Why do generative models suffer from mode collapse and what are the underlying causes?
Game theory dynamics: Mode collapse emerges from the fundamental adversarial structure of GANs. The generator optimizes to fool the current discriminator state, not to match the entire data distribution. When the generator discovers outputs that consistently receive high discriminator scores, gradient descent drives it toward those outputs exclusively, abandoning exploration of other modes.
Nash equilibrium failure: GAN training seeks a Nash equilibrium where neither network can improve without the other responding. However, standard gradient descent doesn't guarantee finding this equilibrium. According to analysis from DeepMind researchers, the optimization landscape contains numerous local equilibria corresponding to collapsed states where the generator has converged to a subset of modes that the discriminator hasn't learned to reject.
Gradient information loss: When the discriminator becomes highly confident in its classifications, it provides near-zero gradients to the generator for samples far from the data distribution. This vanishing gradient problem means the generator receives no useful learning signal for exploring new modes, causing it to stay with whatever modes currently fool the discriminator.
Training instability: The discriminator and generator update asynchronously, creating a non-stationary optimization problem. Each network's loss landscape changes with every update to the other network. This instability particularly affects generators, which may find temporary "solutions" that don't generalize as the discriminator continues learning.
Dataset complexity factors: High-dimensional, multi-modal datasets increase collapse risk because the generator must learn to map random noise to many distinct output categories. Research shows datasets with 10+ distinct modes experience collapse rates 3-4 times higher than simpler, unimodal distributions when using standard GAN architectures.