{"title":"A review on probabilistic models used in microbiome studies","authors":"Ahmed A. Metwally, Hani Aldirawi, Jie Yang","doi":"10.4310/CIS.2018.V18.N3.A3","DOIUrl":"https://doi.org/10.4310/CIS.2018.V18.N3.A3","url":null,"abstract":"In this paper, we first briefly review the background and signifi-cance of the microbiome, the technologies used for collecting microbiome data, and some public resources for downloading microbiome data. We then review the probabilistic models used in the literature in two categories: (1) for read counts from a specific feature, including Poisson, negative binomial, zero-inflated and hurdle models; (2) for read counts from multiple features, including Dirichlet-multinomial, generalized Dirichlet-multinomial, and zero-inflated models, as well as a nonparametric Bayesian model for a flexible number of features. We also review comprehensive comparisons among different probabilistic models.","PeriodicalId":185710,"journal":{"name":"Commun. Inf. Syst.","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131562058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Monotonicity of Entropy and Fisher Information: A Quick Proof via Maximal Correlation","authors":"T. Courtade","doi":"10.4310/CIS.2016.V16.N2.A2","DOIUrl":"https://doi.org/10.4310/CIS.2016.V16.N2.A2","url":null,"abstract":"A simple proof is given for the monotonicity of entropy and Fisher information associated to sums of i.i.d. random variables. The proof relies on a characterization of maximal correlation for partial sums due to Dembo, Kagan and Shepp.","PeriodicalId":185710,"journal":{"name":"Commun. Inf. Syst.","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127387999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A randomized covering-packing duality between source-coding and channel-coding","authors":"Mukul Agarwal, S. Mitter","doi":"10.4310/CIS.2016.V16.N2.A1","DOIUrl":"https://doi.org/10.4310/CIS.2016.V16.N2.A1","url":null,"abstract":"A randomized covering-packing duality between source and channel coding will be discussed by considering the source coding problem of coding a source with a certain distortion level and by considering a channel which communicates the source within a certain distortion level. An operational view of source-channel separation for communication with a fidelity criterion will be discussed in brief.","PeriodicalId":185710,"journal":{"name":"Commun. Inf. Syst.","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131514479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A mean-variance control framework for platoon control problems: Weak convergence results and applications on reduction of complexity","authors":"Zhixin Yang, G. Yin, L. Wang, Hongwei Zhang","doi":"10.4310/CIS.2015.V15.N1.A5","DOIUrl":"https://doi.org/10.4310/CIS.2015.V15.N1.A5","url":null,"abstract":"This paper introduces a new approach of treating platoon systems using mean-variance control formulation. The underlying system is a controlled switching diffusion in which the random switching process is a continuous-time Markov chain. This switching process is used to represent random environment and other random factors that cannot be given by stochastic differential equations driven by a Brownian motion. The state space of the Markov chain is large in our setup, which renders practically infeasible a straightforward implementation of the mean-variance control strategy obtained in the literature. By partitioning the states of the Markov chain into sub-groups (or clusters) and then aggregating the states of each cluster as a super state, we are able to obtain a limit system of much reduced complexity. The justification of the limit system is rigorously supported by establishing certain weak convergence results.","PeriodicalId":185710,"journal":{"name":"Commun. Inf. Syst.","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129022971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Two-species flocking particles immersed in a fluid","authors":"Young-Pil Choi, Bongsuk Kwon","doi":"10.4310/CIS.2013.V13.N2.A1","DOIUrl":"https://doi.org/10.4310/CIS.2013.V13.N2.A1","url":null,"abstract":"We present a new particle-fluid model describing the motion of two-species flocking particles immersed in an incompressible viscous fluid. The flocking particles are directly affected by the incompressible fluid through a drag force, and they are also coupled with each other via the fluid. On the other hand, the two-species particles are coupled with each other via the viscous fluid. For this proposed model, we show the global existence of a unique strong solution when the initial data is sufficiently small, and we also investigate the large-time behavior of the solutions under suitable conditions.","PeriodicalId":185710,"journal":{"name":"Commun. Inf. Syst.","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131826335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model","authors":"C. Cao, A. Farhat, E. Titi","doi":"10.4310/CIS.2013.V13.N1.A4","DOIUrl":"https://doi.org/10.4310/CIS.2013.V13.N1.A4","url":null,"abstract":"Author(s): Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S | Abstract: We establish, for smooth enough initial data, the global well-posedness (existence, uniqueness and continuous dependence on initial data) of solutions, for an inviscid three-dimensional {it slow limiting ocean dynamics} model. This model was derived as a strong rotation limit of the rotating and stratified Boussinesg equations with periodic boundary conditions. To establish our results we utilize the tools developed for investigating the two-dimensional incompressible Euler equations and linear transport equations. Using a weaker formulation of the model we also show the global existence and uniqueness of solutions, for less regular initial data.","PeriodicalId":185710,"journal":{"name":"Commun. Inf. Syst.","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129710038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stress relaxation models with polyconvex entropy in Lagrangean and Eulerian coordinates","authors":"A. Tzavaras","doi":"10.4310/cis.2013.v13.n4.a4","DOIUrl":"https://doi.org/10.4310/cis.2013.v13.n4.a4","url":null,"abstract":"The embedding of the equations of polyconvex elastodynamics to an augmented symmetric hyperbolic system provides in conjunction with the relative entropy method a robust stability framework for approximate solutions cite{LT06}. We devise here a model of stress relaxation motivated by the format of the enlargement process which formally approximates the equations of polyconvex elastodynamics. The model is endowed with an entropy function which is not convex but rather of polyconvex type. Using the relative entropy we prove a stability estimate and convergence of the stress relaxation model to polyconvex elastodynamics in the smooth regime. As an application, we show that models of pressure relaxation for real gases in Eulerian coordinates fit into the proposed framework.","PeriodicalId":185710,"journal":{"name":"Commun. Inf. Syst.","volume":"199 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115888180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Constructing completely integrable fields by a generalized-streamlines method","authors":"A. Marini, T. Otway","doi":"10.4310/CIS.2013.V13.N3.A3","DOIUrl":"https://doi.org/10.4310/CIS.2013.V13.N3.A3","url":null,"abstract":"The classical approach to visualizing a flow, in terms of its streamlines, motivates a topological/soft-analytic argument for constrained variational equations. In its full generality, that argument provides an explicit formula for completely integrable solutions to a broad class of n-dimensional quasilinear exterior systems. In particular, it yields explicit solutions for extremal surfaces in Minkowski space and for Born--Infeld models.","PeriodicalId":185710,"journal":{"name":"Commun. Inf. Syst.","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127914826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Zero dissipation limit of full compressible Navier-Stokes equations with a Riemann initial data","authors":"F. Huang, Song Jiang, Yi Wang","doi":"10.4310/CIS.2013.V13.N2.A5","DOIUrl":"https://doi.org/10.4310/CIS.2013.V13.N2.A5","url":null,"abstract":"We consider the zero dissipation limit of the full compressible Navier-Stokes equations with Riemann initial data in the case of superposition of two rarefaction waves and a contact discontinuity. It is proved that for any suitably small viscosity $varepsilon$ and heat conductivity $kappa$ satisfying the relation eqref{viscosity}, there exists a unique global piecewise smooth solution to the compressible Navier-Stokes equations. Moreover, as the viscosity $varepsilon$ tends to zero, the Navier-Stokes solution converges uniformly to the Riemann solution of superposition of two rarefaction waves and a contact discontinuity to the corresponding Euler equations with the same Riemann initial data away from the initial line $t=0$ and the contact discontinuity located at $x=0$.","PeriodicalId":185710,"journal":{"name":"Commun. Inf. Syst.","volume":"538 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123066258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}