scispace - formally typeset
Open AccessBook

Probability and Computing: Randomized Algorithms and Probabilistic Analysis

Reads0
Chats0
TLDR
Preface 1. Events and probability 2. Discrete random variables and expectation 3. Moments and deviations 4. Chernoff bounds 5. Balls, bins and random graphs 6. Probabilistic method 7. Markov chains and random walks 8. Continuous distributions and the Poisson process
Abstract
Preface 1. Events and probability 2. Discrete random variables and expectation 3. Moments and deviations 4. Chernoff bounds 5. Balls, bins and random graphs 6. The probabilistic method 7. Markov chains and random walks 8. Continuous distributions and the Poisson process 9. Entropy, randomness and information 10. The Monte Carlo method 11. Coupling of Markov chains 12. Martingales 13. Pairwise independence and universal hash functions 14. Balanced allocations References.

read more

Citations
More filters
Proceedings ArticleDOI

Representative skylines using threshold-based preference distributions

TL;DR: One of the main contributions is to formulate the problem of displaying k representative skyline points such that the probability that a random user would click on one of them is maximized.
Book ChapterDOI

On-the-Fly exact computation of bisimilarity distances

TL;DR: This paper proposes an efficient on-the-fly algorithm which computes exactly the distances between given states and avoids the exhaustive state space exploration, and improves the efficiency of the corresponding iterative algorithms with orders of magnitude.
Journal ArticleDOI

Attestation in Wireless Sensor Networks: A Survey

TL;DR: This article surveys the different approaches to attestation, focusing in particular on those aimed at Wireless Sensor Networks and organises them into a taxonomy, carefully analysing the advantages and disadvantages of each proposal.
Posted Content

Hashing-Based-Estimators for Kernel Density in High Dimensions.

TL;DR: In this article, the authors study the problem of designing a data structure that given a data set $P$ and a kernel function, returns *approximations to the kernel density* of a query point in *sublinear time.
Journal ArticleDOI

Routing for power minimization in the speed scaling model

TL;DR: This work studies a routing problem with the objective of provisioning guaranteed speed/bandwidth for a given demand matrix while minimizing power consumption, and presents an O((σ/μ)1/α)-approximation, and discusses why coming up with an approximation ratio independent of the startup cost may be hard.
References
More filters
Journal ArticleDOI

The power of two choices in randomized load balancing

TL;DR: This work uses a limiting, deterministic model representing the behavior as n/spl rarr//spl infin/ to approximate the behavior of finite systems and provides simulations that demonstrate that the method accurately predicts system behavior, even for relatively small systems.