Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains
Published 2014 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains
Authors
Keywords
-
Journal
PLoS Computational Biology
Volume 10, Issue 3, Pages e1003359
Publisher
Public Library of Science (PLoS)
Online
2014-03-14
DOI
10.1371/journal.pcbi.1003359
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- 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
Create your own webinar
Interested in hosting your own webinar? Check the schedule and propose your idea to the Peeref Content Team.
Create NowBecome a Peeref-certified reviewer
The Peeref Institute provides free reviewer training that teaches the core competencies of the academic peer review process.
Get Started