Psychoprocesses, public opinion and epidemics: the physics of networks wan ahmad tajuddin wan abdullah jabatan fizik, fakulti sains, universiti malaya & fakulti sains komputer & teknologi maklumat, universiti malaya
Kloosterveen neighbourhood relationship
networks! links topology nodes state (discrete/analog) computation (binary/weighted thresholding/game theoretical/…) memory (history/connection weights/strategies/…) learning (connection weights/strategies/…)
topology ordered/random non/directional dense/sparse scale-free small world communities hubs
Neural networks nonlinear weighted sum connections Layered feed-forward blackbox input-output mappings learning generalization Symmetric completely-connected physics analogue associative memory combinatorial optimization
Spin networks Energy description E = - ½ Σi Σj TijViVj + Σi UiVi
Logic networks Logic grounding optimization AB,C Tij logic interpretation as combinatorial optimization Hebbian learning DTij ViVj learn underlying logic Logic mining Tij AB,C reverse process to uncover underlying logic alGhazali causality from correlations
sociology Evolution of cooperation
Social networks Importance of topology characterization of real networks Percolation / branching process spread of opinions, rumours, diseases, … Remedial strategies e.g effective immunization
economics Wealth distribution money transfer model
conclusion It’s in the links!