Diffusion models have emerged as state-of-the-art deep generative
architectures with the increasing demands for generation tasks. Training large
diffusion models for good performance requires high resource costs, making them
valuable intellectual properties to protect. While most of the existing
ownership solutions, including watermarking, mainly focus on discriminative
models. This paper proposes WDM, a novel watermarking method for diffusion
models, including watermark embedding, extraction, and verification. WDM embeds
the watermark data through training or fine-tuning the diffusion model to learn
a Watermark Diffusion Process (WDP), different from the standard diffusion
process for the task data. The embedded watermark can be extracted by sampling
using the shared reverse noise from the learned WDP without degrading
performance on the original task. We also provide theoretical foundations and
analysis of the proposed method by connecting the WDP to the diffusion process
with a modified Gaussian kernel. Extensive experiments are conducted to
demonstrate its effectiveness and robustness against various attacks.

本论文提出了一种名为 WDM 的新型数字水印方法，该方法可用于训练或微调扩散模型，学习一个与任务数据标准扩散过程不同的水印扩散过程（WDP），并提供了理论基础和分析，以说明该方法的有效性和鲁棒性。

通过水印扩散过程保护扩散模型的知识产权

Protecting the Intellectual Property of Diffusion Models by the  Watermark Diffusion Process

Generative models for 3D geometric data arise in many important applications
in 3D computer vision and graphics. In this paper, we focus on 3D deformable
shapes that share a common topological structure, such as human faces and
bodies. Morphable Models and their variants, despite their linear formulation,
have been widely used for shape representation, while most of the recently
proposed nonlinear approaches resort to intermediate representations, such as
3D voxel grids or 2D views. In this work, we introduce a novel graph
convolutional operator, acting directly on the 3D mesh, that explicitly models
the inductive bias of the fixed underlying graph. This is achieved by enforcing
consistent local orderings of the vertices of the graph, through the spiral
operator, thus breaking the permutation invariance property that is adopted by
all the prior work on Graph Neural Networks. Our operator comes by construction
with desirable properties (anisotropic, topology-aware, lightweight,
easy-to-optimise), and by using it as a building block for traditional deep
generative architectures, we demonstrate state-of-the-art results on a variety
of 3D shape datasets compared to the linear Morphable Model and other graph
convolutional operators.

本文提出了一种新颖的图卷积算子，通过对网格的本地顺序强制执行连续性，实现对固定底层图形的归纳偏差建模，并将其作为传统深度生成建筑的构件，以多种 3D 形状数据集为例，与线性 Morphable Model 和其他图卷积算子相比，展示出最先进的结果。