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Page 1: Mind the Gap? - Willkommen an der ZHAW · ARIMA SARIMAX Multiple Regression Forecast Combination (Ensembles) Mind the Gap in Data Science ... 2000 4000 6000 8000 1 7 10 13 16 19 22

Mind the Gap in Data Science©2016 Sven F. Crone | All rights reserved. page 1

Mind the Gap?

Hype-Cycle versus Business Reality in Data Science (a forecasting perspective)

Sven F. Crone

16/09/2016

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Mind the Gap in Data Science©2016 Sven F. Crone | All rights reserved. page 2

• The Hype?• Gartner’s Hype Cycle over time

• The Gap?• Is there a Gap?• If so, how large is it?

• How to close the Gap?• More research?• More applications?

Mind the Gap?

Agenda

Hype-Cycle for Emerging Technologies

New Technologies make bold promises

how to discern the hype

from what's commercially viable?Should you make an early move?

Take a moderate approach?

Wait for further maturation?

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Hype-Cycle for Emerging Technologies

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We are on

the plateau

of productivity!

Are we all on

the plateau

of productivity?

In 2015 Gartner dropped Big Data,

Analytics, and Data Science!

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Hype Cycle for Advanced Analytics

… looks like we are

back in the hype!

(and have 5 more years)

http://www.kdnuggets.com/2016/09/poll-algorithms-used-data-scientists.html/2

The average 2016 respondent used 8.1 algorithms, a big increase vs a

similar poll in 2011.

unclear which TS algorithms are used?

844 voters

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Brown (1956)

Box & Jenkins (1970)

Rumelhart & McClelland (1986).

“the number of components in integrated circuits (IC) has doubled

every year from its invention in 1958 until 1965” predicted that the trend would continue "for at least ten years"

Moore (1965)

Breiman (1996)

Breiman

(2001)

Freund & Schapire

(1997)

Boser, Guyon, and Vapnik (1992)

Harvey (1989)

Quinlan (1986)

Hochreiter & Schmidhuber

(1997)

“Data Science” 1997

“Data Mining” 1995

“Analytics” 200s

Cover & Hart (1967)

• The Hype?– Gartner’s Hype Cycle over time

• The Gap?• Is there a Gap?• If so, how large is it?

• How to close the Gap?• More research?• More applications?

Mind the Gap?

Agenda

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Evidence from Forecasting Practice?

Practitioner Survey• Target group: demand planning & forecasting professionals (in manufacturing)• LCF Mailing list, forecasting lists / blogs (ISF, SAS), 100s of

LinkedIn Groups, 2000+ personalised LinkedIn invites

540 responses (representative) 200 valid surveys in manufacturing

Robust Questionaire Design• Pilot study in 2011 (to ensure validity)• Final pre-version pre-tested with 18 FMCG forecasters• Conducted January 2012-August 2012• Validity for large manufacturers active in the FMCG / CPG industry

Evidence from Forecasting Practice?

Use of judgment introduces (cognitive) biases

Use of judgment limits automation!

(i.e. “Statistics” aka Data Science or “Gut-Feel”?)

70% of industry forecasters

employ some form of judgment

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Evidence from Forecasting Practice?

43% use simplest methods only for level time series

(28% MA+15% Naive)

43% use simplest methods only for level time series

(28% MA+15% Naive)

75% use simplest methods only for level time series (32% ETS + 28% MA+15% Naive)

very limited use of post 1980s

methods

Use of methods developed & implemented in the 1950s-1960s

Only very few methods use explanatory

variables

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Does your vehicle fleet look like this?

BMW Isetta (1956-1962)

Austin Healey 3000 (1959)

Working with IBM type 704 electronic data

processing machine used for making computations for aeronautical research.

21 March 1957, NASA

Does your hardware look like this?

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Do your employees look like this?

Then why do your

algorithms look like this?

𝑳𝒕 = 𝜶 ∙𝒀𝒕𝑺𝒕−𝒔

+ 𝟏 − 𝜶 ∙ 𝑳𝒕−𝟏 + 𝑻𝒕−𝟏

𝑻𝒕 = 𝜷 ∙ 𝑳𝒕 + 𝑳𝒕−𝟏 + 𝟏− 𝜷 ∙ 𝑻𝒕−𝟏

𝑺𝒕 = 𝜸 ∙𝒀𝒕𝑳𝒕+ 𝟏− 𝜸 ∙ 𝑺𝒕−𝒔

𝑭𝒕+𝒉 = 𝑳𝒕 + 𝑻𝒕 ∙ 𝒉 ∙ 𝑺𝒕−𝒔+𝒉

Enos @ Mercury-Atlas 5

Juri Gararin

John F. Kennedy is 35th President of the USA

Pigs‘s bay invasion

Then why do your

algorithms look like this?

𝑳𝒕 = 𝜶 ∙𝒀𝒕𝑺𝒕−𝒔

+ 𝟏− 𝜶 ∙ 𝑳𝒕−𝟏 + 𝑻𝒕−𝟏

𝑻𝒕 = 𝜷 ∙ 𝑳𝒕 + 𝑳𝒕−𝟏 + 𝟏− 𝜷 ∙ 𝑻𝒕−𝟏

𝑺𝒕 = 𝜸 ∙𝒀𝒕𝑳𝒕+ 𝟏− 𝜸 ∙ 𝑺𝒕−𝒔

𝑭𝒕+𝒉 = 𝑳𝒕 + 𝑻𝒕 ∙ 𝒉 ∙ 𝑺𝒕−𝒔+𝒉

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𝑳𝒕 = 𝜶 ∙𝒀𝒕𝑺𝒕−𝒔

+ 𝟏− 𝜶 ∙ 𝑳𝒕−𝟏 + 𝑻𝒕−𝟏

𝑻𝒕 = 𝜷 ∙ 𝑳𝒕 + 𝑳𝒕−𝟏 + 𝟏− 𝜷 ∙ 𝑻𝒕−𝟏

𝑺𝒕 = 𝜸 ∙𝒀𝒕𝑳𝒕+ 𝟏− 𝜸 ∙ 𝑺𝒕−𝒔

𝑭𝒕+𝒉 = 𝑳𝒕 + 𝑻𝒕 ∙ 𝒉 ∙ 𝑺𝒕−𝒔+𝒉

Enos in Mercury-Atlas 5

Juri Gararin in space

John F. Kennedy is 35th President of the USA

US in Pigs‘s bay

New Tools!

“It can drive a 6-D nail thru a

2 X 4 at 200 yards”

New Tools?

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Brown (1956)

Box & Jenkins (1970)

Rumelhart & McClelland (1986).

Breiman (1996)

Breiman

(2001)

Freund & Schapire

(1997)

Boser, Guyon, and Vapnik (1992)

Pearl & Reed (1920)!

Harvey (1989)

„Maturity“

Today

Quinlan (1986)

Hochreiter & Schmidhuber

(1997)

Gap?

How to measure

„algorithm maturity“?

dog has ø10 years life expectancy

= 5.6 generations

= 403 dog years

IT-Hardware §253 Abs. 3 Satz 1 HGB

Mainframes: ø7 years depreciation

Workstations: ø3 years

=11.2 generations

= 784 IT years

1:1 in human years?

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• The Hype?– Gartner’s Hype Cycle over time

• The Gap?• Is there a Gap?• If so, how large is it?

• How to close the Gap?• More research?• More applications?

Mind the Gap?

Agenda

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ISI Web of Science ti=((neural netw*) or (perceptron*) or (deep learn*)) and (forecast* or (time series*))

3900 papers on Neural Networks (only in forecasting, 117,923 in total)

377 papers on Exponential Smoothing

ISI Web of Science ti=(exponential smoothing)

5,657 in topic

327,693 in topic

Upgrade to 1970s technology … ?

Siemens System 4004

Intel 4004 (4-bit bus,

108-KHz CPU chip, 1971)

OCC1 Osborne 1

Personal Business Computer

busicom calculator 141P

(Intel 4004 powered Datapoint 2200 (1972)

ARIMA

SARIMAX

Multiple Regression

Forecast Combination (Ensembles)

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Upgrade to 1980s technology … ?

Advanced Exponential Smoothing

GETS Multiple Regression, SCANPRO

Double & Triple Seasonality ETS

Bootstrapping, zero-inflated demand

Upgrade to 1990s technology … ?

State space models

Combination (Ensembles)

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Upgrade to 2000s technology … ?

Artificial

Neural

Networks

A Network of NeuronsNew Tools

Each MLP calculates a NARX(p)-process

0

50

100

150

200

... ...

yt

yt-1

u1

un+m+1

un+3

un+2

un+1

u2

yt-2

yt-n-1

u3

un

...

un+m

un+m+2

un+m+h

θ n+1

q n+2

q n+3

q n+m

q n+m+1

q n+m+2

q n+m+h...

...

ty

ty

ˆt hy

fu(·)

fu(·)

fu(·)

fu(·)

fu(·)

fu(·)

fu(·)

1ˆ , ,...,t h t t t n t hy f x x x

Multilayer Perceptrons Class of statistical methods for (nonlinear auto-)regression Combination of simple processing units complex system behaviour

Squared Error Loss SE(et)

2 1 1 2ep

2

1.5

1

0.5

0.5

1

1.5

2

epR

R 4

R 2 SE e

R 1 AE e

Verlustfunktion

Multilayer

Perceptron

(MLP)

NARX(p)

process

NARX(p)

process

NARX(p)

process

NARX(p)

process

Weighted

average of

4 NARX(p)

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Bootstrap and Aggregating

1)

01234

1 4 7 10 13 16 19 22

Fre

qu

en

cy

0

5000

10000

Val

ue

M1(x)S’1(x,y)

0

5000

10000

1 4 7 10 13 16 19 22

0

5000

10000

Val

ue

0

1

2

3

4

1 4 7 10 13 16 19 22

Fre

qu

en

cy

2)

M2(x)S’2(x,y)

0

5000

10000

1 4 7 10 13 16 19 22

3)

01234

1 4 7 10 13 16 19 22

Fre

qu

en

cy

0

5000

10000

Val

ue

M3(x)S’3(x,y)

0

5000

10000

1 4 7 10 13 16 19 22

Combine

0

2000

4000

6000

8000

1 4 7 10 13 16 19 22

Bagged output:

Me(x) = M1(x) + M2(x) + ... + Mk(x)

k

18-Aug-2007 01-Dec-2007 15-Mar-2008 28-Jun-2008 11-Oct-2008 24-Jan-2009 09-May-2009 22-Aug-2009 05-Dec-20090

500

1000

1500

2000

2500

3000

3500Training Out-of-Sample

Time Series: 5 | Product: 1080215 (Trend: 0, Season13: 0, Season52: 1)

f(X) = +125.37*Constant +0.71*Lag1 +0.07*Lag2 +610.76*Adcode: 401 +617.24*Discount -1569.46*Xmas -696.48*Xmas+1 +1209.29*Xmas-2 -1581.59*Easter-1 -894.91*Labour

Data

NN-R

Regression

Fit appropriate forecasting models to:

• Predict future value

• Understand effect (elasticity) of each exogenous factor affect forecasts

Retailing and promotional modelling

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Post-regression

Simulated time series of AR(3)X with weather & price variables

Models nonlinear interactive Demand-Price Elasticity

Reality is highly nonlinear, especially when considering multiple variables.

Neural networks (and other advanced nonlinear causal models) are a way forward

20 40 60 80 1000

0.5

1

1.5

2

2.5

3

3.5x 10

4

Xt

Ft

Actual

Regression

NN

0 100 200 300 400 500 600 700 800 900500

1000

1500

Time

Units

0 100 200 300 400 500 600 700 800 9000

100

200

300

Time

Price

20 40 60 80 100 120 140 160 180 2000

2000

4000

6000

Time

Units

20 40 60 80 100 120 140 160 180 2000

10

20

30

40

Time

Tem

pera

ture

0 10 20 30-2000

0

2000

4000

6000

8000

Xt

Ft

Actual

Regression

NN

4060

80100

120140

-10

010

2030

40-2

0

2

4

6

x 104

Xt2X

t3

Ft5

Actual

Regression

NN

Improved Forecasting Algorithms

Median sMAPE Train Valid Test

Seasonal Linear Regression (35B) 38.41609 16.61117 18.20583

MLP AR, SinCos + Selection 17.82759 11.73440 9.13354

Improvement -20.5885 -4.87677 -9.07229

Improvement in % -53.59% -29.36% -49.83%

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Improved Model Selection: Human expert vs. system?

sMAPE Test Errors in %Prior

ModelIF

ModelChange %

pointsChange in %

# items

Canada 40,7 33,8 -6,9 -16,9% 47Germany 55,4 51,7 -3,7 -6.8% 155France 43,7 42,6 -1,2 -2.7% 262Greece 50,9 49,4 -1,7 -3.3% 196Italy 42,7 39,9 -2,8 -6.5% 175Netherlands 41,0 38,9 -2,1 -5.1% 154Poland 55,2 47,1 -8,1 -14.7% 78South Africa 37,3 35,9 -1,4 -3.7% 36Average -7.5%

• Automatic Model Selection able to improve slightly on Expert

• Automatic Model Selectio n reduces work significantly

How to define if things “look” similar?

5 10 15 20 250

200

400

600

800

1000

1200

All time series with up to 27 months of observations

Hard to extract useful information

1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 30

200

400

600

800

1000

1200

1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 30

200

400

600

800

1000

1200

No additional information

Find time series that

behave similarly

1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 30

200

400

600

800

1000

1200

Self-Organising Maps

clustering can do it

1 2 30

500

1000

1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 30

200

400

600

800

1000

1200

1 2 30

500

1000

1 2 30

500

1000

1 2 30

500

1000

Focus on the first three months (new products)

New Product Clustering

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Outlier Identification

02/04/01 04/04/01 06/04/01 08/04/01 10/04/01 12/04/01 14/04/01 16/04/01 18/04/01 20/04/01 22/04/01 24/04/01 26/04/01 28/04/01 29/04/015

6

7

8

9

10x 10

4

Date

Load

Week 1 Week 2 Week 3 Week 4

2 4 6 8 10 12 14 16 18 20 22 24

4

6

8

10

12

x 104

Hour

Normal

Outlier

1. Outlying daily patterns• Functional outliers - in level & shape

• Predictable reasons: Bank Holidays

• Unpredictable: Natural disasters, hurricanes, Industrial

actions, etc

2. Outlying Spikes within daily pattern• Special occurrences during normal day

Newer (& better?)

algorithms exits!

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Extend your

Tool Box!

Top 10 algorithms in data mining

Wu, Kumar, Quinlan, Ghosh, Yang, Motoda, Hand, Steinberg (2008)

Artificial Neural Networks,

Support Vector Regression

C4.5, k-Means, SVM, Apriori, EM,

PageRank, AdaBoost, kNN,

Naive Bayes, and CART

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Ok for some tasks!

Old Tools!

Not most efficient

for all tasks!

Worlds largest tree-house – 10 stories tall

Old Tools!

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New Tools!

Useless …

for the task!

New Tools!

Useless.

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Beware!

Exponential

Smoothing in

the cloud … is

still Exponential

Smoothing!

New Old Tools!

“Buying the most expensive

Hammer …

…does not make you

the best Carpenter!”

Beware!

Crafstman

or Novice?

(analyst &

IT team … )

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APO DP: 78% (45% ETS + 22% Av+ 11% Naïve) use simple methods!

APO drives use of simpler methods than other software packages

Study Results (all industries)Use of Forecasting Methods

Exp.Smoothing is the single most used method

family in APO DP

Only marginal use of Linear Regression in SAP APO DP

Excel drives useof even simpler

methods

(low-cost) specialist software

drives use ofcomplex methds

Ask yourself …

Can you afford

to ignore 60 years

of progress?

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Artificial Intelligencemeets Forecasting.

Enhanced alorithms & model selectionfor

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Take aways

• The hype is real– … but it‘s just a hype you can use!

• The gap is substantial. – Companies are slow adopters to algorithms– (not all) Software companies are innovators

• The potential is substantial– High opportunities from low-cost pilot studies– Try new algorithms!

• Neural Networks• Support Vector Regression• Decision Trees• K-Nearest Neighbours• …