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okay can you hear me now yes okay and do you have background noise because it is warm in here and iamp;#39;ve got the ac running but i donamp;#39;t want to have that white noise on the bothering everyone uh thereamp;#39;s no noise so great all right um so thank you very much for the uh lovely introduction and thank you everybody for the great talks before and iamp;#39;m going to take a slightly dif ask a slightly different question here namely i iamp;#39;m interested not necessarily so much in the training dynamics but in the hypothesis class for deep and very wide multi-layer networks and then the relation to training dynamics eventually but so um what iamp;#39;m going to so iamp;#39;m going to talk first about the continuous approach to mean machine learning and in relation to that possibly what is often described as the mean field regime and then weamp;#39;re going to talk about approximation properties of deep radio or multi-layer railroad networks which become very wide um
