PswarmEpochsSequential: Intern function, do not use yourself

In DatabionicSwarm: Swarm Intelligence for Self-Organized Clustering

Intern function, do not use yourself

Description

Finds the weak Nash equilibirium of the data bots for one epoch depending on a radius, which requires the setting of constants, grid, and so on in, see Pswarm.

Usage

PswarmEpochsSequential(AllDataBotsPos, MyDistanceMatrix, IndPossibleDBPosR,
AllFreePosR0, NumAllDB, Lines, Columns, Origin, Happiness, GridRadii, GridAngle,
QuadOrHexa, RadiusVector, Rmin, Rmax, Cls, Debug, pp, PlotIt = FALSE,
Verbose = 1)

Arguments

AllDataBotsPos	Complex vector [1:n] of the current positions for the databots on a 2d and real plane in complex numbers.
MyDistanceMatrix	Numeric vector with vectorized distance matrix of the datapoints in the original (high-dimensional) data space
IndPossibleDBPosR	Numeric vector containing the possible positions around a databot dependent on the radius.
AllFreePosR0	NumericMatrix, see AllallowedDBPosR0 in setPolarGrid.
NumAllDB	Integer total number of databots
Lines	Integer stating the number of Lines the polar grid consists of.
Columns	Integer stating the number of columns the polar grid consists of.
Origin	Numeric origin of the positions of grid in two dimensions
Happiness	Numeric value indicating the global happiness over all databots
GridRadii	Numeric matrix with radius information of polar transformation for each grid position
GridAngle	Numeric matrix with angle information of polar transformation for each grid position
QuadOrHexa	optional, bool: If TRUE prints status every 100 iterations
RadiusVector	Numeric vector stating all moving radius in a descending order (cooling down scheme).
Rmin	Integer stating minimum radius.
Rmax	Integer stating maximum radius.
Cls	Integer vector stating the classification vector for each datapoints/databots.
Debug	optional, bool: If TRUE prints information for debugging.
pp	Numeric vector stating ratio of number of jumping simultaneously DataBots of one eppoch (per nash-equilibirum), this vector is linearly monotonically decreasing.
PlotIt	optional, bool: If TRUE creates plot of projection after each epoch.
Verbose	optional, integer stating degree of textual feedback. 0 = no output, 1 = basic notifications, 2 = progress bar, 3 = details.

Details

Algorithm is described in [Thrun, 2018, p. 95, Listing 8.1].

Value

list of

AllDataBotsPosRe	Numeric vector [1:n] of the current positions for the databots on first of two dimensions.
AllDataBotsPosIm	Numeric vector [1:n] of the current positions for the databots on second of two dimensions.
CourseOfHappiness	NumericVector, states the global happiness value per epoch.
RadiusPerEpoch	NumericVector, stating the radius used per epoch in order of computation.

Author(s)

Quirin Stier

References

[Thrun, 2018] Thrun, M. C.: Projection Based Clustering through Self-Organization and Swarm Intelligence, doctoral dissertation 2017, Springer, Heidelberg, ISBN: 978-3-658-20539-3, \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1007/978-3-658-20540-9")}, 2018.

DatabionicSwarm documentation built on June 22, 2024, 9:41 a.m.