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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
Abstract devices built up of a fixed number of "wires"
Such networks are typically designed to perform sorting on fixed numbers of values, in which case they are called sorting networks. Sorting networks differ
Sorting_network
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
Algorithm that arranges lists in order
sorted lists. Sorting is also often useful for canonicalizing data and for producing human-readable output. Formally, the output of any sorting algorithm
Sorting_algorithm
Construction of sorting networks
and sort elements (i+j) and (i+j+k) Non-recursive calculation of the partner node index is also possible. Bitonic sorter Pairwise sorting network Batcher
Batcher_odd–even_mergesort
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
Process of comparing two entities to determine preference
Pairwise comparison generally is any process of comparing entities in pairs to judge which of each entity is preferred, or has a greater amount of some
Pairwise comparison (psychology)
Pairwise_comparison_(psychology)
Use of machine learning to rank items
of three approaches: pointwise (where individual documents are ranked), pairwise (where pairs of documents are ranked into a relative order), and listwise
Learning_to_rank
concept in this case is Pairwise Stability, which accounts for the mutual approval of both players. A network is considered pairwise stable if: (i) for all
Strategic_network_formation
Concept in computing
employ some of these ideas: The core of the protocol involves periodic, pairwise, inter-process interactions. The information exchanged during these interactions
Gossip_protocol
Mathematical modelling alogorithm
selection with consideration of pairwise successive features. Such procedure is currently used in deep learning networks. To compare and choose optimal
Group_method_of_data_handling
Python library for graphs and networks
NetworkX is a Python library for studying graphs and networks. NetworkX is free software released under the BSD-new license. NetworkX began development
NetworkX
Concept in natural language processing
Other measures calculate the similarity between ontological instances: Pairwise: measure functional similarity between two instances by combining the semantic
Semantic_similarity
Process of replacing missing data with substituted values
missing data include: hot deck and cold deck imputation; listwise and pairwise deletion; mean imputation; non-negative matrix factorization; regression
Imputation_(statistics)
theorem Pairwise compatibility graph Petersen graph Planar graph Dual polyhedron Outerplanar graph Random graph Regular graph Scale-free network Snark (graph
List_of_graph_theory_topics
Algorithm that employs a degree of randomness as part of its logic or procedure
independence in the random variables used by the algorithm, such as the pairwise independence used in universal hashing the use of expander graphs (or dispersers
Randomized_algorithm
Matrices used in construction of phylogenetic trees
methods and were originally applied to phenetic data using a matrix of pairwise distances. These distances are then reconciled to produce a tree (a phylogram
Distance matrices in phylogeny
Distance_matrices_in_phylogeny
lists. Sorting is also often useful for canonicalizing data and for producing human-readable output. More formally, the output of any sorting algorithm
Glossary_of_computer_science
Operations research that evaluates multiple conflicting criteria in decision making
good alternatives. One may also be interested in "sorting" or "classifying" alternatives. Sorting refers to placing alternatives in a set of preference-ordered
Multiple-criteria decision analysis
Multiple-criteria_decision_analysis
Matrix in which most of the elements are zero
of the matrix. Conceptually, sparsity corresponds to systems with few pairwise interactions. For example, consider a line of balls connected by springs
Sparse_matrix
Path-finding using high-weight graph edges
edge with position i in the sorted order. This method allows the widest path problem to be solved as quickly as sorting; for instance, if the edge weights
Widest_path_problem
Multi-dimensional generalization of triangle
{\displaystyle \Delta } can be easily calculated from sorting the coordinates of p {\displaystyle p} . The sorting approach takes O ( n log n ) {\displaystyle
Simplex
Application of computational algorithms, methods and programs to phylogenetic analyses
are insertion mutations or deletion mutations. For example, given only a pairwise alignment with a gap region, it is impossible to determine whether one
Computational_phylogenetics
Logic problem, AND of pairwise ORs
for solving constraint satisfaction problems with binary variables and pairwise constraints. They apply this technique to a problem of classroom scheduling
2-satisfiability
Analysis of sets of categorical sequences
trees (PST) Sequence networks (see social network analysis, Social network analysis software) Narrative networks (Software?) Pairwise dissimilarities between
Sequence analysis in social sciences
Sequence_analysis_in_social_sciences
Machine learning framework for portfolio construction
{\displaystyle \rho _{i,j}=\mathrm {corr} (X_{i},X_{j})} . From this, a pairwise distance matrix D = d i , j {\displaystyle D={d_{i,j}}} is defined using
Hierarchical_Risk_Parity
Copy of a directed graph with redundant edges removed
loop can be obtained by using two passes of counting sort or another stable sorting algorithm to sort the edges, first by the topological numbering of their
Transitive_reduction
Graphic visual representation of information
among multiple variables. It uses multiple scatter plots to represent a pairwise relation among variables. Another statistical distribution approach to
Infographic
List of concepts in artificial intelligence
NTM with a long short-term memory (LSTM) network controller can infer simple algorithms such as copying, sorting, and associative recall from examples alone
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
Study of language comparison using quantitative methods
database and seems to give similar results. These use a triangular matrix of pairwise language comparisons. The input character matrix is used to compute the
Quantitative comparative linguistics
Quantitative_comparative_linguistics
Field of biological research
another noteworthy pairwise alignment program specifically designed for aligning multiple genomes. Pairwise Comparison: The Pairwise comparison of genomic
Comparative_genomics
Marks, Debora S.; Sander, Chris; Chen, Shi-Jie (30 July 2015). "Inferring Pairwise Interactions from Biological Data Using Maximum-Entropy Probability Models"
Direct_coupling_analysis
Probability distribution
Toby (2011). Evaluation of the suitability of a Zipfian gap model for pairwise sequence alignment (PDF). International Conference on Bioinformatics Computational
Zipf's_law
Cycles in a graph that generate all cycles
the problem of finding a spanning tree that minimizes the average of the pairwise distances; both are NP-hard. Finding a minimum weight weakly fundamental
Cycle_basis
Hungarian and American mathematician and physicist (1903–1957)
follows: Any complemented modular lattice L having a "basis" of n ≥ 4 pairwise perspective elements, is isomorphic with the lattice ℛ(R) of all principal
John_von_Neumann
Method of data analysis
Spike sorting is an important procedure because extracellular recording techniques often pick up signals from more than one neuron. In spike sorting, one
Principal_component_analysis
provided (e.g., by asking people to rank teams), or can be derived by sorting each team's ratings and assigning an ordinal rank to each team, so that
Sports_rating_system
Prime number of the form 2^n – 1
prime-exponent Mersenne number. That is, the set of pernicious Mersenne numbers is pairwise coprime. If p and 2p + 1 are both prime (meaning that p is a Sophie Germain
Mersenne_prime
Numbers obtained by adding the two previous ones
F_{1}=1} .) In particular, any three consecutive Fibonacci numbers are pairwise coprime because both F 1 = 1 {\displaystyle F_{1}=1} and F 2 = 1 {\displaystyle
Fibonacci_sequence
Projection of data onto lower-dimensional manifolds
at a lower-dimensional linear subspace, thereby attempting to preserve pairwise differences under both the forward and inverse mapping. Manifold alignment
Nonlinear dimensionality reduction
Nonlinear_dimensionality_reduction
of two separate phases. Initially, a distance matrix containing all the pairwise distances between the genes is calculated. Pearson's correlation and Spearman's
Microarray analysis techniques
Microarray_analysis_techniques
health care Researcher Matthew Wong uses chi-square analysis and posthoc pairwise tests with a Bonferroni correction to find out that occupational hazards
Healthcare_in_Canada
patterns of presence/absence across species, or unexpectedly short or distant pairwise evolutionary distances. The aim of explicit phylogenetic methods is to
Inferring horizontal gene transfer
Inferring_horizontal_gene_transfer
representing them in Euclidean space, BiG-SLiCE can group BGCs into GCFs in a non-pairwise, near-linear fashion. Satria et. al, 2021 across BiG-SLiCE demonstrate
Computational_genomics
Partitioning a digital image into segments
segmentation in a CRF (Conditional random fields) framework with pixel-pairwise affinity and superpixel-level features". International Journal of Computer
Image_segmentation
genomes. Single genomes can be scanned for redundant genes using exhaustive pairwise comparisons. Before performing more laborious analyses of redundant genes
Gene_redundancy
Edges that hit all cycles in a graph
disagrees with as few pairwise outcomes as possible. Alternatively, if these comparisons result in independent probabilities for each pairwise ordering, then
Feedback_arc_set
Application of game theory to evolving populations in biology
resource is shareable, which gives payoffs to both doves meeting in a pairwise contest. Where the resource is not shareable, but an alternative resource
Evolutionary_game_theory
Statistical measure used in survey research
selection probabilities may be different, the sample size is random, and the pairwise selection probabilities are independent, we call this Poisson sampling
Design_effect
Rational mathematical function indexed by integer partitions
| {\displaystyle |\sigma |} is the smallest number of transpositions (pairwise exchange) that σ {\displaystyle \sigma } is composed of. This formula can
Weingarten_function
antichain In a directed acyclic graph, a subset S of vertices that are pairwise incomparable, i.e., for any x ≤ y {\displaystyle x\leq y} in S, there is
Glossary_of_graph_theory
Sourcing services or funds from a group
or additional crowdworkers, then have to sort through the low-quality contributions. The task of sorting through crowdworkers' contributions, along
Crowdsourcing
Optimality criterion in phylogeny
distance methods were originally applied to phenetic data using a matrix of pairwise distances and reconciled to produce a tree. The distance matrix can come
Maximum_parsimony
Branch of discrete mathematics
n-element set, what is the largest number of k-element subsets that can pairwise intersect one another? What is the largest number of subsets of which none
Combinatorics
Hypercomplex number system
octonions can be defined as pairs of quaternions. Addition is defined pairwise. The product of two pairs of quaternions (a, b) and (c, d) is defined by
Octonion
Physical interactions and constructions between multiple proteins
techniques that measure physical interactions among groups of proteins, without pairwise determination of protein partners, named "co-complex" methods. Homo-oligomers
Protein–protein_interaction
Swiss psychologist (1896–1980)
of objects of alternating color. They also have an understanding of the pairwise exchanges of cards having pictures of different flowers. Piaget and colleagues
Jean_Piaget
Family of stochastic optimization methods
ISBN (link) Hsu, Shih-Huan; Yu, Tian-Li (2015-07-11). Optimization by Pairwise Linkage Detection, Incremental Linkage Set, and Restricted / Back Mixing:
Estimation of distribution algorithm
Estimation_of_distribution_algorithm
Tax on corporations
Netherlands. In the United Kingdom, this is accomplished directly on a pairwise basis called group relief. Losses of one group member company may be "surrendered"
Corporate_tax
PMID 16357030. Dowell RD, Eddy SR (September 2006). "Efficient pairwise RNA structure prediction and alignment using sequence alignment constraints"
List of RNA structure prediction software
List_of_RNA_structure_prediction_software
Technique in evolutionary study
EMPRess can group similar reconciliations through clustering, with all pairwise distance between reconciliations computable in polynomial time (independently
Phylogenetic_reconciliation
Identification and study of genomic sequences
alignment - ClustalW, PROBCONS, MUSCLE, MAFFT, and T-Coffee. A common use for pairwise sequence alignment is to take a sequence of interest and compare it to
Sequence_analysis
solution. Starting with the initial solution, the improvement is conducted by pairwise exchange. For each item in the solution set, identify the items not in
Quadratic_knapsack_problem
Tree connecting given points by short paths
different from computing the diameter of the given points, the maximum pairwise distance. For some sets of points, the diameter of the points and the diameter
Minimum-diameter spanning tree
Minimum-diameter_spanning_tree
Variant of the SVM algorithm
algorithm is a learning retrieval function that employs pairwise ranking methods to adaptively sort results based on how 'relevant' they are for a specific
Ranking_SVM
History of maths
R is given by the isotopy classes of systems of (|n| + |m|)/2 simple pairwise disjoint arcs inside a horizontal strip on the plane that connect in pairs
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
Mathematical models representing biological cells
depicts cells as spheres and models their mechanical interactions using pairwise potentials. It is easily extended to a large number of cells in both 2D
Cell-based_models
South Slavic ethnic group
Peninsula with Serbians placed in-between (Fig 2A and 2B). The mean population pairwise genetic distances for South Slavs (DNei = 0.239 for NRY; FST = 0.0009 for
Macedonians_(ethnic_group)
Study of the cultural aspects of music
while others are less so, such as precision of enunciation. Feld made pairwise comparisons about competence, form, performance, environment, theory, and
Ethnomusicology
potential energy increases when two objects are brought further apart. For two pairwise interacting point particles, the gravitational potential energy U {\displaystyle
Glossary_of_engineering:_A–L
Evolution of novel genes from non-genic DNA sequence
proteins (further increased by the DnaK chaperone system). High-throughput sorting of thousands of putative human de novo sORF-encoded proteins by structural
De_novo_gene_birth
Transmembrane protein in human
2022-12-16. "EVA1C orthologs". NCBI. Retrieved 2022-12-16. "EMBOSS Needle < Pairwise Sequence Alignment < EMBL-EBI". www.ebi.ac.uk. Retrieved 2022-12-16. "TimeTree ::
EVA1C
Protein-coding gene in the species Homo sapiens
Biotechnology Information. "Standard Protein BLAST". Temple University Center of Biodiversity. "Pairwise Divergence Time". Timetree: The Timescale of Life.
TMED5
effect Overlearning Pain and pleasure Pain disorder Pair by association Pairwise comparison Palilalia Panic attack Panic disorder Papert's principle Paradoxical
Index_of_psychology_articles
Titanium based nanomaterial
"Macromolecule-like Aspects for a Colloidal Suspension of an Exfoliated Titanate. Pairwise Association of Nanosheets and Dynamic Reassembling Process Initiated from
Titanate_nanosheet
Epidemiology method
unique sequence variants to clusters of similar sequences. For example, pairwise distance clustering is a nonparametric approach in which clusters are assembled
Source_attribution
Gene in Humans
2023-12-15. "ZFP62 orthologs". NCBI. Retrieved 2023-12-18. "EMBOSS Needle < Pairwise Sequence Alignment < EMBL-EBI". www.ebi.ac.uk. Retrieved 2023-12-18. Xenos
ZFP62
PAIRWISE SORTING-NETWORK
PAIRWISE SORTING-NETWORK
Male
Romanian
Romanian name derived from the word soare, SORIN means "sun."
Female
English
English name derived from the season name, "spring," (Mar. 21 thru Jun. 21), derived from the verb spring, "to burst forth," from Proto-Indo-European *sprengh-, SPRING means "rapid movement."Â
Girl/Female
Indian
Lively, Entertainer, From a stream or a Spring, The Spring season, The Spring season
Boy/Male
German
Renowned Warrior's Son
Surname or Lastname
English (mainly Lancashire and Cheshire)
English (mainly Lancashire and Cheshire) : unexplained.Probably an altered form of German Dornig, which is probably a nickname for someone with a sharp tongue, from an adjectival derivative of Middle High German, Middle Low German dorn ‘thorn’. The suffixes -ig and -ing were often interchanged in Pennsylvania German and elsewhere. The name may also refer to a sloe bush.
Girl/Female
Muslim/Islamic
Fountain of paridise
Girl/Female
Muslim
Clean, Neat, Free from dirt
Girl/Female
Muslim/Islamic
Clean neat, free from dirt
Surname or Lastname
English
English : patronymic from Bott.
Surname or Lastname
English
English : habitational name from either of two places called Worthing, in Sussex and Norfolk. The Norfolk place name is probably from Old English worðign ‘the enclosure’, while the Sussex one is derived from an unattested Old English personal name, Weorð, (from Old English weorð ‘worthy’) + -ingas ‘people of’.
Surname or Lastname
English
English : variant of Sartain.French : topographic name from a diminutive of sart, a reduced form of Old French essart ‘newly cleared and cultivated land’.Italian (Venetian) : variant of Sartini.
Surname or Lastname
English
English : habitational name from (East, South, and, formerly, West) Harting in West Sussex, named with an unattested Old English byname Heort ‘hart’ + -ingas, a suffix denoting ‘family, dependants, or followers’.North German (also Härting) : patronymic from Hart or Hardt 2.German : habitational name from any of several places so named in Bavaria or from Hartingen, near Diepholz, Lower Saxony.
Surname or Lastname
English
English : habitational name from places in Oxfordshire and West Sussex named Goring, from Old English GÄringas ‘people of GÄra’, a short form of the various compound names with the first element gÄr ‘spear’.German (Göring) : see Goering.
Boy/Male
Norse
Son of Runolf Ulfsson.
Surname or Lastname
English
English : of uncertain origin. Early examples, as for example William Spring (Yorkshire 1280), all point to a personal name or nickname, perhaps going back to an Old English byname derived from the verb springan ‘to jump or leap’ (see Springer 1). Alternatively, it could be a topographic name from Middle English spring ‘young wood’, ‘spring’. Compare Springer. Reaney derives the surname from the word denoting the season, although the word is not attested in this sense until the 16th century, the usual Middle English word being lenten. Compare Lenz. The surname has also been established in Ireland (County Kerry) for several centuries.German : from Middle High German sprinc, Middle Low German sprink ‘spring’, ‘well’, hence a topographic name for someone who lived by a spring or well, or habitational name from Springe near Hannover.Jewish (Ashkenazic) : variant of Springer.John Spring emigrated from England and settled in Watertown, MA, in 1634.
Girl/Female
Arabic, Muslim
Clean; Neat; Free from Dirt
Surname or Lastname
English (Somerset)
English (Somerset) : unexplained.
Female
Romanian
Feminine form of Romanian Sorin, SORINA means "sun."
Boy/Male
Latin
Strong; fortunate.
Girl/Female
American, Australian, Bengali, British, Christian, English, Indian
Springtime; Spring Season; Rapid Movement
PAIRWISE SORTING-NETWORK
PAIRWISE SORTING-NETWORK
Boy/Male
Hindi
Eternal.
Girl/Female
Indian, Kashmiri
Never Give Up
Female
Hawaiian
 Hawaiian name MALINA means "calming; soothing." Compare with other forms of Malina.
Girl/Female
American, Australian, Christian, French, Hebrew
Graceful Woman Warrior; Combination of Lou and Ann; Warrior; Favour
Boy/Male
American, British, English
From the Elder Tree
Girl/Female
Australian, German, Hebrew
Bitter
Male
Russian
(ДеÑÑ) Pet form of Russian Modest, DESYA means "moderate, sober."
Biblical
black; trouble (the river Nile)
Boy/Male
Arabic, Muslim, Pashtun
Fast; Courageous; Brave
Boy/Male
Hindu, Indian
Woman
PAIRWISE SORTING-NETWORK
PAIRWISE SORTING-NETWORK
PAIRWISE SORTING-NETWORK
PAIRWISE SORTING-NETWORK
PAIRWISE SORTING-NETWORK
a.
Of or pertaining to shooting; for shooting; darting.
a.
Pertaining to the first part or early part of the day; being in the early part of the day; as, morning dew; morning light; morning service.
n.
The morning of yesterday.
p. pr. & vb. n.
of Sort
v. t.
To separate, as if by sifting or bolting; -- with out.
adv.
In the manner of a pale or pales; by perpendicular lines or divisions; as, to divide an escutcheon palewise.
n.
The act of placing in a pot; as, the potting of plants; the potting of meats for preservation.
n.
A coat or covering; a layer of any substance, as a cover or protection; as, the coating of a retort or vial.
v.
Given when departing; as, a parting shot; a parting salute.
n.
Alt. of Parvise
n.
An animal, as a sheep, dead of disease or privation; a mortling.
n.
The act of putting a foot to anything; also, that which is added as a foot; as, the footing of a stocking.
n.
Mortling.
n.
A forming into tables; a setting down in order.
n.
The act of parting or dividing; the state of being parted; division; separation.
n.
Wool plucked from a dead sheep; morling.
n.
a court of entrance to, or an inclosed space before, a church; hence, a church porch; -- sometimes formerly used as place of meeting, as for lawyers.
v.
Serving to part; dividing; separating.
n.
A darting away; a starting off or aside.
n.
A sifting, as of flour or meal.