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A study on the relationship between relaxed metrics and indistinguishability operators
2019
Zenodo
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In the study of such a class of operators, an outstanding property must be stressed. Concretely, there exists a duality relationship between indistinguishability operators and metrics. ...
The main purpose of the present paper is to explore the possibility of making explicit a duality relationship between indistinguishability operators and relaxed metrics in such a way that the aforementioned ...
Ethical approval: This article does not contain any studies with human participants or animals performed by any of the authors. ...
doi:10.5281/zenodo.4967197
fatcat:vuhj7ftxw5hqjid534e5awpxwi
Fractionating E-Wave Deceleration Time Into Its Stiffness and Relaxation Components Distinguishes Pseudonormal From Normal Filling
2015
Circulation Cardiovascular Imaging
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The method has been validated with DT s and DT r correlating with simultaneous catheterization-derived stiffness (dP/dV) and relaxation (τ) with r=0.82 and r=0.94, respectively. ...
Background-Pseudonormal Doppler E-wave filling patterns indicate diastolic dysfunction but are indistinguishable from the normal filling pattern. ...
Sources of Funding This work was supported in part by the Alan A. and Edith L Wolff Charitable Trust, St. Louis, and the Barnes-Jewish Hospital Foundation. ...
doi:10.1161/circimaging.114.002177
pmid:25596141
fatcat:4twfqeb4njdilflvsdbvhj7cte
Page 2611 of Mathematical Reviews Vol. , Issue 83f
[page]
1983
Mathematical Reviews
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The author studies the relationships between the Belinskii- Zakharov (BZ) and the Hauser- Ernst (HE) inverse scattering methods for the vacuum Einstein equations with two commuting Killing fields. ...
2611 RELATIVITY
accelerations, imposed at equal times as judged in any inertial system, is indistinguishable from an unaccelerated system by operations performable within the closed system; and (3) a kinematics ...
Computational Notions of Quantum Min-Entropy
[article]
2017
arXiv
pre-print
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We initiate the study of computational entropy in the quantum setting. ...
Moreover, we introduce a variety of notions that combine quantum information and quantum complexity, and this raises several directions for future work. ...
CYL acknowledges useful discussions with Todd A. Brun and Nengkun Yu. ...
arXiv:1704.07309v4
fatcat:tfqaqllhprhepddqrvw7wzytse
An Epistemic Approach to the Formal Specification of Statistical Machine Learning
[article]
2020
arXiv
pre-print
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Specifically, we introduce a formal model for supervised learning based on a Kripke model where each possible world corresponds to a possible dataset and modal operators are interpreted as transformation ...
In this formalization, we show relationships among properties of classifiers, and relevance between classification performance and robustness. ...
Acknowledgements I would like to thank the reviewers for their helpful and insightful comments. I am also grateful to Gergei Bana for his useful comments on part of a preliminary manuscript. ...
arXiv:2004.12734v2
fatcat:eqsgfcdcjngntkingfrqy4ecxy
Sex differences and sex similarities in disgust sensitivity
2011
Personality and Individual Differences
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However, correlations between Three Domain Disgust Scale factors and the five factors and 30 facets of the NEO Personality Inventory were indistinguishable between the sexes. ...
In Study 1, we find that the Three Domain Disgust Scale has indistinguishable factor structure and factor loadings for men and women. ...
In Study 2, we found that the TDDS demonstrates indistinguishable concurrent validity with the NEO PI-3 for men and women. ...
doi:10.1016/j.paid.2011.04.003
fatcat:fyrdu7r2jjhwfbbmn7c6ntbicu
Geo-Graph-Indistinguishability: Location Privacy on Road Networks Based on Differential Privacy
[article]
2020
arXiv
pre-print
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This causes unnecessary noise and thus an insufficient tradeoff between utility and privacy for LBSs on road networks. ...
To address this issue, we propose a new privacy notion, Geo-Graph-Indistinguishability (GG-I), for locations on a road network to achieve a better tradeoff. ...
ACKNOWLEDGEMENTS This work is partially supported by the Japan Society for the Promotion of Science ( ...
arXiv:2010.13449v1
fatcat:xe3towc7a5gjxasqnircn5rxwu
T1 Relaxation Rate (R1) Indicates Nonlinear Mn Accumulation in Brain Tissue of Welders With Low-Level Exposure
2015
Toxicological Sciences
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This study explored: (1) whether T1 relaxation rate (R1) could quantify brain Mn accumulation more sensitively; and (2) the dose-response relationship between estimated Mn exposure and T1 relaxation rate ...
Moreover, the nonlinear relationship between welding exposure and Mn brain accumulation should be considered in future studies and policies. ...
ACKNOWLEDGMENTS We thank all the volunteers who participated in this study. ...
doi:10.1093/toxsci/kfv088
pmid:25953701
pmcid:PMC4607746
fatcat:hwovqigwjvhr7cgw267wkl6oie
A null model for microbial diversification
2017
Proceedings of the National Academy of Sciences of the United States of America
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Via a combination of simulations and analyses of core and phylogenetic marker genes, we show that patterns of diversity for the genera Escherichia, Neisseria, and Borrelia are generally indistinguishable ...
Taken together, we recommend the presented birth−death model as a null hypothesis in prokaryotic speciation studies. ...
Ford Doolittle for numerous stimulating discussions of the project and for comments on the manuscript. We also thank Drs. ...
doi:10.1073/pnas.1619993114
pmid:28630293
pmcid:PMC5502593
fatcat:gtcwtjby2zhklpnjn7tzrtjrre
Secure and Utility-Aware Data Collection with Condensed Local Differential Privacy
[article]
2019
arXiv
pre-print
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In this paper, we address the small user population problem by introducing the concept of Condensed Local Differential Privacy (CLDP) as a specialization of LDP, and develop a suite of CLDP protocols that ...
OSs, and inspecting suspicious activities on infected machines. ...
The first author acknowledges the internship at Symantec in Summer 2018 and the discussions during that intern with Dr. Kevin Roundy, Dr. Chris Gates, Dr. Daniel Marino, and Dr. ...
arXiv:1905.06361v2
fatcat:phtmheqxhrhylguu2gpvphpr3u
Metric-affine variational principles in general relativity II. Relaxation of the Riemannian constraint
1981
General Relativity and Gravitation
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We continue our investigation of a variational principle for general relativity in which the metric tensor and the (asymmetric) linear connection are varied independently. ...
The outcome of this procedure is a gravitational theory formulated in a volume-preserving space-time (i.e., with torsion and tracefree nonmetricity). ...
The choice of the Lagrangian in metric-affine gravity is discussed in the interesting articles by Kfimpfer [33] and Sijacki [34] . ...
doi:10.1007/bf00756364
fatcat:nsgxppdhsfgglknf2paponl7yu
Constructing elastic distinguishability metrics for location privacy
2015
Proceedings on Privacy Enhancing Technologies
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Although geo-indistinguishability presents various appealing aspects, it has the problem of treating space in a uniform way, imposing the addition of the same amount of noise everywhere on the map. ...
We also show how such an elastic metric can easily incorporate the concept of a "geographic fence" that is commonly employed to protect the highly recurrent locations of a user, such as his home or work ...
Distinguishability level and A point worth emphasizing is the role of the distinguishability level, and its relationship to in each definition. ...
doi:10.1515/popets-2015-0023
dblp:journals/popets/Chatzikokolakis15
fatcat:xqtearjzwjgetkx2hi6242i7a4
Prediction and Visualization of Non-Enhancing Tumor in Glioblastoma via T1w/T2w-Ratio Map
2022
Brain Sciences
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This research study investigated the possibility of using rT1/T2 as a surrogate for the T1- and T2-relaxation time of GBM to visualize NET effectively. ...
The distributions of rT1/T2 from Met-PET high and low T2-FLAIR hyperintense lesions were different and a novel metric named Likeliness of Methionine PET high (LMPH) deriving from rT1/T2 was statistically ...
Analysis of the Relationship between T1-and T2-Relaxation Maps and rT1/T2 We first evaluated whether rT1/T2 could be a reliable surrogate for the T1-and T2relaxation time. ...
doi:10.3390/brainsci12010099
pmid:35053842
pmcid:PMC8774070
fatcat:bvq5cf5lfvd33pyt7ghxsg3g5q
SoK: Differential privacies
2020
Proceedings on Privacy Enhancing Technologies
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We also establish a partial ordering of relative strength between these notions by summarizing existing results. ...
We list all data privacy definitions based on differential privacy, and partition them into seven categories, depending on which aspect of the original definition is modified.These categories act like ...
Further relaxations from [139] are tuple indistinguishability, relaxed indistinguishability and bounded adversarial privacy. ...
doi:10.2478/popets-2020-0028
fatcat:biuhpjbxsfgkldem62xmq73ipe
Quantum Mechanics and the Metrics of General Relativity
2005
Foundations of physics
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A one-to-one correspondence is established between linearized space-time metrics of general relativity and the wave equations of quantum mechanics. ...
Also, the key role of boundary conditions in distinguishing quantum mechanics from classical mechanics will emerge naturally from the procedure. ...
I would also hope that further studies will be carried out on the relationship between confinement problems in general and quantum boundary conditions. 2 2 The Dirac equation defined over the manifold ...
doi:10.1007/s10701-005-6483-z
fatcat:kshsdd6bmbg7pmecey6fnn7kay
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