Director of the Advanced Wireless Technology Lab, Paris
16th February 2022, 5:00pm – 6:00pm (GST)
Semantic Information II : Spaces of information
This second part is a generalization of the first part and it is mainly driven by Artificial Intelligence applications. We give, in this second part, the general definition of a Grothendieck topos and show that the words of the language are expressed by the objects of the site that generates the topos when the semantics is expressed, through the interpreting models, by the points of the topos. From there, we suggest that a measure of semantic information should not be given by a simple numerical value, as it is the case for Shannon information theory, but by natural topological (simplicial) spaces, associated to theories and sentences in the language, thus generalizing the ideas of Carnap and Bar-Hillel who were considering set-valued measures.
Jean-Claude Belfiore graduated from Supelec, got his PhD from Telecom Paris and the Habilitation from Université Pierre et Marie Curie (UPMC). He has been a professor at Telecom Paris in the Communications & Electronics department until 2015. In 2015, he joined the Mathematical and Algorithmic Sciences Lab of Huawei as head of the Communication Science Department. Jean-Claude Belfiore has made pioneering contributions on modulation and coding for wireless systems (especially space-time coding) by using tools of number theory. He is also one of the co-inventors of the celebrated Golden Code of the Wi-Max standard. Jean-Claude Belfiore is author or co-author of more than 200 technical papers and communications and has served as advisor for more than 30 Ph.D. students. He was Associate Editor of the IEEE Transactions on Information Theory for Coding Theory and has been the recipient of the 2007 Blondel Medal. Since Jean-Claude Belfiore has joined Huawei Paris Research Center, he has been involved in the 5G standardization process, essentially in Channel Coding (Polar Codes for 5G) and he is currently working in the area of AI for 6G and semantic information. Since 2021 he is the director of the Huawei Advanced Wireless Technology Lab, Paris.