
Mathematical Methods in Counterterrorism
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Amy Sliva, V.S. Subrahmanian, Vanina Martinez, and Gerardo Simari
Abstract There is now intense interest in the problem of forecasting what a group will do in the future. Past work [1, 2, 3] has built complex models of a group's behavior and used this to predict what the group might do in the future. However, almost all past work assumes that the group will not change its past behavior. Whether the group is a group of investors, or a political party, or a terror group, there is much interest in when and how the group will change its behavior. In this paper, we develop an architecture and algorithms called CAPE to forecast the conditions under which a group will change its behavior.We have tested CAPE on social science data about the behaviors of seven terrorist groups and show that CAPE is highly accurate in its predictions-at least in this limited setting.
1 Introduction
Group behavior is a continuously evolving phenomenon. The way in which a group of investors behaves is very different from the way a tribe in Afghanistan might behave, which in turn, might be very different from how a political party in Zimbabwe might behave. Most past work [1, 4, 2, 3, 5] on modeling group behaviors focuses on learning a model of the behavior of the group, and using that to predict what the group might do in the future. In contrast, in this paper, we develop algorithms to learn when a given group will change its behaviors.
As an example, we note that terrorist groups are constantly evolving. When a group establishes a standard operating procedure over an extended period of time, the problem of predicting what that group will do in a given situation (hypothetical or real) is easier than the problem of determining when, if, and how the group will exhibit a significant change in its behavior or standard operating procedure. Systems such as the CONVEX system [1] have developed highly accurate methods of determining what a given group will do in a given situation based on its past behaviors. However, their ability to predict when a group will change its behaviors is yet to be proven.
In this paper, we propose an architecture called CAPE that can be used to effectively predict when and how a terror group will change its behaviors. The CAPE methodology and algorithms have been tested out on about 10 years of real world data on 5 terror groups in two countries and-in those cases at least-have proven to be highly accurate.
The rest of this paper describes how this forecasting has been accomplished with the CAPE methodology. In Section 2, we describe the architecture of the CAPE system. Section3 gives details of an algorithm to estimate what the environmental variables will look like at a future point in time. In Section 4, we briefly describe an existing system called CONVEX [1] for predicting what a group will do in a given situation s and describe how to predict the actions that a group will take at a given time in the future.
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