PowerPoint-presentatie

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A Core Course on Modeling
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Introduction to Modeling 0LAB0 0LBB0 0LCB0
0LDB0 AUD 3 Kees van Overveld c.w.a.m.v.overveld_at_
tue.nl AUD 6 Tijn Borghuis v.a.j.borghuis_at_tue.nl
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A Core Course on Modeling
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What is the mathematical model of a yoyo?
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A Core Course on Modeling
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What is the mathematical model of a yoyo?
Answer ?JJ2?D?T
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A Core Course on Modeling
Week 1- No Model Without a Purpose
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Lesson 1 no model without a purpose
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A Core Course on Modeling
Week 1- No Model Without a Purpose
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• Two types of purposes
• I want to know something
• I want to achieve something

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A Core Course on Modeling
Week 1- No Model Without a Purpose
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• Two types of purposes
• I want to know something research
• I want to achieve something design

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 1. Why does a yoyo ...
• climb the rope?
• go down slower than with 9.8 m/s2?
• attract so much fans?
• Explanation why is something as it is?

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 2. When will the yoyo ...
• reach its highest point?
• stop yoyoing?
• get out of fashion?
• Prediction (1) at what time will X happen?

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 3. What will happen if ...
• I pull up the rope later?
• the diameter of the yoyo increases?
• a new toy comes to the market?
• Prediction (2) what will happen if X?

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 4. How can I organize data?
• r1(cm) r2(cm) m(kg) a(m/s2)
• 2.5 ? 0.1 5 ? 0.2 0.2 ? 0.05 3.3 ? 0.2
• 2.0 ? 0.1 8 ? 0.1 0.3 ? 0.05 1.4 ? 0.5
• 2.5 ? 0.05 5.1?0.1 0.5 ? 0.02 3.2 ? 0.1
• 3.0 ? 0.2 6 ? 0.1 0.3 ? 0.05 3.2 ? 0.4
• 1.0 ? 0.1 10 ? 0.2 0.6 ? 0.05 0.2 ? 0.05
• 5 ? 0.1 1 ? 0.1 0.1 ? 0.05 9.8 ? 0.3
• 4 ? 0.2 4 ? 0.2 0.3 ? 0.05 7.4 ? 0.2
• ....

r2
r1
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 4. How can I organize data?
• r1(cm) r2(cm) m(kg) a(m/s2) r2/r1
• 2.5 ? 0.1 5 ? 0.2 0.2 ? 0.05 3.3 ? 0.2 2
• 2.0 ? 0.1 8 ? 0.1 0.3 ? 0.05 1.4 ? 0.5 4
• 2.5 ? 0.05 5.1?0.1 0.5 ? 0.02 3.2 ? 0.1 2
• 3.0 ? 0.2 6 ? 0.1 0.3 ? 0.05 3.2 ? 0.4 2
• 1.0 ? 0.1 10 ? 0.2 0.6 ? 0.05 0.2 ? 0.05 10
• 5 ? 0.1 1 ? 0.1 0.1 ? 0.05 9.8 ? 0.3 0.2
• 4 ? 0.2 4 ? 0.2 0.3 ? 0.05 7.4 ? 0.2 1
• ....

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 4. How can I organize data?
• a(m/s2) r2/r1
• 3.3 ? 0.2 2
• 1.4 ? 0.5 4
• 3.2 ? 0.1 2
• 3.2 ? 0.4 2
• 0.2 ? 0.05 10
• 9.8 ? 0.3 0.2
• 7.4 ? 0.2 1
• Compression how to compactly represent
  data?

a (m/s2)
2 4 6 8 10
a 2g / (2r22/r12)
r2/r1
2 4 6 8 10
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 5. Focus on what is important
• Is the shape important?
• Is the rope quality important?
• Is the brand important for the nr. sold yoyos?
• Abstraction restrict to essentials

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 6. Relate similar things
• In what respect does a yoyo resemble a bouncing
  ball?
• In what respect does a yoyo resemble a hula hoop?
• In what respect does a yoyo hype resemble any
  other hype?
• Unification find commonalities among different
  things

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 7. Investigate ...
• ... the changing force in the rope
• ... the importance of friction
• ... how yoyo-popularity varies with the season
• Analysis seek relations within the modeled
  system

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 7. Investigate ...
• Analysis seek relations within the modeled
  system

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 8. Verify ...
• ... that the rope will be strong enough
• ... that energy is conserved
• ... that marketing laws apply to yoyo sales
• Verification ascertain the truth of something

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to research ?? ? ? ?
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• 9. Inform people ...
• ... how a yoyo works
• ... how to set up yoyo experiments
• ... how yoyo hype spreads
• Communication give comprehensible information

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to design ?? ? ? ?
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to design ?? ? ? ?
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• 1. What options exist for ...
• ... shapes of yoyos
• ... tricks with yoyos
• ... marketing strategies to spawn hypes
• Exploration make inventory of options

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to design ?? ? ? ?
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• 2. How to decide ...
• ... what diameters to have yoyo rise more than 1
  m
• ... what mass to have a stable yoyo
• ... what marketing price to get turnover better
  than X
• Decision what intervention needed to achieve
  goal

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to design ?? ? ? ?
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• 3. How to optimize ...
• ... diameters to have yoyo rise as far as
  possible
• ... mass to have yoyo as stable as possible
• ... marketing price to get turnover as large as
  possible
• Optimization what intervention give maximal
  result

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to design ?? ? ? ?
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• 4. How to instruct ...
• ... manufacturer to assemble a yoyo
• ... yoyo kid to perform trick X
• ... shop owner to put yoyos on display
• Specification ensure something will be as it
  should

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to design ?? ? ? ?
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• 5. How to ...
• ... have a robot operate a yoyo
• ... have an intelligent yoyo stabilize itself
• ... have shop order yoyos dependent on market
  demand
• Control adapting behavior to circumstances

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Purposes related to design ?? ? ? ?
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• 6. How to ...
• ... have a yoyo simulator help learning tricks
• ... have a hype simulator train sales people
• ...
• Train familarize trainees with a system

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Various Kinds of Modeling Purposes ? ?
? ? ?
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• Purposes from research
• Explanation
• Prediction (2)
• Compression
• Abstraction
• Unification
• Analysis
• Verification
• Communication (Documentation)

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Various Kinds of Modeling Purposes ? ?
? ? ?
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• Purposes from design
• Exploration
• Decision
• Optimization
• Specification
• Steering and Control
• Training

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Various Kinds of Modeling Purposes ? ?
? ? ?
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• Q Why is purpose important for the modeler?
• A The answer to almost any question in modeling
  will be check your purpose

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? How models work ? ? ? ? ?
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• Question
• Data, Measurements
• Calculations, Approximations
• Conclusion
• Consequences

• Question
• Data, Measurements
• Calculations, Approximations
• Conclusion
• Consequences

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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Modeling Approaches material /
immaterial ? ? ? ? ?
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19th century brain model, Boerhaave Museum
20th century brain model (Wang Chiew,
UofCalgary, 2010)
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Modeling Approaches static / dynamic ?
? ? ? ?
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Modeling Approaches continuous /
discrete ? ? ? ? ?
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Modeling Approaches numerical /
symbolic ? ? ? ? ?
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3 x 5 3 x 6 3 x (56) 33
a x b a x c a x (bc) ?
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Modeling Approaches geometric / non
geometric ? ? ? ? ?
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Modeling Approaches deterministic /
stochastic ? ? ? ? ?
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Modeling Approaches calculating /
reasoning ? ? ? ? ?
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Modeling Approaches black box/ glass
box ? ? ? ? ?
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Modeling Approaches - overview ? ? ? ? ?
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Material Immaterial Static Dynamic Continuous
Discrete Numerical Symbolic Geometric
Non-geometric Deterministic Stochastic Calculati
ng Reasoning Black box Glass box
typically, several of these dimensions are
relevant for any given model
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? ? Modeling Approaches - overview ? ? ? ? ?
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dynamical systems
data modeling
process modeling
modling from scratch
Material Immaterial Static Dynamic Continuous
Discrete Numerical Symbolic Geometric
Non-geometric Deterministic Stochastic Calculati
ng Reasoning Black box Glass box
M Im St Dy Co Di Nu Sy Geo Ng Det Sto Cal Rea Bb
Gb
M Im St Dy Co Di Nu Sy Geo Ng Det Sto Cal Rea Bb
Gb
M Im St Dy Co Di Nu Sy Geo Ng Det Sto Cal Rea Bb
Gb
M Im St Dy Co Di Nu Sy Geo Ng Det Sto Cal Rea Bb
Gb
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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http//www.visade.nl/nieuws/2008/mailing__de_verke
erde_volgorde
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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context ? initial problem
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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sometimes, all modeling phases may be skipped
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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sometimes, the formal phases may be skipped
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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formulate purpose
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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formulate purpose
identify entities
choose relations
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
47
formulate purpose
identify entities
choose relations
obtain values
formalize relations
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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formulate purpose
identify entities
choose relations
obtain values
formalize relations
operate model
obtain result
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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formulate purpose
identify entities
choose relations
obtain values
formalize relations
operate model
obtain result
present result
interpret result
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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formulate purpose
identify entities
choose relations
obtain values
formalize relations
r e f l e c t i n g
operate model
obtain result
present result
interpret result
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
51
formulate purpose
identify entities
choose relations
obtain values
formalize relations
operate model
obtain result
present result
interpret result
52
A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
52
formulate purpose
identify entities
choose relations
obtain values
formalize relations
operate model
obtain result
present result
interpret result
53
A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
53
formulate purpose
identify entities
choose relations
obtain values
formalize relations
operate model
obtain result
present result
interpret result
54
A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
54
formulate purpose
identify entities
choose relations
obtain values
formalize relations
operate model
obtain result
present result
interpret result
55
A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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formulate purpose
identify entities
choose relations
obtain values
formalize relations
operate model
obtain result
present result
interpret result
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? ? The modeling process ? ? ? ?
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Why is the modeling process relevant?
image http//funnyjunk.com/comment/anonymous/cont
ent/4097630/-5/1/parent_id/20/3
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? Summary ? ? ? ?
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• A model ? clearly defined purpose
• purposes are explanation, prediction (two
  cases!), compression, abstraction, unification,
  communication, documentation, analysis,
  verification, exploration, decision,
  optimization, specification, training, steering
  and control.
• Modeling dimensions
• material immaterial does the model have a
  physical component?
• static dynamic does time play a role?
• continuous - sampled - discrete 'counting' or
  'measuring'?
• numeric - symbolic manipulating numbers or
  expressions?
• geometric - non-geometric do features from 2D or
  3D space play a role?
• deterministic - stochastic does probability play
  a role?
• calculating - reasoning rely on numbers or on
  propositions?
• black box - glass box start from data or from
  causal mechanisms?
• Modeling is a process involving 5 stages
• define establish the purpose
• conceptualize in terms of concepts, properties
  and relations
• formalize in terms of mathematical expressions
• execute running the model to obtain an outcome
• conclude adequate presentation and interpretion

after the party
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? Study Guide ? ? ? ?
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• What next
• Come to lectures (presentations lecture
  support)
• Self study (presentations self study)
• For details lecture notes
• For self-testing questions in lecture notes
• For quick reference glossary / index
• For details on mathematics relation wizard and
• function selector (week 4)

after the party
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? Study Guide ? ? ? ?
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• Homework
• Assignment announced on Tuesday
• Find the assignment at take home assignment
• Every take home assignment contains an example
  elaboration
• Submission deadline Thursday 2359
• Submissions must be PDF to PEACH
• Identification (name, ID, major) on page 1 and
  nothing else
• Rest must be anonymous

after the party
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? Study Guide ? ? ? ?
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• Peer Reviewing
• Collect review bundle from PEACH review
  assignment
• Review assistance review assistance
• Typically, you receive 5 assignments to review
• Scores number on a scale 0 50
• Ranking put works in order, best (top) to worst
  (bottom)
• Submit reviews to PEACH deadline Sunday 2359

after the party
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? Study Guide ? ? ? ?
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• Group assignment
• visit specific lectures (Wednesday or Friday)
• study specific material
• (different for 0LAB, 0LBB, 0LCB, 0LDB)
• meetings with supervisors
• write report using report template
• 3 feedbacks, based on assignment rubrics

after the party
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? Study Guide ? ? ? ?
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• Marking
• 30 average result of take home assignments
• 10 quality of reviewing
• 60 group assignment
• 10 first feedback
• 10 second feedback
• 40 final feedback

after the party
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A Core Course on Modeling
Week 1- No Model Without a Purpose
? ? ? Study Guide ? ? ? ?
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• Recommended time spending
• 2 h/w 7 x 2 14h generic lectures or study
  self-study presentations
• 1 h/w 7 x 1 7h studying, self-testing
• 3 h/w 7 x 3 21h take home assignment
• 1.5 h/w 7x1.5 ? 11h peer reviewing
• 2 h/w 7 x 2 14h specific lectures
• 1 h/w 7 x 1 7h studying
• 1 h/w 8 x ? ? 6h meetings with supervisors
• 7 h/w 8 x 7 56h group work
• ----------
• 136 h ? 5 EC

after the party