Low-Density Parity-Check Decoding Algorithm Based on Symmetric Alternating Direction Method of Multipliers [PDF]
The Alternating Direction Method of Multipliers (ADMM) has proven to be an efficient approach for implementing linear programming (LP) decoding of low-density parity-check (LDPC) codes.
Ji Zhang +5 more
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A Novel Low-Rank Embedded Latent Multi-View Subspace Clustering Approach [PDF]
Noises and outliers often degrade the final prediction performance in practical data processing. Multi-view learning by integrating complementary information across heterogeneous modalities has become one of the core techniques in the field of machine ...
Sen Wang +3 more
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The Alternating Direction Explicit (ADE) Method for One-Factor Problems [PDF]
In this article we apply the ADE method to a number of partial differential equations in option pricing using one-factor models (Black–Scholes, local volatility, uncertain volatility). We first give an introduction to ADE. We discuss the stability, accuracy, and performance of ADE for a generic one-factor partial differential equation.
Guillaume Pealat, Daniel J. Duffy
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Approximation of stochastic advection diffusion equations with Stochastic Alternating Direction Explicit methods [PDF]
Stochastic diffusion and stochastic advection diffusion equations are studied from the numerical point of view. Finite difference methods are presented both for deterministic and stochastic equations. The driving process in stochastic equations is the real-valued time-dependent Wiener process.
Soheili, Ali R., Arezoomandan, Mahdieh
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Image restoration with impulse noise is an important task in image processing. Taking into account the statistical distribution of impulse noise, the ℓ1‐norm data fidelity and total variation (ℓ1TV) model has been widely used in this area.
Yuchao Tang +3 more
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An alternating direction explicit method for time evolution equations with applications to fractional differential equations [PDF]
We derive and analyze the alternating direction explicit (ADE) method for time evolution equations with the time-dependent Dirichlet boundary condition and with the zero Neumann boundary condition. The original ADE method is an additive operator splitting (AOS) method, which has been developed for treating a wide range of linear and nonlinear time ...
Liu, Hao, Leung, Shing Yu
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In this paper, the Saul’yev finite difference scheme for a fully nonlinear partial differential equation with initial and boundary conditions is analyzed. The main advantage of this scheme is that it is unconditionally stable and explicit. Consistency and monotonicity of the scheme are discussed.
Somayeh Pourghanbar +4 more
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Numerical Treatment of a Two-Dimensional Vertically-Averaged Groundwater Flow Model Using Alternating Direction Explicit Methods [PDF]
Leachate from a landfill can flow down and contaminate groundwater. Mathematical models are often used to describe groundwater flow, which can help designers to identify an appropriate location for a landfill area. We focused on simulation of hydraulic head of groundwater under landfill construction in a rural area.
Supawan Yena, Nopparat Pochai
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Borel Summation of the Derivative Expansion and Effective Actions [PDF]
We give an explicit demonstration that the derivative expansion of the QED effective action is a divergent but Borel summable asymptotic series, for a particular inhomogeneous background magnetic field.
A. B. Balantekin +48 more
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Efficient solution on solving 3D Maxwell equations using stable semi-implicit splitting method
In this paper, we propose an efficient solution on solving 3-dimensional (3D) time-domain Maxwell equations using the semi-implicit Crank-Nicholson (CN) method for time domain discretization with advantage of unconditional time stability. By applying the
Wei Cen, Ning Gu
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