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 M3//EN
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METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20251117T172008Z
DTSTART:20251119T160000Z
DTEND:20251119T173000Z
SUMMARY:Mitchell Centre Seminar Series - Bernie Hogan (Oxford University)
  - Perspective Matters: Egocentric Networks and the Bundling/Grinding Pr
 oblem in Sheaf Theory
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}mwp-mg7vm28
 g-ms0kox
DESCRIPTION:Consider a whole network\, such as a classroom. Each student 
 can create an egocentric network visually and in metric space through tr
 aditional methods. Yet the aggregation of these networks remains a nontr
 ivial problem. The conventional solutions\, often treated under the rubr
 ic “Cognitive Social Structures” does not sufficiently accommodate infor
 mation at the local level within the global projection. Like many aggreg
 ating approaches from linear / continuous analysis\, traditional approac
 hes ‘grind’ rather than ‘bundle’ the local data into a global space. By 
 working through the axioms of sheaf theory from topological data analysi
 s and more broadly from discrete math\, we can conceptually accommodate 
 all of the local information in an egocentric “presheaf” and consider th
 e resulting whole network as a “sheaf”. This conversion not only opens u
 p a host of potential avenues for novel analytical modelling from topolo
 gical data analysis but also reveals analogies with the estimation proce
 ss involved in transformer models (aka LLMs) while providing a strikingl
 y aligned framework to White’s elusive ‘catnets’. Yet\, the most mind-bo
 ggling implication of this work is the necessity of and capacity to incl
 ude observer perspective (i.e. subjectivity) into our mathematical frame
 work with analytical precision.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:2.016\, Arthur Lewis Building\, Manchester
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