Autoencoders Trained With Relevant Information: Blending Shannon And Wiener'S Perspectives

It is almost seventy years after the publication of Claude Shannon's "A Mathematical Theory of Communication" [1] and Norbert Wiener's "Extrapolation, Interpolation and Smoothing of Stationary Time Series" [2]. The pioneering works of Shannon and Wiener lay the foundation of communication, data storage, control, and other information technologies. This paper briefly reviews Shannon and Wiener's perspectives on the problem of message transmission over noisy channel and also experimentally evaluates the feasibility of integrating these two perspectives to train autoencoders close to the information limit. To this end, the principle of relevant information (PRI) is used and validated to optimally encode input imagery in the presence of noise.