4 research outputs found
Sticky Seeding in Discrete-Time Reversible-Threshold Networks
When nodes can repeatedly update their behavior (as in agent-based models
from computational social science or repeated-game play settings) the problem
of optimal network seeding becomes very complex. For a popular
spreading-phenomena model of binary-behavior updating based on thresholds of
adoption among neighbors, we consider several planning problems in the design
of \textit{Sticky Interventions}: when adoption decisions are reversible, the
planner aims to find a Seed Set where temporary intervention leads to long-term
behavior change. We prove that completely converting a network at minimum cost
is -hard to approximate and that maximizing conversion
subject to a budget is -hard to approximate. Optimization
heuristics which rely on many objective function evaluations may still be
practical, particularly in relatively-sparse networks: we prove that the
long-term impact of a Seed Set can be evaluated in operations. For a
more descriptive model variant in which some neighbors may be more influential
than others, we show that under integer edge weights from
objective function evaluation requires only operations. These
operation bounds are based on improvements we give for bounds on
time-steps-to-convergence under discrete-time reversible-threshold updates in
networks.Comment: 19 pages, 2 figure
Sticky Seeding in Discrete-Time Reversible-Threshold Networks
When nodes can repeatedly update their behavior (as in agent-based models from computational social science or repeated-game play settings) the problem of optimal network seeding becomes very complex. For a popular spreading-phenomena model of binary-behavior updating based on thresholds of adoption among neighbors, we consider several planning problems in the design of Sticky Interventions: when adoption decisions are reversible, the planner aims to find a Seed Set where temporary intervention leads to long-term behavior change. We prove that completely converting a network at minimum cost is Ω(ln(OP T ))-hard to approximate and that maximizing conversion subject to a budget is (1 − 1 )-hard to approximate. Optimization heuristics which rely on many objective e-function evaluations may still be practical, particularly in relatively-sparse networks: we prove that the long-term impact of a Seed Set can be evaluated in O(|E|2) operations. For a more descriptive model variant in which some neighbors may be more influential than others, we show that under integer edge weights from {0, 1, 2, ..., k} objective function evaluation requires only O(k|E|2) operations. These operation bounds are based on improvements we give for bounds on time-steps-to-convergence under discrete-time reversible-threshold updates in networks
Sticky Seeding in Discrete-Time Reversible-Threshold Networks
When nodes can repeatedly update their behavior (as in agent-based modelsfrom computational social science or repeated-game play settings) the problemof optimal network seeding becomes very complex. For a popularspreading-phenomena model of binary-behavior updating based on thresholds ofadoption among neighbors, we consider several planning problems in the designof \textit{Sticky Interventions}: when adoption decisions are reversible, theplanner aims to find a Seed Set where temporary intervention leads to long-termbehavior change. We prove that completely converting a network at minimum costis -hard to approximate and that maximizing conversionsubject to a budget is -hard to approximate. Optimizationheuristics which rely on many objective function evaluations may still bepractical, particularly in relatively-sparse networks: we prove that thelong-term impact of a Seed Set can be evaluated in operations. For amore descriptive model variant in which some neighbors may be more influentialthan others, we show that under integer edge weights from objective function evaluation requires only operations. Theseoperation bounds are based on improvements we give for bounds ontime-steps-to-convergence under discrete-time reversible-threshold updates innetworks.Comment: 19 pages, 2 figure
Sticky Seeding in Discrete-Time Reversible-Threshold Networks
When nodes can repeatedly update their behavior (as in agent-based models
from computational social science or repeated-game play settings) the problem
of optimal network seeding becomes very complex. For a popular
spreading-phenomena model of binary-behavior updating based on thresholds of
adoption among neighbors, we consider several planning problems in the design
of \textit{Sticky Interventions}: when adoption decisions are reversible, the
planner aims to find a Seed Set where temporary intervention leads to long-term
behavior change. We prove that completely converting a network at minimum cost
is -hard to approximate and that maximizing conversion
subject to a budget is -hard to approximate. Optimization
heuristics which rely on many objective function evaluations may still be
practical, particularly in relatively-sparse networks: we prove that the
long-term impact of a Seed Set can be evaluated in operations. For a
more descriptive model variant in which some neighbors may be more influential
than others, we show that under integer edge weights from
objective function evaluation requires only operations. These
operation bounds are based on improvements we give for bounds on
time-steps-to-convergence under discrete-time reversible-threshold updates in
networks