Search Results for author: Donsub Rim

Found 8 papers, 2 papers with code

On the performance of sequential Bayesian update for database of diverse tsunami scenarios

no code implementations4 Jul 2024 Reika Nomura, Louise A. Hirao Vermare, Saneiki Fujita, Donsub Rim, Shuji Moriguchi, Randall J. LeVeque, Kenjiro Terada

The evaluation accuracy of the maximum offshore wave, inundation depth, and its distribution is analyzed to examine the advantages of the scenario superposition method over the previous method.

Dynamic Time Warping

A Low Rank Neural Representation of Entropy Solutions

no code implementations9 Jun 2024 Donsub Rim, Gerrit Welper

We construct a new representation of entropy solutions to nonlinear scalar conservation laws with a smooth convex flux function in a single spatial dimension.

Mining Causality from Continuous-time Dynamics Models: An Application to Tsunami Forecasting

no code implementations10 Oct 2022 Fan Wu, Sanghyun Hong, Donsub Rim, Noseong Park, Kookjin Lee

However, parameterization of dynamics using a neural network makes it difficult for humans to identify causal structures in the data.

Time Series Time Series Analysis

A range characterization of the single-quadrant ADRT

no code implementations11 Oct 2020 Weilin Li, Kui Ren, Donsub Rim

The range characterization is obtained by first showing that the ADRT is a bijection between images supported on infinite half-strips, then identifying the linear subspaces that stay finitely supported under the inversion formula.

Math

Depth separation for reduced deep networks in nonlinear model reduction: Distilling shock waves in nonlinear hyperbolic problems

no code implementations28 Jul 2020 Donsub Rim, Luca Venturi, Joan Bruna, Benjamin Peherstorfer

Classical reduced models are low-rank approximations using a fixed basis designed to achieve dimensionality reduction of large-scale systems.

Dimensionality Reduction

Exact and fast inversion of the approximate discrete Radon transform from partial data

no code implementations2 Aug 2019 Donsub Rim

We give an exact inversion formula for the approximate discrete Radon transform introduced in [Brady, SIAM J.

Model reduction of a parametrized scalar hyperbolic conservation law using displacement interpolation

1 code implementation15 May 2018 Donsub Rim, Kyle T. Mandli

The key idea of the technique is to construct basis functions that are local in parameter and time space via displacement interpolation.

Numerical Analysis

Imaging of isotropic and anisotropic conductivities from power densities in three dimensions

1 code implementation8 Nov 2017 François Monard, Donsub Rim

We present numerical reconstructions of anisotropic conductivity tensors in three dimensions, from knowledge of a finite family of power density functionals.

Numerical Analysis Analysis of PDEs 65M32, 35R30, 35J15

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