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What is
Computational Legal Studies?
Professor Daniel Martin Katz
Illinois Tech - Chicago Kent College of Law
@computationaldanielmartinkatz.com computationallegalstudies.com
What is Computational
Legal Studies?
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
What is Computational
Legal Studies?
Computational
Legal Studies
is
Sociophysics
Natural Language Processing
Machine Learning
Network Science
Statistical Methods
Out of Equilibrium Models
Non Linearity
Scaling
Diffusion
Social Epidemiology
Information Theory
New Kind of Science
Computational Game Theory
Web Scrapping
Information Visualization
What is Computational
Legal Studies?
Computational
Legal Studies
Offers
A Set of Tools
that allow us
to perhaps
better understand
‘Law’ in a
modern society
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
Taxonomy of Approaches
Data
Analysis
Formal
Models
Computational
Legal Studies
Data
Analysis
Formal
Models
Computational
Legal Studies
Data
Analysis
This is the Era of “Big Data”
Decreasing Data Storage Costs
Increasing Computing Power
Fundamentally Altering the Scope of Scientific Inquiry
Highlighting the Data Deluge
2008 2009 2010
The Case for a
Computational Approach
Legal Systems Output large
amounts of Information
Need Methods that Scale
to the Size and Scope of
this Body of Information
Data Analysis
statistical
models
and
methods
network
analytic
methods
text
as
data
other
related
approaches
What is Computational
Legal Studies?
Computational
Legal Studies
is
quantitative
legal prediction
do i have a case?
how do lawyers
generate this
assessment?
can it be automated?
Mental Models
vs
Aggregated Data
Weather
Prediction
Tide
Prediction
vs.
lots of factors matter
Inputs / Data Quality
Time Scales Matter
inherent system
variability matters
‘complexity’ matters
Some Potential Inputs
what is the relevant
information contained
therein?
text, citations, votes, etc.
other metadata
what form might the
outputs take?
standard client memo
+
statistical portrait of 10,000
‘similar’ cases
the caveat
your mileage may vary
but a statistical portrait
would be useful
to gut check
a mental model
other
big
implications ...
the market for
legal services
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
the market for
legal education
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
‘thinking like a lawyer’?
in the age of big data ...
What is Computational
Legal Studies?
Data
Analysis
Formal
Models
Formal
Models
Formal Models
computational
game
theory
network
models
Agent
Based
Modeling
Why Generate
Formal Models?
Formal Models
v.
Data
The Evaluation of
Counterfactuals
The Evaluation
of Alternative
‘States of the world’
Cannot not be
Exclusively
Data Driven
A Few Examples ...
Theoretical Models and
Computational Simulations
schelling’s segregation model
Axelrod’s Evolution
of Cooperation model
An Entire Course on
Computational Formal Models
18 Classes
and more than
1000 slides!
ICPSR
Summer
Methods
Program
computational
game
theory
network
models
Agent
Based
Modeling
What is Computational
Legal Studies?
Data
Analysis
Formal
Models
statistical
models
and
methods
network
analytic
methods
text
as
data
and more ...
Now Some
Selected
Applications
Project #1:
United States Code
The United States Code
Compiled Version of Federal Statutory Law
Drawn from the Statutes at Large
Does not Include Admin Regulations
The United States Code
These are the 50 titles in the Code
A Perspective on the Scope
of Law in a Modern Society
How Large is the United States Code?
How Complex is the United States Code?
How has its Scope Changed Over Time?
Are Changes in Code Coupled with Changes
in the Scope of the Administrative State?
How Large is the United States Code?
How Large is the United States Code?
How Large is the United States Code?
How Large is the United States Code?
~Title 29 - Labor
How Large is the United States Code?
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
This is the United
States Code
Computational Approach to
Measurement of Complexity
Measure that Representation in a
Manner that is Qualitatively Justified
Provide a Mathematical
Representation of the Object
The US Code as a
Mathematical Object
Hierarchical
Structure
Title 26
Subtitle A
Chapter 1
Subchapter F
Part I
Section 501
Subsection (c)
Paragraph (3)
http://arxiv.org/abs/1003.4146
Citation
Network
Example: Tax Evasion
Title 26 -
Tax
Cites
Title 18 -
Crimes &
Criminal Procedure
The US Code as a
Mathematical Object
http://computationallegalstudies.com
Linguistic
Content
United States Code
Features
24 Million Words
The US Code as a
Mathematical Object
Published in Physica A
(October 2010)
The US Code as a
Mathematical Object
How Complex is U.S. Code?
Ongoing Project --
Daniel Katz &
Michael Bommarito
“Measuring the Complexity
of the United States Code”
The Complexity of
Knowledge Acquisition
3 Factors Influence Complexity of
Executing a KA Protocol
Structure Language Dependence
Project #2:
Network Analysis of
the Federal Judiciary
the Federal Judicial Heirarchy
United States
Supreme Court
Federal Court
of Appeals
Federal District Court
What is the Social Topology of
the American Federal Judiciary?
... And How Can We Measure it?
Collected Nearly 19,000 Law Clerk ‘Events’
1995 - 2005 For All Article III Judges
Relying Upon Data From Staff Directories
Network Analysis of
the Federal Judiciary
The Core Claim
In the Aggregate ...
Law Clerk Movements Reveal
Between Judicial Actors
Social or Professional Relationships
Network Analysis of
the Federal Judiciary
Judge E
Justice ZJustice Y
Judge C
Judge D
Judge B
Judge A
Network Analysis of
the Federal Judiciary
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
Network Analysis of
the Federal Judiciary
Daniel Katz &
Derek Stafford
(2010)
Project #3:
Exploring the Path of Precedent?
The Legal Genome Project
and the analysis of Judicial Citations
The United States Reports
Nodes = Cases Decided by the Supreme Court
Directed Edges = Citations between Cases
United States Supreme Court
Case to Case Citation Network
Case to Case Citation Network
of the
United States Supreme Court
Dickerson v. U.S.
530 U.S. 428 (2000)
Miranda v. Arizona
384 U.S. 436 (1966)
Oregon v. Elstad
530 U.S. 428 (2000)
Exploring the Path of Precedent?
Dynamic Visualization of the Early
Supreme Court Citation Network
Cases Decided by
the Supreme Court
Citations in the
Current Year
Citations from
prior years
http://computationallegalstudies.com/
2010/02/11/the-development-of-structure-in-
the-citation-network-of-the-united-states-
supreme-court-now-in-hd/
PLAY MOVIE!
Beijing
Distance Measures for
Dynamic Citation Networks
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
What is Computational Legal Studies?  Presentation @ University of Houston - Workshop on Law & Computation
Growth Rules
For Citation Networks
Dynamic Directed
Acyclic Graphs
Dynamic Directed
Acyclic Graphs
Examples:
Academic Articles
Dynamic Directed
Acyclic Graphs
Examples:
Academic Articles
Judicial Citations
Dynamic Directed
Acyclic Graphs
Examples:
Academic Articles
Judicial Citations
Patent Citations
Network Dynamics:
The Early Jurisprudence of the
United States Supreme Court
Cases Decided by
the Supreme Court
Citations in the
Current Year
Citations from
prior years
A Formalization of D-DAG’s
Six Degrees of Marbury v. Madison
A Formalization of D-DAG’s
Basic Idea of Sink Based
Distance Measure
The Simplest Non-Trivial
Distance Measure
Flexible Framework For More
Detailed Specifications
Distance Measure
<- ->
Dendrogram
Potential Application to
Patent Citations?
Sternitzke, Bartkowski & Schramm (2008)
Potential Application to
Patent Citations?
http://www.eecs.umich.edu/cse/dm_11_video/erdi.mp4
http://people.kzoo.edu/~perdi/Talk By Péter Érdi
Network Analysis of
Patent Citations
http://ssrn.com/author=627779
http://arxiv.org/abs/0909.1819available at:
Additional
Materials
Available
Online!
@computational
Thank You For Your Attention!
Professor Daniel Martin Katz
Illinois Tech - Chicago Kent College of Law
@computationaldanielmartinkatz.com computationallegalstudies.com

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What is Computational Legal Studies? Presentation @ University of Houston - Workshop on Law & Computation