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Data Science
joaquin vanschoren
WHAT IS DATA SCIENCE?
Hacking skills
Maths & StatsExpertise
Expertise
	

!
	

Maths & 	

Stats
Hacking skills	

!
!
!Danger	

zone!
Machine	

Learning
Research
Data	

Science
[Drew Conway]
(data) 	

science officer
Maths 	

& 	

Stats	

!
!
Hacking 	

skills	

!
!
!
	

!
	

Evil
	

	

	

Expertise
danger	

zone!
!
machine	

learning
!
James Bond	

villain
data	

science
outside	

committee	

member
identity	

thief
thesis	

advisor
office 	

mate
NSA
[Joel Grus]
– David Coallier
“Whenever you read about data science or data
analysis, it’s about the ability to store petabytes of data,
retrieve that data in nanoseconds, then turn it into a
rainbow with a unicorn dancing on it.”
THE HYPE
– Harvard Business Review
“Data Scientist: The Sexiest Job of the 21st Century”
THE REALITY
• You’ll clean a lot of data.A LOT	

• A lot of mathematics. Get over it	

• Some days will be long. Get more coffee	

• Not everything is about Big Data	

• Most people don’t care about data	

• Spend time finding the right questions
[David Coallier]
BIG DATA	

THE END OFTHEORY?
– Chris Anderson,WIRED
Out with every theory of human behavior, from linguistics to
sociology.Who knows why people do what they do?The point is
they do it… With enough data, the numbers speak for themselves.
All models
are wrong.
But some are
useful.
All models are
wrong, and
increasingly you
can succeed
without them.
Big data is a
step forward.
But our
problems are
not lack of
access to
data, but
understanding
them.
Data Scientific Method
[DJ Patil, J Elman]
START 	

WITH 	

A QUESTION
Based on an observation
START 	

WITH 	

A QUESTIONWhat (just) happened?	

Why did it happen?	

What will/could happen next?
ANALYSE 	

CURRENT	

DATA
Create an Hypothesis
CREATE
FEATURES,	

EXPERIMENT
Test Hypothesis
ANALYSE 	

RESULTS	

Won’t be pretty, repeat
LET DATA	

FRAME THE	

CONVERSATION
Data gives you the what 	

Humans give you the why
LET DATA	

FRAME THE	

CONVERSATION
Let the dataset 	

change your mindset
CONVERSE
• What data is missing? Where can
we get it?	

• Automate data collection	

• Clean data, then clean it more	

• Visualize data: the brain sees	

• Merge various sources of
information	

• Reformulate hypotheses	

• Reformulate questions
DATA SCIENCE	

TOOLS
We can't solve problems at the
same level of thinking with which
we've created them…
Probabilistic	

algorithms
When polynomial time 	

is just too slow
[1,54,853,23,4,73,…] Have we seen 73?
min H(1,54,853,…) < H(73) ?
min H2(1,54,853,…) < H2(73) ?
min H3(1,54,853,…) < H3(73) ?
MINHASHING
Bloom filters	

Find similar documents, photos, …
MapReduce
map
map
map
split
reduce
reduce
reduce
shuffle	

(remote read)
read
data(HDFS)
data(HDFS)
write
readread
worker nodes (local) worker nodes (local)
split1split2splitn
mapper	

node
reducer	

node
remote	

read
Mapper
<a,apple> <a’,slices>
Reducer
Input	

file
Intermediate 	

file (local)
Output	

file
<p,pineapple>
<p’,slices>
<a,apple>
<o,orange>
<a’,slices>
<o’,slices>
Input file Output fileIntermediate 	

file
split 0
split 1
split 2
1 mapper/split 1 reducer/key(set)
shufflesplit
map
map
map
split
reduce
reduce
reduce
shuffle	

(remote read)
read
data(HDFS)
data(HDFS)
write
readread
worker nodes (local) worker nodes (local)
split1split2splitn
map
map
map
split
reduce
reduce
shuffle + parallel sort	

(remote read)
read
data(HDFS)
data(HDFS)
write
readread
split1split2splitn
master node
assigns map/reduce jobs	

reassigns if nodes fail
Nearest bar
? nearest within distance d?
Input
graph
(node,label)
Nearest bar
Map
∀ , search graph with radius d
< ,{ ,distance} >
Input
graph
(node,label)
Nearest bar
Map
∀ , search graph
< ,{ ,distance} >
Shuffle/
Sort
by id
Input
graph
(node,label)
Nearest bar
Map
∀ , search graph
< ,{ ,distance} >
Input
graph
(node,label)
Shuffle/
Sort
by id
Reduce
< ,[{ ,distance},
{ ,distance}] >
-> min()
Output
< , >
< , >
marked graph
Sensor data
Vibration
Strain (longitudinal)
Strain (transverse)
Temperature
NOISE
MATHS
Convolution
signal
kernel
convolution
multiplied by 1:5 and delayed by 14 sample intervals.
Evidently, we have just described in words the following definition of discrete
convolution with a response function of finite duration M:
.r s/j Á
M=2
X
kD M=2C1
sj k rk (13.1.1)
If a discrete response function is nonzero only in some range M=2 < k Ä M=2,
where M is a sufficiently large even integer, then the response function is called a
finite impulse response (FIR), and its duration is M. (Notice that we are defining M
as the number of nonzero values of rk; these values span a time interval of M 1
sampling times.) In most practical circumstances the case of finite M is the case of
interest, either because the response really has a finite duration, or because we choose
to truncate it at some point and approximate it by a finite-duration response function.
The discrete convolution theorem is this: If a signal sj is periodic with period
N, so that it is completely determined by the N values s0; : : : ; sN 1, then its discrete
convolution with a response function of finite duration N is a member of the discrete
Fourier transform pair,
g h Á
Z 1
1
g. /h.t / d (12
e that g h is a function in the time domain and that g h D h g. It turn
the function g h is one member of a simple transform pair,
g h ” G.f /H.f / convolution theorem (12.0
ther words, the Fourier transform of the convolution is just the product o
vidual Fourier transforms.
The correlation of two functions, denoted Corr.g; h/, is defined by
Corr.g; h/ Á
Z 1
1
g. C t/h. / d (12.0
correlation is a function of t, which is called the lag. It therefore lies in the
ain, and it turns out to be one member of the transform pair:
Corr.g; h/ ” G.f /H .f / correlation theorem (12.0
COMPLEXITY
MATHS,AGAIN
scale space decomposition
signal
kernel 1
convolution 2
kernel 2
convolution 1
SCALE-SPACE
Baseline (σ64)
Traffic Jams (σ16 -σ64)
Slowdown (σ4 -σ16)
Vehicles (σ0 -σ4)
SCALE-SPACE	

DECOMPOSITION
VOLUME
MapReduce
145 sensors	

100Hz	

5GB/day	

2TB/year 	

50MB/s disk I/O
Reduce Reduce Reduce Reduce Reduce
Map Map Map MapMap
Build
windows
Build	

windows
Build
windows
Build
windows
Build
windows
Shuffle
Convolute Convolute Convolute Convolute Convolute
CONVOLUTION
CONVOLUTE-ADD
Map	

(convolute	

with 0-padding)
Reduce	

(add)
Add values in overlapping regions	

0 0
0 0
0 0
A A+B B B+C C
SEGMENTATION
• You don’t need 100Hz data for everything	

• Approximate signal with linear segments	

• Key points: 0-crossings of 1st, 2nd, 3rd derivative	

• Maths: derivative of smoothed signal =
convolution with derivative of kernel
1st, 2nd,3rd degree derivatives
signal
convolution
segmentation
SEGMENTATION RESULT
VISUALIZATION
Twitter data
TRACKING NEWS STORIES
Geospacial data
OPEN SOURCETOOLS
modelling, testing, prototyping
lubridate, zoo: dates, time series	

reshape2: reshape data	

ggplot2: visualize data	

RCurl, RJSONIO: find more data	

HMisc: miscellaneous	

DMwR, mlr: machine learning	

Forecast: time series forecasting	

garch: time series modelling	

quantmod: statistical financial trading	

xts: extensible time series	

igraph: study networks	

maptools: read and view maps
R
scientific computing
numpy: linear algebra	

scipy: optimization, signal/image processing, …	

scikits: toolkits for scipy	

scikit-learn: machine learning toolkit	

statsmodels: advanced statistic modelling	

matplotlib: plotting	

NLTK: natural language processing	

PyBrain: more machine learning	

PyMC: Bayesian inference	

Pattern:Web mining	

NetworkX: Study networks	

Pandas: easy-to-use data structures
PYTHON
CouchDB
OTHER
D3.js
@joavanschoren
joaquin.vanschoren@gmail.com

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