Statistical models for manifold data with applications to the

Jan 25, 2017 - 1 Introduction. One of the interesting types of data generated by medical imaging is in the form of .... not its strength. The lower im...

96 downloads 96 Views 3MB Size

Recommend Documents

5 days ago - Laboratory for Rehabilitation Neuroscience, University of Florida, USA ... This line of work is called Geometric deep learning and typically deals with data such .... As the O(n) group operation preserves the distance, we call this.

Oct 4, 2017 - large, complex, and highly structured data sets. A great deal of modern statistical work focuses on developing tools for handling such .... common in fields such as biology, kinesiology, engineering, and anthropology. In many of these c

Nov 11, 2017 - APPLICATIONS TO STATISTICAL SOLUTIONS OF THE. NAVIER-STOKES EQUATIONS. ANIMIKH BISWAS, CIPRIAN FOIAS, CECILIA MONDAINI, AND EDRISS S. TITI. Abstract. Based on a previously introduced downscaling data assimilation algorithm, which emplo

May 6, 2013 - extend signal processing techniques from scalar-valued data to manifold-valued data, see e.g. [1]. The present ... data to manifold-valued data and specialize the discussion in the particular case of Diffusion Tensors, that is, ..... im

Two-Manifold Problems with Applications to. Nonlinear System Identification. Byron Boots [email protected] Geoffrey J. Gordon [email protected] Machine Learning Department, Carnegie Mellon University, Pittsburgh, PA 15213. Abstract. Recently, there h

Oct 25, 2018 - worst-case ones for randomized data structures by going through a .... any set of elements S such that |S| is polynomial in n, a new version of ... The main di erence is that the answers produced by A may have ...... 4.2 Our Modi catio

Jun 24, 2011 - estimators give poor prediction on new data. On the other hand, application of a very sophisticated model may not capture the studied dependence structure of various factors efficiently. However the trade-off between the model's comple

Jun 24, 2011 - To perform the data analysis concerning the ischemic heart disease and myocardial infarction the supercomputer SKIF ”Chebyshev” of the Lomonosov. Moscow State University was employed. Keywords and phrases: Genetic data statistical

May 8, 2014 - systems is outlined in [33], which considers similar manifold ...... following experiments were run on a single IBM x3550 workstation with 2 ...

Aug 1, 2011 - raise through their stocks) which aims to be compatible with data on long-term market structure. This is a departure from the usual Black-Scholes ...... Now to analyze ad- ditive functionals, note that the duality (18) between (Pt)t≥0

birth–death processes can describe disease trajectories of individual patients, allowing for estimation of the ..... (10) analytically. Note that the theorem below applies to a general linear. BDI process, not only to the ...... Another example of

We first present an effective knowledge-lean method for learning content models from un- annotated .... Seismologists in Pakistan's Northwest Frontier Province said the temblor's epicenter was about 250 kilometers ..... good model should predict the

Apr 21, 2008 - ample, a Metropolis-Hastings algorithm with proposal kernel Q and target distribution π, would ... the approximate Bayesian computation schemes of Plagnol-Tavaré ([15]) but which sample only approximately ..... In this example we stu

Oct 9, 2014 - We model a family of probability distribution functions given by a set of parameters as a Riemannian manifold. In other words, we consider each distribution as a point on a Riemannian manifold. Consider a family S of probability distrib

2Supported in part by the Simons Postdoctoral Fellowship at UCLA. AMS 2000 ... 1. Introduction. 1.1. Overview. In this article we study the asymptotic behavior of sym- metric functions of representation-theoretic origin, such as Schur rational ... th

May 8, 2009 - The other branch involves polymer systems, i.e. discrete systems with ... exponential of a convergent series of “cluster terms”. The main difficulty ...

Apr 12, 2016 - We describe NIMBLE, a system for programming statistical algorithms for general ..... standard practice when using previous BUGS packages. ... The nodes contained in an arbitrary subset of variable elements. For example, x[3:5] may rep

Mar 5, 2006 - 22nd Winter Workshop on. Nuclear Dynamics (2006) 000–000. 22nd Winter Workshop on Nuclear Dynamics. La Jolla, California, USA.

riety of algorithms. We give approximate variants of the van Emde Boas data structure, which support the same dynamic operations as the standard van Emde Boas data structure [28, 20], except that answers to queries are approximate. The variants ... 9

Apr 14, 2016 - Second, we use concepts and tools from control theory and build a linear contracting observer to estimate the latent variables in a sequential manner from new incoming measurements. The effectiveness of the presented framework is demon

Oct 7, 2014 - di Matematica Pura ed Applicata, 192(3):361–391, 2013. [12] M. Jiang, P. Maass, and T. Page. Regularizing properties of the Mumford-Shah functional for imaging applications. Inverse Problems, 30(3):035007, 2014. [13] O. Veksler. Effic

Aug 5, 2015 - tals in the six New England states between 2000-2009, key scientific questions we consider .... skilled nursing facility (ICF/SNF) or some other facility (e.g. a rehabilitation facility or to inpatient care). .... In practice, analyses

wastes, or querying a human expert to classify an unknown word in a natural language understanding problem. When actions/queries are selected properly, the data requirements for some problems decrease drastically, and some NP-complete learning proble

Aug 5, 2015 - Broadly, published methods for the analysis of semi-competing risks data can be classified into three .... from the Medicare Fee-For-Service inpatient claims file (Part A). Specific covariates of in- ..... Section C. Briefly, this model