185,] 0.7405381 0.7405381 0.7405381 0.7405381
[186,] 0.7405381 0.7405381 0.7405381 0.7405381
[187,] 0.7405381 0.7405381 0.7405381 0.7405381
[188,] 0.7405381 0.7405381 0.7405381 0.7405381
[189,] 0.7405381 0.7405381 0.7405381 0.7405381
[190,] 0.7405381 0.7405381 0.7405381 0.7405381
[191,] 0.7405381 0.7405381 0.7405381 0.7405381
[192,] 0.7405381 0.7405381 0.7405381 0.7405381
[193,] 0.7405381 0.7405381 0.7405381 0.7405381
[194,] 0.7405381 0.7405381 0.7405381 0.7405381
[195,] 0.7405381 0.7405381 0.7405381 0.7405381
[196,] 0.7405381 0.7405381 0.7405381 0.7405381
[197,] 1.0000000 0.7405381 0.7405381 0.7405381
[198,] 0.7405381 1.0000000 0.7405381 0.7405381
[199,] 0.7405381 0.7405381 1.0000000 0.7405381
[200,] 0.7405381 0.7405381 0.7405381 1.0000000
$alpha
[1] 0.1921810 0.4832910 0.7405381
$group_act
[1] 48 53 64
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