Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and...
Transcript of Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and...
![Page 1: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/1.jpg)
Lauren Bennett, Flora Vale, Alberto Nieto
Means & Medians to Machine Learning: Spatial Statistics Basics and Innovations
esriurl.com/spatialstats
![Page 2: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/2.jpg)
What are Spatial Statistics?
![Page 3: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/3.jpg)
Spatial Statistics are a set of exploratory techniques for
describing and modeling spatial distributions, patterns,
processes, and relationships.
![Page 4: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/4.jpg)
proximityarea
lengthorientation
connectivitycoincidence
direction
![Page 5: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/5.jpg)
![Page 6: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/6.jpg)
Spreadsheets
Data or Information?
![Page 7: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/7.jpg)
Maps
Data or Information?
![Page 8: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/8.jpg)
When you look at a spreadsheet…
![Page 9: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/9.jpg)
You ask for more
• Mean
• Standard Deviations
• Min and Max
• …
![Page 10: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/10.jpg)
Same goes for maps!
![Page 11: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/11.jpg)
We can do more
![Page 12: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/12.jpg)
Means and Medians
Machine Learningclustering methods
summarizing spatial distributions
![Page 13: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/13.jpg)
Means and Medianssummarizing spatial distributions
![Page 14: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/14.jpg)
Central Feature
identifies the most centrally located feature in a point, line, or polygon feature class
![Page 15: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/15.jpg)
![Page 16: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/16.jpg)
Y
X
![Page 17: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/17.jpg)
X
Y
![Page 18: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/18.jpg)
X
Y
![Page 19: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/19.jpg)
X
Y
![Page 20: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/20.jpg)
X
Y
![Page 21: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/21.jpg)
X
Y
central feature
![Page 22: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/22.jpg)
Mean Center
identifies the geographic center (or the center of concentration) for a set of features
![Page 23: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/23.jpg)
X
Y
(25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
![Page 24: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/24.jpg)
X
Y (25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
(17,15)
mean center
mean =
(17,15)
![Page 25: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/25.jpg)
Median Center
identifies the location that minimizes overall Euclidean distance to the features in a dataset
![Page 26: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/26.jpg)
Y
X
(25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
![Page 27: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/27.jpg)
X
YX: 25 . 24 . 22 . 18 . 14 . 14 . 13 . 12 . 9
Y: 24 . 23 . 18 . 16 . 14 . 12 . 12 . 12 . 8
(14,14)
median center
median =
![Page 28: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/28.jpg)
Mean vs Median?
![Page 29: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/29.jpg)
X
Y(176,138)
(25,24)
(24,16)
(22,23)
(18,12)
(14,8)
(12,12)
(14,14)
(9,18)
(13,12)
![Page 30: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/30.jpg)
X
Y
![Page 31: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/31.jpg)
Linear Directional Mean
identifies the mean direction, length, and geographic center for a set of lines
![Page 32: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/32.jpg)
Y
X
![Page 33: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/33.jpg)
Y
X
![Page 34: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/34.jpg)
Directional Distribution(Standard Deviational Ellipse)
creates standard deviational ellipses to summarize the spatial characteristics of geographic features: central tendency, dispersion, and directional trends
![Page 35: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/35.jpg)
X
Y
mean center
![Page 36: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/36.jpg)
X
Y
![Page 37: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/37.jpg)
![Page 38: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/38.jpg)
Demo
![Page 39: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/39.jpg)
Machine Learningclustering methods
![Page 40: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/40.jpg)
Density-based Clustering
finds clusters based on feature locations
![Page 41: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/41.jpg)
![Page 42: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/42.jpg)
Cluster 1
Cluster 2
Cluster 3
Cluster 4
Cluster 5
Noise
![Page 43: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/43.jpg)
DBSCAN – defined distance
HDBSCAN – self adjusting
OPTICS – multi-scale
![Page 44: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/44.jpg)
DBSCAN – defined distance
![Page 45: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/45.jpg)
DBSCAN – defined distance
![Page 46: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/46.jpg)
DBSCAN – defined distance
![Page 47: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/47.jpg)
DBSCAN – defined distance
![Page 48: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/48.jpg)
DBSCAN – defined distance
![Page 49: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/49.jpg)
DBSCAN – defined distance
![Page 50: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/50.jpg)
DBSCAN – defined distance
![Page 51: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/51.jpg)
HDBSCAN – self adjusting
![Page 52: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/52.jpg)
OPTICS – multi-scale
![Page 53: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/53.jpg)
OPTICS – multi-scale
![Page 54: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/54.jpg)
OPTICS – multi-scale
![Page 55: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/55.jpg)
OPTICS – multi-scaleR
each
abili
ty d
ista
nce
Feature order
![Page 56: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/56.jpg)
OPTICS – multi-scale
![Page 57: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/57.jpg)
OPTICS – multi-scale
![Page 58: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/58.jpg)
DBSCAN HDBSCAN OPTICS
• Uses fixed search distance
• Clusters of similar densities
• Fast
• Uses range of search distances to find clusters of varying densities
• Data driven, requires least user input
• Uses neighbor distances to create reachability plot
• Most flexibility for fine tuning
• Can be computationally intensive
![Page 59: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/59.jpg)
Demo
![Page 60: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/60.jpg)
Multivariate Clustering
finds clusters based on feature attributes
![Page 61: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/61.jpg)
3 groups 4 groupsK Means
![Page 62: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/62.jpg)
2 groups 3 groups 4 groups
K Means
![Page 63: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/63.jpg)
2 groups 3 groups 4 groups
K Means
![Page 64: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/64.jpg)
2 groups 3 groups 4 groups
K Means
![Page 65: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/65.jpg)
![Page 66: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/66.jpg)
% Below 138 FPL
% Uninsured
% No High School
% Latino
Eligible Uninsured Americans
![Page 67: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/67.jpg)
Spatially Constrained Multivariate Clustering
finds clusters based on feature attributes and proximity
![Page 68: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/68.jpg)
https://xkcd.com/1364/
![Page 69: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/69.jpg)
Minimum Spanning Tree
![Page 70: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/70.jpg)
Minimum Spanning Tree
![Page 71: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/71.jpg)
Minimum Spanning Tree
![Page 72: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/72.jpg)
Minimum Spanning Tree
![Page 73: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/73.jpg)
Minimum Spanning Tree
![Page 74: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/74.jpg)
Minimum Spanning Tree
![Page 75: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/75.jpg)
Minimum Spanning Tree
![Page 76: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/76.jpg)
Crime in Chicago
Median Income
HS Dropout Rate
UnemploymentUnemployment
Crime Count
![Page 77: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/77.jpg)
Demo
![Page 78: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/78.jpg)
dissimilar between
![Page 79: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/79.jpg)
dissimilar between
uniformgroups
![Page 80: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/80.jpg)
Build Balanced Zones
creates spatially contiguous zones in your study area using a genetic growth algorithm based on criteria that you specify
![Page 81: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/81.jpg)
Criteria
Zone building
• Attribute target
• Number of zones and attribute target
• Number of zones
![Page 82: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/82.jpg)
Criteria
Zone selection
• Equal area
• Compactness
• Equal number of features
• Attribute to consider
![Page 83: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/83.jpg)
![Page 84: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/84.jpg)
![Page 85: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/85.jpg)
![Page 86: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/86.jpg)
![Page 87: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/87.jpg)
![Page 88: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/88.jpg)
![Page 89: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/89.jpg)
![Page 90: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/90.jpg)
![Page 91: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/91.jpg)
fitness score
9.14
![Page 92: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/92.jpg)
…
9.14
10.22
![Page 93: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/93.jpg)
![Page 94: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/94.jpg)
top 50% move on to next generation
![Page 95: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/95.jpg)
top 50% move on to next generation
![Page 96: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/96.jpg)
top 50% move on to next generation
![Page 97: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/97.jpg)
and crossover to create new offspring
top 50% move on to next generation
![Page 98: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/98.jpg)
and crossover to create new offspring
top 50% move on to next generation
![Page 99: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/99.jpg)
and crossover to create new offspring
top 50% move on to next generation
![Page 100: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/100.jpg)
then the next fittest 50% moves on and crosses over to create the next generation
![Page 101: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/101.jpg)
![Page 102: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/102.jpg)
![Page 103: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/103.jpg)
![Page 104: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/104.jpg)
![Page 105: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/105.jpg)
![Page 106: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/106.jpg)
ConvergenceFi
tne
ss S
core
Generation
![Page 107: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/107.jpg)
Demo
![Page 108: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/108.jpg)
Want to learn more???
esriurl.com/spatialstats
TUESDAY_________________________________________
1:45p Data Visualization for Spatial Analysis 146C
3:00p Machine Learning in ArcGIS 146C
4:15p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C
WEDNESDAY______________________________________
8:30a Machine Learning in ArcGIS 146C
11a Data Visualization for Spatial Analysis 146C
1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C
2:45p Spatial Data Mining: Cluster Analysis and Space Time Analysis 146C
4:00p Beyond Where: Modeling Spatial Relationships and Making Predictions 146C
5:15p The Forest for the Trees: Making Predictions Using Forest-Based Classification and Regression 146C
Please fill out a course survey!!!
![Page 109: Means & Medians to Machine Learning: Spatial Statistics Basics …€¦ · 1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C 2:45p Spatial](https://reader030.fdocuments.in/reader030/viewer/2022011920/6021e8dbd17129733b64de66/html5/thumbnails/109.jpg)
Want to learn more???
esriurl.com/spatialstats
TUESDAY_________________________________________
1:45p Data Visualization for Spatial Analysis 146C
3:00p Machine Learning in ArcGIS 146C
4:15p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C
WEDNESDAY______________________________________
8:30a Machine Learning in ArcGIS 146C
11a Data Visualization for Spatial Analysis 146C
1:30p From Means and Medians to Machine Learning: Spatial Statistics Basics and Innovations 146C
2:45p Spatial Data Mining: Cluster Analysis and Space Time Analysis 146C
4:00p Beyond Where: Modeling Spatial Relationships and Making Predictions 146C
5:15p The Forest for the Trees: Making Predictions Using Forest-Based Classification and Regression 146C
Please fill out a course survey!!!