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Topics referred to by the same term
Optimal sorting may refer to: in a sequential context, an optimal comparison sort in a parallel context, an optimal sorting network This disambiguation
Optimal_sorting
Abstract devices built up of a fixed number of "wires"
perform sorting on fixed numbers of values, in which case they are called sorting networks. Sorting networks differ from general comparison sorts in that
Sorting_network
Algorithm that arranges lists in order
than 20 elements). Similarly optimal (by various definitions) sorting on a parallel machine is an open research topic. Sorting algorithms can be classified
Sorting_algorithm
Divide and conquer sorting algorithm
are of theoretical interest because they show an optimal selection algorithm can yield an optimal sorting algorithm. Instead of partitioning into two subarrays
Quicksort
Hybrid sorting algorithm
Introsort or introspective sort is a hybrid sorting algorithm that provides both fast average performance and (asymptotically) optimal worst-case performance
Introsort
Non-comparative lexicographical sorting algorithm
In computer science, radix sort is a non-comparative sorting algorithm. It avoids comparison by creating and distributing elements into buckets according
Radix_sort
Divide and conquer sorting algorithm
Merge sort (also commonly spelled as mergesort or merge-sort) is an efficient, general-purpose, comparison-based sorting algorithm. Most implementations
Merge_sort
Class of sorting algorithms that can handle massive amounts of data
External sorting is a class of sorting algorithms that can handle massive amounts of data. External sorting is required when the data being sorted do not
External_sorting
Topics referred to by the same term
Search for "optimum" on Wikipedia. All pages with titles beginning with Optimum All pages with titles containing Optimum Optimal sorting (disambiguation)
Optimum_(disambiguation)
Weakly optimal allocation of resources
identify a single "best" (optimal) outcome. Instead, it only identifies a set of outcomes that might be considered optimal, by at least one person. Formally
Pareto_efficiency
Node ordering for directed acyclic graphs
constructing it. Topological sorting has many applications, especially in ranking problems such as feedback arc set. Topological sorting is also possible when
Topological_sorting
Sorting algorithm
Powersort is an adaptive sorting algorithm designed to optimally exploit existing order in the input data with minimal overhead. Since version 3.11, Powersort
Powersort
Comparison sorting algorithm
Cycle sort is an in-place, unstable sorting algorithm, a comparison sort that is theoretically optimal in terms of the total number of writes to the original
Cycle_sort
Type of sorting algorithm
out in sorted order. Its typical use is sorting elements online: after each insertion, the set of elements seen so far is available in sorted order. Tree
Tree_sort
Simple sorting algorithm using comparisons
already sorted, while quicksort would still perform its entire O ( n log n ) {\displaystyle O(n\log n)} sorting process. While any sorting algorithm
Bubble_sort
Sorting algorithm
the original. Knuth, Donald E. (1973). "Sorting by Exchanging". Art of Computer Programming. Vol. 3. Sorting and Searching (1st ed.). Addison-Wesley.
Cocktail_shaker_sort
Sorting algorithm which uses multiple comparison intervals
Shell sort or Shell's method, is an in-place comparison sort. It can be understood as either a generalization of sorting by exchange (bubble sort) or sorting
Shellsort
Sorting algorithm
quadratic sorting algorithms (sorting algorithms with a simple average-case of Θ(n2)), selection sort almost always outperforms bubble sort and gnome sort. Insertion
Selection_sort
Sorting algorithm
Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time by comparisons. It is much less efficient
Insertion_sort
Mathematics problem
Pancake sorting is the mathematical problem of sorting a disordered stack of pancakes in order of size when a spatula can be inserted at any point in the
Pancake_sorting
Construction of sorting networks
sorting networks of size O(n (log n)2) and depth O((log n)2), where n is the number of items to be sorted. Although it is not asymptotically optimal,
Batcher_odd–even_mergesort
Hybrid sorting algorithm based on insertion sort and merge sort
Timsort is a hybrid, stable sorting algorithm, derived from merge sort and insertion sort, designed to perform well on many kinds of real-world data.
Timsort
Comparison-based sorting algorithm
Block-optimal algorithm is Exc optimal and Rem optimal. Adaptive heap sort is a variant of heap sort that seeks optimality (asymptotically optimal) with
Adaptive_heap_sort
Algorithm for visible surface determination in 3D graphics
algorithm's time-complexity depends on the sorting algorithm used to order the polygons. Assuming an optimal sorting algorithm, painter's algorithm has a worst-case
Painter's_algorithm
Parallel sorting algorithm
for sorting. It is also used as a construction method for building a sorting network. The algorithm was devised by Ken Batcher. The resulting sorting networks
Bitonic_sorter
Function for sorting in C++ standard library
merge sort for in-place stable sorting and regular merge sort for stable sorting with additional memory. Partial sorting is implemented by partial_sort, which
Sort_(C++)
Sequence of operations for a task
discovered improved sorting and hashing algorithms. In a paper published in Nature, AlphaDev was reported to have discovered small sorting algorithms that
Algorithm
Computational task of sorting whole numbers
integer sorting is the algorithmic problem of sorting a collection of data values by integer keys. Algorithms designed for integer sorting may also often
Integer_sorting
Sorting algorithm
In computer science, patience sorting is a sorting algorithm inspired by, and named after, the card game patience. A variant of the algorithm efficiently
Patience_sorting
Sorting algorithm
In computer science, bogosort (also known as permutation sort and stupid sort) is a sorting algorithm based on the generate and test paradigm. The function
Bogosort
Mathematical concept
f(x^{*})} ) is called Pareto optimal if there does not exist another solution that dominates it. The set of Pareto optimal outcomes, denoted X ∗ {\displaystyle
Multi-objective_optimization
Economic-political theory
benefits/costs from one community to the next. An optimal city size exists. Communities try to achieve "optimal size". Tax-benefit linkage - goods like public
Tiebout_model
Relaxed variant of the sorting problem
In computer science, partial sorting is a relaxed variant of the sorting problem. Total sorting is the problem of returning a list of items such that its
Partial_sorting
Pair of positions in a sequence where two elements are out of sorted order
Pub. Co. ISBN 0201896850. Mahmoud, Hosam Mahmoud (2000). "Sorting Nonrandom Data". Sorting: a distribution theory. Wiley-Interscience series in discrete
Inversion (discrete mathematics)
Inversion_(discrete_mathematics)
Measure of algorithm performance for large inputs
implement. Thus asymptotically optimal algorithms are not always the "end of the line". Although asymptotically optimal algorithms are important theoretical
Asymptotically optimal algorithm
Asymptotically_optimal_algorithm
Sorting algorithms which exploit existing order in its input
disorder – and sorts faster. Adaptive sorting is usually performed by modifying existing sorting algorithms. Comparison-based sorting algorithms have
Adaptive_sort
combined into a fully sorted list. If P = 1 {\displaystyle P=1} the task is delegated to a cache-optimal single-processor sorting algorithm. Otherwise
Parallel_external_memory
Any node-based binary search tree that automatically keeps its height the same
a very simple-to-describe yet asymptotically optimal O ( n log n ) {\displaystyle O(n\log n)} sorting algorithm. Similarly, many algorithms in computational
Self-balancing binary search tree
Self-balancing_binary_search_tree
Efficient sorting algorithm that combines insert and merge operations
Block sort, or block merge sort, is a sorting algorithm combining at least two merge operations with an insertion sort to arrive at O(n log n) (see Big
Block_sort
Sorting algorithm
counting sort is an algorithm for sorting a collection of objects according to keys that are small positive integers; that is, it is an integer sorting algorithm
Counting_sort
"Half Turn Metric"). It means that the length of an optimal solution in HTM ≤ the length of an optimal solution in QTM. The maximal number of face turns
Optimal solutions for the Rubik's Cube
Optimal_solutions_for_the_Rubik's_Cube
Automated sorting of solid products using cameras or lasers
Optical sorting (sometimes called digital sorting) is the automated process of sorting solid products using cameras and/or lasers. Depending on the types
Optical_sorting
Hungarian mathematician (1941–2005)
combinatorics, including "sorting algorithms". He obtained his candidate's degree in his dissertation on "Optimal sorting algorithms". Honorary Heir
Árpád_Varecza
Sorting algorithm using the heap data structure
git/tree/lib/sort.c#n205 Linux kernel source Maus, Arne [in Norwegian] (14 May 2014). "Sorting by generating the sorting permutation, and the
Heapsort
Tool for analyzing divide-and-conquer algorithms
c<\log _{b}a} where a = 2 , b = 2 , c = 0 {\displaystyle a=2,b=2,c=0} Optimal sorted matrix search T ( n ) = 2 T ( n 2 ) + O ( log n ) {\displaystyle T(n)=2T\left({\frac
Master theorem (analysis of algorithms)
Master_theorem_(analysis_of_algorithms)
Technique to compress data
these weights are sorted. However, although optimal among methods encoding symbols separately, Huffman coding is not always optimal among all compression
Huffman_coding
Way to sort sperm cells in fertilization
expand the possibilities of sperm sorting and new techniques of sperm sorting are being developed. It can be used to sort out sperm that are most healthy
Sperm_sorting
Type of sorting algorithm that works by comparing pairs of elements
than the Ω(n log n) bound for comparison sorting by using non-comparison sorts; an example is integer sorting, where all keys are integers. When the keys
Comparison_sort
Algorithmic optimization method
actually equal to the optimal solution value. When this happens, the decision algorithm can detect the equality and save the optimal solution value for later
Parametric_search
AI model that developer a super-human sorting algorithm
algorithms. AlphaDev discovered new sorting algorithms, which led to up to 70% improvements in the LLVM libc++ sorting library for shorter sequences and
AlphaDev
Sorting algorithm
odd–even sort or odd–even transposition sort (also known as brick sort[self-published source] or parity sort) is a relatively simple sorting algorithm
Odd–even_sort
Lab technique in biology and chemistry
sorting is a method to purify cell populations based on the presence or absence of specific physical characteristics. In flow cytometers with sorting
Flow_cytometry
Sorting algorithm
Library sort or gapped insertion sort is a sorting algorithm that uses an insertion sort, but with gaps in the array to accelerate subsequent insertions
Library_sort
Algorithm that begins on possibly incomplete inputs
optimization. As an example, consider the sorting algorithms selection sort and insertion sort: selection sort repeatedly selects the minimum element from
Online_algorithm
Humorous sorting algorithm
Slowsort is a sorting algorithm. It is of humorous nature and not useful. It is a reluctant algorithm based on the principle of multiply and surrender
Slowsort
Selection algorithm
which has fast average performance and optimal worst-case performance. Introselect is related to the introsort sorting algorithm: these are analogous refinements
Introselect
Type of computer algorithm
sub-lists (runs), primarily used for external sorting, and is more efficient than an ordinary merge sort when there are fewer than eight external working
Polyphase_merge_sort
Sorting algorithm
Pigeonhole sorting is a sorting algorithm that is suitable for sorting lists of elements where the number n of elements and the length N of the range
Pigeonhole_sort
Array sorting algorithm
Cubesort is a parallel sorting algorithm that builds a self-balancing multi-dimensional array from the keys to be sorted. As the axes are of similar length
Cubesort
Type of comparison sorting algorithm
Programming, Vol. 3: Sorting and Searching (2nd ed.), pp. 184–186 Manacher, Glenn K. (July 1979), "The Ford-Johnson Sorting Algorithm Is Not Optimal", Journal of
Merge-insertion_sort
Interval based sorting algorithm
Comb sort is a relatively simple sorting algorithm originally designed by Włodzimierz Dobosiewicz and Artur Borowy in 1980, later rediscovered (and given
Comb_sort
I/O-efficient algorithm regardless of cache size
that are optimally sized for a given cache. Optimal cache-oblivious algorithms are known for matrix multiplication, matrix transposition, sorting, and several
Cache-oblivious_algorithm
pairwise sorting network is a sorting network discovered and published by Ian Parberry in 1992 in Parallel Processing Letters. The pairwise sorting network
Pairwise_sorting_network
Comparison-based sorting algorithm
shown to be asymptotically optimal for comparison sorts. This distribution sort also achieves the asymptotically optimal runtime complexity of Θ ( N
Cache-oblivious distribution sort
Cache-oblivious_distribution_sort
Comparison-based sorting algorithm
In computer science, smoothsort is a comparison-based sorting algorithm. A variant of heapsort, it was invented and published by Edsger Dijkstra in 1981
Smoothsort
New South Wales. Mannila, H (1985). "Measures of Presortedness and Optimal Sorting Algorithms". IEEE Trans. Comput. (C-34): 318–325. doi:10.1109/TC.1985
Run_of_a_sequence
Design and implementation of tax policy maximizing social welfare
Optimal tax theory or the theory of optimal taxation is the study of designing and implementing a tax that maximises a social welfare function subject
Optimal_tax
Linguistic model for phonological analysis
delimiters. Optimality theory (frequently abbreviated OT) is a linguistic model proposing that the observed forms of language arise from the optimal satisfaction
Optimality_theory
Combinatorial optimization problem
B is also optimal. Once the greedy choice is made, the problem reduces to finding an optimal solution for the subproblem. If A is an optimal solution to
Activity_selection_problem
Workplace organisation method
organize a work space for efficiency and effectiveness by identifying and sorting the items used, maintaining the area and items, and sustaining the new
5S_(methodology)
Professor emeritus of computer science
(STL). In Musser (1997), he developed the sorting algorithm called introsort (also known as introspective sort), and the related selection algorithm called
David_Musser
Almost-sorted sequence in computer science
more efficient than sorting. Similarly, sorting a sequence is easier if it is known that the sequence is k {\displaystyle k} -sorted. So if a program needs
K-sorted_sequence
Algorithm for finding shortest paths
mathematically optimal. To obtain a ranked list of less-than-optimal solutions, the optimal solution is first calculated. A single edge appearing in the optimal solution
Dijkstra's_algorithm
Problem of sorting pairs of numbers by their sum
unsolved problems in computer science In computer science, X + Y sorting is the problem of sorting pairs of numbers by their sums. Applications of the problem
X_+_Y_sorting
Class of algorithms in computational geometry
the same as for sorting using the following reduction. For the set x 1 , … , x n {\displaystyle x_{1},\dots ,x_{n}} numbers to sort consider the set
Convex_hull_algorithms
1976 computer science book by Niklaus Wirth
inherently related. For example, if one has a sorted list one will use a search algorithm optimal for sorted lists. The book is one of the most influential
Algorithms + Data Structures = Programs
Algorithms_+_Data_Structures_=_Programs
Use of mechanosensory systems to sort particles
used in the industry include ore sorting, automated sorting, electronic sorting, and optical sorting. Sensor-based sorting has been introduced by Wotruba
Sensor-based_sorting
Australian computer scientist (born 1944)
Donald Knuth. His thesis focused on analysis of the Shellsort sorting algorithm and sorting networks. Pratt was an assistant professor at MIT (1972 to 1976)
Vaughan_Pratt
Sorting algorithm in computer science
Interpolation sort (or histogram sort) is a sorting algorithm that uses an interpolation formula to divide and conquer. It is a variant of bucket sort. Data is
Interpolation_sort
Unsolved problem on partial orders
of comparison sorting problems was considered by Fredman in 1976, among them the problem of comparison sorting a set X when the sorted order of X is known
1/3–2/3_conjecture
Search algorithm
than half that of simple minimax if the nodes are evaluated in an optimal or near optimal order (best choice for side on move ordered first at each node)
Alpha–beta_pruning
Heuristic search algorithm
likely sub-optimal solutions quickly, like beam search, then backtrack and continue to find improved solutions until convergence to an optimal solution
Beam_search
techniques may be used depending on the objective, which may include searching, sorting, mathematical optimization, constraint satisfaction, categorization, analysis
Algorithmic_technique
Algorithms for processing data too large to fit into a computer's main memory at once
asymptotically optimal. External sorting is sorting in an external memory setting. External sorting can be done via distribution sort, which is similar
External_memory_algorithm
Programming idiom for efficiently sorting a list by a computed key
used to improve the efficiency of sorting a list of items. This idiom is appropriate for comparison-based sorting when the ordering is actually based
Schwartzian_transform
Overview of and topical guide to algorithms
problems with overlapping subproblems and optimal substructure Greedy algorithm — algorithm that makes locally optimal choices Backtracking — search technique
Outline_of_algorithms
Algorithms which recursively solve subproblems
algorithms (e.g., sorting, FFTs, and matrix multiplication) to be optimal cache-oblivious algorithms–they use the cache in a probably optimal way, in an asymptotic
Divide-and-conquer_algorithm
Computer science problem
and T , {\displaystyle T,} where T {\displaystyle T} is the result of sorting S . {\displaystyle S.} However, for the special case in which the input
Longest increasing subsequence
Longest_increasing_subsequence
Method for analyzing online algorithms
badly compared to an optimal algorithm, whereas Move-To-Front can never be made to incur more than twice the cost of an optimal algorithm. In the case
Competitive analysis (online algorithm)
Competitive_analysis_(online_algorithm)
Method for finding kth smallest value
highly-optimized sorting routine is provided as part of a runtime library, but a selection algorithm is not. For inputs of moderate size, sorting can be faster
Selection_algorithm
Computer science concept
In computer science, an optimal binary search tree (Optimal BST), sometimes called a weight-balanced binary tree, is a binary search tree which provides
Optimal_binary_search_tree
Computer science data structure
the same optimum, except that increase-key is not supported. The heap data structure has many applications. Heapsort: One of the best sorting methods being
Heap_(data_structure)
Abstract data type in computer science
congruent to sorting algorithms. The section on the equivalence of priority queues and sorting algorithms, below, describes how efficient sorting algorithms
Priority_queue
Agreement algorithm
algorithm can be considered to consist of building the table, sorting it and searching it. Sorting can be done in O(n log n) time, and this dominates the building
Marzullo's_algorithm
Work-flow to fulfil an order
in a specified quantity before shipment to satisfy customers' orders. Sorting: process that separates items according to destination. Pre-consolidation
Order_processing
Hypothesis in neuroscience
inferences to guide action. Bayes' rule characterizes the probabilistically optimal inversion of such a causal model, but applying it is typically computationally
Free_energy_principle
Randomized algorithm
( 1 + log ( n / k ) ) ) {\displaystyle O(k(1+\log(n/k)))} , which is optimal. At the same time, it is simple to implement efficiently and does not depend
Reservoir_sampling
more efficient on small data. A common example is in sorting algorithms, where the insertion sort, which is inefficient on large data, but very efficient
Hybrid_algorithm
Polygonal region of all points visible from a given point in a plane
\Theta (n+h\log h)} algorithm is optimal. Such an algorithm was proposed in 1995 together with its proof of optimality. However, it relies on the linear
Visibility_polygon
Problem optimization method
solved optimally by breaking it into sub-problems and then recursively finding the optimal solutions to the sub-problems, then it is said to have optimal substructure
Dynamic_programming
OPTIMAL SORTING
OPTIMAL SORTING
Girl/Female
Indian
Optional
Boy/Male
Hindu, Indian
To do Something Systematically or Optimum Utilization of Resources
Boy/Male
Gujarati, Hindu, Indian, Kannada, Marathi, Punjabi, Sikh
Lord Shiva; God's Name; Primal Being
Girl/Female
Tamil
Girl/Female
Hindu, Indian
The Primal Mother
Boy/Male
Indian, Sanskrit
The Primal Residue
Boy/Male
Arabic, Muslim
First; New; Another Name for God; Novel; Primal
Boy/Male
Hindu
To do something systematically, Optimum utilization of resources
Girl/Female
Hindu
Girl/Female
Hindu, Indian
The Primal Energy
Boy/Male
Indian, Sanskrit
The Primal Head of Religious Sacrifice
Boy/Male
Indian, Sanskrit
One God; The Primal God
Boy/Male
Hindu, Indian, Marathi
The Primal God
Boy/Male
Indian, Sanskrit
The Primal Idol
Girl/Female
Hindu, Indian, Traditional
The Primal Lakshmi
Boy/Male
Tamil
To do something systematically, Optimum utilization of resources
Girl/Female
Hindu, Indian
Primal; A Wife of Agni
Boy/Male
Tamil
The primal God
Boy/Male
Hindu
The primal God
Boy/Male
Indian, Sanskrit
The Primal Root
OPTIMAL SORTING
OPTIMAL SORTING
Boy/Male
Indian, Punjabi, Sikh
Glory of Guru
Girl/Female
Hindu, Indian, Thai
Flying Bird
Girl/Female
Tamil
Youngest
Female
Scandinavian
Scandinavian form of Old Norse Gunnhildr, GUNHILD means "war-battle."
Girl/Female
Arthurian Legend
Arthur's burial place.
Girl/Female
Australian, French, German, Italian, Latin, Swedish
Loyalty; Faithful
Girl/Female
Hindu
Ardhanareeshwar, Goddess of justice, Name of a Goddess
Girl/Female
Indian, Kashmiri
A Gatha (in Marathi)
Girl/Female
Hindu, Indian, Marathi
First of the Eight Siddhis
Girl/Female
Biblical
Rashness, confidence.
OPTIMAL SORTING
OPTIMAL SORTING
OPTIMAL SORTING
OPTIMAL SORTING
OPTIMAL SORTING
n.
An optical toy similar to the phenakistoscope. See Phenakistoscope.
n.
The space covered by an optical instrument at one view.
n.
An optical glass that is convex on both sides.
n.
An instrument for showing the optical effects of color.
a.
Involving an option; depending on the exercise of an option; left to one's discretion or choice; not compulsory; as, optional studies; it is optional with you to go or stay.
a.
Of or pertaining to the nobility or aristocracy.
n.
A reflecting optical glass or instrument; a mirror.
adv.
In an optional manner.
a.
One who deals in optical glasses and instruments.
n.
See Elective, n.
a.
Relating to the science of optics; as, optical works.
a.
Alt. of Optical
a.
Of or pertaining to vision or sight.
a.
Of or pertaining to the eye; ocular; as, the optic nerves (the first pair of cranial nerves) which are distributed to the retina. See Illust. of Brain, and Eye.
n.
Collectively, the nobility.
n.
Government by the nobility.
n.
One of those who stand in the second rank of honors, immediately after the wranglers, in the University of Cambridge, England. They are divided into senior and junior optimes.
n.
An optical glass; a telescope.
n.
A nobleman or aristocrat; a chief man in a state or city.
n.
Of or pertaining to the science of vision; optical.