Modular representations of Loewy length two by M. E. Charkani, S. Bouhamidi

“…Let G be a finite p-group, K a field of characteristic p, and J the radical of the group algebra K[G]. We study modular representations using some new results of the theory of extensions of modules. …”
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One of the approaches to the organization of the modern educational process by A. G. Savenko, Yu. A. Skudnyakov

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Nonlinear transform coding for semantic communications by Ping ZHANG, Jincheng DAI, Yuming ZHANG, Sixian WANG, Xiaoqi QIN, Kai NIU

“…The modular design and limited processing mechanism of traditional communication systems limit the continuous improvement of end-to-end data transmission capability.For this reason, a new nonlinear transform coding framework for semantic communications was proposed.First, an end-to-end rate distortion optimization criterion for semantic communication was derived based on variational theory.Based on this, a nonlinear transform was designed to extract the compact representation of source data in the semantic latent space, and variable-rate nonlinear joint source-channel coding was implemented through the guidance of variational entropy model.Experiments show that semantic nonlinear transform coding can significantly improve the end-to-end data transmission performance and robustness, and is one of the key technologies to catalyze future semantic communications.…”
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