Python Mapper http danifold netmapper See also mappersummary
- Slides: 36
Python Mapper: http: //danifold. net/mapper/ See also mappersummary 2 a. pdf - A quick introduction to Mapper for linux computers in B 5 MLH
A) Data Set Example: Point cloud data representing a hand. B) Function f : Data Set R Example: x-coordinate f : (x, y, z) x C) Put data into overlapping bins. Example: f-1(ai, bi) D) Cluster each bin & create network. Vertex = a cluster of a bin. Edge = nonempty intersection between clusters http: //www. nature. com/srep/2013/130207/srep 01236/full/srep 01236. html
http: //scikit-learn. org/stable/auto_examples/cluster/plot_cluster_comparison. html
Hierarchical clustering Data http: //en. wikipedia. org/wiki/ File: Clusters. svg Dendrogram http: //en. wikipedia. org/wiki/File: Hiera rchical_clustering_simple_diagram. svg
Increasing threshold Connect vertices whose distance is less than a given threshold single linkage hierarchical clustering
Hierarchical clustering Data http: //en. wikipedia. org/wiki/ File: Clusters. svg Dendrogram http: //en. wikipedia. org/wiki/File: Hiera rchical_clustering_simple_diagram. svg
Increasing threshold Connect vertices (or clusters) whose distance is less than a given threshold
Different type of hierarchical clustering What is the distance between 2 clusters? http: //en. wikipedia. org/wiki/File: Hiera rchical_clustering_simple_diagram. svg http: //www. multid. se/genex/hs 515. htm
http: //statweb. stanford. edu/~tibs/Elem. Stat. Learn/ The Elements of Statistical Learning (2 nd edition) Hastie, Tibshirani and Friedman
A) Data Set Example: Point cloud data representing a hand. B) Function f : Data Set R Example: x-coordinate f : (x, y, z) x C) Put data into overlapping bins. Example: f-1(ai, bi) D) Cluster each bin & create network. Vertex = a cluster of a bin. Edge = nonempty intersection between clusters http: //www. nature. com/srep/2013/130207/srep 01236/full/srep 01236. html
Increasing threshold What are the clusters? ? ?
Filter Function: k. NN distance
mapper. filters. k. NN_distance(data, k, metricpar={}, callback=None) The distance to the k-th nearest neighbor as an (inverse) measure of density. Note how the number of nearest neighbors is understood: k=1, the first neighbor, makes no sense for a filter function since the first nearest neighbor of a data point is always the point itself, and hence this filter function is constantly zero. The parameter k=2 measures the distance from xi to the nearest data point other than xi itself. d 1(x) = d 2(x) = 5 z 4 d 3(x) = d 4(x) = x 3 y http: //danifold. net/mapper/filters. html#filter-functions-in-python-mapper
x If x is in a denser region than y, then dk(x) y dk(y)
knn distance with k = 5
Python Mapper: http: //danifold. net/mapper/ See also mappersummary 2 a. pdf - A quick introduction to Mapper for linux computers in B 5 MLH
knn distance with k = 5 and 3 bins? ? ? [ ( )( ) ]
knn distance with k = 5 and 3 bins? ? ? [ ( )( ) ]
knn distance with k = 5 3 intervals, 50% overlap
knn distance with k = 5 3 intervals, 50% overlap [ ( )( ) ]
knn distance with k = 5 3 intervals, 20% overlap [ ( ) ]
knn distance with k = 5 5 intervals, 50% overlap
knn distance with k = 5 10 intervals, 50% overlap
knn distance with k = 5 100 intervals, 50% overlap
knn distance with k = 50
knn distance with k = 50 3 intervals, 50% overlap
knn distance with k = 50 5 intervals, 50% overlap
knn distance with k = 50 10 intervals, 50% overlap
knn distance with k = 50 100 intervals, 50% overlap
View Screen shot to output png of figure
Save figure to output pdf of figure
Metric: Euclidian Filter Function: Eccentricity with exponent = 1 Cover: Uniform 1 -d cover Clustering: Single modified slide from Maria Gommel
- Netmapper
- Bible mapper
- Sas xml mapper
- Spectral angle mapper
- Active record vs data mapper
- Sas xml mapper
- Hyper electronics
- Active record vs data mapper
- Port mapper failure - timed out
- Busek bit-3
- Gcd mapper
- Census flows mapper
- Django orm
- Ieee 1599
- Mapper design pattern
- Pcm pipeline
- Imagic mapper
- Dose mapper
- Transaction script pattern
- Www.python.or
- Python
- Http//www.python.org
- Http //www.python.org
- Http://www.python.org
- Http://www.python.org/download/
- Www.pythonorg
- "http://www.python.org"
- Http //mbs.meb.gov.tr/ http //www.alantercihleri.com
- Siat.ung.ac.id
- Fixed installment method and diminishing balance method
- Status register
- When to use an ellipsis
- 15 helping verbs
- Inverters are also known as
- The ________ scale is also known as the five-tone scale.
- What are the osha construction standards also called
- Also all by shu ting