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A general setting for symmetric distributions and their relationship to general distributions

P.E. Jupp, G. Regoli, A. Azzalini
2016 Journal of Multivariate Analysis  
Since all symmetry is symmetry under the action of some group, the aim of this paper is to extend known results on symmetrical and asymmetrical distributions to a very general setting.  ...  A similar treatment for discrete variates is provided in [11] . The phrase 'skew-symmetric' is often used to refer to distributions of type (2) .  ... 
doi:10.1016/j.jmva.2016.02.011 fatcat:zjaqazcvtne5rnwxk63fl2q5ym

Large deviations of jump Markov processes with flat boundaries

Alan Weiss
1987 Stochastic Processes and their Applications  
For symmetric stable processes with 1 ~< a < 2 defined on infinite sets, an asymptotic lower bound for the supremum distribution function is given.  ...  The exact asymptotic behavior of supremum distribution functions is established for symmetric stable processes with 0 < a < 1, as well as for those defined on finite parameter sets.  ...  For symmetric stable processes with 1 ~< a < 2 defined on infinite sets, an asymptotic lower bound for the supremum distribution function is given.  ... 
doi:10.1016/0304-4149(87)90122-0 fatcat:rmbajyc37zcfhbpeuoblvz75lm

Arbitrary truncated Levy flight: Asymmetrical truncation and high-order correlations

Dmitry V. Vinogradov
2012 Physica A: Statistical Mechanics and its Applications  
The generalized correlation approach has been used to describe a non-Gaussian random walk with independent, identically distributed increments in the general case, and high-order correlations have been  ...  The cumulants of an asymmetrically truncated Levy distribution have been found. The behaviors of asymmetrically truncated Levy flight, as a particular case of a random walk, are considered.  ...  This dependence is a "visiting card" of a truncated distribution, and any probability distribution belongs to the class of truncated Levy distributions if their cumulant coefficients fulfill these requirements  ... 
doi:10.1016/j.physa.2012.06.022 fatcat:csxup3x72bd5llywnm2jlw5g2e

A generalization of the symmetrical and optimal probability-to-possibility transformations [article]

Esteve del Acebo, Yousef Alizadeh-Q, Sayyed Ali Hossayni
2019 arXiv   pre-print
parametric family of probability to possibility transformations which generalizes them and alleviate their shortcomings, showing a big potential for practical application.  ...  The paper also introduces a novel fuzzy measure of specificity for probability distributions based on the concept of fuzzy subsethood and presents a empirical validation of the generalized transformation  ...  consultor digital, RTC-2017-6370-7, CIEN Service Chain (Nuevas tecnologías basadas en blockchain para gestión de la identidad, confiabilidad y trazabilidad de las transacciones de bienes y servicios) and  ... 
arXiv:2001.00007v1 fatcat:3ys5yzwidbe3pf3p5qywfgnc4y

A Symmetric Fusion Learning Model for Detecting Visual Relations and Scene Parsing

Xuan Liu, Xiaochuan Jing, Zhong Zheng, Wanru Du, Xingxing Ding, Quan Zhu
2022 Scientific Programming  
Visual relationship detection (VRD) aims to locate objects and recognize their pairwise relationships for parsing scene graphs.  ...  To enable a higher understanding of the visual scene, we propose a symmetric fusion learning model for visual relationship detection and scene graph parsing.  ...  distribution for the data sets and H(p 2 , p 1 ) is the cross-entropy (L c ) of p 2 and p 1 .  ... 
doi:10.1155/2022/5985392 doaj:dfa8294e08e245c9a12dafb75ced2422 fatcat:p2mtoyqby5b47bwf7fvqp6yn5e

General Methodology for Analysis and Modeling of Trust Relationships in Distributed Computing

Weiliang Zhao, Vijay Varadharajan, George Bryan
2006 Journal of Computers  
In this paper, we discuss a general methodology for analysis and modeling of trust relationships in distributed computing.  ...  We provide a set of definitions for the properties of direction and symmetry of trust relationships.  ...  Our target is to achieve a general methodology for analysis and modeling of trust relationships in distributed information systems.  ... 
doi:10.4304/jcp.1.2.42-53 fatcat:lujcdnra7bcyvkirwollds77mi

Prevalence of exponential bed thickness distributions in the stratigraphic record: Experiments and theory

Kyle M. Straub, Vamsi Ganti, Chris Paola, Efi Foufoula-Georgiou
2012 Journal of Geophysical Research  
We also show that the variability of surface elevation increments, as measured by the interquartile range of their probability distribution, has a robust and well-defined relationship with the preserved  ...  We attribute this finding to the symmetric nature of the distribution of elevation increments (both erosional and depositional events) and the additive nature of the stratigraphic filter.  ...  David Mohrig, Brandon McElroy, and an anonymous reviewer are thanked for constructive reviews. Finally, we would like to thank B. A. Sheets and J. M.  ... 
doi:10.1029/2011jf002034 fatcat:q6h3i7skczh7dfpw24ezj4akke

Assignment of Calibration Information to Deeper Phylogenetic Nodes is More Effective in Obtaining Precise and Accurate Divergence Time Estimates

Beatriz Mello, Carlos G. Schrago
2014 Evolutionary Bioinformatics  
Bayesian dating methods exhibit the propriety of a linear relationship between uncertainty and estimated divergence dates.  ...  Assigning time information to the deeper nodes of a tree is crucial to guarantee the accuracy and precision of divergence times.  ...  We generated 100 replicate datasets for each studied topology (asymmetric and symmetric).  ... 
doi:10.4137/ebo.s13908 pmid:24855333 pmcid:PMC4022701 fatcat:2ktlvu36gzg75nhp2v3qz636wu

Variant Map Construction to Detect Symmetric Properties of Genomes on 2D Distributions

Jeffrey Zheng Weiqiong Zhang
2014 Journal of Data Mining in Genomics & Proteomics  
A set of sample 2D maps are included and their characteristics are illustrated under various controllable environment.  ...  Using the VMC system, two DNA data sets of multiple real sequences are tested to show their visible properties in higher levels of intrinsic relationships among relevant DNA sequences in 2D maps.  ...  Acknowledgement Thanks to the school of software Yunnan University, to the key laboratory of Yunnan software engineering and the key laboratory for Conservation and Utilization of Bio-resource for excellent  ... 
doi:10.4172/2153-0602.1000150 fatcat:vw4iu6jcdfhxtihtk4yndouzju

Analysis and Modelling of Trust in Distributed Information Systems [chapter]

Weiliang Zhao, Vijay Varadharajan, George Bryan
2005 Lecture Notes in Computer Science  
We provide a set of definitions to describe the properties of trust direction and trust symmetry under our taxonomy framework.  ...  In order to analyze and model the scope and diversity of trust relationship, we define trust scope label under our taxonomy framework.  ...  For the properties of trust symmetry, symmetric trust relationships, symmetric two-way trust relationship, and the whole set of trust relationships are defined.  ... 
doi:10.1007/11593980_8 fatcat:6lapwu4ygrb35i6xwttkawmbjy

Symmetry Perception by Deep Networks: Inadequacy of Feed-Forward Architectures and Improvements with Recurrent Connections [article]

Shobhita Sundaram, Darius Sinha, Matthew Groth, Tomotake Sasaki, Xavier Boix
2022 arXiv   pre-print
We demonstrate that feed-forward DNNs that excel at modelling human performance on object recognition tasks, are unable to acquire a general notion of symmetry.  ...  for novel images.  ...  Acknowledgments The authors wish to acknowledge and thank Prof. Pawan Sinha at the Department of Brain and Cognitive Sciences at MIT for his support and guidance.  ... 
arXiv:2112.04162v2 fatcat:ibdykd7kyzbd5jebktlvx5fkcy

Reconstruction of Semantic Relationships from Their Projections in Biomolecular Domain

Juho Heimonen, Jari Björne, Tapio Salakoski
2010 Workshop on Biomedical Natural Language Processing  
To move toward this objective, a method is proposed for reconstructing original semantic relationship graphs from projections, where each node and edge is mapped to the representative of its equivalence  ...  The reported results, to the best of our knowledge, are the first for the nested relationships in BioInfer on a task in which only named entities are given.  ...  Acknowledgements Thanks to Filip Ginter for his help with the parses. This study was funded by Academy of Finland. Computational resources were provided by CSC -IT Center for Science.  ... 
dblp:conf/bionlp/HeimonenBS10 fatcat:6ppbakazc5agtkxosks2feoebu

Topology of Complex Networks and Demand of Intraday Liquidity: Based on the Real-Time Gross Settlement System

Mu Tong, Yi He
2018 Central European Economic Journal  
The above findings are useful for the management and supervision of short-term liquidity demand in complex financial systems, and for liquidity risk management and liquidity rescue policymaking.  ...  The liquidity demand of the entire system is positive compared to the amount of leakage effect but uncorrelated to the distribution of the leakage effect among members, if the effect of strength distribution  ...  Two different number of nodes, n 1 = 30 and n 2 = 58, are set for every type of network (denoted by a subscript).  ... 
doi:10.1515/ceej-2017-0010 fatcat:bajmx3khjfhqdanoiyjt6ruhoy

Digraph Spectral Clustering with Applications in Distributed Sensor Validation

Yue-Jin Du, Hui Lu, Li-Dong Zhai
2014 International Journal of Distributed Sensor Networks  
However, the traditional spectral clustering is developed for undirected graph, and the naive generalization for directed graph by symmetrization of the adjacency matrix will lead to loss of network information  ...  In this paper, we develop a generalized digraph spectral clustering method.  ...  Acknowledgment This work is partially supported by the 863 National Hi-tech Research and Development Program (2011AA01A103).  ... 
doi:10.1155/2014/536901 fatcat:ze7l3fblkje3tmvalr4xwf3oaq

Page 2220 of Mathematical Reviews Vol. , Issue 94d [page]

1994 Mathematical Reviews  
The predictive distribution is given in the general case for the vector of fixed and random effects.  ...  Summary: “The forms of first and second posterior moments for a normal location parameter are identified for a rather general class of prior distributions.  ... 
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