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Vahid Moosavi
Modeling in Coexistence with Data
Toward a Generic Notion of Space
First Part
Modeling in Coexistence with Data, (the conceptual story line of
this talk)
Second Part
Toward a Generic Notion of Space ( three applications around the
notion of space)
The Classical Modeling Process and
the Role of Data
(A set theoretical notion of a model)
Abstract(Universals(
Data$
Modeling$Process$ Final$Model$
(Ideals )
Abstract Universals and Rational Modeling
Here,“Circle-ness” as an Ideal form is assumed.
Then, each observation is a “circle”.
Or each observation is a “circle” with specific “radius”.
Rational Modeling
and
Modern Analysis
based on the
Idealized dictionaries
ObservedModel
Fourier Decomposition
Urban Modeling and Idealization
Space Syntax
Agent Based Modeling
System Dynamics
This approach of modeling reaches to a theoretical
limit in complex systems...
The Secondary role of the data in the
classical modeling and simulation:
•First we establish a dictionary and a
grammar of the real phenomena based
on a set of ideal conditions.
•Then we tune the model with the
Abstract(Universals(
Data$
Modeling$Process$ Final$Model$
What if instead
of given
dictionaries and
ideals, we learn
them in a
Coexistence
with
Urban Data
An Alternative
Approach
We need a conceptual inversion in the role of
data in the modeling process
Concrete(Universals(
Unstructured*Data* Modeling*Process* Final*Model*
Modeling in Co-existence with Data
Beyond the notion of error and the ideal form
Second part: Toward a generic
notion of space
Given Dictionary of Forms
Learned Dictionary of Forms
Self Organizing Map (SOM)
(As a Generic Space, where closer items are more similar to each other)
CAAD 2010
Benjamin Dillenburger
The interplay between two different spaces
The interplay between two different spaces
Ludger Hovestadt, Vahid Moosavi, Mathias Standfest 2012
First Application
Urban Air Pollution Modeling
Urban Air Pollution Modeling
Vahid Moosavi, Gideon Aschwanden, Erik Velasco 2014
Urban Air Pollution Modeling
Vahid Moosavi, Gideon Aschwanden, Erik Velasco 2014
Urban Information
+
few measurements
Urban Air Pollution Modeling
Learning a dictionary
A new space based on similarity of urban parameters
Urban Air Pollution Modeling
Learning a dictionary Estimating the air pollution level with different confidence
levels with only 3% direct measurement
Urban Air Pollution Modeling
Locating the monitoring stations
Second Application
Modeling the Dynamics of Real Estate Market
Modeling the Dynamics of Real Estate Market
First	
  Law	
  of	
  Geography	
  (FLG)
Waldo Tobler :"Everything is related to everything else, but
near things are more related than distant things”
Basics	
  of	
  Spa7al	
  Modeling
Q: But near in which space and based on
which similarity and relatedness?
Idea: Is there a way to reach to a generic
notion of space which is based on any
similarity of interest?
Modeling the Dynamics of Real Estate Market
Monthly Median Price per sq.ft of sold
houses of each Zip code in the state of
Florida
Modeling the Dynamics of Real Estate Market
The topology of this dynamic
It seems there should
be some patterns
Modeling the Dynamics of Real Estate Market
But not necessarily a
spatial pattern
How about the FLG?
It is like a jigsaw puzzle
From 2002
To 2015
But not just one, several
puzzles at once
Modeling the Dynamics of Real Estate Market
SOM$
Learning a temporal dictionary
Modeling the Dynamics of Real Estate Market
From a spatial image of the market
with random pixels
To another image of market
that follows FLG?
SOM$
Modeling the Dynamics of Real Estate Market
An Image of the
market
Median price of a all
the zip codes in
Florida from
2002-2015
Modeling the Dynamics of Real Estate Market
Two notions of space
Modeling the Dynamics of Real Estate Market
Predicting 6 months ahead price
Using the same prediction
method
Only different neighbors
Most of the times, we get
better results with looking to
the new space!
Modeling the Dynamics of Real Estate Market
Two notions of space
Geo Space
SOM Space
Modeling the Dynamics of Real Estate Market
Spatial Distribution of Error
Third Application
Contextual Mapping
Or how to be able to create personalized images of the space?
Cities are complex and multi-faceted
How to look at a city with huge amount of digital data?
Is it possible that instead of a top-down map, we provide a
simple mapping process?
“Toward personalized images of space”
Age + Health
Method: Learn a one dimensional dictionary and take its elements as an ordered
set of numbers.
Age + Health
Levels of Education + Health
Distance travel to work
Crime Categories
Contextual Mapping
Racial Mixture in New York City?
Contextual Mapping
Redistricting and the will of the people
How polarized is Colorado in different elections?
Is there any bottom up approach to define the electoral borders?
thank YOU
•Abstraction dis-solves the current problem
and transcends to a new world with new kind
of challenges.
•Generalization opens up or keeps the
discussions in the same world that the
problem exists.

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Modeling in Coexistence with Data: Toward a Generic Notion of Space