arXiv:2501.01601cs.CVcs.AI2025-01CVPR被引 2

用少量样本生成多样且功能一致的隐式神经表示。

Few-shot Implicit Function Generation via Equivariance

  • 通过权重置换构建等变群,将网络映射到等变潜空间。
  • 在2D图像和3D形状数据集上实现少样本下多样生成。
  • 适合需要高效生成新模型的低资源场景使用者。

隐式神经表示(INRs)已成为连续信号建模的强大框架,但受限于训练数据,生成多样化INR权重仍具挑战性。本文提出少样本隐式函数生成新问题,旨在仅凭少数样本生成既多样又功能一致的INR权重。由于相同信号的最优INR可能因初始化差异而显著不同,该任务尤为困难。为此,我们提出EquiGen框架,其核心思想是:功能相似的网络可通过权重置换相互转换,构成一个等变群。通过将权重投影至等变潜空间,可在极小样本下实现组内多样性生成。EquiGen采用对比学习训练的等变编码器与平滑增强,结合等变引导的扩散过程及潜空间中的受控扰动。在2D图像与3D形状INR数据集上的实验表明,该方法能在少样本条件下有效生成多样化且保持功能一致性的INR权重。

原文摘要 · Abstract (English)

Implicit Neural Representations (INRs) have emerged as a powerful framework for representing continuous signals. However, generating diverse INR weights remains challenging due to limited training data. We introduce Few-shot Implicit Function Generation, a new problem setup that aims to generate diverse yet functionally consistent INR weights from only a few examples. This is challenging because even for the same signal, the optimal INRs can vary significantly depending on their initializations. To tackle this, we propose EquiGen, a framework that can generate new INRs from limited data. The core idea is that functionally similar networks can be transformed into one another through weight permutations, forming an equivariance group. By projecting these weights into an equivariant latent space, we enable diverse generation within these groups, even with few examples. EquiGen implements this through an equivariant encoder trained via contrastive learning and smooth augmentation, an equivariance-guided diffusion process, and controlled perturbations in the equivariant subspace. Experiments on 2D image and 3D shape INR datasets demonstrate that our approach effectively generates diverse INR weights while preserving their functional properties in few-shot scenarios.

隐式表示少样本生成等变学习扩散模型

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