Resource Constrained Sensor Attacks by Minimizing Fisher Information

Ziemann, Ingvar

doi:10.23919/acc50511.2021.9482865

Cited by 2 publications

(1 citation statement)

References 23 publications

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“…The concept of Extreme Physical Information (EPI) proposed by B. Roy Friden states that many fundamental scientific laws can be derived from Fisher information. This is controversial [8], but research directions based on extreme values of Fisher information remain attractive and promising [10,9,11]. Fisher information minimization leads (under certain conditions) to second-order differential equations that are often related to the fundamental laws of physics.…”

Section: Fisher Informationmentioning

confidence: 99%

Transactional Interpretation for the Principle of Minimum Fisher Information

Makowski,

Piotrowski,

Frąckiewicz

et al. 2022

Preprint

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The principle of minimum Fisher information states that in the set of acceptable probability distributions characterizing the given system, it is best done by the one that minimizes the corresponding Fisher information. This principle can be applied to transaction processes, the dynamics of which can be interpreted as the market tendency to minimize the information revealed about itself. More information involves higher costs (information is physical). The starting point for our considerations is a description of the market derived from the assumption of minimum Fisher information for a strategy with a fixed financial risk. Strategies of this type that minimize Fisher information overlap with the well-known eigenstates of a the quantum harmonic oscillator. The analytical extension of this field of strategy to the complex vector space (traditional for quantum mechanics) suggests the study of the interference of the oscillator eigenstates in terms of their minimization of Fisher information. It is revealed that the minimum value of Fisher information of the superposition of the two strategies being the ground state and the second excited state of the oscillator, has Fisher information less than the ground state of the oscillator. Similarly, less information is obtained for the system of strategies (the oscillator eigenstates) randomized by the Gibbs distribution. We distinguish two different views on the description of Fisher information. One of them, the classical, is based on the value of Fisher information.

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Section: Fisher Informationmentioning

confidence: 99%