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Continuous Machine Learning over Streaming Data
Roger Barga, GM Amazon Web Services
Nina Mishra and Sudipto Guha, Principal Scientist(s) AWS
Kapil Chhabra, Rubrik Inc
The Story Continues…
All data originates in real-time!
{
"payerId": "Joe",
"productCode": "AmazonS3",
"clientProductCode": "AmazonS3",
"usageType": "Bandwidth",
"operation": "PUT",
"value": "22490",
"timestamp": "1216674828"
}
Metering Record
127.0.0.1 user-identifier frank [10/Oct/2000:13:55:36 -0700] "GET
/apache_pb.gif HTTP/1.0" 200 2326
Common Log Entry
<165>1 2003-10-11T22:14:15.003Z
mymachine.example.com evntslog - ID47
[exampleSDID@32473 iut="3" eventSource="Application"
eventID="1011"][examplePriority@32473 class="high"]
Syslog Entry
“SeattlePublicWater/Kinesis/123/Realtime” –
412309129140
MQTT Record
<R,AMZN,T,G,R1>
NASDAQ OMX Record
Smart Buildings
Beacons
Smart Textiles
Health Monitors
But, analytics to gain insights is usually
done much, much later.
Insights are perishable.
Batch analytics operations take too long
BusinessValue
Time To Action
Data
originated
Analytics
performed
Insights
gleaned
Action
taken
Outdated
insights
Impotent or
harmful actions
PositiveNegative
Decision
made
Poor decision
Compress the analytics lifecycle
Maximize the value of data
BusinessValue
Time To Action
PositiveNegative
Maximum
Value
#Streaming
Streaming technology is necessary to detect
and act on real-time perishable insights.
© 2018, Amazon Web Services, Inc. or Its Affiliates. All rights reserved.
Kinesis Data Streaming Services
Get actionable insights quickly
Streaming
Ingest data
as it’s
generated
Process data
on the fly
Real-time
analytics/ML,
alerts, actions
Robust Random Cut Forrest
Summary of a dynamic data stream, highly
efficient, wide number of use cases…
Random Cut Tree
Recurse: The cutting stops when
each point is isolated.
Range-biased Cut
0 10
5
Random Cut Forest
Each tree built on a random sample.
…
Random Sample of a Stream
Reservoir Sampling [Vitter]
Maintain random sample of 5 points in a stream?
Keep heads with probability
Discard tails with probability
5
6
1
6
Insert – Case I
Start with the Root
If the point falls inside the bounding box
follow the path to the appropriate child
Insert – Case II
Theorem: Insert generates a tree T’ ~ T( )
What is an Outlier?
Anomaly Score: Displacement
A point is an anomaly if its insertion greatly increases the tree size
( = sum of path lengths from root to leaves
= description length).
Inlier:
Anomaly Score: Displacement
Outlier
NYC Taxi Ridership
0
5000
10000
15000
20000
25000
30000
2014-12-0100:00:00
2014-12-0104:00:00
2014-12-0108:00:00
2014-12-0112:00:00
2014-12-0116:00:00
2014-12-0120:00:00
2014-12-0200:00:00
2014-12-0204:00:00
2014-12-0208:00:00
2014-12-0212:00:00
2014-12-0216:00:00
2014-12-0220:00:00
2014-12-0300:00:00
2014-12-0304:00:00
2014-12-0308:00:00
2014-12-0312:00:00
2014-12-0316:00:00
2014-12-0320:00:00
2014-12-0400:00:00
2014-12-0404:00:00
2014-12-0408:00:00
2014-12-0412:00:00
2014-12-0416:00:00
2014-12-0420:00:00
2014-12-0500:00:00
2014-12-0504:00:00
2014-12-0508:00:00
2014-12-0512:00:00
2014-12-0516:00:00
2014-12-0520:00:00
2014-12-0600:00:00
2014-12-0604:00:00
2014-12-0608:00:00
2014-12-0612:00:00
2014-12-0616:00:00
2014-12-0620:00:00
2014-12-0700:00:00
2014-12-0704:00:00
2014-12-0708:00:00
2014-12-0712:00:00
2014-12-0716:00:00
2014-12-0720:00:00
numPassengers
Mon
8am
6pm
4pm
Sat
11pm
11am
Tue Wed Thu Fri
Date aggregated every 30 minutes,
Shingle Size: 48
1Public Data: http://www.nyc.gov/html/tlc/html/about/trip_record_data.shtml
NYC Taxi Data
0
5000
10000
15000
20000
25000
30000
35000
40000
45000
2014-09-1621:30:00
2014-09-1913:00:00
2014-09-2204:30:00
2014-09-2420:00:00
2014-09-2711:30:00
2014-09-3003:00:00
2014-10-0218:30:00
2014-10-0510:00:00
2014-10-0801:30:00
2014-10-1017:00:00
2014-10-1308:30:00
2014-10-1600:00:00
2014-10-1815:30:00
2014-10-2107:00:00
2014-10-2322:30:00
2014-10-2614:00:00
2014-10-2905:30:00
2014-10-3121:00:00
2014-11-0312:30:00
2014-11-0604:00:00
2014-11-0819:30:00
2014-11-1111:00:00
2014-11-1402:30:00
2014-11-1618:00:00
2014-11-1909:30:00
2014-11-2201:00:00
2014-11-2416:30:00
2014-11-2708:00:00
2014-11-2923:30:00
2014-12-0215:00:00
2014-12-0506:30:00
2014-12-0722:00:00
2014-12-1013:30:00
2014-12-1305:00:00
2014-12-1520:30:00
2014-12-1812:00:00
2014-12-2103:30:00
2014-12-2319:00:00
2014-12-2610:30:00
2014-12-2902:00:00
2014-12-3117:30:00
2015-01-0309:00:00
2015-01-0600:30:00
2015-01-0816:00:00
2015-01-1107:30:00
2015-01-1323:00:00
2015-01-1614:30:00
2015-01-1906:00:00
2015-01-2121:30:00
2015-01-2413:00:00
2015-01-2704:30:00
2015-01-2920:00:00
numPassengers
NYC Taxi Data
0
10
20
30
40
50
60
70
80
90
100
0
5000
10000
15000
20000
25000
30000
35000
40000
45000
2014-09-1621:30:00
2014-09-1915:30:00
2014-09-2209:30:00
2014-09-2503:30:00
2014-09-2721:30:00
2014-09-3015:30:00
2014-10-0309:30:00
2014-10-0603:30:00
2014-10-0821:30:00
2014-10-1115:30:00
2014-10-1409:30:00
2014-10-1703:30:00
2014-10-1921:30:00
2014-10-2215:30:00
2014-10-2509:30:00
2014-10-2803:30:00
2014-10-3021:30:00
2014-11-0215:30:00
2014-11-0509:30:00
2014-11-0803:30:00
2014-11-1021:30:00
2014-11-1315:30:00
2014-11-1609:30:00
2014-11-1903:30:00
2014-11-2121:30:00
2014-11-2415:30:00
2014-11-2709:30:00
2014-11-3003:30:00
2014-12-0221:30:00
2014-12-0515:30:00
2014-12-0809:30:00
2014-12-1103:30:00
2014-12-1321:30:00
2014-12-1615:30:00
2014-12-1909:30:00
2014-12-2203:30:00
2014-12-2421:30:00
2014-12-2715:30:00
2014-12-3009:30:00
2015-01-0203:30:00
2015-01-0421:30:00
2015-01-0715:30:00
2015-01-1009:30:00
2015-01-1303:30:00
2015-01-1521:30:00
2015-01-1815:30:00
2015-01-2109:30:00
2015-01-2403:30:00
2015-01-2621:30:00
2015-01-2915:30:00
numPassengers Anomaly Score
NYC Marathon
Christmas
New Years
Snowstorm
Robust Random Cut Forests
Quick Summary
• Random forests (RF) define ensemble models;
• The cut in RCF corresponds to specific choice of partitioning;
• Take a set of points, compute bounding box;
• Choose an axis proportional to the length (biased), then choose an
uniform random cut in range;
• Recurse on both sides.
• Isolation Forests: Partition at random, dimensions unbiased;
• Why RCFs? Can maintain RCF tree distributions efficiently and do
so online as data is streaming in. Distance preserving.
Proceedings 33rd International Conference on Machine Learning, New York, NY, USA, 2016.
What we are going to see…
Random Cut Forests
Anomaly Detection
Density Estimation Forecasting
Semi-Supervised
Learning
Attribution &
Directionality
Explainable/Transparent/Interpretable ML
“If my time-series data with 30 features yields an unusually high anomaly
score. How do I explain why this particular point in the time- series is unusual?
[..] Ideally I’m looking for some way to visualize “feature importance” for a
specific data point.”
--- Robin Meehan, Inasight.com
What is Attribution?
It’s the ratio of the “distance” of the anomaly from normal.
(It’s a distance in space of repeated patterns in the data.)
What is Attribution?
AnomalyScore
NYC Taxi Ridership Data1
1Public Data: http://www.nyc.gov/html/tlc/html/about/trip_record_data.shtml
AnomalyScore
Explaining Anomalies
The Moving Example
A Fan/Turbine
1000 pts in each blade
Gaussian, for simplicity
Blades designed unequal
Rotate counterclockwise
3 special “query” points
100 trees, 256 points each
Anomaly Score at P1
What is going on at 90 degrees?
Blade overhead = Not an anomaly
All 3 Blades
Attribution
p1 is far away in x-coord most of the time
But what is happening to y?
x coordinate’s contribution for p1?
Directionality
Sharp transition when the blade
moves from above to below at p1!
Total score plummets.
Slowly rotating away
Total score remains high
Initial Density and 75 Degrees Rotation
Directions towards higher density.
Bends towards center!
Forecasting
Exhibit B: Forecasting using RCFs
Not just the next value!
Ability to “see past” anomalies
Auto-detect periodicity …
Forecasting implies missing value imputation!
Wait, this is just a sine wave … its easy ...
Maybe not…
Realistic Data?
ECG (one lead)
Periodicity unclear …
Shingle Size = 185
Test on hold out data
Paper in preparation!
A New Explanation for Anomalies?
“This point is an anomaly because it is 3x the forecast”.
Makes it easier to set triggers/alerts.
Semi-Supervised Learning on Data Streams
One Hour
Amazon.com
Orders per
Minute
In a long stream…
Proceedings of the 35th International Conference on Machine
Learning, Stockholm, Sweden, PMLR 80, 2018.
What we saw today…
Random Cut Forests
Anomaly Detection
Density Estimation Forecasting
Semi-Supervised
Learning
Attribution &
Directionality
Detecting Anomalies in
Streaming Graphs
Contributors To This Project
Roger Barga, Dhivya Eswaran, Gaurav
Ghare, Kapil Chhabra, Sudipto Guha,
Shiva Kasiviswanathan, Nina Mishra,
Gourav Roy, Joshua Tokle, and Tal
Wagner

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