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searching for Average-case complexity 20 found (48 total)

Computational complexity theory (6,718 words) [view diff] no match in snippet view article find links to article

algorithm is often expressed using big O notation. The best, worst and average case complexity refer to three different ways of measuring the time complexity

Yuri Gurevich (836 words) [view diff] no match in snippet view article find links to article

on various aspects of computational complexity theory including average case complexity. He became one of the founders of the emerging field of finite

Short integer solution problem (3,164 words) [view diff] no match in snippet view article find links to article

need to guarantee cryptographic construction are hard based on average case complexity. A full rank lattice L ⊂ R n {\displaystyle {\mathfrak {L}}\subset

Shellsort (3,436 words) [view diff] exact match in snippet view article find links to article

unknown whether Shellsort can reach this asymptotic order of average-case complexity, which is optimal for comparison sorts. The lower bound was improved

Benjamin Rossman (737 words) [view diff] case mismatch in snippet view article find links to article

in 2011 his Ph.D. with advisor Madhu Sudan from MIT with thesis Average-Case Complexity of Detecting Cliques. From 2010 to 2013 Rossman was a postdoc at

Patience sorting (1,127 words) [view diff] exact match in snippet view article find links to article

values form a single pile and both phases run in O(n) time. The average-case complexity is still O(n log n): any uniformly random sequence of values will

Russell Impagliazzo (820 words) [view diff] case mismatch in snippet view article find links to article

17. Impagliazzo, Russell (April 17, 1995). "A Personal View of Average-Case Complexity". Klarreich, Erica (April 18, 2022). "Which Computational Universe

Proportion extend sort (1,124 words) [view diff] case mismatch in snippet view article find links to article

Samplesort: A Class of O(n log22 n) Worst-Case Complexity and O(n log n) Average-Case Complexity Sorting Algorithms". arXiv:1801.09431 [cs.DS]. Chen, Jing-Chao

Miklós Ajtai (619 words) [view diff] exact match in snippet view article find links to article

1986, Budapest. Ajtai, Miklós (1998). "Worst-case complexity, average-case complexity and lattice problems". Documenta Mathematica: 421–428. AAAS Members

Ilya Kapovich (391 words) [view diff] exact match in snippet view article find links to article

Myasnikov, Alexei; Schupp, Paul; Shpilrain, Vladimir (2005). "Average-case complexity and decision problems in group theory". Advances in Mathematics

Pathological (mathematics) (2,386 words) [view diff] no match in snippet view article

atypical behavior from the algorithm, such as a violation of its average case complexity, or even its correctness. For example, hash tables generally have

Quasi-Monte Carlo methods in finance (2,945 words) [view diff] no match in snippet view article find links to article

conclusions. Woźniakowski's 1991 paper, showing the connection between average case complexity of integration and QMC, led to new interest in QMC. Woźniakowski's

Jacobi eigenvalue algorithm (4,682 words) [view diff] exact match in snippet view article find links to article

m_{i})} . Also the updating of the index array can be done in O(n) average-case complexity: First, the maximum entry in the updated rows k and l can be found

Bidirectional search (2,768 words) [view diff] exact match in snippet view article find links to article

graph-dependent, but the heuristic and bidirectional nature reduce the average-case complexity. Pohl, Ira (1971). "Bi-directional search". ... {{cite journal}}:

Incompressibility method (3,534 words) [view diff] exact match in snippet view article find links to article

average-case complexity of Shellsort", Journal of the ACM (JACM), 47:5(2000) 905–911. doi:10.1145/355483.355488 P.M.B. Vitanyi (2018), On the average‐case

Binary heap (5,127 words) [view diff] exact match in snippet view article find links to article

heap, and for repeated insertions, the insertion operation has an average-case complexity of O(1). As an example of binary heap insertion, say we have a

Simplex algorithm (6,208 words) [view diff] exact match in snippet view article find links to article

measures of complexity. The simplex algorithm has polynomial-time average-case complexity under various probability distributions, with the precise average-case

Glossary of mathematical jargon (5,513 words) [view diff] exact match in snippet view article find links to article

PMID 16588584. Impagliazzo, Russell (1995), "A personal view of average-case complexity", Proc. Tenth Annual Structure in Complexity Theory Conference

Quantum supremacy (5,929 words) [view diff] exact match in snippet view article find links to article

Michael J.; Montanaro, Ashley; Shepherd, Dan J. (2016-08-18). "Average-case complexity versus approximate simulation of commuting quantum computations"

Matroid parity problem (3,443 words) [view diff] exact match in snippet view article find links to article

{\displaystyle k} , and applying Yao's principle relating expected and average-case complexity, one can show that any deterministic or randomized algorithm for