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fixed acknowledgement section
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lutzhamel committed Jul 12, 2021
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Expand Up @@ -35,7 +35,7 @@ we introduce an R-package called `popsom` [@popsom2021R] that implements a train
for self-organizing maps based on vector and matrix operations inspired by
tensor algebra [@hamel2018vsom]. We have measured speed ups of the training phase
of a SOM of up to 60 times using our implementation over traditional implementations of the training algorithm such as
[@som2021R]. This speedup enables researchers to look at much larger data sets or to improve
[@som2016R]. This speedup enables researchers to look at much larger data sets or to improve
their throughput with a given data size.

Visualization of a trained map is at the core of using self-organizing maps. The
Expand Down Expand Up @@ -64,8 +64,8 @@ the user for analysis, and (b) a centroid based clustering model similar to a k-
model where centroid and cluster information is available to the user. Having these
two perspectives of a dataset is often helpful during a data analysis.

4. A number of easily accessible quality metrics for the self-organizing map and the centroid based cluster models. In particular, the package computes the `convergence` of a map which is a linear combination of the variance captured and the topographic fidelity of the map. A value close to 1 means a converged map. Furthermore, `popsom` also computes the `separation` of the clusters
in a model. This is computed by the formula $1 - wcss/bcss$. In general, a value close to 1 means well separated clusters.
4. The package provides a number of easily accessible quality metrics for the self-organizing map and the centroid based cluster models. In particular, the package computes the `convergence` of a map which is a linear combination of the variance captured and the topographic fidelity of the map. A value close to 1 of this metric indicates a converged map. Furthermore, `popsom` also computes the `separation` of the clusters
in a model. This is computed by the formula $1 - wcss/bcss$. In general, a value close to 1 here means well separated clusters.

# Usage

Expand Down Expand Up @@ -113,8 +113,10 @@ in \autoref{fig:map}. A more involved usage example can be found on

# Acknowledgements

Many thanks to the people who have contributed to this project. A special thanks to the
following in no particular order: Benjamin Ott, Gregory Breard, Robert Tatoian,
We would like to thank the University of Rhode Island for financial support of
this project through their 'Project Completion Grants.' A special thanks to the
following people for their contributions to the project
in no particular order: Benjamin Ott, Gregory Breard, Robert Tatoian,
Michael Eiger, and Vishakh Gopu.

# References

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