Title: Deep Watermarks for Attributing Generative Models. Abstract: Generative models have enabled the creation of contents that are indistinguishable from those taken from the Nature. Open-source development of such models raised concerns about the risks in their misuse for malicious purposes. One potential risk mitigation strategy is to attribute generative models via watermarking. Current watermarking methods exhibit significant tradeoff between robust attribution accuracy and generation quality, and also lack principles for designing watermarks to improve this tradeoff. This paper investigates the use of latent semantic dimensions as watermarks, from where we can analyze the effects of design variables, including the choice of watermarking dimensions, watermarking strength, and the capacity of watermarks, on the accuracy-quality tradeoff. Compared with previous SOTA, our method requires minimum computation and is more applicable to large-scale models. We use StyleGAN2 and the latent diffusion model to demonstrate the efficacy of our method.