Alignment-free sequence analysis and applications

J Ren, X Bai, YY Lu, K Tang, Y Wang… - Annual Review of …, 2018 - annualreviews.org
Genome and metagenome comparisons based on large amounts of next-generation
sequencing (NGS) data pose significant challenges for alignment-based approaches due to …

Markov chain order estimation with conditional mutual information

M Papapetrou, D Kugiumtzis - Physica A: Statistical Mechanics and its …, 2013 - Elsevier
We introduce the Conditional Mutual Information (CMI) for the estimation of the Markov chain
order. For a Markov chain of K symbols, we define CMI of order m, Ic (m), as the mutual …

[HTML][HTML] Constrained Markov order surrogates

DC Corrêa, JM Moore, T Jüngling, M Small - Physica D: Nonlinear …, 2020 - Elsevier
We describe a surrogates algorithm for symbolic time series which consists of constrained
permutation of strings and exactly preserves the n th-order Markov properties of the original …

Learning the Markov order of paths in a network

LV Petrović, I Scholtes - arXiv preprint arXiv:2007.02861, 2020 - arxiv.org
We study the problem of learning the Markov order in categorical sequences that represent
paths in a network, ie sequences of variable lengths where transitions between states are …