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Titolo presentazione sottotitolo Milano, XX mese 20XX The CICT IOU Reference Framework for Stronger AMS System Simulation in Science and Industry Rodolfo A Fiorini MCSI 2017 4th International Conference on Mathematics and Computers in Sciences and Industry Corfu Island, Greece August 24 26, 2017 2 Rodolfo A Fiorini « Le seul véritable voyage ce ne serait pas d'aller vers de nouveaux paysages , mais d'avoir d'autres yeux … » Valentin Louis Georges Eugène Marcel Proust (1871 1922) from La Prisonnière (1923) The CICT IOU Reference Framework for Stronger AMS System Simulation in Science and Industry 3 Presentation Outline 1 Introduction (08) • Robert Rosen Fundamental Modeling Relation • Current Computational System Limitations 2 New Vision on Mathematics (05) • CICT IOU Framework • CICT Solution to the Problem for AMS System Modeling 3 New Predicative and Numerical Competence ( 17) • Predicative Competence • Numerical Competence Rodolfo A Fiorini 4 CICT Fundamental Concepts ( 20) • CICT Discrete Riemannian Space • Solid Number The CICT IOU Reference Framework for Stronger AMS System Simulation in Science and Industry 5 Conclusion (06) • Half Plane Space vs CICT OECS Space • Current Landscape of Geometric Science of Information 4 1 Introduction (08) • Robert Rosen Fundamental Modeling Relation • Current Computational System Limitations Rodolfo A Fiorini The CICT IOU Reference Framework for Stronger AMS System Simulation in Science and Industry 5 Robert Rosen Fundamental Modeling Relation The CICT IOU Reference Framework for Stronger AMS System Simulation in Science and Industry Rodolfo A Fiorini 6 The Root of the Current Problem for AMS System Modeling TD POV BU POV The CICT IOU Reference Framework for Stronger AMS System Simulation in Science and Industry Rodolfo A Fiorini 7 Rodolfo A Fiorini Current Number Theory and modern Numeric Analysis still use LTR (Left To Right) mono directional interpretation only for numeric group generator and relations, so information entropy generation cannot be avoided in current computational algorithm and application Furthermore, traditional digital computational resources are unable to capture and to manage not only the full information content of a single Real Number R , but even Rational Number Q is managed by information dissipation (e g finite precision machine, truncating, rounding, etc ) So, paradoxically if you don't know the code used to communicate a message you can't tell the difference between an information rich message and a random jumble of letters This is the information double bind (IDB) problem in contemporary classic information theory and in current Science (nobody likes to talk about it ) The CICT IOU Reference Framework for Stronger AMS System Simulation in Science and Industry 8 Rodolfo A Fiorini Example: Image Lossless Compression Test (4,096 by 4,096 pixel, 16,777,216 true color image) H 1(X) = 0 999292 (single precision arithmetic) H 2(X ) = 0 999292377044885 (double precision arithmetic) H 3(X) = 09992923770448853118692398478371254320637916484441241727700678337 (64 digit precision arithmetic) H 1(X) = 1 000000 (single precision arithmetic) H 2(X ) = 0 99999999993863 (double precision arithmetic) H 3(X) = 09999999999386299832757821470665551348090603855394427152819771884 (64 digit precision arithmetic) (R A Fiorini , 2014 ) The CICT IOU Reference Framework for Stronger AMS System Simulation in Science and Industry 9 To achieve reliable system intelligence outstanding results , current computational system modeling and simulation community has to face and to solve two orders of modeling limitations at least, immediately : (1 ) To develop stronger, more effective and reliable neural correlates by the correct arbitrary multi scale (AMS) modeling approach for complex system ; (2 ) To minimize the traditional limitation of current digital computational resources that are unable to capture and to manage exactly even the full information content of a single Rational Number Q , leading to computational noise, information dissipation and knowledge ambiguity and opacity ` Current Computational System Limitations Rodolfo A