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A study on the relationship between relaxed metrics and indistinguishability operators

Pilar Fuster-Parra, Javier Martin, Juan José Miñana, Óscar Valero
2019 Zenodo  
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

S. Mossahebi, S. Zhu, S. J. Kovacs
2015 Circulation Cardiovascular Imaging  
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  
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]

Yi-Hsiu Chen, Kai-Min Chung, Ching-Yi Lai, Salil P. Vadhan, Xiaodi Wu
2017 arXiv   pre-print
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]

Yusuke Kawamoto
2020 arXiv   pre-print
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

Joshua M. Tybur, Angela D. Bryan, Debra Lieberman, Ann E. Caldwell Hooper, Leslie A. Merriman
2011 Personality and Individual Differences  
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]

Shun Takagi and Yang Cao and Yasuhito Asano and Masatoshi Yoshikawa
2020 arXiv   pre-print
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

Eun-Young Lee, Michael R. Flynn, Guangwei Du, Mechelle M. Lewis, Rebecca Fry, Amy H. Herring, Eric Van Buren, Scott Van Buren, Lisa Smeester, Lan Kong, Qing Yang, Richard B. Mailman (+1 others)
2015 Toxicological Sciences  
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

Timothy J. Straub, Olga Zhaxybayeva
2017 Proceedings of the National Academy of Sciences of the United States of America  
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]

Mehmet Emre Gursoy, Acar Tamersoy, Stacey Truex, Wenqi Wei, Ling Liu
2019 arXiv   pre-print
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

Friedrich W. Hehl, Eric A. Lord, Larry L. Smalley
1981 General Relativity and Gravitation  
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

Konstantinos Chatzikokolakis, Catuscia Palamidessi, Marco Stronati
2015 Proceedings on Privacy Enhancing Technologies  
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

Shota Yamamoto, Takahiro Sanada, Mio Sakai, Atsuko Arisawa, Naoki Kagawa, Eku Shimosegawa, Katsuyuki Nakanishi, Yonehiro Kanemura, Manabu Kinoshita, Haruhiko Kishima
2022 Brain Sciences  
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

Damien Desfontaines, Balázs Pejó
2020 Proceedings on Privacy Enhancing Technologies  
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

Paul O'Hara
2005 Foundations of physics  
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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