Watermarking serves as a widely adopted approach to safeguard media copyright. In parallel, the research focus has extended to watermark removal techniques, offering an adversarial means to enhance watermark robustness and foster advancements in the watermarking field. Existing watermark removal methods mainly rely on UNet with task-specific decoder branches--one for watermark localization and the other for background image restoration. However, watermark localization and background restoration are not isolated tasks; precise watermark localization inherently implies regions necessitating restoration, and the background restoration process contributes to more accurate watermark localization. To holistically integrate information from both branches, we introduce an implicit joint learning paradigm. This empowers the network to autonomously navigate the flow of information between implicit branches through a gate mechanism. Furthermore, we employ cross-channel attention to facilitate local detail restoration and holistic structural comprehension, while harnessing nested structures to integrate multi-scale information. Extensive experiments are conducted on various challenging benchmarks to validate the effectiveness of our proposed method. The results demonstrate our approach's remarkable superiority, surpassing existing state-of-the-art methods by a large margin.
Performance benchmarking is a crucial component of time series classification (TSC) algorithm design, and a fast-growing number of datasets have been established for empirical benchmarking. However, the empirical benchmarks are costly and do not guarantee statistical optimality. This study proposes to benchmark the optimality of TSC algorithms in distinguishing diffusion processes by the likelihood ratio test (LRT). The LRT is optimal in the sense of the Neyman-Pearson lemma: it has the smallest false positive rate among classifiers with a controlled level of false negative rate. The LRT requires the likelihood ratio of the time series to be computable. The diffusion processes from stochastic differential equations provide such time series and are flexible in design for generating linear or nonlinear time series. We demonstrate the benchmarking with three scalable state-of-the-art TSC algorithms: random forest, ResNet, and ROCKET. Test results show that they can achieve LRT optimality for univariate time series and multivariate Gaussian processes. However, these model-agnostic algorithms are suboptimal in classifying nonlinear multivariate time series from high-dimensional stochastic interacting particle systems. Additionally, the LRT benchmark provides tools to analyze the dependence of classification accuracy on the time length, dimension, temporal sampling frequency, and randomness of the time series. Thus, the LRT with diffusion processes can systematically and efficiently benchmark the optimality of TSC algorithms and may guide their future improvements.