Non-Markov Nonparametric Estimation of Complex Multistate Outcomes After Hematopoietic Stem Cell Transplantation. [PDF]
Biom JABSTRACT Often probabilities of nonstandard time‐to‐event endpoints are of interest, which are more complex than overall survival. One such probability is chronic graft‐versus‐host disease (GvHD‐) and relapse‐free survival, the probability of being alive, in remission, and not suffering from chronic GvHD after stem cell transplantation, with chronic ...
Vilsmeier J +3 more
europepmc +2 more sources
Profiling the sleep architecture of ageing adults using a seven-state continuous-time Markov model. [PDF]
J Sleep ResSummary Sleep is a complex biological process regulated by networks of neurons and environmental factors. As one falls asleep, neurotransmitters from sleep–wake regulating neurones work in synergy to control the switching of different sleep states throughout the night. As sleep disorders or underlying neuropathology can manifest as irregular switching,
Jacobs J +3 more
europepmc +2 more sources
Computing Battery Lifetime Distributions [PDF]
, 2007 The usage of mobile devices like cell phones, navigation systems, or laptop computers, is limited by the lifetime of the included batteries. This lifetime depends naturally on the rate at which energy is consumed, however, it also depends on the usage ...
Cloth, Lucia +2 more
core +8 more sources
Fluctuations of the Empirical Measure of Freezing Markov Chains [PDF]
, 2017 In this work, we consider a finite-state inhomogeneous-time Markov chain whose probabilities of transition from one state to another tend to decrease over time. This can be seen as a cooling of the dynamics of an underlying Markov chain.
Bouguet, Florian, Cloez, Bertrand
core +4 more sources
Rapid Mixing of Gibbs Sampling on Graphs that are Sparse on Average [PDF]
, 2009 In this work we show that for every $d < \infty$ and the Ising model defined on $G(n,d/n)$, there exists a $\beta_d > 0$, such that for all $\beta < \beta_d$ with probability going to 1 as $n \to \infty$, the mixing time of the dynamics on $G(n,d/n)$ is ...
Mossel, Elchanan, Sly, Allan
core +3 more sources
Fluctuation Theorems for Entropy Production and Heat Dissipation in Periodically Driven Markov Chains [PDF]
, 2009 Asymptotic fluctuation theorems are statements of a Gallavotti-Cohen symmetry in the rate function of either the time-averaged entropy production or heat dissipation of a process.
B. Chen +36 more
core +3 more sources
A relative entropy rate method for path space sensitivity analysis of stationary complex stochastic dynamics [PDF]
, 2012 We propose a new sensitivity analysis methodology for complex stochastic dynamics based on the Relative Entropy Rate. The method becomes computationally feasible at the stationary regime of the process and involves the calculation of suitable observables
Degasperi A. +11 more
core +2 more sources
Adiabatic times for Markov chains and applications
, 2010 We state and prove a generalized adiabatic theorem for Markov chains and provide examples and applications related to Glauber dynamics of Ising model over Z^d/nZ^d.
A. Messiah +10 more
core +1 more source
Inference of Markovian Properties of Molecular Sequences from NGS Data and Applications to Comparative Genomics [PDF]
, 2015 Next Generation Sequencing (NGS) technologies generate large amounts of short read data for many different organisms. The fact that NGS reads are generally short makes it challenging to assemble the reads and reconstruct the original genome sequence. For
Cannon, Charles H. +5 more
core +1 more source
Quantitative bounds on convergence of time-inhomogeneous Markov chains
, 2004 Convergence rates of Markov chains have been widely studied in recent years. In particular, quantitative bounds on convergence rates have been studied in various forms by Meyn and Tweedie [Ann. Appl. Probab. 4 (1994) 981-1101], Rosenthal [J.
Douc, R. +2 more
core +3 more sources