This paper is a written version of a talk to be given on problems of filtering theory. It is a review of the linear theory and some of the recent fundamental ad\ ances in the nonlinear theory. Some open and quite interesting problems in the nonlinear theory are discussed.

The fundamental connection between the stability of linear filtering and linear systems theory was already remarked in Kalman’s seminal 1960 paper. Unfortunately, the linear theory relies heavily on the investigation of the explicit Kalman filtering equations, and sheds little light on the behavior of nonlinear filters. Nonetheless, it is possible to establish surprisingly general connections b...

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Recent developments in quantum technology mean that is it now possible to manipulate systems and measure fermion fields (e.g. reservoirs of electrons) at the quantum level. This progress has motivated some recent work on filtering theory for quantum systems driven by fermion fields by Korotkov, Milburn and others. The purpose of this paper is to develop fermion filtering theory using the fermio...

This paper provides an intelligent multiagent approach to incorporate human temperaments into the filtering process of an information recommendation service. Our approach is to devise a new filtering mechanism, which addresses segmentation, learning, classification, and filtering techniques based on Keirsey’s temperament theory, probability theory, the distributions of temperaments, and statist...