HVG: A function to compute Horizontal Visibility Graphs and...
In statcomp: Statistical Complexity and Information Measures for Time Series Analysis
Description
Usage
Arguments
Details
Value
Author(s)
References
Examples
Description
Calculates a Horizontal Visibility Graph
Usage
1
HVG(x, meth, maxL, rho)
Arguments
x
A time series
meth
A character string that describes the HVG method to use. Currently implemented: "HVG", "HVG_weighted", "LPHVG", "LPHVG_weighted".
maxL
Maximum length of the time series.
rho
Additional parameter
Details
Horizontal Visibility Graphs map a time series into a complex network.
Following Luque, B., Lacasa, L., Ballesteros, F. and Luque, J., 2009. Horizontal visibility graphs: Exact results for random time series. Physical Review E, 80(4), p.046103.
ATTENTION: This function is still in development and needs further testing!
Value
A list that contains the adjacency matrix, degree distribution, and further HVG-based statistics.
Author(s)
Sebastian Sippel
References
Luque, B., Lacasa, L., Ballesteros, F. and Luque, J., 2009. Physical Review E, 80(4), p.046103.
Examples
1
2
Example output
$A
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
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[,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
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[19,] 0 0 0 0 1 0 1 0 0 0 0 0
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[25,] 0 0 0 0 0 0 0 0 0 0 1 0
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[,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
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[100,] 0 0 0 0 0 0 0 0 0 0 0 0
[,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
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[24,] 0 0 0 0 0 0 0 0 0 0 0 0
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[27,] 0 0 0 0 0 0 0 0 0 0 0 0
[28,] 0 0 0 0 0 0 0 0 0 0 0 0
[29,] 0 0 0 0 0 0 0 0 0 0 0 0
[30,] 0 0 0 0 0 0 0 0 0 0 0 0
[31,] 0 0 0 0 0 0 0 0 1 0 0 0
[32,] 0 0 0 0 0 0 0 0 1 0 0 0
[33,] 1 0 0 0 0 1 0 0 1 0 0 0
[34,] 1 0 0 0 0 0 0 0 0 0 0 0
[35,] 1 0 0 0 0 0 0 0 0 0 0 0
[36,] 1 0 0 0 0 0 0 0 0 0 0 0
[37,] 1 0 0 0 0 0 0 0 0 0 0 0
[38,] 0 1 1 1 1 1 0 0 0 0 0 0
[39,] 1 0 1 0 0 0 0 0 0 0 0 0
[40,] 1 1 0 1 0 0 0 0 0 0 0 0
[41,] 1 0 1 0 1 0 0 0 0 0 0 0
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[43,] 1 0 0 0 1 0 1 0 1 0 0 0
[44,] 0 0 0 0 0 1 0 1 1 0 0 0
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[46,] 0 0 0 0 0 1 1 1 0 1 0 1
[47,] 0 0 0 0 0 0 0 0 1 0 1 1
[48,] 0 0 0 0 0 0 0 0 0 1 0 1
[49,] 0 0 0 0 0 0 0 0 1 1 1 0
[50,] 0 0 0 0 0 0 0 0 0 0 0 1
[51,] 0 0 0 0 0 0 0 0 0 0 0 0
[52,] 0 0 0 0 0 0 0 0 0 0 0 1
[53,] 0 0 0 0 0 0 0 0 1 0 0 1
[54,] 0 0 0 0 0 0 0 0 0 0 0 0
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[56,] 0 0 0 0 0 0 0 0 0 0 0 0
[57,] 0 0 0 0 0 0 0 0 0 0 0 0
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[63,] 0 0 0 0 0 0 0 0 0 0 0 0
[64,] 0 0 0 0 0 0 0 0 0 0 0 0
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[77,] 0 0 0 0 0 0 0 0 0 0 0 0
[78,] 0 0 0 0 0 0 0 0 0 0 0 0
[79,] 0 0 0 0 0 0 0 0 0 0 0 0
[80,] 0 0 0 0 0 0 0 0 0 0 0 0
[81,] 0 0 0 0 0 0 0 0 0 0 0 0
[82,] 0 0 0 0 0 0 0 0 0 0 0 0
[83,] 0 0 0 0 0 0 0 0 0 0 0 0
[84,] 0 0 0 0 0 0 0 0 0 0 0 0
[85,] 0 0 0 0 0 0 0 0 0 0 0 0
[86,] 0 0 0 0 0 0 0 0 0 0 0 0
[87,] 0 0 0 0 0 0 0 0 0 0 0 0
[88,] 0 0 0 0 0 0 0 0 0 0 0 0
[89,] 0 0 0 0 0 0 0 0 0 0 0 0
[90,] 0 0 0 0 0 0 0 0 0 0 0 0
[91,] 0 0 0 0 0 0 0 0 0 0 0 0
[92,] 0 0 0 0 0 0 0 0 0 0 0 0
[93,] 0 0 0 0 0 0 0 0 0 0 0 0
[94,] 0 0 0 0 0 0 0 0 0 0 0 0
[95,] 0 0 0 0 0 0 0 0 0 0 0 0
[96,] 0 0 0 0 0 0 0 0 0 0 0 0
[97,] 0 0 0 0 0 0 0 0 0 0 0 0
[98,] 0 0 0 0 0 0 0 0 0 0 0 0
[99,] 0 0 0 0 0 0 0 0 0 0 0 0
[100,] 0 0 0 0 0 0 0 0 0 0 0 0
[,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
[1,] 0 0 0 0 0 0 0 0 0 0 0 0
[2,] 0 0 0 0 0 0 0 0 0 0 0 0
[3,] 0 0 0 0 0 0 0 0 0 0 0 0
[4,] 0 0 0 0 0 0 0 0 0 0 0 0
[5,] 0 0 0 0 0 0 0 0 0 0 0 0
[6,] 0 0 0 0 0 0 0 0 0 0 0 0
[7,] 0 0 0 0 0 0 0 0 0 0 0 0
[8,] 0 0 0 0 0 0 0 0 0 0 0 0
[9,] 0 0 0 0 0 0 0 0 0 0 0 0
[10,] 0 0 0 0 0 0 0 0 0 0 0 0
[11,] 0 0 0 0 0 0 0 0 0 0 0 0
[12,] 0 0 0 0 0 0 0 0 0 0 0 0
[13,] 0 0 0 0 0 0 0 0 0 0 0 0
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$A.outgoing
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[,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
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[,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
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[84,] 0 0 0 0 0 0 0 0 0 1 0 0
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[87,] 0 0 0 0 0 0 0 0 0 0 0 0
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[89,] 0 0 0 0 0 0 0 0 0 1 0 0
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[,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
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[100,] 0 0 0 0 0 0 0 0 0 0 0 1
[,98] [,99] [,100]
[1,] 0 0 0
[2,] 0 0 0
[3,] 0 0 0
[4,] 0 0 0
[5,] 0 0 0
[6,] 0 0 0
[7,] 0 0 0
[8,] 0 0 0
[9,] 0 0 0
[10,] 0 0 0
[11,] 0 0 0
[12,] 0 0 0
[13,] 0 0 0
[14,] 0 0 0
[15,] 0 0 0
[16,] 0 0 0
[17,] 0 0 0
[18,] 0 0 0
[19,] 0 0 0
[20,] 0 0 0
[21,] 0 0 0
[22,] 0 0 0
[23,] 0 0 0
[24,] 0 0 0
[25,] 0 0 0
[26,] 0 0 0
[27,] 0 0 0
[28,] 0 0 0
[29,] 0 0 0
[30,] 0 0 0
[31,] 0 0 0
[32,] 0 0 0
[33,] 0 0 0
[34,] 0 0 0
[35,] 0 0 0
[36,] 0 0 0
[37,] 0 0 0
[38,] 0 0 0
[39,] 0 0 0
[40,] 0 0 0
[41,] 0 0 0
[42,] 0 0 0
[43,] 0 0 0
[44,] 0 0 0
[45,] 0 0 0
[46,] 0 0 0
[47,] 0 0 0
[48,] 0 0 0
[49,] 0 0 0
[50,] 0 0 0
[51,] 0 0 0
[52,] 0 0 0
[53,] 0 0 0
[54,] 0 0 0
[55,] 0 0 0
[56,] 0 0 0
[57,] 0 0 0
[58,] 0 0 0
[59,] 0 0 0
[60,] 0 0 0
[61,] 0 0 0
[62,] 0 0 0
[63,] 0 0 0
[64,] 0 0 0
[65,] 0 0 0
[66,] 0 0 0
[67,] 0 0 0
[68,] 0 0 0
[69,] 0 0 0
[70,] 0 0 0
[71,] 0 0 0
[72,] 0 0 0
[73,] 0 0 0
[74,] 0 0 0
[75,] 0 0 0
[76,] 0 0 0
[77,] 0 0 0
[78,] 0 0 0
[79,] 0 0 0
[80,] 0 0 0
[81,] 0 0 0
[82,] 0 0 0
[83,] 0 0 0
[84,] 0 0 0
[85,] 0 0 0
[86,] 0 0 0
[87,] 0 0 0
[88,] 0 0 0
[89,] 0 0 0
[90,] 0 0 0
[91,] 0 0 0
[92,] 0 0 0
[93,] 0 0 0
[94,] 0 0 0
[95,] 0 0 0
[96,] 0 0 0
[97,] 0 0 0
[98,] 0 0 0
[99,] 1 0 0
[100,] 0 1 0
$k
[1] 2 4 2 4 2 8 5 2 3 4 2 9 2 6 2 3 3 4 3 5 3 3 2 10 2
[26] 4 2 5 2 4 5 3 5 3 3 3 2 10 2 3 3 3 5 3 2 9 3 2 6 3
[51] 2 4 10 2 3 6 2 3 3 5 5 2 5 3 3 2 5 6 3 4 2 3 6 3 2
[76] 11 4 2 4 2 6 2 7 3 3 3 2 6 5 2 4 5 2 3 4 2 11 2 3 2
$k.outgoing
[1] 2 3 1 2 1 4 4 1 1 2 1 5 1 4 1 1 1 1 1 2 2 2 1 5 1 2 1 2 1 1 3 2 4 2 2 2 1
[38] 5 1 1 1 1 2 2 1 3 2 1 3 2 1 1 6 1 1 4 1 1 1 2 4 1 3 2 2 1 1 3 2 3 1 1 2 2
[75] 1 4 3 1 2 1 2 1 4 2 2 2 1 1 3 1 2 4 1 1 2 1 3 1 1 0
$k.incoming
[1] 0 1 1 2 1 4 1 1 2 2 1 4 1 2 1 2 2 3 2 3 1 1 1 5 1 2 1 3 1 3 2 1 1 1 1 1 1
[38] 5 1 2 2 2 3 1 1 6 1 1 3 1 1 3 4 1 2 2 1 2 2 3 1 1 2 1 1 1 4 3 1 1 1 2 4 1
[75] 1 7 1 1 2 1 4 1 3 1 1 1 1 5 2 1 2 1 1 2 2 1 8 1 2 2
$kdis
[1] 0.00 0.31 0.29 0.12 0.12 0.07 0.01 0.01 0.02 0.03 0.02
$kdis.outgoing
[1] 0.47 0.29 0.10 0.09 0.03 0.01
$kdis.incoming
[1] 0.52 0.25 0.10 0.06 0.03 0.01 0.01 0.01
$ccdf
[1] 1.00 1.00 0.69 0.40 0.28 0.16 0.09 0.08 0.07 0.05 0.02
$ccdf.outgoing
[1] 0.99 0.52 0.23 0.13 0.04 0.01
$ccdf.incoming
[1] 0.99 0.47 0.22 0.12 0.06 0.03 0.02 0.01
$k.statistics
$k.statistics$mode.k
[1] "numeric"
$k.statistics$mean.k
[1] 3.84
$k.statistics$median.k
[1] 3
$k.statistics$sd.k
[1] 2.182205
$k.statistics$max.k
[1] 11
$k.statistics$min.k
[1] 2
$k.statistics$range.k
[1] 2 11
$k.statistics$iqr.k
[1] 3
$k.statistics$max.over.median
[1] 3.666667
$ddis
[1] 0.515625000 0.151041667 0.083333333 0.062500000 0.046875000 0.026041667
[7] 0.031250000 0.015625000 0.000000000 0.005208333 0.000000000 0.000000000
[13] 0.005208333 0.015625000 0.010416667 0.005208333 0.000000000 0.005208333
[19] 0.000000000 0.000000000 0.005208333 0.005208333 0.005208333 0.000000000
[25] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[31] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[37] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[43] 0.000000000 0.005208333
$Inf.ratio
[1] 0.08
statcomp documentation built on Oct. 30, 2019, 11:15 a.m.
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Description Usage Arguments Details Value Author(s) References Examples
Description
Calculates a Horizontal Visibility Graph
Usage
1 | HVG(x, meth, maxL, rho)
|
Arguments
x |
A time series |
meth |
A character string that describes the HVG method to use. Currently implemented: "HVG", "HVG_weighted", "LPHVG", "LPHVG_weighted". |
maxL |
Maximum length of the time series. |
rho |
Additional parameter |
Details
Horizontal Visibility Graphs map a time series into a complex network. Following Luque, B., Lacasa, L., Ballesteros, F. and Luque, J., 2009. Horizontal visibility graphs: Exact results for random time series. Physical Review E, 80(4), p.046103. ATTENTION: This function is still in development and needs further testing!
Value
A list that contains the adjacency matrix, degree distribution, and further HVG-based statistics.
Author(s)
Sebastian Sippel
References
Luque, B., Lacasa, L., Ballesteros, F. and Luque, J., 2009. Physical Review E, 80(4), p.046103.
Examples
1 2 |
Example output
$A
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
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[,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
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[,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
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$A.outgoing
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[,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
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[,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
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[,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
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[,98] [,99] [,100]
[1,] 0 0 0
[2,] 0 0 0
[3,] 0 0 0
[4,] 0 0 0
[5,] 0 0 0
[6,] 0 0 0
[7,] 0 0 0
[8,] 0 0 0
[9,] 0 0 0
[10,] 0 0 0
[11,] 0 0 0
[12,] 0 0 0
[13,] 0 0 0
[14,] 0 0 0
[15,] 0 0 0
[16,] 0 0 0
[17,] 0 0 0
[18,] 0 0 0
[19,] 0 0 0
[20,] 0 0 0
[21,] 0 0 0
[22,] 0 0 0
[23,] 0 0 0
[24,] 0 0 0
[25,] 0 0 0
[26,] 0 0 0
[27,] 0 0 0
[28,] 0 0 0
[29,] 0 0 0
[30,] 0 0 0
[31,] 0 0 0
[32,] 0 0 0
[33,] 0 0 0
[34,] 0 0 0
[35,] 0 0 0
[36,] 0 0 0
[37,] 0 0 0
[38,] 0 0 0
[39,] 0 0 0
[40,] 0 0 0
[41,] 0 0 0
[42,] 0 0 0
[43,] 0 0 0
[44,] 0 0 0
[45,] 0 0 0
[46,] 0 0 0
[47,] 0 0 0
[48,] 0 0 0
[49,] 0 0 0
[50,] 0 0 0
[51,] 0 0 0
[52,] 0 0 0
[53,] 0 0 0
[54,] 0 0 0
[55,] 0 0 0
[56,] 0 0 0
[57,] 0 0 0
[58,] 0 0 0
[59,] 0 0 0
[60,] 0 0 0
[61,] 0 0 0
[62,] 0 0 0
[63,] 0 0 0
[64,] 0 0 0
[65,] 0 0 0
[66,] 0 0 0
[67,] 0 0 0
[68,] 0 0 0
[69,] 0 0 0
[70,] 0 0 0
[71,] 0 0 0
[72,] 0 0 0
[73,] 0 0 0
[74,] 0 0 0
[75,] 0 0 0
[76,] 0 0 0
[77,] 0 0 0
[78,] 0 0 0
[79,] 0 0 0
[80,] 0 0 0
[81,] 0 0 0
[82,] 0 0 0
[83,] 0 0 0
[84,] 0 0 0
[85,] 0 0 0
[86,] 0 0 0
[87,] 0 0 0
[88,] 0 0 0
[89,] 0 0 0
[90,] 0 0 0
[91,] 0 0 0
[92,] 0 0 0
[93,] 0 0 0
[94,] 0 0 0
[95,] 0 0 0
[96,] 0 0 0
[97,] 0 0 0
[98,] 0 0 0
[99,] 1 0 0
[100,] 0 1 0
$k
[1] 2 4 2 4 2 8 5 2 3 4 2 9 2 6 2 3 3 4 3 5 3 3 2 10 2
[26] 4 2 5 2 4 5 3 5 3 3 3 2 10 2 3 3 3 5 3 2 9 3 2 6 3
[51] 2 4 10 2 3 6 2 3 3 5 5 2 5 3 3 2 5 6 3 4 2 3 6 3 2
[76] 11 4 2 4 2 6 2 7 3 3 3 2 6 5 2 4 5 2 3 4 2 11 2 3 2
$k.outgoing
[1] 2 3 1 2 1 4 4 1 1 2 1 5 1 4 1 1 1 1 1 2 2 2 1 5 1 2 1 2 1 1 3 2 4 2 2 2 1
[38] 5 1 1 1 1 2 2 1 3 2 1 3 2 1 1 6 1 1 4 1 1 1 2 4 1 3 2 2 1 1 3 2 3 1 1 2 2
[75] 1 4 3 1 2 1 2 1 4 2 2 2 1 1 3 1 2 4 1 1 2 1 3 1 1 0
$k.incoming
[1] 0 1 1 2 1 4 1 1 2 2 1 4 1 2 1 2 2 3 2 3 1 1 1 5 1 2 1 3 1 3 2 1 1 1 1 1 1
[38] 5 1 2 2 2 3 1 1 6 1 1 3 1 1 3 4 1 2 2 1 2 2 3 1 1 2 1 1 1 4 3 1 1 1 2 4 1
[75] 1 7 1 1 2 1 4 1 3 1 1 1 1 5 2 1 2 1 1 2 2 1 8 1 2 2
$kdis
[1] 0.00 0.31 0.29 0.12 0.12 0.07 0.01 0.01 0.02 0.03 0.02
$kdis.outgoing
[1] 0.47 0.29 0.10 0.09 0.03 0.01
$kdis.incoming
[1] 0.52 0.25 0.10 0.06 0.03 0.01 0.01 0.01
$ccdf
[1] 1.00 1.00 0.69 0.40 0.28 0.16 0.09 0.08 0.07 0.05 0.02
$ccdf.outgoing
[1] 0.99 0.52 0.23 0.13 0.04 0.01
$ccdf.incoming
[1] 0.99 0.47 0.22 0.12 0.06 0.03 0.02 0.01
$k.statistics
$k.statistics$mode.k
[1] "numeric"
$k.statistics$mean.k
[1] 3.84
$k.statistics$median.k
[1] 3
$k.statistics$sd.k
[1] 2.182205
$k.statistics$max.k
[1] 11
$k.statistics$min.k
[1] 2
$k.statistics$range.k
[1] 2 11
$k.statistics$iqr.k
[1] 3
$k.statistics$max.over.median
[1] 3.666667
$ddis
[1] 0.515625000 0.151041667 0.083333333 0.062500000 0.046875000 0.026041667
[7] 0.031250000 0.015625000 0.000000000 0.005208333 0.000000000 0.000000000
[13] 0.005208333 0.015625000 0.010416667 0.005208333 0.000000000 0.005208333
[19] 0.000000000 0.000000000 0.005208333 0.005208333 0.005208333 0.000000000
[25] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[31] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[37] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[43] 0.000000000 0.005208333
$Inf.ratio
[1] 0.08
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