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SUMMARY:Aspects of mathematically modelling street gang violence in Los An
 geles - Rachel Hegemann (University of Münster)
DTSTART:20130516T100000Z
DTEND:20130516T110000Z
UID:TALK45236@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:Street gangs are a continued problem not only to the greater L
 os Angeles area\, but also in many urban areas of the United States. This 
 talk highlights mathematical models used to describe two aspects of gang v
 iolence: gang rivalry networks and inferring affiliation for violent event
 s. To further understand the generation of a gang rivalry network\, an age
 nt based model is presented. The movement dynamics of agents are coupled t
 o an evolving network of gang rivalries\, which is determined by previous 
 interactions among agents in the system.\nTo infer gang affiliation of vio
 lent events in the presence of incomplete data\, the Estimate & Score algo
 rithm will be presented. Even when gang activity is highly stochastic\, lo
 calized excitations in parts of the known dataset can help identify gangs 
 responsible for unsolved crimes. Assuming the data is a realization of a H
 awkes process\, this algorithm assigns weights to the inferred culpable ga
 ng as well as estimate the process parameters in the presence of incomplet
 e data. 
LOCATION:MR15\, Centre for Mathematical Sciences
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