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Application of Hierarchical Matrices to Linear Inverse Problems in Geostatistics

Oil & gas science and technology, 2012-09, Vol.67 (5), p.857-875

2012

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Deterministic matrices matching the compressed sensing phase transitions of Gaussian random matrices

Proceedings of the National Academy of Sciences - PNAS, 2013-01, Vol.110 (4), p.1181-1186

2013

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Application of Hierarchical Matrices to Linear Inverse Problems in Geostatistics Application des matrices hiérarchiques aux problèmes d’inversion linéaire en géostatistique

Oil & gas science and technology, 2012-12, Vol.67 (5), p.857-875

2012

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Fast and Scalable Gaussian Process Modeling with Applications to Astronomical Time Series

The Astronomical journal, 2017-12, Vol.154 (6), p.220

2017

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An O(NlogN) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices: With Application to Radial Basis Function Interpolation

Journal of scientific computing, 2013-12, Vol.57 (3), p.477-501

2013

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Algebraic Inverse Fast Multipole Method: A fast direct solver that is better than HODLR based fast direct solver

Journal of computational physics, 2024-01, Vol.497, p.112627, Article 112627

2024

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HODLRdD: A new black-box fast algorithm for N-body problems in d-dimensions with guaranteed error bounds

Journal of computational physics, 2024-03, Vol.501, p.112786, Article 112786

2024

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Generalized Rybicki Press algorithm

Numerical linear algebra with applications, 2015-12, Vol.22 (6), p.1102-1114

Ambikasaran, Sivaram

2015

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Fast Direct Methods for Gaussian Processes

IEEE transactions on pattern analysis and machine intelligence, 2016-02, Vol.38 (2), p.252-265

2016

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An accurate, fast, mathematically robust, universal, non-iterative algorithm for computing multi-component diffusion velocities

Proceedings of the Combustion Institute, 2017, Vol.36 (1), p.507-515

2017

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HODLR2D: A New Class of Hierarchical Matrices

SIAM journal on scientific computing, 2023-10, Vol.45 (5), p.A2382-A2408

2023

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A data-driven framework to predict ignition delays of straight-chain alkanes

Combustion theory and modelling, 2022-07, Vol.26 (5), p.943-967

2022

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A fast block low-rank dense solver with applications to finite-element matrices

Journal of computational physics, 2016-01, Vol.304 (C), p.170-188

2016

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A fast uncertainty quantification methodology and sampling technique for joint probability distribution of the Arrhenius rate expression: a case study applied to H 2 /CO kinetic mechanism

Combustion theory and modelling, 2024-06, Vol.28 (4), p.411-440

2024

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A fast uncertainty quantification methodology and sampling technique for joint probability distribution of the Arrhenius rate expression: a case study applied to H2/CO kinetic mechanism

Combustion theory and modelling, 2024-06, Vol.28 (4), p.411-440

2024

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HODLR3D: hierarchical matrices for N-body problems in three dimensions

Numerical algorithms, 2024-03

2024

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A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions

SIAM journal on scientific computing, 2014-01, Vol.36 (6), p.B887-B903

2014

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An O(NlogN) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices

Journal of scientific computing, 2013-12, Vol.57 (3), p.477-501

2013

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An $\mathcal O (N \log N)$ Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices

Journal of scientific computing, 2013-12, Vol.57 (3), p.477-501

2013

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An $$\mathcal O (N \log N)$$ O ( N log N ) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices: With Application to Radial Basis Function Interpolation

Journal of scientific computing, 2013-12, Vol.57 (3), p.477-501

2013

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Fast, Adaptive, High-Order Accurate Discretization of the Lippmann--Schwinger Equation in Two Dimensions

SIAM journal on scientific computing, 2016-01, Vol.38 (3), p.A1770-A1787

2016

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HODLRlib: A Library for Hierarchical Matrices

Journal of open source software, 2019-02, Vol.4 (34), p.1167

2019

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A Kalman filter powered by H 2-matrices for quasi-continuous data assimilation problems

Water resources research, 2014-05, Vol.50 (5), p.3734

2014

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Large-scale stochastic linear inversion using hierarchical matrices: Illustrated with an application to crosswell tomography in seismic imaging

Computational geosciences, 2013-12, Vol.17 (6), p.913-927

2013

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A Kalman filter powered by H2-matrices for quasi-continuous data assimilation problems

Water resources research, 2014-05, Vol.50 (5), p.3734-3749

2014

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Application of Hierarchical Matrices to Linear Inverse Problems in Geostatistics

Deterministic matrices matching the compressed sensing phase transitions of Gaussian random matrices

Application of Hierarchical Matrices to Linear Inverse Problems in Geostatistics Application des matrices hiérarchiques aux problèmes d’inversion linéaire en géostatistique

Fast and Scalable Gaussian Process Modeling with Applications to Astronomical Time Series

An O(NlogN) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices: With Application to Radial Basis Function Interpolation

Algebraic Inverse Fast Multipole Method: A fast direct solver that is better than HODLR based fast direct solver

HODLRdD: A new black-box fast algorithm for N-body problems in d-dimensions with guaranteed error bounds

Generalized Rybicki Press algorithm

Fast Direct Methods for Gaussian Processes

An accurate, fast, mathematically robust, universal, non-iterative algorithm for computing multi-component diffusion velocities

HODLR2D: A New Class of Hierarchical Matrices

A data-driven framework to predict ignition delays of straight-chain alkanes

A fast block low-rank dense solver with applications to finite-element matrices

A fast uncertainty quantification methodology and sampling technique for joint probability distribution of the Arrhenius rate expression: a case study applied to H 2 /CO kinetic mechanism

A fast uncertainty quantification methodology and sampling technique for joint probability distribution of the Arrhenius rate expression: a case study applied to H2/CO kinetic mechanism

HODLR3D: hierarchical matrices for N-body problems in three dimensions

A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions

An O(NlogN) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices

An $\mathcal O (N \log N)$ Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices

An $$\mathcal O (N \log N)$$ O ( N log N ) Fast Direct Solver for Partial Hierarchically Semi-Separable Matrices: With Application to Radial Basis Function Interpolation

Fast, Adaptive, High-Order Accurate Discretization of the Lippmann--Schwinger Equation in Two Dimensions

HODLRlib: A Library for Hierarchical Matrices

A Kalman filter powered by H 2-matrices for quasi-continuous data assimilation problems

Large-scale stochastic linear inversion using hierarchical matrices: Illustrated with an application to crosswell tomography in seismic imaging

A Kalman filter powered by H2-matrices for quasi-continuous data assimilation problems

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