DriftWeight: Repulsive Drift in Mean-Flow Space for Neural Network Weight Generation
Reo Iizuka ⋅ shioya hiroaki ⋅ Naoto YOKOYA
Abstract
Generating neural network weights in a single forward pass promises to amortize model training for fast sampling, transfer, and model-set construction. Yet accuracy alone is insufficient: existing generators can map diverse latent inputs to weights that remain functionally close to their training checkpoints. We study this functional mode collapse in the one-step regime and introduce DriftWeight, a MeanFlow-based generator with temperature-scaled repulsive drift in a checkpoint-augmented PCA proxy space. The method uses structured negatives from the current batch and optimization history to push generated weights away from observed clusters while preserving task performance. Our key finding is that repulsion is not automatically compatible with one-step inference. In a controlled ablation, applying the drift loss at the same boundary evaluation used for sampling collapses one-step accuracy even though multi-step integration remains accurate. DriftWeight mitigates this boundary-localized failure with a consistency objective that anchors the inference point to the training-weight manifold. Across MNIST, Fashion-MNIST, and CIFAR-10, DriftWeight matches or exceeds reported 100-step DeepWeightFlow accuracy in a single forward pass. On MNIST, where we directly evaluate error-set functional overlap, it reduces MaxIoU from the DeepWeightFlow regime of approximately $0.82$ to $0.66$. On CIFAR-100 with a ViT-Base target ($\sim$86M parameters), one-step samples remain within $1.7$ percentage points of the training-population mean.
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