Topological forms of Information Toward an Information topology
Daniel Bennequin, University Paris VII, joint work with Pierre Baudot, Max Planck, Leipzig
MaxEnt 2014 September 21-26
Le Clos Lucé, Amboise
I) Static Observation is given by variables X,Y,Z,… that are maps from Ω to sets E(X), E(Y), … On Ω are given probability laws, P,Q,… Here Ω is finite, of cardinality r, thus P is given by numbers p₁, p₂, …,pᵣ positive of sum 1, a point in the simplex Δ(Ω) of dimension r-1.
Information co-cohomology Consider functions
Theorem: H is the generator of H¹ Remark: Kullback distance is also a non-zero co-homology class D(X;P,Q), with one variable but two laws
Example of tree problem, and of MaxEnt Variables Values
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and the free trade economy is making such a system economically feasible. ... Vital components for human life are land, access to land and managing the land. ... are being developed with public funds, it is essential that methodologies be .... to the
May 13, 1998 - S containing a secret part is interpreted as a hypothesis testing problem. ... them to a high-security prison as soon as he detects any sign of a hidden message. ... Nevertheless, we believe that our model provides insight in steganogr
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proaches found in the literature as keyword spotting ... then filtering information sought. It seems ... try to segment a priori lines into words without recog-.
An Integrated Approach to Interface Design and Interaction Analysis ... design of the log analyzer, by requiring the development of a conceptual model that unifies ... A schema can be used by a human to understand or to impose the format of ... MIR a
Jan 18, 2007 - 2005 ICT GDP reflects an increase of 5.5% over 2004 and ... Automation, ..... is the lowest cost jurisdiction among the G-7 countries to do ...
Abstract. In this paper, we deal with information exchange policies that may exist in multi-agent systems in order to regulate exchanges of information between ...
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Nov 3, 1977 - companies of the Assured, provided that such waiver shall not apply ... (or by whatsoever name or names the said vessel is or shall be called).
ties of information measures; the data processing theorem; Fano's inequality. 2. ... memoryless sources, asymptotic equipartition property (AEP), block or fixed- ...
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