标题
Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains
作者
关键词
-
出版物
PLoS Computational Biology
Volume 10, Issue 3, Pages e1003359
出版商
Public Library of Science (PLoS)
发表日期
2014-03-14
DOI
10.1371/journal.pcbi.1003359
参考文献
相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。- Preconditioned Low-Rank Methods for High-Dimensional Elliptic PDE Eigenvalue Problems
- (2013) Daniel Kressner et al. Computational Methods in Applied Mathematics
- SPSens: a software package for stochastic parameter sensitivity analysis of biochemical reaction networks
- (2012) Patrick W. Sheppard et al. BIOINFORMATICS
- Constructive Representation of Functions in Low-Rank Tensor Formats
- (2012) I. V. Oseledets CONSTRUCTIVE APPROXIMATION
- A projection method to solve linear systems in tensor format
- (2012) Jonas Ballani et al. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
- Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker--Planck Equation
- (2012) S. V. Dolgov et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format
- (2012) Sebastian Holtz et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Solution of Linear Systems and Matrix Inversion in the TT-Format
- (2012) I. V. Oseledets et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling
- (2011) Boris N. Khoromskij CONSTRUCTIVE APPROXIMATION
- On Reduced Models for the Chemical Master Equation
- (2011) Tobias Jahnke MULTISCALE MODELING & SIMULATION
- Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs
- (2011) Boris N. Khoromskij et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Tensor-Train Decomposition
- (2011) I. V. Oseledets SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Product-Form Stationary Distributions for Deficiency Zero Chemical Reaction Networks
- (2010) David F. Anderson et al. BULLETIN OF MATHEMATICAL BIOLOGY
- Solving chemical master equations by adaptive wavelet compression
- (2010) Tobias Jahnke et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Probability landscape of heritable and robust epigenetic state of lysogeny in phage lambda
- (2010) Y. Cao et al. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition
- (2010) I. V. Oseledets SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
- Hierarchical Singular Value Decomposition of Tensors
- (2010) Lars Grasedyck SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
- An Adaptive Wavelet Method for the Chemical Master Equation
- (2010) Tobias Jahnke SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Approximation of matrices with logarithmic number of parameters
- (2009) I. V. Oseledets DOKLADY MATHEMATICS
- A New Scheme for the Tensor Representation
- (2009) W. Hackbusch et al. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
- Renormalization and tensor product states in spin chains and lattices
- (2009) J Ignacio Cirac et al. Journal of Physics A-Mathematical and Theoretical
- Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions
- (2009) I. V. Oseledets et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Tensor Decompositions and Applications
- (2009) Tamara G. Kolda et al. SIAM REVIEW
- Optimal enumeration of state space of finitely buffered stochastic molecular networks and exact computation of steady state landscape probability
- (2008) Youfang Cao et al. BMC Systems Biology
- A Dynamical Low-Rank Approach to the Chemical Master Equation
- (2008) Tobias Jahnke et al. BULLETIN OF MATHEMATICAL BIOLOGY
- The Finite State Projection Approach for the Analysis of Stochastic Noise in Gene Networks
- (2008) Brian Munsky et al. IEEE TRANSACTIONS ON AUTOMATIC CONTROL
- Spectral approximation of solutions to the chemical master equation
- (2008) Stefan Engblom JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- Multiscale Modeling of Chemical Kinetics via the Master Equation
- (2008) Shev MacNamara et al. MULTISCALE MODELING & SIMULATION
- Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
- (2008) Vin de Silva et al. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
- Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation
- (2008) P. Deuflhard et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationFind the ideal target journal for your manuscript
Explore over 38,000 international journals covering a vast array of academic fields.
Search