In
network theory
In mathematics, computer science, and network science, network theory is a part of graph theory. It defines networks as Graph (discrete mathematics), graphs where the vertices or edges possess attributes. Network theory analyses these networks ...
, link analysis is a
data-analysis technique used to evaluate relationships between nodes. Relationships may be identified among various types of nodes, including
organization
An organization or organisation (English in the Commonwealth of Nations, Commonwealth English; American and British English spelling differences#-ise, -ize (-isation, -ization), see spelling differences) is an legal entity, entity—such as ...
s,
people
The term "the people" refers to the public or Common people, common mass of people of a polity. As such it is a concept of human rights law, international law as well as constitutional law, particularly used for claims of popular sovereignty. I ...
and
transactions. Link analysis has been used for investigation of criminal activity (
fraud
In law, fraud is intent (law), intentional deception to deprive a victim of a legal right or to gain from a victim unlawfully or unfairly. Fraud can violate Civil law (common law), civil law (e.g., a fraud victim may sue the fraud perpetrato ...
,
counterterrorism
Counterterrorism (alternatively spelled: counter-terrorism), also known as anti-terrorism, relates to the practices, military tactics, techniques, and strategies that governments, law enforcement, businesses, and Intelligence agency, intelligence ...
, and
intelligence
Intelligence has been defined in many ways: the capacity for abstraction, logic, understanding, self-awareness, learning, emotional knowledge, reasoning, planning, creativity, critical thinking, and problem-solving. It can be described as t ...
),
computer security analysis,
search engine optimization
Search engine optimization (SEO) is the process of improving the quality and quantity of Web traffic, website traffic to a website or a web page from web search engine, search engines. SEO targets unpaid search traffic (usually referred to as ...
,
market research
Market research is an organized effort to gather information about target markets and customers. It involves understanding who they are and what they need. It is an important component of business strategy and a major factor in maintaining com ...
,
medical research
Medical research (or biomedical research), also known as health research, refers to the process of using scientific methods with the aim to produce knowledge about human diseases, the prevention and treatment of illness, and the promotion of ...
, and art.
Knowledge discovery
Knowledge discovery is an
iterative and
interactive
Across the many fields concerned with interactivity, including information science, computer science, human-computer interaction, communication, and industrial design, there is little agreement over the meaning of the term "interactivity", but mo ...
process used to
identify, analyze and visualize patterns in data. Network analysis, link analysis and
social network analysis
Social network analysis (SNA) is the process of investigating social structures through the use of networks and graph theory. It characterizes networked structures in terms of ''nodes'' (individual actors, people, or things within the network) ...
are all methods of knowledge discovery, each a corresponding subset of the prior method. Most knowledge discovery methods follow these steps (at the highest level):
#
Data processing
Data processing is the collection and manipulation of digital data to produce meaningful information. Data processing is a form of ''information processing'', which is the modification (processing) of information in any manner detectable by an o ...
#
Transformation
#
Analysis
Analysis (: analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (38 ...
#
Visualization
Data gathering and processing requires access to data and has several inherent issues, including
information overload and data errors. Once data is collected, it will need to be transformed into a format that can be effectively used by both human and computer analyzers. Manual or computer-generated visualizations tools may be mapped from the data, including network charts. Several algorithms exist to help with analysis of data –
Dijkstra's algorithm,
breadth-first search, and
depth-first search.
Link analysis focuses on analysis of relationships among nodes through
visualization methods (
network charts, association matrix). Here is an example of the relationships that may be mapped for crime investigations:
[Krebs, V. E. 2001]
Mapping networks of terrorist cells
, Connections 24, 43–52.
Link analysis is used for 3 primary purposes:
[Link Analysis Workbench](_blank)
, Air Force Research Laboratory Information Directorate, Rome Research Site, Rome, New York, September 2004.
# Find matches in data for known patterns of interest;
# Find anomalies where known patterns are violated;
# Discover new patterns of interest (social network analysis,
data mining
Data mining is the process of extracting and finding patterns in massive data sets involving methods at the intersection of machine learning, statistics, and database systems. Data mining is an interdisciplinary subfield of computer science and ...
).
History
Klerks categorized link analysis tools into 3 generations. The first generation was introduced in 1975 as the Anacpapa Chart of Harper and Harris. This method requires that a domain expert review data files, identify associations by constructing an association matrix, create a link chart for visualization and finally analyze the network chart to identify patterns of interest. This method requires extensive domain knowledge and is extremely time-consuming when reviewing vast amounts of data.

In addition to the association matrix, the activities matrix can be used to produce actionable information, which has practical value and use to law-enforcement. The activities matrix, as the term might imply, centers on the actions and activities of people with respect to locations. Whereas the association matrix focuses on the relationships between people, organizations, and/or properties. The distinction between these two types of matrices, while minor, is nonetheless significant in terms of the output of the analysis completed or rendered.
Second generation tools consist of automatic graphics-based analysis tools such as IBM i2 Analyst's Notebook, Netmap,
ClueMaker and Watson. These tools offer the ability to automate the construction and updates of the link chart once an association matrix is manually created, however, analysis of the resulting charts and graphs still requires an expert with extensive domain knowledge.
The third generation of link-analysis tools like DataWalk allow the automatic visualization of linkages between elements in a data set, that can then serve as the canvas for further exploration or manual updates.
Applications
*
FBI Violent Criminal Apprehension Program (ViCAP)
* Iowa State Sex Crimes Analysis System
* Minnesota State Sex Crimes Analysis System (MIN/SCAP)
* Washington State Homicide Investigation Tracking System (HITS)
* New York State Homicide Investigation & Lead Tracking (HALT)
* New Jersey Homicide Evaluation & Assessment Tracking (HEAT)
* Pennsylvania State ATAC Program.
* Violent Crime Linkage Analysis System (ViCLAS)
Issues with link analysis
Information overload
With the vast amounts of data and information that are stored electronically, users are confronted with multiple unrelated sources of information available for analysis. Data analysis techniques are required to make effective and efficient use of the data. Palshikar classifies data analysis techniques into two categories – (
statistical
Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
models
A model is an informative representation of an object, person, or system. The term originally denoted the plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin , .
Models can be divided int ...
,
time-series analysis,
clustering and
classification
Classification is the activity of assigning objects to some pre-existing classes or categories. This is distinct from the task of establishing the classes themselves (for example through cluster analysis). Examples include diagnostic tests, identif ...
, matching algorithms to detect anomalies) and
artificial intelligence (AI) techniques (data mining,
expert systems
In artificial intelligence (AI), an expert system is a computer system emulating the decision-making ability of a human expert.
Expert systems are designed to solve complex problems by Automated reasoning system, reasoning through bodies of knowl ...
,
pattern recognition
Pattern recognition is the task of assigning a class to an observation based on patterns extracted from data. While similar, pattern recognition (PR) is not to be confused with pattern machines (PM) which may possess PR capabilities but their p ...
,
machine learning techniques,
neural network
A neural network is a group of interconnected units called neurons that send signals to one another. Neurons can be either biological cells or signal pathways. While individual neurons are simple, many of them together in a network can perfor ...
s).
Bolton & Hand define statistical data analysis as either supervised or unsupervised methods.
Supervised learning methods require that rules are defined within the system to establish what is expected or unexpected behavior.
Unsupervised learning methods review data in comparison to the norm and detect statistical outliers. Supervised learning methods are limited in the scenarios that can be handled as this method requires that training rules are established based on previous patterns. Unsupervised learning methods can provide detection of broader issues, however, may result in a higher false-positive ratio if the behavioral norm is not well established or understood.
Data itself has inherent issues including integrity (or lack of) and continuous changes. Data may contain "errors of omission and commission because of faulty collection or handling, and when entities are actively attempting to deceive and/or conceal their actions".
Sparrow highlights incompleteness (inevitability of missing data or links), fuzzy boundaries (subjectivity in deciding what to include) and dynamic changes (recognition that data is ever-changing) as the three primary problems with data analysis.
[
Once data is transformed into a usable format, open texture and cross referencing issues may arise. Open texture was defined by Waismann as the unavoidable uncertainty in meaning when empirical terms are used in different contexts. Uncertainty in meaning of terms presents problems when attempting to search and cross reference data from multiple sources.
The primary method for resolving data analysis issues is reliance on domain knowledge from an expert. This is a very time-consuming and costly method of conducting link analysis and has inherent problems of its own. McGrath et al. conclude that the layout and presentation of a network diagram have a significant impact on the user's "perceptions of the existence of groups in networks". Even using domain experts may result in differing conclusions as analysis may be subjective.
]
Prosecution vs. crime prevention
Link analysis techniques have primarily been used for prosecution, as it is far easier to review historical data for patterns than it is to attempt to predict future actions.
Krebs demonstrated the use of an association matrix and link chart of the terrorist network associated with the 19 hijackers responsible for the September 11th attacks
The September 11 attacks, also known as 9/11, were four coordinated Islamist terrorist suicide attacks by al-Qaeda against the United States in 2001. Nineteen terrorists hijacked four commercial airliners, crashing the first two into ...
by mapping publicly available details made available following the attacks.[ Even with the advantages of hindsight and publicly available information on people, places and transactions, it is clear that there is missing data.
Alternatively, Picarelli argued that use of link analysis techniques could have been used to identify and potentially prevent illicit activities within the ]Aum Shinrikyo
, better known by their former name , is a Japanese new religions, Japanese new religious movement and doomsday cult founded by Shoko Asahara in 1987. It carried out the deadly Tokyo subway sarin attack in 1995 and was found to have been respo ...
network. "We must be careful of 'guilt by association'. Being linked to a terrorist does not prove guilt – but it does invite investigation."[ Balancing the legal concepts of ]probable cause
In United States criminal law, probable cause is the legal standard by which police authorities have reason to obtain a warrant for the arrest of a suspected criminal and for a court's issuing of a search warrant. One definition of the standar ...
, right to privacy
The right to privacy is an element of various legal traditions that intends to restrain governmental and private actions that threaten the privacy of individuals. Over 185 national constitutions mention the right to privacy.
Since the globa ...
and freedom of association
Freedom of association encompasses both an individual's right to join or leave groups voluntarily, the right of the group to take collective action to pursue the interests of its members, and the right of an association to accept or decline membe ...
become challenging when reviewing potentially sensitive data with the objective to prevent crime or illegal activity that has not yet occurred.
Proposed solutions
There are four categories of proposed link analysis solutions:[Schroeder et al., Automated Criminal Link Analysis Based on Domain Knowledge, Journal of the American Society for Information Science and Technology, 58:6 (842), 2007.]
# Heuristic-based
# Template-based
# Similarity-based
# Statistical
Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
Heuristic-based tools utilize decision rules that are distilled from expert knowledge using structured data. Template-based tools employ Natural Language Processing (NLP) to extract details from unstructured data
Unstructured data (or unstructured information) is information that either does not have a pre-defined data model or is not organized in a pre-defined manner. Unstructured information is typically plain text, text-heavy, but may contain data such ...
that are matched to pre-defined templates. Similarity-based approaches use weighted scoring to compare attributes and identify potential links. Statistical approaches identify potential links based on lexical statistics.
CrimeNet explorer
J.J. Xu and H. Chen propose a framework for automated network analysis and visualization called CrimeNet Explorer.[Xu, J.J. & Chen, H., CrimeNet Explorer: A Framework for Criminal Network Knowledge Discovery, ACM Transactions on Information Systems, 23(2), April 2005, pp. 201-226.] This framework includes the following elements:
* Network Creation through a concept space approach that uses " co-occurrence weight to measure the frequency with which two words or phrases appear in the same document. The more frequently two words or phrases appear together, the more likely it will be that they are related".[
* Network Partition using "hierarchical clustering to partition a network into subgroups based on relational strength".][
* Structural Analysis through "three centrality measures (degree, betweenness, and closeness) to identify central members in a given subgroup.][ CrimeNet Explorer employed Dijkstra's shortest-path algorithm to calculate the betweenness and closeness from a single node to all other nodes in the subgroup.
* Network Visualization using Torgerson's metric multidimensional scaling (MDS) algorithm.
]
References
External links
*
Link Analysis and Crime - An Examination
Elink Schuurman MW, Srisaenpang S, Pinitsoontorn S, Bijleveld I, Vaeteewoothacharn K, Methapat C., The rapid village survey in tuberculosis control, Tuber Lung Dis. 1996 Dec;77(6):549-54.
Gunhee, K., Faloutsos, C, Hebert, M, Unsupervised Modeling of Object Categories Using Link Analysis Techniques.
McGehee, R., Intelligence Report.
Ressler, S., Social Network Analysis as an Approach to Combat Terrorism: Past, Present and Future Research.
IBM i2 Analyst's Notebook Premium
*
Workshop on Link Analysis: Dynamics and Static of Large Networks (LinkKDD2006) August 20, 2006
{{Webarchive, url=https://web.archive.org/web/20100626022003/http://kt.ijs.si/Dunja/LinkKDD2006/ , date=June 26, 2010
Sintelix
- An advanced link analysis and entity extraction tool
ClueMaker
Data Walk
Network theory