Computer Engineering Commons^™

Multi-Resolution Data Processing: It Is Necessary, It Is Possible, It Is Fundamental, Scott A. Starks, Vladik Kreinovich, Alex Meystel

Departmental Technical Reports (CS)

Experience shows that many data processing problems are difficult to solve, and some of these problems have even been proven to be computationally intractable. Human experts successfully solve many such problems by using a hierarchical, multi-resolution approach. These multi-resolution methods are, in several cases, provably optimal. However, due to the computational intractability of the problem itself, the multi-resolution approach can only work if the systems that we are analyzing are themselves hierarchical. We show that, first, due to (inevitable) measurement inaccuracies, an arbitrary input data is consistent with the hierarchical model, and second, that in many cases, the actual physical …