82 citations · 212 across the 6 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.OC2015★ 1 cited
Noisy Hegselmann-Krause Systems: Phase Transition and the 2R-Conjecture
Chu Wang, Qianxiao Li, Weinan E +1
The classic Hegselmann-Krause (HK) model for opinion dynam- ics consists of a set of agents on the real line, each one instructed to move, at every time step, to the mass center of…
cs.LG2015★ 17 cited
Stochastic modified equations and adaptive stochastic gradient algorithms
Qianxiao Li, Cheng Tai, Weinan E
We develop the method of stochastic modified equations (SME), in which stochastic gradient algorithms are approximated in the weak sense by continuous-time stochastic differential…
math.AP2015★ 2 cited
Well-Posedness of the Limiting Equation of a Noisy Consensus Model in Opinion Dynamics
Bernard Chazelle, Quansen Jiu, Qianxiao Li +1
This paper establishes the global well-posedness of the nonlinear Fokker-Planck equation for a noisy version of the Hegselmann-Krause model. The equation captures the mean-field be…