The worst-case analysis is related to the worst-case complexity. Many algorithms with bad worst-case performance have good average-case performance...

In computational complexity theory, the average-case complexity of an algorithm is the amount of some computational resource (typically time) used by the...

worst-case complexity is the maximum of the complexity over all inputs of size n, and the average-case complexity is the average of the complexity over...

common types of complexity estimates are the average-case complexity and the almost-always complexity. To obtain the average-case complexity, given an input...

following complexities: Best-case complexity: This is the complexity of solving the problem for the best input of size n {\displaystyle n} . Average-case complexity:...

complexity of an algorithm should be contrasted with its average-case complexity, which is an average measure of the amount of resources the algorithm uses...

his work in randomness in computing, algorithmic complexity and intractability, average-case complexity, foundations of mathematics and computer science...

Generic-case complexity is a subfield of computational complexity theory that studies the complexity of computational problems on "most inputs". Generic-case...

Less common, and usually specified explicitly, is the average-case complexity, which is the average of the time taken on inputs of a given size (this makes...

worst-case complexity. Average-case analysis was first introduced to overcome the limitations of worst-case analysis. However, the resulting average-case complexity...

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

JSTOR 2580891. R. Impagliazzo, "A personal view of average-case complexity", p. 134, 10th Annual Structure in Complexity Theory Conference (SCT'95), 1995. "Tentative...

be obtained by a deterministic algorithm on a random input (its average-case complexity), for a probability distribution on inputs chosen to be as hard...

for time in order to obtain an average-case complexity of O(n) on random text, although it has O(nm) in the worst case, where the length of the pattern...

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

methods for analyzing the computational complexity of algorithms, including the theory of average-case complexity. He introduced the theory of analytic...

algorithm known for the worst case, but the average-case complexity can be shown to be about as hard as the worst case using random self-reducibility...

applications, worst case complexity is not sufficient, and we need to guarantee cryptographic construction are hard based on average case complexity. A full rank...

having constant size). This allows O ( n ) {\displaystyle O(n)} average time complexity even without uniformly distributed input. The most common variant...

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

complexity of the use cases for the system. To find the UUCW for a system, each of the use cases must be identified and classified as Simple, Average...

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...

hard worst-case or average-case complexity. Worst-case complexity measures the difficulty of solving pathological cases rather than typical cases of the underlying...

Impagliazzo, Russell (1995), "A personal view of average-case complexity", Proc. Tenth Annual Structure in Complexity Theory Conference (SCT'95), pp. 134–147,...

worst-case time complexity of O(log n). For a random heap, and for repeated insertions, the insertion operation has an average-case complexity of O(1)...

also developed one-pass Find algorithms that retain the same worst-case complexity but are more efficient in practice. These are called path splitting...

its average-case complexity (with the assumption that all input permutations are equally likely) or in its expected time analysis of worst-case inputs...

performed in the average case by randomized bogosort is asymptotically equivalent to (e − 1)n!, and the expected number of swaps in the average case equals (n...

This reduces the average complexity from O ( n log ⁡ n ) {\displaystyle O(n\log n)} to O ( n ) {\displaystyle O(n)} , with a worst case of O ( n 2 ) {\displaystyle...

In ordinary language, an average is a single number or value that best represents a set of data. The type of average taken as most typically representative...