Extension of the PAC framework to finite and countable Markov chains
COLT '99 Proceedings of the twelfth annual conference on Computational learning theory
Edge-disjoint paths in expander graphs
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Approximating Aggregate Queries about Web Pages via Random Walks
VLDB '00 Proceedings of the 26th International Conference on Very Large Data Bases
Load balancing of unit size tokens and expansion properties of graphs
Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures
A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries
Journal of the ACM (JACM)
Approximate and dynamic rank aggregation
Theoretical Computer Science - Special papers from: COCOON 2003
The expansion and mixing time of skip graphs with applications
Proceedings of the seventeenth annual ACM symposium on Parallelism in algorithms and architectures
Linear degree extractors and the inapproximability of max clique and chromatic number
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Random walks in peer-to-peer networks: algorithms and evaluation
Performance Evaluation - P2P computing systems
Randomized Algorithms for Determining the Majority on Graphs
Combinatorics, Probability and Computing
The unified theory of pseudorandomness: guest column
ACM SIGACT News
Tail estimates for sums of variables sampled by a random walk
Combinatorics, Probability and Computing
Randomness-Efficient Sampling within NC1
Computational Complexity
Random sampling from a search engine's index
Journal of the ACM (JACM)
Efficient sampling of information in social networks
Proceedings of the 2008 ACM workshop on Search in social media
Efficient identification of starters and followers in social media
Proceedings of the 12th International Conference on Extending Database Technology: Advances in Database Technology
Adaptive simulated annealing: A near-optimal connection between sampling and counting
Journal of the ACM (JACM)
Unbalanced expanders and randomness extractors from Parvaresh--Vardy codes
Journal of the ACM (JACM)
Online pairing of VoIP conversations
The VLDB Journal — The International Journal on Very Large Data Bases
COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
Anonymity in the wild: mixes on unstructured networks
PET'07 Proceedings of the 7th international conference on Privacy enhancing technologies
Expansion and the cover time of parallel random walks
Proceedings of the 29th ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Discrete load balancing is (almost) as easy as continuous load balancing
Proceedings of the 29th ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Constructive proofs of concentration bounds
APPROX/RANDOM'10 Proceedings of the 13th international conference on Approximation, and 14 the International conference on Randomization, and combinatorial optimization: algorithms and techniques
Rigorous confidence bounds for MCMC under a geometric drift condition
Journal of Complexity
An introduction to randomness extractors
ICALP'11 Proceedings of the 38th international conference on Automata, languages and programming - Volume Part II
MV3: a new word based stream cipher using rapid mixing and revolving buffers
CT-RSA'07 Proceedings of the 7th Cryptographers' track at the RSA conference on Topics in Cryptology
Testing the (s,t)-disconnectivity of graphs and digraphs
Theoretical Computer Science
Fault tolerant decentralised K-Means clustering for asynchronous large-scale networks
Journal of Parallel and Distributed Computing
Hi-index | 0.00 |
We consider a finite random walk on a weighted graph G; we show that the fraction of time spent in a set of vertices A converges to the stationary probability $\pi (A)$ with error probability exponentially small in the length of the random walk and the square of the size of the deviation from $\pi (A)$. The exponential bound is in terms of the expansion of G and improves previous results of [D. Aldous, Probab. Engrg. Inform. Sci., 1 (1987), pp. 33--46], [L. Lovász and M. Simonovits, {\it Random Structures Algorithms}, 4 (1993), pp. 359--412], [M. Ajtai, J. Komlós, and E. Szemerédi, Deterministic simulation of logspace, in Proc. 19th ACM Symp. on Theory of Computing, 1987].We show that taking the sample average from one trajectory gives a more efficient estimate of $\pi (A)$ than the standard method of generating independent sample points from several trajectories. Using this more efficient sampling method, we improve the algorithms of Jerrum and Sinclair for approximating the number of perfect matchings in a dense graph and for approximating the partition function of a ferromagnetic Ising system, and we give an efficient algorithm to estimate the entropy of a random walk on an unweighted graph.