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19982021
most citedEmpirical Evaluation of Gated Recurrent Neural Networks on Sequence Modeling

10.8k citations

Showing 2012 · math.NAShow all

8 papers · 2 filters

math.NA2012

Note on the equations of diffusion operators associated to a positive matrix

Dohy Hong, Gérard Burnside

In this paper, we describe the general framework to describe the diffusion operators associated to a positive matrix. We define the equations associated to diffusion operators and…

math.NA2012

Optimizing the eigenvector computation algorithm with diffusion approach

Dohy Hong, Philippe Jacquet

In this paper, we apply the ideas of the matrix column based diffusion approach to define a new eigenvector computation algorithm of a stationary probability of a Markov chain.

math.NA2012

Revisiting the D-iteration method: runtime comparison

Dohy Hong, Gérard Burnside, Philippe Raoult

In this paper, we revisit the D-iteration algorithm in order to better explain different performance results that were observed for the numerical computation of the eigenvector ass…

math.NA2012

Understanding differential equations through diffusion point of view: non-symmetric discrete equations

Dohy Hong

In this paper, we propose a new adaptation of the D-iteration algorithm to numerically solve the differential equations. This problem can be reinterpreted in 2D or 3D (or higher di…

math.NA2012

Understanding differential equations through diffusion point of view

Dohy Hong

In this paper, we propose a new adaptation of the D-iteration algorithm to numerically solve the differential equations. This problem can be reinterpreted in 2D or 3D (or higher di…

math.NA2012

D-iteration: application to differential equations

Dohy Hong

In this paper, we study how the D-iteration algorithm can be applied to numerically solve the differential equations such as heat equation in 2D or 3D. The method can be applied on…