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A full and sparse grid, in two dimensions

The sparse grid combination technique for quantities of interest

The sparse grid combination technique for quantities of interest

... In chapter 2 we first discuss extrapolation methods. As we consider integration problems as a sample problem within this work we first do some ground by revisiting the Euler- Maclaurin formula, which gives us an error ...

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A dimension adaptive sparse grid combination technique for machine learning

A dimension adaptive sparse grid combination technique for machine learning

... of grid Ω −1 (that is, start with A := {−1}) and look in the first step at all grids which are linear in only one dimension, that is all Ω −1+e j with j = 1, ...involve two dimensions. Since each ...

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Time Accurate Unstructured Grid Adaption in Two and Three Dimensions

Time Accurate Unstructured Grid Adaption in Two and Three Dimensions

... the grid, it does not create new ...the grid motion to the solver in a time accurate manner independent of the type of refinement that is performed, whether is it is r-refinement, h-refinement, or ...

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Sparse Grid Interpolation

Sparse Grid Interpolation

... the sparse grid interpolation to reduce the curse of ...A sparse adaptive surrogate model is constructed for the Hokkaido-Nansei-Oki tsunami, for which we give a description in Section ...study ...

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Design and Analysis of Two Highly Scalable Sparse Grid Combination Algorithms

Design and Analysis of Two Highly Scalable Sparse Grid Combination Algorithms

... present two new parallel algorithms for the SGCT that supports the full distributed memory parallelization over the dimensions of the component grids, as well as across the grids as ...‘partial’ ...

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Two-grid genetic algorithm full-waveform inversion

Two-grid genetic algorithm full-waveform inversion

... with two grids: a “coarse” inversion grid and a “fine” modeling ...inversion grid corresponds to an unknown of the GA optimization, which, in the acoustic approximation we use, is the P-wave velocity ...

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Robust and sparse estimation in high-dimensions.

Robust and sparse estimation in high-dimensions.

... to sparse results, thus, variable selec- tion and model estimation could be performed ...possible sparse, high-dimensional regression estimator for cellwise contamination is men- tioned in Chapter ...the ...

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Sparse grid quadrature on products of spheres

Sparse grid quadrature on products of spheres

... Each of the numerical examples described below uses a particular dimen- sion d, from d = 1 to 16; a particular maximum 1-norm for indices, typically 20; and a particular maximum number of points, up to 100 000. The ...

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Sparse Bayesian Vector Autoregressions in Huge Dimensions

Sparse Bayesian Vector Autoregressions in Huge Dimensions

... 0. To assess the merits of the proposed shrinkage prior vis-à-vis a Minnesota prior and an NG shrinkage prior we also include the models described in Section 5. Moreover, we include two models that impose the ...

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The rate of convergence of sparse grid quadrature on the torus

The rate of convergence of sparse grid quadrature on the torus

... Weighted Korobov spaces are a generalisation of Korobov spaces where each one dimensional kernel is defined using a possibly different weight. These weighted spaces are used to study tractability of quadrature rules. The ...

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First Order Convergence Analysis for Sparse Grid Method in Stochastic Two Stage Linear Optimization Problem

First Order Convergence Analysis for Sparse Grid Method in Stochastic Two Stage Linear Optimization Problem

... Stochastic two-stage linear optimization is an important and widely used optimization ...the sparse grid method for this important stochastic optimization model, utilizing convexity analysis and ...

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Scalable Learning for Collective Behaviour Using Sparse Social Dimensions

Scalable Learning for Collective Behaviour Using Sparse Social Dimensions

... Social networking, for example, Face book, MySpace, Twitter, Blog- Catalog, Dig, YouTube and Flickr, encourage individuals of all Permission to make advanced or hard duplicates of all or piece of this work for individual ...

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Radar Imaging In Two Dimensions

Radar Imaging In Two Dimensions

... V. RADAR The full form of radar is Radio Detection And Ranging .It is mainly used in defence to detect the enemies in the sea and on the border line .The main component of radar is sensors. Sensors senses the ...

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Option pricing with a direct adaptive sparse grid approach

Option pricing with a direct adaptive sparse grid approach

... spending full-grid-like structures there), we limit the maximum level with respect to each dimension and refine all grid points at once of which the surplus exceeds a certain ...regular grid ...

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Investigating Molecular Dynamics with Sparse Grid Surrogate
Models

Investigating Molecular Dynamics with Sparse Grid Surrogate Models

... Figures 5.11-5.13 show contour plot projections of the k = 3 PES’s for each pair of degrees of freedom. All Figures show projections of the PES’s for two degrees of freedom with the other degree of freedom at its ...

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Multivariate Stochastic Volatility Estimation with Sparse Grid Integration

Multivariate Stochastic Volatility Estimation with Sparse Grid Integration

... the two methods for filtering, smoothing and prediction ...of sparse grid integration method in filtering and one-step prediction estimations while a better performance of MCMC method is observed in ...

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A sparse grid approach to balance sheet risk measurement

A sparse grid approach to balance sheet risk measurement

... The first one is known as the nested simulation approach: It is a two-step method. First, a set of “outer simulation”, describing the random values of the risk factors, is drawn. Then, for each value of the risk ...

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Modelling of Grid connected Single Phase Two Stage Full Bridge Converter for Photovoltaic Application

Modelling of Grid connected Single Phase Two Stage Full Bridge Converter for Photovoltaic Application

... In thesis PI with pole zero cancellation has been designed in a DQ synchronous frame. It can achieve zero steady state error at the fundamental frequency. It also im- proves its dynamic response. But this method is not ...

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Full Size Pool Table Dimensions Uk

Full Size Pool Table Dimensions Uk

... with full size needed under a full size pool table dimensions uk and dimensions ...have two of ping pong, any idea write it that have cost building new? Legacy pool chair with peculiar ...

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CHAPTER 9 THE TWO BODY PROBLEM IN TWO DIMENSIONS

CHAPTER 9 THE TWO BODY PROBLEM IN TWO DIMENSIONS

... Although a full treatment of the first and third laws awaits section 9.5, the third law is trivially easy to derive in the case of a circular orbit. For example, if we suppose that a planet of mass m is in a ...

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