For certain double-well payoff functions with strong coupling and small noise, the mean-field Langevin descent-ascent flow stays near a limit cycle and fails to converge.
PL conditions do not guarantee convergence of gradient descent-ascent dynamics
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.OC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Oscillating solutions to the mean-field Langevin descent-ascent flow
For certain double-well payoff functions with strong coupling and small noise, the mean-field Langevin descent-ascent flow stays near a limit cycle and fails to converge.