Detecting functional direction | Example 1. A function in a square table versus its inverse | Example 2. A function in a landscape table versus its inverse | Example 3. A function in a portrait table versus its inverse | Detecting functional strength | Example 4. Functional versus independent patterns | Conclusion

Perfect functional patterns | Imperfect patterns

$\xi_f$ Yes No No No correlation coefficient mean difference

References

1. Circular silhouette on clustered data | 2. Finding an optimal number of clusters | 3. Estimating the period of noisy periodic data

Optimal versus heuristic cluster borders on CpG sites of a circular bacterial genome | References

Runtime as a function of number of points for circular clustering | Runtime as a function of number of clusters | Circular clustering optimality as a function of number of clusters | Conclusions | References

Data preparation | Clustering the circular data | Visualizing circular clusterings | References

Data preparation | Performing framed clustering on the data | Visualizing framed clusters | References

Types of pattern | The three tests of distributional differences across tables | 1. The comparative chi-squared test | 2. The Sharma-Song test | 3. The heterogeneity test | Examples to illustrate differences among the three tests | Conclusions