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A Brief Treatise On Bayesian Inverse Regression., Debashis Chatterjee Dr. Dec 2021

A Brief Treatise On Bayesian Inverse Regression., Debashis Chatterjee Dr.

Doctoral Theses

Inverse problems, where in a broad sense the task is to learn from the noisy response about some unknown function, usually represented as the argument of some known functional form, has received wide attention in the general scientific disciplines. However, apart from the class of traditional inverse problems, there exists another class of inverse problems, which qualify as more authentic class of inverse problems, but unfortunately did not receive as much attention.In a nutshell, the other class of inverse problems can be described as the problem of predicting the covariates corresponding to given responses and the rest of the data. …


A Method Of Presenting Experimental Dependencies In Solving Inverse Problems, Anatoliy Fyodorovich Verlan, Miraziz Vorisovich Sagatov Oct 2021

A Method Of Presenting Experimental Dependencies In Solving Inverse Problems, Anatoliy Fyodorovich Verlan, Miraziz Vorisovich Sagatov

Chemical Technology, Control and Management

Scientific interest in the creation, research and application of methods and means for solving inverse problems is determined by the need for the development of new methods of signal processing, as well as the increased complexity of inverse problems in relation to direct problems, since the latter are not correct from a mathematical point of view and have a number of peculiarities. Since the input information in inverse problems is experimental data determined with a certain error, the resulting solution can differ greatly from the exact solution. An arbitrary discretely given function of time can be approximated with a predetermined …