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Joel Spencer
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Mathematical Exposition with his coauthor Noga Alon for their book The Probabilistic Method. Probabilistic methods in combinatorics, with Paul Erdős, New York:Gilbert–Varshamov bound (710 words) [view diff] exact match in snippet view article find links to article
by far the most popular. Varshamov proved this bound by using the probabilistic method for linear codes. For more about that proof, see Gilbert–VarshamovBerlekamp–Rabin algorithm (2,006 words) [view diff] exact match in snippet view article find links to article
finding algorithm, also called the Berlekamp–Rabin algorithm, is the probabilistic method of finding roots of polynomials over the field F p {\displaystyleTurán's theorem (3,284 words) [view diff] case mismatch in snippet view article find links to article
proof is due to Noga Alon and Joel Spencer, from their book The Probabilistic Method. The proof shows that every graph with degrees d 1 , d 2 , … , dForbidden subgraph problem (4,298 words) [view diff] exact match in snippet view article find links to article
G} in the graph, giving us a G {\displaystyle G} free graph. The probabilistic method can be used to prove ex ( n , G ) ≥ c n 2 − v ( G ) − 2 e ( G )First-order second-moment method (2,323 words) [view diff] exact match in snippet view article find links to article
referenced as mean value first-order second-moment (MVFOSM) method, is a probabilistic method to determine the stochastic moments of a function with random inputStochastic grammar (377 words) [view diff] exact match in snippet view article find links to article
inherently simpler or less structural than non-probabilistic models." A probabilistic method for rhyme detection is implemented by Hirjee & Brown in their studyAlgorithms and Combinatorics (529 words) [view diff] case mismatch in snippet view article find links to article
Random Graphs (Joel Spencer, 2001, vol. 22) Graph Colouring and the Probabilistic Method (Michael Molloy and Bruce Reed, 2002, Vol. 23) Combinatorial Optimization:Pipe network analysis (1,473 words) [view diff] exact match in snippet view article find links to article
due to lack of knowledge or flow variability. For these reasons, a probabilistic method for pipe network analysis has recently been developed, based on theSpectral graph theory (1,844 words) [view diff] exact match in snippet view article find links to article
2591513. ISSN 1053-587X. S2CID 12844791. Alon; Spencer (2011), The probabilistic method, Wiley. Brouwer, Andries; Haemers, Willem H. (2011), Spectra of GraphsDecisional Diffie–Hellman assumption (1,120 words) [view diff] exact match in snippet view article find links to article
{\displaystyle b} and a b {\displaystyle ab} , respectively, which provides a probabilistic method to distinguish g a b {\displaystyle g^{ab}} from a random group elementNon-malleable code (2,173 words) [view diff] case mismatch in snippet view article find links to article
call the above family the bit-wise independent tampering family. Probabilistic Method Approach For any "small enough" function family F {\displaystyleSvante Janson (1,139 words) [view diff] exact match in snippet view article find links to article
MR 1133371. S2CID 120249197. Alon, Noga; Spencer, Joel (2008). The probabilistic method. Wiley-Interscience Series in Discrete Mathematics and OptimizationBenjamin Rossman (737 words) [view diff] exact match in snippet view article find links to article
Boolean circuits. Through creative techniques based in logic and the probabilistic method, Ben has derived groundbreaking lower bounds on the complexity ofTalagrand's concentration inequality (526 words) [view diff] case mismatch in snippet view article find links to article
_{i}^{2}\right)^{1/2}} Alon, Noga; Spencer, Joel H. (2000). The Probabilistic Method (2nd ed.). John Wiley & Sons, Inc. ISBN 0-471-37046-0. Ledoux, MichelClutch (sports) (2,000 words) [view diff] case mismatch in snippet view article
(2002). "Determining the Individual Zone of Optimal Functioning by a Probabilistic Method". Medicine & Science in Sports & Exercise. 34 (5): 84. doi:10Image stitching (2,835 words) [view diff] exact match in snippet view article find links to article
probability increasing as more iterations are performed. It being a probabilistic method means that different results will be obtained for every time theNizar Touzi (568 words) [view diff] exact match in snippet view article find links to article
Jérôme Lebuchoux and Pierre-Louis Lions, describes an original probabilistic method to compute option contract Greeks: delta, gamma, theta, and vegaBinomial distribution (7,554 words) [view diff] case mismatch in snippet view article find links to article
Publications. p. 115. ISBN 9780486665214. Matoušek, J.; Vondrak, J. "The Probabilistic Method" (PDF). lecture notes. Archived (PDF) from the original on 2022-10-09Oil and gas reserves and resource quantification (4,735 words) [view diff] case mismatch in snippet view article find links to article
DG; Howe, MJ; Archer, SG (July 2017). "A Combined Deterministic-Probabilistic Method of Estimating Undiscovered Hydrocarbon Resources". Journal of PetroleumDiscrepancy of hypergraphs (1,653 words) [view diff] exact match in snippet view article find links to article
{H}})\leq {\sqrt {2n\ln(2m)}}.} The proof is a simple application of the probabilistic method. Let χ : V → { − 1 , 1 } {\displaystyle \chi :V\rightarrow \{-1,1\}}Chess.com (4,702 words) [view diff] exact match in snippet view article find links to article
and Houdini. The Komodo team also announced the addition of the probabilistic method of Monte Carlo tree search machine learning, the same methods usedMaximum cut (2,816 words) [view diff] exact match in snippet view article find links to article
Erdős conjectured it. Edwards proved the Edwards-Erdős bound using probabilistic method; Crowston et al. proved the bound using linear algebra and analysisStephen Emmott (1,689 words) [view diff] exact match in snippet view article find links to article
Internet auctions, the digital wallet and a biologically-inspired, probabilistic method to predict the behaviour of financial markets. In 2003, Emmott joinedLeroy P. Steele Prize (2,239 words) [view diff] case mismatch in snippet view article find links to article
Stacks Project. 2021 Noga Alon and Joel H. Spencer for their book The Probabilistic Method, published by Wiley & Sons Inc. in 1992. 2020 Martin R. Bridson andLoomis–Whitney inequality (1,675 words) [view diff] exact match in snippet view article find links to article
ISBN 978-3-662-07441-1. Alon, Noga; Spencer, Joel H. (2016). The probabilistic method. Wiley Series in Discrete Mathematics and Optimization (Fourth editionAzuma's inequality (2,162 words) [view diff] case mismatch in snippet view article find links to article
the classical Hoeffding's lemma. Alon, N.; Spencer, J. (1992). The Probabilistic Method. New York: Wiley. Azuma, K. (1967). "Weighted Sums of Certain DependentStreaming algorithm (3,608 words) [view diff] exact match in snippet view article find links to article
and δ is the confidence parameter. Flajolet et al. in introduced probabilistic method of counting which was inspired from a paper by Robert Morris. MorrisBerlekamp switching game (1,968 words) [view diff] case mismatch in snippet view article find links to article
Joel (1994). "Lecture 6: Chaos from order". Ten Lectures on the Probabilistic Method. CBMS-NSF Regional Conference Series in Applied Mathematics. VolExpander graph (5,233 words) [view diff] case mismatch in snippet view article find links to article
; Spencer, Joel H. (2011). "9.2. Eigenvalues and Expanders". The Probabilistic Method (3rd ed.). John Wiley & Sons. Chung, Fan R. K. (1997), Spectral GraphBayesian inference in phylogeny (5,015 words) [view diff] exact match in snippet view article find links to article
methods in molecular phylogenetics. Bayesian inference refers to a probabilistic method developed by Reverend Thomas Bayes based on Bayes' theorem. PublishedSuperellipsoid (2,307 words) [view diff] exact match in snippet view article find links to article
, z i ) ‖ 2 {\displaystyle r_{i}=\|(x_{i},y_{i},z_{i})\|_{2}} A probabilistic method called EMS is designed to deal with noise and outliers. In this methodSNV calling from NGS data (3,217 words) [view diff] exact match in snippet view article find links to article
data from these individuals. The error model used in creating a probabilistic method for variant calling is the basis for calculating the P ( D ∣ G )Andrew M. Gleason (5,389 words) [view diff] case mismatch in snippet view article find links to article
S2CID 96422853. Spencer, Joel J. (1994), Ten Lectures on the Probabilistic Method, SIAM, p. 4, ISBN 978-0-89871-325-1 Graham, R. L. (1992), "RootsShanxi Rift System (2,103 words) [view diff] exact match in snippet view article find links to article
S2CID 234250600. Zang, M.; Peng, J.; Xu, N.; Jia, Z. (2021). "A probabilistic method for mapping earth fissure hazards". Scientific Reports. 11 (1): 8841Packing in a hypergraph (2,455 words) [view diff] case mismatch in snippet view article find links to article
167–172, doi:10.1002/rsa.3240070206. Alon, N.; Spencer, J. (2008), The Probabilistic Method (3rd ed.), Wiley-Interscience, New York, ISBN 978-0-470-17020-5.Face hallucination (1,633 words) [view diff] exact match in snippet view article find links to article
global face image which keeps the characteristics of the face using probabilistic method maximum a posteriori (MAP). The second step produces residual imageList decoding (3,774 words) [view diff] exact match in snippet view article find links to article
q^{\Omega (n)}\end{aligned}}} Therefore, by the probabilistic method, we have shown that if the rate exceeds the list-decoding capacityDragon NaturallySpeaking (938 words) [view diff] exact match in snippet view article find links to article
was first released for DOS, and utilized hidden Markov models, a probabilistic method for temporal pattern recognition. At the time, the hardware was notList of RNA-Seq bioinformatics tools (20,486 words) [view diff] exact match in snippet view article find links to article
differentially regulated exons/isoforms across different samples. MISO uses a probabilistic method (Bayesian inference) to calculate the probability of the reads origin