Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics...

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[email protected] informatics.indiana.edu/rocha/academics/i501/ INDIANA UNIVERSITY Informatics luis rocha 2017 I501 introduction to informatics introduction to informatics lecture 18

Transcript of Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics...

Page 1: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

Informatics luis rocha 2017

I501introduction

to informatics

introduction to informaticslecture 18

Page 2: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

introduction to informatics

Participation: 15%. class discussion, especially about readings engagement in class

Paper presentation and handout: 15% Covering key paper points, handling

discussion Think-Pair-Share

Black Box assignments: 40% 2 assignments during the semester.

15% , Assignment I: 20% , Assignment II: Due November 15

GRFP Research proposal: 30% Elevator pitch and proposal

due December 8, 2014

evaluation

Page 3: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Due October 11th

Focus on uncovering quadrants using data

collection and induction.

Propose a formal model or algorithm of what each quadrant is doing. Analyze, using

deduction, the behavior of this algorithm.

Q1 Q2

Q3 Q4

The Black Box: Due October 11th, 2017

Page 4: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Much observation And thinking And videos

overall observations

Q1 Q2

Q3 Q4

Clara, Andrew, Nicholas & StephenGroup 1

Page 5: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Much observation And thinking And videos

Define language and terminology of observation Iterations/steps, cells, quadrants,

states/colors, etc.

overall observations

Q1 Q2

Q3 Q4

Clara, Andrew, Nicholas & StephenGroup 1

Sirag, Swapna, Vincent, LoganGroup 3

Page 6: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Much observation And thinking And videos

Define language and terminology of observation Iterations/steps, cells, quadrants,

states/colors, etc.

overall observations

Q1 Q2

Q3 Q4

Clara, Andrew, Nicholas & StephenGroup 1

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Page 7: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Much observation And thinking And videos

Define language and terminology of observation Iterations/steps, cells, quadrants,

states/colors, etc. At start iteration

Different each time States (numbers/colors) uniformly

distributed All states in similar proportions

Chi-square or Kolmogorov–Smirnov test goodness of fit ???

overall observations

Q1 Q2

Q3 Q4

Clara, Andrew, Nicholas & StephenGroup 1

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Cassie, Gianpaolo, Rosemary & VincentGroup 5

Page 8: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Much observation And thinking And videos

Define language and terminology of observation Iterations/steps, cells, quadrants,

states/colors, etc. At start iteration

Different each time States (numbers/colors) uniformly

distributed All states in similar proportions

Chi-square or Kolmogorov–Smirnov test goodness of fit ???

With iterations Up to 1 change per quadrant

4 in total Randomness/stochasticity

“because moving back and forth a single time step can result in different pixel transitions.”

overall observations

Q1 Q2

Q3 Q4

Clara, Andrew, Nicholas & StephenGroup 1

Zackary, Patrick, & FilipGroup 4

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Cassie, Gianpaolo, Rosemary & VincentGroup 5

Page 9: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Results are published Anyone can now use shared

knowledge Citing sources

Data should be shared Collected up to now only Cited

Impressive data collection Beware of data overkill

Deduction from micro- and macro-level organization Direct visualization techniques

and observations powerful

Data collection

Page 10: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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INDIANAUNIVERSITY

I501introduction

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Informatics luis rocha 2017

Assignment I

Final state Does not depend

of n step

Dynamics observations

Jayati, Lucas, Stephen & KaichengGroup 2

Page 11: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Final state Does not depend

of n step state distributions in

time Aggregate

measure of activity per quadrant Quadrants very

distinguishable

Dynamics observations

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Page 12: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Final state Does not depend

of n step state distributions in

time Aggregate

measure of activity per quadrant Quadrants very

distinguishable

Dynamics observations

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Page 13: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Final state Does not depend

of n step state distributions in

time Aggregate

measure of activity per quadrant Quadrants very

distinguishable

Dynamics observations

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Page 14: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Final state Does not depend

of n step state distributions in

time Aggregate

measure of activity per quadrant Quadrants very

distinguishable Converges

when? Better

statistics will help decide model alternatives

Varying observations about final behavior Attractors? Distributions of

cell states

Dynamics observations

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Page 15: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Final state Does not depend

of n step state distributions in

time Aggregate

measure of activity per quadrant Quadrants very

distinguishable Converges

when? Better

statistics will help decide model alternatives

Varying observations about final behavior Attractors? Distributions of

cell states Entropy!

Dynamics observations

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Page 16: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Final state Does not depend

of n step state distributions in

time Aggregate

measure of activity per quadrant Quadrants very

distinguishable Converges when?

Better statistics will help decide model alternatives

Varying observations about final behavior Attractors? Distributions of

cell states Entropy! “Inter-run Cell

Entropy”! Surprise as to

what other state cells change to

Dynamics observations

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Page 17: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Final state Does not depend

of n step state distributions in

time Aggregate

measure of activity per quadrant Quadrants very

distinguishable Converges when?

Better statistics will help decide model alternatives

Varying observations about final behavior Attractors? Distributions of

cell states Entropy! “Inter-run Cell

Entropy”! Surprise as to

what other state cells change to

Average in time demonstrates initial random state

Dynamics observations

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Page 18: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Does not die off Favors lower states (0, 1 , 2…)

Quadrant 3

Q3

Zackary, Patrick, & FilipGroup 4

Page 19: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Does not die off Favors lower states (0, 1 , 2…)

but state 9 more prevalent than others (7th most prevalent)

Quadrant 3

Q3

Zackary, Patrick, & FilipGroup 4

Clara, Andrew, Nicholas & StephenGroup 1

Page 20: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Does not die off Favors lower states (0, 1 , 2…)

but state 9 more prevalent than others (7th most prevalent)

All cells doing same thing?

Quadrant 3

Q3

Zackary, Patrick, & FilipGroup 4

Clara, Andrew, Nicholas & StephenGroup 1

Sirag, Swapna, Vincent, LoganGroup 3

Page 21: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Does not die off Favors lower states (0, 1 , 2…)

but state 9 more prevalent than others (7th most prevalent)

All cells doing same thing? A proposed model

Quadrant 3

Q3

Zackary, Patrick, & FilipGroup 4

Clara, Andrew, Nicholas & StephenGroup 1

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Page 22: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Does not die off Favors lower states (0, 1 , 2…)

but state 9 more prevalent than others (7th most prevalent)

All cells doing same thing? A proposed model

What does it do? Statistics from data What can cause this type of random behavior? Does it fit known processes?

Serial correlation and goodness of fit tests

Quadrant 3

Q3

Zackary, Patrick, & FilipGroup 4

Clara, Andrew, Nicholas & StephenGroup 1

Sirag, Swapna, Vincent, LoganGroup 3

Jayati, Lucas, Stephen & KaichengGroup 2

Page 23: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Random probability of cell being picked for transition?

Not yet validated No transitions from 0

P(0 -> j)=0 Best to report the support for this assertion

Ratio of transitions to 0 to transitions to other states changes day to day !!!???

Statistically significant? Test further?

states behave differently Transition to 0 most frequent

Quadrant dies off When? Compute statistics to differentiate models

Even numbers can only transition to other even numbers Odd numbers transition to any other numbers

Except 5 only transitions to 0 And to itself?

Conclusion must be justified from observation How does it do this?

Q4

Quadrant 4

Clara, Andrew, Nicholas & StephenGroup 1

Jayati, Lucas, Stephen & KaichengGroup 2

Zackary, Patrick, & FilipGroup 4

Cassie, Gianpaolo, Rosemary & VincentGroup 5

1. 0 02. { 5} {0, 5}3. {2, 4, 6, 8} {0, 2, 4, 6, 8}4. {1, 3, 7, 9}

{0 , 1, 2, 3, 4, 5, 6, 7, 8, 9}

Page 24: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Random probability of cell being picked for transition?

Not yet validated No transitions from 0

P(0 -> j)=0 Best to report the support for this assertion

Q4

Quadrant 4

Clara, Andrew, Nicholas & StephenGroup 1

Page 25: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Random probability of cell being picked for transition?

Not yet validated No transitions from 0

P(0 -> j)=0 Best to report the support for this assertion

Ratio of transitions to 0 to transitions to other states changes day to day !!!???

Statistically significant? Test further?

Q4

Quadrant 4

Clara, Andrew, Nicholas & StephenGroup 1

Zackary, Patrick, & FilipGroup 4

Page 26: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Random probability of cell being picked for transition?

Not yet validated No transitions from 0

P(0 -> j)=0 Best to report the support for this assertion

Ratio of transitions to 0 to transitions to other states changes day to day !!!???

Statistically significant? Test further?

states behave differently Transition to 0 most frequent

Quadrant dies off When? Compute statistics to differentiate models

Q4

Quadrant 4

Clara, Andrew, Nicholas & StephenGroup 1

Zackary, Patrick, & FilipGroup 4

Page 27: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Random probability of cell being picked for transition?

Not yet validated No transitions from 0

P(0 -> j)=0 Best to report the support for this assertion

Ratio of transitions to 0 to transitions to other states changes day to day !!!???

Statistically significant? Test further?

states behave differently Transition to 0 most frequent

Quadrant dies off When? Compute statistics to differentiate models

Q4

Quadrant 4

Clara, Andrew, Nicholas & StephenGroup 1

Jayati, Lucas, Stephen & KaichengGroup 2

Zackary, Patrick, & FilipGroup 4

Page 28: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Random probability of cell being picked for transition?

Not yet validated No transitions from 0

P(0 -> j)=0 Best to report the support for this assertion

Ratio of transitions to 0 to transitions to other states changes day to day !!!???

Statistically significant? Test further?

states behave differently Transition to 0 most frequent

Quadrant dies off When? Compute statistics to differentiate models

Even numbers can only transition to other even numbers Odd numbers transition to any other numbers

Except 5 only transitions to 0 And to itself?

Conclusion must be justified from observation How does it do this?

Q4

Quadrant 4

Clara, Andrew, Nicholas & StephenGroup 1

Jayati, Lucas, Stephen & KaichengGroup 2

Zackary, Patrick, & FilipGroup 4

Cassie, Gianpaolo, Rosemary & VincentGroup 5

Page 29: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Random probability of cell being picked for transition?

Not yet validated No transitions from 0

P(0 -> j)=0 Best to report the support for this assertion

Ratio of transitions to 0 to transitions to other states changes day to day !!!???

Statistically significant? Test further?

states behave differently Transition to 0 most frequent

Quadrant dies off When? Compute statistics to differentiate models

Even numbers can only transition to other even numbers Odd numbers transition to any other numbers

Except 5 only transitions to 0 And to itself?

Conclusion must be justified from observation How does it do this?

Q4

Quadrant 4

Clara, Andrew, Nicholas & StephenGroup 1

Jayati, Lucas, Stephen & KaichengGroup 2

Zackary, Patrick, & FilipGroup 4

Cassie, Gianpaolo, Rosemary & VincentGroup 5

1. 0 02. { 5} {0, 5}3. {2, 4, 6, 8} {0, 2, 4, 6, 8}4. {1, 3, 7, 9}

{0 , 1, 2, 3, 4, 5, 6, 7, 8, 9}

Page 30: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Groups of black and

white cells Stable frequency

Quadrant 1

Q1Zackary, Patrick, & Filip

Group 4

Page 31: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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I501introduction

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Assignment I

Observations Groups of black and

white cells Stable frequency Measure of cell “self-

information” How surprising is the state

a cell adopts What does it do and how?

How does clustering occur?

What processes are at play? From data

Investigate correlations , mutual information, etc. study self-transitions in first

iterations

Quadrant 1

Q1

Sirag, Swapna, Vincent, LoganGroup 3

Zackary, Patrick, & FilipGroup 4

Page 32: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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INDIANAUNIVERSITY

I501introduction

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Informatics luis rocha 2017

Assignment I

Observations Behavior without borders more similar for every cell

Markov chain prediction more possible

Quadrant 2

Q2

Sirag, Swapna, Vincent, LoganGroup 3

Page 33: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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INDIANAUNIVERSITY

I501introduction

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Informatics luis rocha 2017

Assignment I

Observations Behavior without borders more similar for every cell

Markov chain prediction more possible A proposed (descriptive) model

Quadrant 2

Zackary, Patrick, & FilipGroup 4

Q2

Sirag, Swapna, Vincent, LoganGroup 3

Page 34: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment I

Observations Behavior without borders more similar for every cell

Markov chain prediction more possible A proposed (descriptive) model Transition constraints

How does it do this? Think of causal models! Specific rules that govern change Stochastic, deterministic, both? Serial correlation and goodness of fit tests

Quadrant 2

Zackary, Patrick, & FilipGroup 4

Q2

Sirag, Swapna, Vincent, LoganGroup 3

1. 9 {9,0}2. 0 {1,2,3,4}3. Most transitions

to {4,5,6,7,8,9}

Page 35: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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Informatics luis rocha 2017

Assignment 1

Aggregate observations

Digging into the structure of quadrants

Cassie, Gianpaolo, Rosemary & VincentGroup 5

Page 36: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment 1

Aggregate observations

Mutual Information Reveals structure

of correlations between cells and neighborhoods

Repeating Patterns of correlations exist!

Digging into the structure of quadrants

Sirag, Swapna, Vincent, LoganGroup 3

Cassie, Gianpaolo, Rosemary & VincentGroup 5

Page 37: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

to informatics

Informatics luis rocha 2017

Assignment 1

Aggregate observations

Mutual Information Reveals structure

of correlations between cells and neighborhoods

Repeating Patterns of correlations exist!

Reveals correlations (interactions?) between Q1 and Q2

Digging into the structure of quadrants

Sirag, Swapna, Vincent, LoganGroup 3

Cassie, Gianpaolo, Rosemary & VincentGroup 5

Page 38: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

[email protected]/rocha/academics/i501/

INDIANAUNIVERSITY

I501introduction

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Informatics luis rocha 2017

Assignment 1

Aggregate observations Mutual Information

Reveals structure of correlations between cells and neighborhoods

Repeating Patterns of correlations exist!

Reveals correlations (interactions?) between Q1 and Q2

Cells in Q2 most dependent on neighbors Contrast with Q3

Q3 and Q4 more uniform (less structures MI)

Digging into the structure of quadrants

Sirag, Swapna, Vincent, LoganGroup 3

Cassie, Gianpaolo, Rosemary & VincentGroup 5

Page 39: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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Black Box

Remember “published” facts Statistical behavior in Q3 Odd/Even behavior in Q4 Clustering and intricate dependencies, different processes in Q1 Rules of transitions in Q2

Are there quadrant dependencies? Focus on smaller grid subsets Think of neighborhoods and boundary conditions Move from descriptive to predictive models Induction and deduction

Data and reasoning Given a model, are things you have never seen possible?

Questions and suggestions

1. 0 02. { 5} {0, 5}3. {2, 4, 6, 8} {0, 2, 4, 6, 8}4. {1, 3, 7, 9} {0 , 1, 2, 3, 4, 5, 6, 7, 8, 9}

.....??, 1 ttjicellstate

1. 9 {9,0}2. 0 {1,2,3,4}3. Most transitions

to {4,5,6,7,8,9}

Page 40: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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Black Box

Data-driven analysis Klir’s GSPS

Mask analysis of smaller grids

E.g. predict behavior of a given cell in Q1

Correlations Information theory

Description model Statistical

Predictive model Causal

Validate Check distributions

observed against those predicted

Make predictions given models

Methods to employ

.....??, 1 ttjicellstate

Page 41: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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Assignment II Due November

15th

Focus descriptive models of quadrant behavior using data

collection, induction, deduction and validation.

Propose a formal model or algorithm of what each quadrant is doing. Analyze, using

deduction, the behavior of this algorithm.

Q1 Q2

Q3 Q4

Page 42: Info introduction to informaticsINDIANA UNIVERSITY I501 introduction to informatics Informatics luisrocha2017 Assignment I Observations Random probability of cell being picked for

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Next classes Lecture

Klir, G.J. and D. Elias [2003]. Architecture of Systems Problem Solving. Springer. Chapters: 1,2, 3.1, 3.2, 3.10, 4.1, 4.2

Optional: Chapters 3, 4 Coutinho, A. [2003]. "On doing science: a speech by Professor

Antonio Coutinho". Economia, 4(1): 7-18, jan./jun. 2003. Knapp B, Bardenet R, Bernabeu MO, Bordas R, Bruna M, et

al. (2015) ”Ten Simple Rules for a Successful Cross-Disciplinary Collaboration”. PLoS Comput Biol 11(4): e1004214.

Schwartz, M.A. [2008]. "The importance of stupidity in scientific research". Journal of Cell Science, 121: 1771.

Presentations Thomas S. Kuhn (1970). Logic of discovery or Psychology of

Research. Misevic, Filip:

Karl Popper (1963). Science: Conjecture and refutations. Kempe-Cook, Lucas

Readings (available in OnCourse)