Synopsis
Why the Techniques Developed in this Book are Important? (A Few Examples of Applications).- Part I: Foundations.Basic Mathematical Facts.- Part II: Dynamic Pattern Recognition Problems and Control over Classification Reliability. 'Voting by a Set of Features' Algorithms.- Dynamic and Limit Classification Problems.- Dual Systems of Sets and Local Stability of Classification.- Investigation of Earthquake-prone Areas as a Limit Pattern Recognition Problem.- Control Experiments of Evaluating Classification Reliability.- Part III: Dynamic Systems. Basic Definitions and Facts.- Geometry of Attractors.- Bifurcation, Cascades and Chaos.- Self Organisation.- Multifractals.- Part IV: Convex Programming and Systems of Rigid Blocks with Deformable Layers. Systems of Rigid Blocks with Thin Deformable Layers (SRBTDL).- System of Rigid and Deformable Blocks (SRDB).-Part V: Bibliography.- Part VI: Index.
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