The dynamics of genetic modules are represented as a linear-state space equation and the observability of linear time-varying systems is defined by imposing sparse constraints in Kalman filters.
The label's New Series was defined by Arvo Pärt's sparse minimalism back in the 1980s and Tonu Korvits is the latest Estonian composer to join the fold, with photos of wintry Tallinn and cold-looking lakes in the CD booklet as if to ensure the association.
This paper focuses on the equidimensional decomposition of affine varieties defined by sparse polynomial systems.
It introduces ensembles of codes defined by sparse random graphs and discusses their most basic property – the weight distribution.
Following the construction in [17 19], GLD codes are defined using a sparse matrix constructed by replacing each row in a sparse parity-check matrix, which indeed defines an LDPC code, with rows including one copy of the parity-check matrix of the constituent code Here, is usually a block code of code length n and information bit length k, such as BCH code and Reed-Solomon (RS) code.
These models are defined at the core by a sparse stoichiometric matrix, where each column represents a reaction, each row a metabolite, and each entry the corresponding stoichiometric coefficient.
The matrix H can generally be expressed as H = T + B (3). where T has a Toeplitz structure and B, which is defined by the BCs, is often structured, sparse and low rank.
Other approaches to approximate the probability distributions defined by the CME are based on sparse grid methods [ 24], spectral methods [ 25], or the separation of time scales [ 26, 27].
This sparse connectivity pattern in A is defined by ZA, which can be obtained from ChIP-chip assay or existing databases.
