Energy Stable Model Reduction of Neurons by Nonnegative Discrete Empirical Interpolation
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Publication:2800440
DOI10.1137/15M1013870zbMath1359.37145MaRDI QIDQ2800440
Publication date: 15 April 2016
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Approximation methods and numerical treatment of dynamical systems (37M99)
Related Items (5)
The Discrete Empirical Interpolation Method: Canonical Structure and Formulation in Weighted Inner Product Spaces ⋮ Nonlinear model reduction: a comparison between POD-Galerkin and POD-DEIM methods ⋮ Error analysis of an incremental proper orthogonal decomposition algorithm for PDE simulation data ⋮ A note on incremental POD algorithms for continuous time data ⋮ 7 Model order reduction in neuroscience
Uses Software
Cites Work
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- Summation-by-parts in time
- High-order accurate difference schemes for the Hodgkin-Huxley equations
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
- Algorithms for nonnegative matrix and tensor factorizations: a unified view based on block coordinate descent framework
- Stable Galerkin reduced-order models for linearized compressible flow
- On the stability of the reduced basis method for Stokes equations in parametrized domains
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
- Mathematical physiology. I: Cellular physiology
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- Nonlinear model order reduction based on local reduced-order bases
- Hierarchical abstraction of weakly coupled synchronized oscillator networks
- A posteriorierror estimators for linear reduced-order models using Krylov-based integrators
- An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- An Online Method for Interpolating Linear Parametric Reduced-Order Models
- A method for interpolating on manifolds structural dynamics reduced-order models
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Summation by Parts, Projections, and Stability. I
- Summation by Parts, Projections, and Stability. II
- Stabilization of projection‐based reduced‐order models
- On the Stability of Reduced-Order Linearized Computational Fluid Dynamics Models Based on POD and Galerkin Projection: Descriptor vs Non-Descriptor Forms
- Learning the parts of objects by non-negative matrix factorization
- An improved error bound for reduced basis approximation of linear parabolic problems
- Double greedy algorithms: Reduced basis methods for transport dominated problems
- Well-Posed Boundary Conditions for the Navier--Stokes Equations
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