# Boundary Matching and Interior Connectivity-Based Cluster Validity Analysis
## 3 Materials and Methods
### Clustering Evaluation Based on Boundary and Interior Points
[CrossRef]
* [PERSON] et al. (2018) [PERSON]; [PERSON]; [PERSON]; [PERSON] An asymptotic ensemble learning framework for big data analysis. _IEEE Access_**2018**, \(7\), 3675-3693. [CrossRef]
* [PERSON] et al. (2018) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Spectral clustering of large-scale data by directly solving normalized cut. In Proceedings of the 24 th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, London, UK, 19-23 August 2018. * [PERSON] et al. (2012) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Fuzzy c-means algorithms for very large data. _IEEE Trans. Fuzzy Syst._**2012**, _20_, 1130-1146. [CrossRef]
* [PERSON] et al. (2015) [PERSON] [PERSON]; [PERSON] [PERSON]; [PERSON] Image segmentation using K-means clustering algorithm and subtractive clustering algorithm. _Procedia Comput. Sci._**2015**, _54_, 764-771. [CrossRef]
* [PERSON] et al. (2011) [PERSON]; [PERSON]; [PERSON] Fast modified global k-means algorithm for incremental cluster construction. _Pattern Recognit._**2011**, _44_, 866-876. [CrossRef]
* [PERSON] et al. (2007) [PERSON]; [PERSON]; [PERSON] Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. _Pattern Recognit._**2007**, _40_, 825-838. [CrossRef]
* [PERSON] and [PERSON] (2005) [PERSON]; [PERSON] A cluster validity index for fuzzy clustering. _Pattern Recognit. Lett._**2005**, _26_, 1275-1291. [CrossRef]* (21) [PERSON]; [PERSON]; [PERSON]; [PERSON] A density-based algorithm for discovering clusters in large spatial databases with noise. _KDD_**1996**, _96_, 226-231. * (22) [PERSON]; [PERSON] A new shifting grid clustering algorithm. _Pattern Recognit._**2004**, _37_, 503-514. [CrossRef]
* (23) [PERSON]; [PERSON] Clustering by fast search and find of density peaks. _Science_**2014**, _344_, 1492-1496. [CrossRef] [PubMed]
* (24) [PERSON]; [PERSON]; [PERSON] A novel density peaks clustering algorithm for mixed data. _Pattern Recognit. Lett._**2017**, _97_, 46-53. [CrossRef]
* (25) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] An entropy-based density peaks clustering algorithm for mixed type data employing fuzzy neighborhood. _Knowl. Based Syst._**2017**, _133_, 294-313. [CrossRef]
* (26) [PERSON]; [PERSON]; [PERSON] Study on density peaks clustering based on k-nearest neighbors and principal component analysis. _Knowl. Based Syst._**2016**, _99_, 135-145. [CrossRef]
* (27) [PERSON]; [PERSON]; [PERSON] [PERSON] Transformation regression technique for data mining. In Proceedings of the 2016 IEEE 20 th Jubilee International Conference on Intelligent Engineering Systems (INES), Budapest, Hungary, 30 June-2 July 2016. * (28) [PERSON]; [PERSON]; [PERSON] Toward databases mining: Pre-processing collected data. _Appl. Artif. Intell._**2003**, _17_, 545-561. [CrossRef]
* (29) [PERSON]; [PERSON]; [PERSON]; [PERSON] OPTICS: Ordering points to identify the clustering structure. _ACM Sigmod Rec._**1999**, _28_, 49-60. [CrossRef]
* (30) [PERSON]; [PERSON] Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance. _Pattern Recognit. Lett._**2004**, _25_, 1603-1611. [CrossRef]
* (31) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Weakly supervised scene parsing with point-based distance metric learning. In Proceedings of the AAAI Conference on Artificial Intelligence, Honolulu, HI, USA, 27 January-1 February 2019. * (32) [PERSON]; [PERSON]; [PERSON] Data mining methods for knowledge discovery in multi-objective optimization: Part A-Survey. _Expert Syst. Appl._**2017**, _70_, 139-159. [CrossRef]
* (33) [PERSON]; [PERSON]; [PERSON]; [PERSON] A new validity index for evaluating the clustering results by partitional clustering algorithms. _Soft Comput._**2016**, _20_, 1127-1138. [CrossRef]
* (34) [PERSON]; [PERSON]; [PERSON]; [PERSON] Study and observation of the variation of accuracies of KNN, SVM, LMNN, ENN algorithms on eleven different datasets from UCI machine learning repository.