The convergence-guaranteed random walk and its applications in peer-to-peer networks

M Zhong, K Shen, J Seiferas - IEEE Transactions on Computers, 2008 - ieeexplore.ieee.org
convergence is not immediate after a random walk is initiated. For instance, after one step
of the walk, it is not possible for the walker to go beyond … the random walker data structure in …

Many random walks are faster than one

N Alon, C Avin, M Koucky, G Kozma, Z Lotker… - Proceedings of the …, 2008 - dl.acm.org
… the graph structure, applications based on random walks are … any “breadcrumbs” left behind
at a node by one hunter to pro- … Since the rate of convergence of a random walk to a uniform …

Beyond random walk and metropolis-hastings samplers: why you should not backtrack for unbiased graph sampling

CH Lee, X Xu, DY Eun - ACM SIGMETRICS Performance evaluation …, 2012 - dl.acm.org
… graph structure. Thus, the MHDA is applied, as ‘a special case’, to construct a random walk
crawling … [9, 10] showed that certain ‘lifted’ (non-reversible) Markov chains converge to their …

Fine grained analysis of high dimensional random walks

R Gotlib, T Kaufman - arXiv preprint arXiv:2208.03241, 2022 - arxiv.org
convergence of high dimensional random walks [KM17, DK17, KO18, AL20], by presenting
a structured … We are specifically interested in going beyond Alev and Lau’s worst case result […

Random walks on the random graph

N Berestycki, E Lubetzky, Y Peres, A Sly - The Annals of Probability, 2018 - JSTOR
… of convergence of a Markov chain to stationarity is its (worst-… place it in the context of the
structure theorem for C1, recently given … The intuition behind these results is better seen for the …

Hierarchical random walks in trace fossils and the origin of optimal search behavior

DW Sims, AM Reynolds… - Proceedings of the …, 2014 - National Acad Sciences
… the pastpast, extreme climate change and productivity collapse associated with extinctions
might have triggered the evolution of foraging adaptations converging on optimal Lévy walks

Batched high-dimensional Bayesian optimization via structural kernel learning

Z Wang, C Li, S Jegelka, P Kohli - … conference on machine …, 2017 - proceedings.mlr.press
… In the past, these two problems have been addressed by assuming a simpler underlying
structure … They also suggest that the Gibbs sampling procedure can converge to the ground truth …

Better bounds for coalescing-branching random walks

M Mitzenmacher, R Rajaraman, S Roche - ACM Transactions on …, 2018 - dl.acm.org
… The cobra walk process has structural similarities with … are a wide class of graphs beyond
expanders for which this … can indeed verify that the walk on D(G × G) converges rapidly to its …

The random walk Metropolis: linking theory and practice through a case study

C Sherlock, P Fearnhead, GO Roberts - 2010 - projecteuclid.org
… We have described the theory and intuition behind a number of … -dimensional MMPP, and
showed that in higher dimensions … Weak convergence and optimal scaling of random walk

Anomalous heat-kernel decay for random walk among bounded random conductances

N Berger, M Biskup, CE Hoffman… - Annales de l'IHP …, 2008 - numdam.org
… -kernel lower bounds which go beyond the estimates that can … the nearest-neighbor structure
of the walk and to an underlying … in the annuli Λ2k+1 \ Λ2k converges as to ρ. In particular, …