PswarmRadiusParallel {DatabionicSwarm}

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

PswarmRadiusParallel(DataBotsPos, DataDists, AllallowedDBPosR0, IndPossibleDBPosRe,
IndPossibleDBPosIm, Lines, Columns, Radius, NumAllDB, NumChoDB, NumFreeShape1,
NumJumps, Origin1, Origin2, Happiness, MinIterations, HappinessInclination, Eps, debug)

Arguments

DataBotsPos

Numeric vector [1:NumJumps*n*2] containing the current positions and all positions for considered/possible jumps which can be computed (depending on number of jumps parameter NumJumps) for the databots on two dimensions.

DataDists

Numeric vector with vectorized distance matrix of the datapoints in the original (high-dimensional) data space

AllallowedDBPosR0

NumericMatrix, see AllallowedDBPosR0 in setPolarGrid

IndPossibleDBPosRe

Numeric Vector of possible positions of the 1st coordinate.

IndPossibleDBPosIm

Numeric Vector of possible positions of the 2nd coordinate.

Lines

Integer stating the number of Lines the polar grid consists of.

Columns

Integer stating the number of columns the polar grid consists of.

Radius

Numeric (Integer) stating the moving radius of the databots

NumAllDB

Integer total number of databots

NumChoDB

Integer number of databots chosen for moving/jumps.

NumFreeShape1

Integer stating the first dimension of the numeric matrix book keeping the possible position grid

NumJumps

Integer number of jumps

Origin1

Numeric origin coordinate 1

Origin2

Numeric origin coordinate 2

Happiness

Numeric value indicating the global happiness over all databots

MinIterations

asdf

HappinessInclination

asdf

Eps

optional, double: Stop criterion for convergence of each epoche.

debug

optional, bool: If TRUE prints status every 100 iterations

Details

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

Value

list of

AllDataBotsPos

ComplexVector, indizes of DataBot Positions after a weak Nash equlibrium is found

stressverlauf

NumericVector, intern result, for debugging only

fokussiertlaufind

NumericVector, intern result, for debugging only

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, doi:10.1007/978-3-658-20540-9, 2018.

[Thrun/Ultsch, 2021] Thrun, M. C., and Ultsch, A.: Swarm Intelligence for Self-Organized Clustering, Artificial Intelligence, Vol. 290, pp. 103237, doi:10.1016/j.artint.2020.103237, 2021.

[Stier/Thrun, 2024] Stier, Q. and Thrun, M. C.: An efficient multicore CPU implementation of the DatabionicSwarm, 18th conference of the International Federation of Classification Societies (IFCS), San José, Costa Rica, July 14-19, 2024.