Geometric Science of Information

doi:10.1007/978-3-642-40020-9

Cited by 17 publications

(2 citation statements)

References 9 publications

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“…[16][17][18][19][20] In addition, probabilistic approaches that do not require a priori knowledge of the temporal correspondence between sensor measurements have also been proposed. [21][22][23] The BXp formulation can typically compute a better X than the AX ¼ XB formulation due to its lower elevational dimension error when collecting data points. Acquiring the transformation A in AX ¼ XB requires a phantom with structure(s) such as a line(s) or wall(s).…”

Section: Solving Ultrasound Calibration Problemmentioning

confidence: 99%

Phantom with multiple active points for ultrasound calibration

et al. 2018

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Accurate tracking and localization of ultrasound (US) images are used in various computer-assisted interventions. US calibration is a preoperative procedure to recover the transformation bridging the tracking sensor and the US image coordinate systems. Although many calibration phantom designs have been proposed, a limitation that hinders the resulted calibration accuracy is US elevational beam thickness. Previous studies have proposed an active-echo (AE)-based calibration concept to overcome this limitation by utilizing dynamic active US feedback from a single PZT element-based phantom, which assists in placing the phantom within the US elevational plane. However, the process of searching elevational midplane is time-consuming and requires dedicated hardware to enable "AE" functionality. Extending this active phantom, we present a US calibration concept and associated mathematical framework enabling fast and accurate US calibration using multiple "active" points. The proposed US calibration can simplify the calibration procedure by minimizing the number of times midplane search is performed and shortening calibration time. This concept is demonstrated with a configuration mechanically tracking a US probe using a robot arm. We validated the concept through simulation and experiment, and achieved submillimeter calibration accuracy. This result indicates that the multiple activepoint phantom has potential to provide superior calibration performance for applications requiring high tracking accuracy.

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Section: Solving Ultrasound Calibration Problemmentioning

confidence: 99%

Phantom with multiple active points for ultrasound calibration

et al. 2018

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“…Actually, the q-distribution belongs to the generalized exponential family introduced by Naudts [17,18], who studied the associated entropies and the corresponding generalized thermostatistics [19,20]. The generalized exponential family has a rich geometry that admits two kinds of dualistic Hessian structures [21], giving rise to dual statistical manifolds. It is obtained by replacing, in the expression for the distribution, the ordinary exponential function with its deformed version [22,23] and includes non-Gibbsian distributions used in the study of generalized statistical mechanics like the already cited q-distribution, the κ-distribution [24,25], the two-parameter deformed distribution [26] and others.…”

Section: Introductionmentioning

confidence: 99%

Legendre structure of κ-thermostatistics revisited in the framework of information geometry

Scarfone¹,

Wada²

2014

J. Phys. A: Math. Theor.

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Information geometry is a powerful framework in which to study families of probability distributions or statistical models by applying differential geometric tools. It provides a useful framework for deriving many important structures in probability theory by identifying the space of probability distributions with a differentiable manifold endowed with a Riemannian metric. In this paper, we revisit some aspects concerning the κ-thermostatistics based on the entropy Sκ in the framework of information geometry. After introducing the dually flat structure associated with the κ-distribution, we show that the dual potentials derived in the formalism of information geometry correspond to the generalized Massieu function Φκ and the generalized entropy Sκ characterizing the Legendre structure of the κ-deformed statistical mechanics. In addition, we obtain several quantities, such as escort distributions and canonical divergence, relevant for the further development of the theory.

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“Potentialities or possibilities”: Towards quantum information science?

Bawden

Robinson

Siddiqui

2014

Asso for Info Science & Tech

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent repository link AbstractThe use of quantum concepts and formalism in the information sciences is assessed through an analysis of published literature. Five categories are identified: use of loose analogies and metaphors between concepts in quantum physics and library/information science; use of quantum concepts and formalisms in information retrieval; use of quantum concepts and formalisms in studying meaning and concepts; quantum social science, in areas adjacent to information science; and the qualitative application of quantum concepts in the information disciplines. Quantum issues have led to demonstrable progress has been made in information retrieval and semantic modelling, with less clear cut progress elsewhere. Whether there may be a future 'quantum turn' in the information sciences is debated, the implications of such a turn considered, and a research agenda outlined. IntroductionOver a period of many years, and with increasing frequency in the past decade, quantum concepts have appeared in the literature of the social sciences in general, and the library/information sciences (LIS) in particular. This manifestation has taken several forms. Many have been passing mentions: loose analogies and empty metaphors. Some have applied a mathematical formalism, sometimes with a clear justification, sometimes just because it works. Some have used detailed and rich metaphors and analogies, linking concepts from the physical world with the social and informational realm, and some have claimed that such a linkage is 'real'. Others have argued that there is a general intellectual movement, a zeitgeist, centred around quantum concepts, and that the social sciences, including LIS, should partake in this.

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Geometric Science of Information

Cited by 17 publications

References 9 publications

Phantom with multiple active points for ultrasound calibration

Phantom with multiple active points for ultrasound calibration

Legendre structure of κ-thermostatistics revisited in the framework of information geometry

“Potentialities or possibilities”: Towards quantum information science?

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