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Sequence merge algorithm in computer science
k-way merge algorithms or multiway merges are a specific type of sequence merge algorithms that specialize in taking in k sorted lists and merging them
K-way_merge_algorithm
Algorithm that combines multiple sorted lists into one
These algorithms are used as subroutines in various sorting algorithms, most famously merge sort. The merge algorithm plays a critical role in the merge sort
Merge_algorithm
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
Algorithm that arranges lists in order
is important for optimizing the efficiency of other algorithms (such as search and merge algorithms) that require input data to be in sorted lists. Sorting
Sorting_algorithm
increasing and then strictly decreasing or vice versa k-way merge algorithm Simple merge algorithm Union (merge, with elements on the output not repeated) Fisher–Yates
List_of_algorithms
Class of sorting algorithms that can handle massive amounts of data
merge sort algorithm, which uses a K-way merge algorithm. It sorts chunks that each fit in RAM, then merges the sorted chunks together. The algorithm
External_sorting
Important algorithms in numerical statistics
Algorithms for calculating variance play a major role in computational statistics. A key difficulty in the design of good algorithms for this problem is
Algorithms for calculating variance
Algorithms_for_calculating_variance
Sorting algorithm in Python
list-sorting algorithm in CPython and is also used in NumPy, PyPy, AssemblyScript, and Apple's WebKit. Powersort belongs to the family of merge sort algorithms. More
Powersort
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
Variant of radix sort
datasets.[user-generated source] It is a suitable algorithm in conjunction with a k-way merge algorithm.[citation needed] (The original paper was written
American_flag_sort
Computer science data structure
implemented with a heap or a variety of other methods. K-way merge: A heap data structure is useful to merge many already-sorted input streams into a single
Heap_(data_structure)
Estimate of time taken for running an algorithm
takes to run an algorithm. Time complexity is commonly estimated by counting the number of elementary operations performed by the algorithm, supposing that
Time_complexity
Sequence of operations for a task
itself, and does not require a merge step. An example of a prune and search algorithm is the binary search algorithm. Search and enumeration Many problems
Algorithm
Type of randomized algorithm
is empirically determined, it is sometimes possible to merge Monte Carlo and such an algorithm "to have both probability bound calculated in advance and
Monte_Carlo_algorithm
Algorithm for shuffling a finite sequence
The Fisher–Yates shuffle is an algorithm for shuffling a finite sequence. The algorithm takes a list of all the elements of the sequence, and continually
Fisher–Yates_shuffle
Algorithm to multiply two numbers
multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient
Multiplication_algorithm
Fast Fourier Transform algorithm
The Cooley–Tukey algorithm, named after J. W. Cooley and John Tukey, is the most common fast Fourier transform (FFT) algorithm. It re-expresses the discrete
Cooley–Tukey_FFT_algorithm
Divide and conquer sorting algorithm
faster than merge sort and heapsort for randomized data, particularly on larger distributions. Quicksort is a divide-and-conquer algorithm. It works by
Quicksort
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
Data structure for storing non-overlapping sets
disjoint-set data structure, also called a union–find data structure or merge–find set, is a data structure that stores a collection of disjoint (non-overlapping)
Disjoint-set_data_structure
Sorting algorithm
much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort. However, insertion sort provides several advantages:
Insertion_sort
Study of resources used by an algorithm
computer science, the analysis of algorithms is the process of finding the computational complexity of algorithms—the amount of time, storage, or other
Analysis_of_algorithms
Non-comparative lexicographical sorting algorithm
Radix sorting algorithms came into common use as a way to sort punched cards as early as 1923. The first memory-efficient computer algorithm for this sorting
Radix_sort
Stack-based method for clustering
the algorithm chooses that pair of clusters as the pair to merge. In order to save work by re-using as much as possible of each path, the algorithm uses
Nearest-neighbor chain algorithm
Nearest-neighbor_chain_algorithm
Sorting algorithm
with small numbers of elements, but other algorithms could be used as well, such as selection sort or merge sort. Using bucketSort itself as nextSort
Bucket_sort
Algorithm for labeling clusters on a grid
merge the two clusters and assign the cluster label of the cell above to the cell on the left and to this cell i.e. 2. (Merging using union algorithm
Hoshen–Kopelman_algorithm
Decodes a bitstream with the Viterbi algorithm
the Viterbi algorithm for decoding a bitstream that has been encoded using a convolutional code or trellis code. There are other algorithms for decoding
Viterbi_decoder
Password cracking dataset
invented by Philippe Oechslin as an application of an earlier, simpler algorithm by Martin Hellman. For user authentication, passwords are stored either
Rainbow_table
Problem optimization method
Dynamic programming (DP) is both a mathematical optimization method and an algorithmic paradigm. The method was developed by Richard Bellman in the 1950s and
Dynamic_programming
Simple sorting algorithm using comparisons
used primarily as an educational tool. More efficient algorithms such as quicksort, timsort, or merge sort are used by the sorting libraries built into popular
Bubble_sort
Randomized algorithm for minimum cuts
{\displaystyle v} are "reattached" to the merged node, effectively producing a multigraph. Karger's basic algorithm iteratively contracts randomly chosen
Karger's_algorithm
Computer science metric of string similarity
in terms of edit distance. Ukkonen's 1985 algorithm takes a string p, called the pattern, and a constant k; it then builds a deterministic finite state
Edit_distance
Function for sorting in C++ standard library
originated in the Standard Template Library (STL). The specific sorting algorithm is not mandated by the language standard and may vary across implementations
Sort_(C++)
Algorithm that employs a degree of randomness as part of its logic or procedure
A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic or procedure. The algorithm typically uses uniformly random
Randomized_algorithm
Directed graph with no directed cycles
These are not trees in general due to merges. In many randomized algorithms in computational geometry, the algorithm maintains a history DAG representing
Directed_acyclic_graph
Grouping a set of objects by similarity
the algorithm builds a hierarchy of clusters that merge at different distances. In a dendrogram, the y-axis shows the distance at which clusters merge, while
Cluster_analysis
Random search tree data structure
algorithm is as follows: function join(L, k, R) if prior(k, k(L)) and prior(k, k(R)) return Node(L, k, R) if prior(k(L), k(R)) return Node(left(L), k(L)
Treap
Density-based data clustering algorithm
clustering algorithm proposed by Martin Ester, Hans-Peter Kriegel, Jörg Sander, and Xiaowei Xu in 1996. It is a density-based clustering algorithm that does
DBSCAN
Type of sorting algorithm that works by comparing pairs of elements
algorithm that only reads the list elements through a single abstract comparison operation (often a "less than or equal to" operator or a three-way comparison)
Comparison_sort
Statistical method in data analysis
begins with each data point as an individual cluster. At each step, the algorithm merges the two most similar clusters based on a chosen distance metric (e
Hierarchical_clustering
Problem of sorting pairs of numbers by their sum
and use these pairs as input to a standard comparison sorting algorithm such as merge sort or heapsort. When the inputs have length n {\displaystyle
X_+_Y_sorting
Sorting algorithm
Funnelsort is a comparison-based sorting algorithm. It is similar to mergesort, but it is a cache-oblivious algorithm, designed for a setting where the number
Funnelsort
Sorting algorithm
repeatedly picking off the minimum visible card; in other words, perform a k-way merge of the p piles, each of which is internally sorted. Below is an iterative
Patience_sorting
variant sites. Recently, scientists have discovered a way to use the bubble calling algorithm with copy number variation detection to allow for an opportunity
DNA_read_errors
Abstract data type in computer science
(ROAM) algorithm computes a dynamically changing triangulation of a terrain. It works by splitting triangles where more detail is needed and merging them
Priority_queue
Agglomerative hierarchical clustering method
y. The following algorithm is an agglomerative scheme that erases rows and columns in a proximity matrix as old clusters are merged into new ones. The
Single-linkage_clustering
Data structure that acts as a priority queue
the algorithm, it will examine at most three trees of any order, two from the two heaps we merge and one composed of two smaller trees. function merge(p
Binomial_heap
Algorithmic optimization method
algorithms for combinatorial optimization, parametric search is a technique invented by Nimrod Megiddo in 1983 for transforming a decision algorithm (does
Parametric_search
Search algorithm finding the position of a target value within a sorted array
half-interval search, logarithmic search, or binary chop, is a search algorithm that finds the position of a target value within a sorted array. Binary
Binary_search
Algorithm for computing trigonometric, hyperbolic, logarithmic and exponential functions
short for coordinate rotation digital computer, is a simple and efficient algorithm to calculate trigonometric functions, hyperbolic functions, square roots
CORDIC
Linguistic research program proposed by Noam Chomsky
labelling, one for external Merge (clause a), and one for internal merge (clause b). Labeling algorithm (version 2): The output of Merge (α, β) is labeled by
Minimalist_program
Citizen science project
by AU Ideas Center for Community Driven Research (CODER). CODER aims to merge theoretical and experimental quantum research with online community efforts
Quantum_Moves
Operator used to vary the programming of chromosomes from one generation to the next
Crossover in evolutionary algorithms and evolutionary computation, also called recombination, is a genetic operator used to combine the genetic information
Crossover (evolutionary algorithm)
Crossover_(evolutionary_algorithm)
Parallel version of breadth-first search algorithm
The breadth-first-search algorithm is a way to explore the vertices of a graph layer by layer. It is a basic algorithm in graph theory which can be used
Parallel_breadth-first_search
Algorithm to transform a regular expression into a finite automaton
computer science, Thompson's construction algorithm, also called the McNaughton–Yamada–Thompson algorithm, is a method of transforming a regular expression
Thompson's_construction
Method of result aggregation from multiple clustering algorithms
clustering algorithm is one of the most popular consensus clustering algorithms and is used to determine the number of clusters, K {\displaystyle K} . Given
Consensus_clustering
Computer algorithm
The buddy memory allocation technique is a memory allocation algorithm that divides memory into partitions to try to satisfy a memory request as suitably
Buddy_memory_allocation
or nucleotide sequences. Published in 2002, the first version used an algorithm based on progressive alignment, in which the sequences were clustered
MAFFT
NP-hard problem in combinatorial optimization
problems. Thus, it is possible that the worst-case running time for any algorithm for the TSP increases superpolynomially (but no more than exponentially)
Travelling_salesman_problem
Data structure for priority queues
insert' k h = merge' (Root(k, [])) h let delete_min' (Root (x, h)) = let Root (y, h1) = find_min h in let h2 = delete_min h in Root (y, merge h1 h2) The
Skew_binomial_heap
Data structure
purpose of the delete algorithm is to remove the desired entry node from the tree structure. We recursively call the delete algorithm on the appropriate
B+_tree
Data structure for priority queues
strings using the full Unicode collation algorithm. A weak heap is most easily understood as a heap-ordered multi-way tree stored as a binary tree using the
Weak_heap
Algorithm for the minimization of Boolean functions
also gives a deterministic way to check that the minimal form of a Boolean F has been reached. The Quine-McCluskey algorithm works as follows: Finding
Quine–McCluskey_algorithm
Decision problem in computer science
sorting algorithm, Mergesort for this step would take time O ( 2 n / 2 n ) {\displaystyle O(2^{n/2}n)} . However, given a sorted list of sums for k {\displaystyle
Subset_sum_problem
Statistical Markov model
straightforward Viterbi algorithm has complexity O ( N 2 K T ) {\displaystyle O(N^{2K}\,T)} . To find an exact solution, a junction tree algorithm could be used
Hidden_Markov_model
Algorithm for finding the convex hull of a set of points in the plane
(mini) convex hulls, ( C k ) k = 1 , 2 , . . . K {\displaystyle (C_{k})_{k=1,2,...K}} . At each step in this Jarvis's march algorithm, we have a point p i
Chan's_algorithm
Technique to compress data
constant. The package-merge algorithm solves this problem with a simple greedy approach very similar to that used by Huffman's algorithm. Its time complexity
Huffman_coding
Blob detection technique
and the list of growing and merging connected components and their areas is maintained using the union-find algorithm. This would take O ( n log (
Maximally stable extremal regions
Maximally_stable_extremal_regions
Algorithm package
errors and resolves repeats by first using an error correction algorithm that merges sequences together. Repeats are then removed from the sequence via
Velvet_assembler
Method for recursively subdividing a space into two subsets using hyperplanes
Unreal Editor. 1990 Naylor, Amanatides, and Thibault provided an algorithm for merging two BSP trees to form a new BSP tree from the two original trees
Binary_space_partitioning
cluster points for k-means algorithm randomly. DO UNTIL. termination conditions are satisfied Run a few iterations of the k-means algorithm. Split a cluster
Multispectral pattern recognition
Multispectral_pattern_recognition
Mathematical construct in computer algebra
in his 1965 Ph.D. thesis, which also included an algorithm to compute them (Buchberger's algorithm). He named them after his advisor Wolfgang Gröbner
Gröbner_basis
Distributed algorithm in graph theory
C ′ ) {\displaystyle e_{merge}(C,C')} also called merge link, that is the edge whose traversal has minimum cost. The algorithm proceeds in consecutive
Mega-Merger
Shell command for comparing file content
developed an initial prototype of diff. The algorithm this paper described became known as the Hunt–Szymanski algorithm. McIlroy's work was preceded and influenced
Diff
Partitioning a digital image into segments
an image into K clusters. The basic algorithm is Pick K cluster centers, either randomly or based on some heuristic method, for example K-means++ Assign
Image_segmentation
Process of producing small rectangular items of fixed dimensions
is done once, and the merging step is done m-1 times. Therefore, the run-time of the entire algorithm is O(m2). When the algorithm returns "yes", it also
Guillotine_cutting
Assignment of colors to edges of a graph
their algorithm. A graph is uniquely k-edge-colorable if there is only one way of partitioning the edges into k color classes, ignoring the k! possible
Edge_coloring
On short connecting nets with added points
ISBN 1-58488-436-3. Wu, Y. F.; Widmayer, P.; Wong, C. K. (May 1986). "A faster approximation algorithm for the Steiner problem in graphs". Acta Informatica
Steiner_tree_problem
cluster centers. This is the streaming version of the k-median problem. STREAM is an algorithm for clustering data streams described by Guha, Mishra,
Data_stream_clustering
Subgraph
dominating set. One way to construct a fixed-parameter tractable algorithm for the nonblocker problem is to use kernelization, an algorithmic design principle
Nonblocker
Data structure
space-optimized trie (prefix tree) in which each node that is the only child is merged with its parent. The number of children of every internal node is at most
Radix_tree
be necessary to reorganize the K-D-B-tree to meet some minimum storage utilization criteria. The reorganization algorithm to be used when a page contains
K-D-B-tree
Amount of resources to perform an algorithm
computer science, the computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus is given
Computational_complexity
Self-balancing binary search tree
Adelson-Velsky and Evgenii Landis, who published it in their 1962 paper "An algorithm for the organization of information". It is the first self-balancing binary
AVL_tree
Optimization technique
the Boykov-Kolmogorov algorithm. Although the general k {\displaystyle k} -colour problem is NP hard for k > 2 , {\displaystyle k>2,} the GPS approach
Graph cuts in computer vision and artificial intelligence
Graph_cuts_in_computer_vision_and_artificial_intelligence
Project by NIST to standardize post-quantum cryptography
the possibility of quantum technology to render the commonly used RSA algorithm insecure by 2030. As a result, a need to standardize quantum-secure cryptographic
NIST Post-Quantum Cryptography Standardization
NIST_Post-Quantum_Cryptography_Standardization
Population models of evolutionary algorithms
The population model of an evolutionary algorithm (EA) describes the structural properties of its population to which its members are subject. A population
Population model (evolutionary algorithm)
Population_model_(evolutionary_algorithm)
Clustering and community detection algorithm
iteration of the algorithm. Ultimately, the only thing the Louvain algorithm guarantees is that the resulting communities cannot be merged further; in other
Louvain_method
Method of executing orders
Algorithmic trading is a method of executing orders using automated pre-programmed trading instructions accounting for variables such as time, price,
Algorithmic_trading
Data structure for approximate set membership
other elements that happen to map onto that bit. Since the simple algorithm provides no way to determine whether any other elements have been added that affect
Bloom_filter
to an algorithm is added to the runtime of the searching algorithm, and not multiplied, it only competes for the slowest portion of the algorithm. Since
Input enhancement (computer science)
Input_enhancement_(computer_science)
Representation of a graph's triconnected components
data structure used in computer science, and more specifically graph algorithms, to represent the triconnected components of a graph. The SPQR tree of
SPQR_tree
Self-balancing binary search tree data structure
Node(TL,⟨k,red⟩,TR) return Node(TL,⟨k,black⟩,TR) The split algorithm is as follows: function split(T, k): if (T = NULL) return (NULL, false, NULL) if (k = T
Red–black_tree
Algorithm for statistical inference on graphical models
propagation, also known as sum–product message passing, is a message-passing algorithm for performing inference on graphical models, such as Bayesian networks
Belief_propagation
Algorithmic problem on pairs of sequences
Because it is polynomial and has an efficient algorithm to solve it, it is employed to compare data and merge changes to files in programs such as the diff
Longest_common_subsequence
Finite-state machine
notable DFA identification algorithms include the RPNI algorithm, the Blue-Fringe evidence-driven state-merging algorithm, and Windowed-EDSM. Another
Deterministic finite automaton
Deterministic_finite_automaton
Distributed version control software system
implements several merging strategies; a non-default strategy can be selected at merge time: resolve: the traditional three-way merge algorithm. recursive: This
Git
Mathematical function, inverse of an exponential function
Similarly, the merge sort algorithm sorts an unsorted list by dividing the list into halves and sorting these first before merging the results. Merge sort algorithms
Logarithm
Tree-based computer data structure
(There are strategies to implement node merging.) United States Patent 5283894, granted in 1994, appears to show a way to use a 'Meta Access Method' to allow
B-tree
Variant of heap data structure
The algorithm requires O(log n * log n) comparisons. The view also presents a new and conceptually simple algorithm for merging heaps. When merging is
Binary_heap
K WAY-MERGE-ALGORITHM
K WAY-MERGE-ALGORITHM
Male
Icelandic
Icelandic form of German Ludwig, LÚÃVÃK means "famous warrior."
Female
English
English name derived from the vocabulary word, GAY means "happy." Compare with masculine Gay.
Surname or Lastname
English
English : variant spelling of Way.
Female
English
Short form of English Margaret, MARGE means "pearl."
Surname or Lastname
English (Kent and London)
English (Kent and London) : from Old French verge ‘half-acre’, hence a status name for the owner of that amount of land.Catalan (Vergé) : variant of Verger, topographic name from Catalan verger ‘orchard’ (Latin viridiarium)Catalan : possibly also a nickname from verge ‘maiden’ (Latin virgo ‘maiden’).
Boy/Male
Tamil
To merge
Male
Hungarian
Hungarian form of Greek Isaák, IZSÃK means "he will laugh."Â
Girl/Female
American, British, Chinese, Dutch, English, Finnish, French, German, Greek, Hebrew, Latin, Scandinavian
Rejoiced; Short Form of Katherine and Other Names Beginning with K; Happy; Pure; Clear; Form of Katherine; Virginal; Keeper of the Keys; Elder Sister
Male
French
French form of Latin Sergius, possibly SERGE means "sergeant."Â
Male
English
English unisex name, derived from the Old French word merle, MERLE means "blackbird." It first came to public notice in the 1930s with the actress Merle Oberon, and is mostly given to girls.
Boy/Male
Hindu
To merge
Male
Polish
Polish form of Russian Svyatopolk, ÅšWIĘTOPEÅK means "blessed people."
Male
Greek
(Ἰσαάκ) Greek form of Hebrew Yitzchak, ISAÃK means "he will laugh."Â
Female
English
 English name derived from the vocabulary word, DAY means "day." Feminine form of Middle English Daye, meaning "day."
Boy/Male
Shakespearean
Henry VI, Part 2' Lord Say.
Surname or Lastname
English (chiefly southern)
English (chiefly southern) : topographic name for someone who lived near a road or path, Old English weg (cognate with Old Norse vegr, Old High German weg), or a habitational name from some minor place named with this word, as for example any of the places called Way or Waye, in Devon.
Male
Hungarian
Hungarian form of Old High German Berhtram, BERTÓK means "bright raven."
Boy/Male
British, English
Variant of Wayland; From the Land by the Path
Male
Czechoslovakian
, famous war.
Girl/Female
Australian, Christian
Sunshine; Bright; Day
K WAY-MERGE-ALGORITHM
K WAY-MERGE-ALGORITHM
Boy/Male
American, British, English, Greek, Hindu, Indian, Tamil
Greek God of Trees; Variant of Sylvanus
Boy/Male
Tamil
Saraswath | ஸாராஸà¯à®µà®¾à®¤
Learned
Boy/Male
Hebrew
God is my wrath.
Boy/Male
Hindu, Indian
Intelligent Person
Boy/Male
Arabic
Planet; North
Boy/Male
Gujarati, Hindu, Indian
Friend; Beloved
Boy/Male
Muslim
Appearance, Manifestation, Flowers
Girl/Female
Tamil
Shine of glory
Female
Italian
Italian and Spanish diminutive form of Latin Roberta, ROBERTINA means "bright fame."
Female
English
Variant spelling of English Kezia, KETZIA means "cassia," a bark similar to cinnamon.Â
K WAY-MERGE-ALGORITHM
K WAY-MERGE-ALGORITHM
K WAY-MERGE-ALGORITHM
K WAY-MERGE-ALGORITHM
K WAY-MERGE-ALGORITHM
n.
Right of way. See below.
n.
A rod or staff, carried as an emblem of authority; as, the verge, carried before a dean.
n.
Way; road; path.
v. t.
To go or travel to; to go in, as a way or path.
adv.
Away.
n.
Progress; as, a ship has way.
n.
One who, or that which, merges.
n.
Manner; method; mode; fashion; style; as, the way of expressing one's ideas.
imp. & p. p.
of Merge
n.
The merrymaking of May Day.
n.
Determined course; resolved mode of action or conduct; as, to have one's way.
n.
A delicate kind of serge, or woolen cloth.
n.
Length of space; distance; interval; as, a great way; a long way.
Superl.
Only this, and nothing else; such, and no more; simple; bare; as, a mere boy; a mere form.
a.
Skillful in finding the way; well acquainted with the way or route; wise from having traveled.
p. pr. & vb. n.
of Merge
n.
That by, upon, or along, which one passes or processes; opportunity or room to pass; place of passing; passage; road, street, track, or path of any kind; as, they built a way to the mine.
v. i.
To rise out of a fluid; to come forth from that in which anything has been plunged, enveloped, or concealed; to issue and appear; as, to emerge from the water or the ocean; the sun emerges from behind the moon in an eclipse; to emerge from poverty or obscurity.
v. i.
To deviate from the right way; to go away or astray; to turn side; to swerve.
n.
Border; margin; edge; verge.