Žampa’s Systems Theory: A Comprehensive Theory of Measurement in Dynamic Systems

Rychtáriková, Renata; Urban, Jan; Štys, Dalibor

doi:10.14311/ap.2018.58.0128

Cited by 1 publication

(1 citation statement)

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“…While in this work we emphasised the viewpoint of the defender, future work can investigate the adversary’s problem of robust inference further. Moreover, as suggested by one reviewer, the implication of our results to a general system design and analysis, for instance in the sense of Žampa’s systems theory [ 27 ], will be an interesting trajectory. This is inspired by the observation that our notion of a “channel” can be seen as an example of a “stochastic (abstract) system”.…”

Section: Discussionmentioning

confidence: 70%

Optimal Channel Design: A Game Theoretical Analysis

Khouzani

Malacaria

2018

Entropy

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This paper studies the problem of optimal channel design. For a given input probability distribution and for hard and soft design constraints, the aim here is to design a (probabilistic) channel whose output leaks minimally from its input. To analyse this problem, general notions of entropy and information leakage are introduced. It can be shown that, for all notions of leakage here defined, the optimal channel design problem can be solved using convex programming with zero duality gap. Subsequently, the optimal channel design problem is studied in a game-theoretical framework: games allow for analysis of optimal strategies of both the defender and the adversary. It is shown that all channel design problems can be studied in this game-theoretical framework, and that the defender’s Bayes–Nash equilibrium strategies are equivalent to the solutions of the convex programming problem. Moreover, the adversary’s equilibrium strategies correspond to a robust inference problem.

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Section: Discussionmentioning

confidence: 70%