In computational complexity theory, the linear speedup theorem for Turing machines states that given any real c > 0 and any k-tape Turing machine solving...

a more efficient algorithm solving the same problem. Examples: Linear speedup theorem, that the space and time requirements of a Turing machine solving...

automaton classes,: 225  by the same argument used to prove the linear speedup theorem. Linear bounded automata are acceptors for the class of context-sensitive...

complexity theory) Lamé’s theorem (computational complexity theory) Linear speedup theorem (computational complexity theory) Master theorem (analysis of algorithms)...

never provide more than a quadratic time speedup over a singletape machine. Due to the Linear speedup theorem for Turing machines, multiplicative constants...

machines (see Linear speedup theorem). Moreover, Ben-Amram proved that, in the above models, for f of polynomial growth rate (but more than linear), it is the...

In combinatorics, Ramsey's theorem, in one of its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours)...

complexity Constructible function Cook-Levin theorem Exponential time Function problem Linear time Linear speedup theorem Natural proof Polynomial time Polynomial-time...

read/write input tape, a linear amount of memory could be obtained by packing of symbols (as in the proof of the linear speedup theorem), thus evading the logspace...

Equivalently it is the dimension of the image of the linear map represented by A. The rank–nullity theorem states that the dimension of the kernel of a matrix...

exponentially many steps, and Grover's algorithm provides at most a quadratic speedup over the classical solution for unstructured search, this suggests that...

single-tape Turing machine to a multi-tape machine can lead to a quadratic speedup, but any algorithm that runs in polynomial time under one model also does...

and it identified I/O constraints that make speedup unlikely for "big data problems, unstructured linear systems, and database search based on Grover's...

called perfect linear speedup. An algorithm that exhibits linear speedup is said to be scalable. Analytical expressions for the speedup of many important...

A quantum speedup of the agent's internal decision-making time has been experimentally demonstrated in trapped ions, while a quantum speedup of the learning...

optimal algorithm is called speedup. Blum's speedup theorem shows that there exist artificially constructed problems with speedup. However, it is an open...

remainder theorem. Johan Håstad noticed that this attack is possible even if the clear texts are not equal, but the attacker knows a linear relation between...

vector to a given system of linear equations. The algorithm is one of the main fundamental algorithms expected to provide a speedup over their classical counterparts...

used to obtain a solution of a system of linear congruences that is guaranteed by the Chinese Remainder Theorem. For example, the system X ≡ 4 (mod 5) X...

{\displaystyle N} is the number of variables in the linear system. This offers an exponential speedup over the fastest classical algorithm, which runs in...

that can be solved by that quantum computer and has a superpolynomial speedup over the best known or possible classical algorithm for that task. Examples...

Grover's algorithm: provides quadratic speedup for many search problems Shor's algorithm: provides exponential speedup (relative to currently known non-quantum...

leads to a linear speedup: the computational cost of constructing an accurate surrogate decrease, and the resulting computational speedup s {\displaystyle...

concrete results like the compression theorem, the gap theorem, the honesty theorem and the Blum speedup theorem. Some of his other work includes a protocol...

This follows from Fine's theorem. Quantum contextuality has been identified as a source of quantum computational speedups and quantum advantage in quantum...

In computer science, the Method of Four Russians or "The Four-Russians speedup," is a technique for speeding up algorithms involving Boolean matrices...

has also been proven to provide a fast Grover oracle for the square-root speedup in solving many NP-complete problems. Quantum annealing can be compared...

the arithmetic mean. Metrics that are inversely proportional to time (speedup, IPC) should be averaged using the harmonic mean. The geometric mean can...

y_{circular}(n_{1},n_{2})=y_{linear}(n_{1},n_{2})} for ( n 1 , n 2 ) ∈ R N 1 N 2 {\displaystyle (n_{1},n_{2})\in R_{N_{1}N_{2}}} The Convolution theorem and circular...

In statistics and control theory, Kalman filtering (also known as linear quadratic estimation) is an algorithm that uses a series of measurements observed...