We use the discrete variablezd,t to represent the topic that thetth word is generated from.

Deep learning algorithms have recently gained significant attention due to their impressive performance.

The proposed indicators adequately measure the effectiveness of the soft labels generated in this process.

Missing values in real-world data pose a significant and unique challenge to algorithmic fairness.

This paper presents a novel approach to multiobjective algorithms aimed at modeling the Pareto set using neural networks. Whereas previous methods mainly focused on identifying a finite number of solutions, our approach allows for the direct modeling of the entire Pareto set. Furthermore, we establish an equivalence between learning the complete Pareto set and maximizing the associated hypervolume, which enables the convergence analysis of hypervolume (as a new metric) for Pareto set learning. Specifically, our new analysis framework reveals the connection between the learned Pareto solution and its representation in a polar coordinate system. We evaluate our proposed approach on various benchmark problems and real-world problems, and the encouraging results make it a potentially viable alternative to existing multiobjective algorithms.

ModernCNNscanreachhundreds of millions of parameters and billions of operations, which makes it difficult to deploy. To alleviate aforementioned problem, various methods have been proposed to increase the efficiency of CNNs.