Time series forecasting is widely applied in fields such as energy and network security. Various prediction models based on Transformer and MLP architectures have been proposed. However, their performance may decline to varying degrees when applied to real-world sequences with significant non-stationarity. Traditional approaches generally adopt either stabilization or a combination of stabilization and non-stationarity compensation for prediction tasks. However, non-stationarity is a crucial attribute of time series; the former approach tends to eliminate useful non-stationary patterns, while the latter may inadequately capture non-stationary information. Therefore, we propose DiffMixer, which analyzes and predicts different frequencies in non-stationary time series. We use Variational Mode Decomposition (VMD) to obtain multiple frequency components of the sequence, Multi-scale Decomposition (MsD) to optimize the decomposition of downsampled sequences, and Improved Star Aggregate-Redistribute (iSTAR) to capture interdependencies between different frequency components. Additionally, we employ the Frequency domain Processing Block (FPB) to capture global features of different frequency components in the frequency domain, and Dual Dimension Fusion (DuDF) to fuse different frequency components in two dimensions, enhancing the predictive fit for various frequencies. Compared to previous state-of-the-art methods, DiffMixer reduces the Mean Squared Error (MSE), Mean Absolute Error (MAE), Root Mean Squared Error (RMSE), and Symmetric Mean Absolute Percentage Error (SMAPE) by 24.5%, 12.3%, 13.5%, and 6.1%, respectively.
Incomplete multi-view clustering (IMVC) has become an area of increasing focus due to the frequent occurrence of missing views in real-world multi-view datasets. Traditional methods often address this by attempting to recover the missing views before clustering. However, these methods face two main limitations: (1) inadequate modeling of cross-view consistency, which weakens the relationships between views, especially with a high missing rate, and (2) limited capacity to generate realistic and diverse missing views, leading to suboptimal clustering results. To tackle these issues, we propose a novel framework, Joint Generative Adversarial Network and Alignment Adversarial (JGA-IMVC). Our framework leverages adversarial learning to simultaneously generate missing views and enforce consistency alignment across views, ensuring effective reconstruction of incomplete data while preserving underlying structural relationships. Extensive experiments on benchmark datasets with varying missing rates demonstrate that JGA-IMVC consistently outperforms current state-of-the-art methods. The model achieves improvements of 3 % to 5 % in key clustering metrics such as Accuracy, Normalized Mutual Information (NMI), and Adjusted Rand Index (ARI). JGA-IMVC excels under high missing conditions, confirming its robustness and generalization capabilities, providing a practical solution for incomplete multi-view clustering scenarios.

