Description Usage Arguments Details Value Author(s) References See Also Examples

Given an FCS file as input, SamSPECTRAL first builds the communities to sample the data points. Then, it builds a graph and after weighting the edges of the graph by conductance computation, it is passed to a classic spectral clustering algorithm to find the spectral clusters. The last stage of SamSPECTRAL is to combine the spectral clusters. The resulting "connected components" estimate biological cell populations in the data sample.

1 2 3 4 5 | ```
SamSPECTRAL(data.points, dimensions=1:dim(data.points)[2], normal.sigma, separation.factor,number.of.clusters = "NA", scale=rep(1,dim(data.points)[2]),
talk = TRUE, precision = 6, eigenvalues.num =NA, return_only.labels=TRUE, do.sampling=TRUE, beta=4, stabilizer=1000,
k.for_kmeans = "NA", maximum.number.of.clusters=30, m=3000,
minimum.eigenvalue = "NA", previous.result = NULL,
replace.inf.with.extremum=TRUE, minimum.degree=0, one.line=FALSE, doOrderLabels=TRUE)
``` |

`data.points` |
A matrix that contains coordinates of the data points. |

`dimensions` |
A vector that determines which dimension of the data point matrix are chosen for investigation. |

`normal.sigma` |
A scaling parameter that determines the "resolution" in the spectral clustering stage. By increasing it, more spectral clusters are identified. This can be useful when "small" population are aimed. See the user manual for a suggestion on how to set this parameter using the eigenvalue curve. |

`separation.factor` |
This threshold controls to what extend clusters should be combined or kept separate.Normally, an appropriate value will fall in range 0.3-2. |

`number.of.clusters` |
The default value is "NA" which leads to computing the number of spectral clusters automatically, otherwise it can be a vector of integers each of which determines the number of spectral clusters. The output will contain a clustering resulting from each value. |

`talk` |
A boolean flag with default value TRUE. Setting it to FALSE will keep running the procedure quite with no messages. |

`precision` |
Determines the precision of computations. Setting it to 6 will work and increasing it does not improve results. |

`eigenvalues.num` |
An integer with default value NA which prevents ploting the curve of eigenvalues. Otherwise, they will be ploted upto this number. |

`return_only.labels` |
A boolean flag with default value TRUE. If the user set it to FALSE, SamSPECTRAL function will return all the intermediate objects that are computed during the sampling, similarity calculation, spectral clustering and combining stages. |

`do.sampling` |
A boolean flag with default value TRUE. If set to FALSE, the sampling stage will be ignored by picking up all the data points. |

`beta` |
A parameter with default value 4 which must NOT be changed except for huge samples with more than 100,000 data points or for developmental purposes. Setting beta to zero will reduce computational time by applying the following approximation to the conductance calculation step. For each two community, the conductance will be the conductance between their representatives times their sizes. |

`scale` |
A vector the length of which is equal to the number of dimensions. The coordinates in each dimension are multiplied by the corresponding scaling factor. So, the bigger this factor is for a dimension, SamSPECTRAL will consider that dimension to be "more significant" and consequently, that dimension will be more effective in clustering. |

`stabilizer` |
The larger this integer is, the final results will be more stable because the underlying kmeans will restart many more times. |

`k.for_kmeans` |
The number of clusters for running kmeans algorithm in spectral clustering. The default value of "NA" leads to automatic estimation based on eigen values curve. |

`maximum.number.of.clusters` |
An integer used to automatically estimate the number of clusters by fitting 2 regression lines on the eigen values curve. |

`m` |
An integer determining upper and lower bounds on the final number of sample points which will be in range |

`minimum.eigenvalue` |
If not "NA", the number of spectral clusters will be determined such that corresponding eigenvalues are larger than this threshold. |

`previous.result` |
If provided, the intermediate results from previous run can be passed to save on computing time while setting the parameters. |

`replace.inf.with.extremum` |
If TRUE, the Inf and -Inf values will be replaced by maximum and minimum of data in each direction. |

`minimum.degree` |
If a node in the graph has total edge sum less than this threshold, it will be considered as an isolated community. |

`one.line` |
If TRUE, the number of spectral clusters are estimated by fitting 1 line to the eigen values curve. Otherwise 2 lines are fitted. |

`doOrderLabels` |
Used for debugging. If TRUE, after connecting components, relabeling will be done such that the largest component gets label 1. If FALSE, the label of each data point will be the index of the component it belongs to (after connecting components). |

Hints for setting `separation.factor`

and `normal.sigma`

:
While `separation.factor`

=0.7 is normally an appropriate value for many datasets,
for others some value in range 0.3 to 1.2 may produce better results depending on what populations are of particular interest.
The larger `normal.sigma`

is the algorithm will find smaller clusters.
It can be adjusted best by considering the plot of eigenvalues as explained in the vignette.

Returns a vector of labels for data points. If the input parameter return_only.labels is set to FALSE, all the objects that are computed during the intermediate will be returned including: society from sampling stage, conductance from similarity calculation, clustering_result, component.of from connecting step (the same as labels if doOrderLabels=FALSE, used for debugging), timeTaken, and sizes which is a table of size of each component.

Habil Zare and Parisa Shooshtari

Zare, H. and Shooshtari, P. and Gupta, A. and Brinkman R.B: Data Reduction for Spectral Clustering to Analyse High Throughput Flow Cytometry Data. BMC Bioinformatics, 2010, 11:403.

`SamSPECTRAL`

, `Building_Communities`

, `Conductance_Calculation`

,
`Civilized_Spectral_Clustering`

, `Connecting`

,`check.SamSPECTRAL.input`

1 2 3 4 5 6 7 8 9 10 11 12 | ```
## Not run:
library(SamSPECTRAL)
# Reading data file which has been transformed using log transform
data(small_data)
full <- small
L <- SamSPECTRAL(data.points=full,dimensions=c(1,2,3), normal.sigma = 200, separation.factor = 0.39)
plot(full, pch='.', col= L)
## End(Not run)
``` |

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