scholarly journals The relative complexity of NP search problems

1995 ◽  
Author(s):  
Paul Beame ◽  
Stephen Cook ◽  
Jeff Edmonds ◽  
Russell Impagliazzo ◽  
Toniann Pitassi
Keyword(s):  
Search Problems ◽  
Relative Complexity

scholarly journals The Relative Complexity of NP Search Problems

1998 ◽  
Vol 57 (1) ◽  
pp. 3-19 ◽  
Author(s):  
Paul Beame ◽  
Stephen Cook ◽  
Jeff Edmonds ◽  
Russell Impagliazzo ◽  
Toniann Pitassi
Keyword(s):  
Search Problems ◽  
Relative Complexity

Best Neighbor Heuristic Search for Finding Minimum Paths in Transportation Networks

1998 ◽  
Vol 1651 (1) ◽  
pp. 48-52 ◽  
Author(s):  
Jeffrey L. Adler
Keyword(s):  
Heuristic Search ◽  
Transportation Networks ◽  
Transportation Network ◽  
Search Problems ◽  
A Algorithm ◽  
Running Time ◽  
Search Effort ◽  
Wide Range ◽  
Path Search ◽  
Sparse Networks

For a wide range of transportation network path search problems, the A* heuristic significantly reduces both search effort and running time when compared to basic label-setting algorithms. The motivation for this research was to determine if additional savings could be attained by further experimenting with refinements to the A* approach. We propose a best neighbor heuristic improvement to the A* algorithm that yields additional benefits by significantly reducing the search effort on sparse networks. The level of reduction in running time improves as the average outdegree of the network decreases and the number of paths sought increases.

scholarly journals A framework for reducing the overhead of the quantum oracle for use with Grover’s algorithm with applications to cryptanalysis of SIKE

2020 ◽  
Vol 15 (1) ◽  
pp. 143-156
Author(s):  
Jean-François Biasse ◽  
Benjamin Pring
Keyword(s):  
Search Algorithm ◽  
Circuit Complexity ◽  
Quantum Circuit ◽  
Grover’S Algorithm ◽  
Search Problems ◽  
Trade Offs ◽  
Single Target ◽  
Grover's Algorithm ◽  
Quantum Oracle ◽  
The Cost

AbstractIn this paper we provide a framework for applying classical search and preprocessing to quantum oracles for use with Grover’s quantum search algorithm in order to lower the quantum circuit-complexity of Grover’s algorithm for single-target search problems. This has the effect (for certain problems) of reducing a portion of the polynomial overhead contributed by the implementation cost of quantum oracles and can be used to provide either strict improvements or advantageous trade-offs in circuit-complexity. Our results indicate that it is possible for quantum oracles for certain single-target preimage search problems to reduce the quantum circuit-size from $O\left(2^{n/2}\cdot mC\right)$ (where C originates from the cost of implementing the quantum oracle) to $O(2^{n/2} \cdot m\sqrt{C})$ without the use of quantum ram, whilst also slightly reducing the number of required qubits.This framework captures a previous optimisation of Grover’s algorithm using preprocessing [21] applied to cryptanalysis, providing new asymptotic analysis. We additionally provide insights and asymptotic improvements on recent cryptanalysis [16] of SIKE [14] via Grover’s algorithm, demonstrating that the speedup applies to this attack and impacting upon quantum security estimates [16] incorporated into the SIKE specification [14].

Putting relative complexity estimates to work: a simple and general statistical methodology

2003 ◽  
Vol 319 ◽  
pp. 591-600 ◽  
Author(s):  
Lluis nindexLligonaLligoña Trulla ◽  
Joseph P. Zbilut ◽  
Alessandro Giuliani
Keyword(s):  
Statistical Methodology ◽  
Relative Complexity ◽  
General Statistical

Towards self-predicting systems: What if you could ask ‘what-if’?

2006 ◽  
Vol 21 (3) ◽  
pp. 261-267 ◽  
Author(s):  
ENO THERESKA ◽  
DUSHYANTH NARAYANAN ◽  
GREGORY R. GANGER
Keyword(s):  
System Design ◽  
Large System ◽  
System Management ◽  
System Behavior ◽  
Search Problems ◽  
Interactive Exploration ◽  
Design Changes ◽  
Rules Of Thumb ◽  
System Changes ◽  
Management Problems

Today, management and tuning questions are approached using if… then… rules of thumb. This reactive approach requires expertise regarding system behavior, making it difficult to deal with unforeseen uses of a system’s resources and leading to system unpredictability and large system management overheads. We propose a What…if… approach that allows interactive exploration of the effects of system changes, thus converting complex tuning problem into simpler search problems. Through two concrete management problems, automating system upgrades and deciding on service migrations, we identify system design changes that enable a system to answer What…if… questions about itself.

Effect of Complexity of the Second Response on Reaction Time to the First Response in the Psychological Refractory Period Paradigm

1987 ◽  
Vol 64 (3_suppl) ◽  
pp. 1075-1080 ◽  
Author(s):  
Craig J. Chamberlin
Keyword(s):  
Reaction Time ◽  
Refractory Period ◽  
Psychological Refractory Period ◽  
Parallel Model ◽  
Relative Complexity ◽  
Central Processing ◽  
Psychological Refractory Period Paradigm ◽  
First Response ◽  
Grouping Effect ◽  
Flexible Model

An attempt to distinguish serial from parallel models of central processing was made by manipulating the relative complexity of R2 and observing the effect of this manipulation on RT1 in the Psychological Refractory Period paradigm. 14 subjects performed under two conditions, either a simple or complex R2. Experimental controls were used to prevent a possible grouping effect of responses. The results did not support a parallel model of central processing but did support a serial view. Implications of results, combined with previous findings, for a more flexible model of central processing were discussed.

Sign in / Sign up

Export Citation Format

Share Document