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Combinatorial optimization problem
The assignment problem is a fundamental combinatorial optimization problem. In its most general form, the problem is as follows: The problem instance has
Assignment_problem
Generalization of linear assignment problem from two to multiple dimensions
The multidimensional assignment problem (MAP) is a fundamental combinatorial optimization problem which was introduced by William Pierskalla. This problem
Multidimensional assignment problem
Multidimensional_assignment_problem
Processing mode
these aggregates, applying a divide and conquer algorithm to the multidimensional problem to compute them efficiently. For example, the overall sum of a
Online_analytical_processing
Job scheduling method in computing
curve scheduling method turns a multidimensional task allocation problem into a one-dimensional space filling problem using Hilbert curves, assigning
Hilbert_curve_scheduling
Optimization problem in computer science
neighbor search (NNS), as a form of proximity search, is the optimization problem of finding the point in a given set that is closest (or most similar) to
Nearest_neighbor_search
get the multiple-constrained knapsack problem, multidimensional knapsack problem, or m-dimensional knapsack problem. (Note, "dimension" here does not refer
List_of_knapsack_problems
Dataflow programming language
Wadge, W. W. (1995-02-23). Multidimensional Programming. Oxford University Press. ISBN 978-0-19-536045-5. "Multidimensional Problem Solving in Lucid". www
Lucid_(programming_language)
Optimization algorithm
Generalized assignment problem (GAP) Frequency assignment problem (FAP) Redundancy allocation problem (RAP) Set cover problem (SCP) Partition problem (SPP)
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
Programming languages binary operator
An alternative solution to this problem in other languages is parallel assignment, which allows multiple assignments to occur within a single statement
Comma_operator
Field of structural biology
macromolecular structure determination from multidimensional nuclear overhauser enhancement spectra and chemical shift assignments". Journal of the American Chemical
Nuclear magnetic resonance spectroscopy of proteins
Nuclear_magnetic_resonance_spectroscopy_of_proteins
Fundamental theorem in probability theory and statistics
these random vectors are independent and identically distributed. The multidimensional central limit theorem states that when scaled, sums converge to a multivariate
Central_limit_theorem
Probabilistic problem-solving algorithm
evaluation of multidimensional definite integrals with complicated boundary conditions. In application to systems engineering problems (space, oil exploration
Monte_Carlo_method
Statistical matching technique
studies, the assignment of treatments to research subjects is typically not random. Matching attempts to reduce the treatment assignment bias, and mimic
Propensity_score_matching
Branch of artificial intelligence
classical control and classification problems, the solutions are complex and must be discovered and optimized in multidimensional space. Planning is also related
Automated planning and scheduling
Automated_planning_and_scheduling
Algebraic object with geometric applications
formal definition: Definition. A tensor of type (p, q) is an assignment of a multidimensional array T j 1 … j q i 1 … i p [ f ] {\displaystyle T_{j_{1}\dots
Tensor
Vector quantization algorithm minimizing the sum of squared deviations
dimensions (d) increases. This can be inefficient when used with massive, multidimensional data sets like social networks. Various parallelization strategies
K-means_clustering
Fair division problem
Fair cake-cutting is a kind of fair division problem. The problem involves a heterogeneous resource, such as a cake with different toppings, that is assumed
Fair_cake-cutting
Type of numerical analysis
function is monotonic increasing. Another application is nonmetric multidimensional scaling, where a low-dimensional embedding for data points is sought
Isotonic_regression
Type of deterministic method for multivariate interpolation
proximity") when assigning weights. The expected result is a discrete assignment of the unknown function u {\displaystyle u} in a study region: u ( x )
Inverse_distance_weighting
Finite ordered list of elements
languages. Arity Coordinate vector Exponential object Formal language Multidimensional Expressions (OLAP) Prime k-tuple Relation (mathematics) Sequence Tuplespace
Tuple
State of indifference, or the suppression of emotions
using the AMI caregiver scale. The Dimensional Apathy Scale (DAS) is a multidimensional apathy instrument for measuring subtypes of apathy in different clinical
Apathy
Two-leveled set of preferences in economics
2004.05.005. Mishra, Debasis; Roy, Souvik (2013). "Implementation in multidimensional dichotomous domains". Theoretical Economics. 8 (2): 431. doi:10.3982/TE1239
Dichotomous_preferences
Type of biological prediction
primary structure. Structure prediction is different from the inverse problem of protein design. Protein structure prediction is one of the most important
Protein_structure_prediction
Set of rules defining correctly structured programs
create arrays that are associative, multidimensional, or both. (Technically, JavaScript does not support multidimensional arrays, but one can mimic them with
JavaScript_syntax
Simultaneous observation and analysis of more than one outcome variable
study and measurement of relationships Probability computations of multidimensional regions The exploration of data structures and patterns Multivariate
Multivariate_statistics
Pattern of similarities in human populations
ancestral clusters, multidimensional summary statistics characterize populations on a continuous spectrum. The most common multidimensional statistical method
Human_genetic_clustering
Multidimensional data algorithm
approximation algorithm which finds the "best matching" projections of multidimensional data onto the span of an over-complete (i.e., redundant) dictionary
Matching_pursuit
Statistical value representing the center or average of a distribution
median is only defined in one dimension; the geometric median is a multidimensional generalization. The mean can be defined identically for vectors in
Central_tendency
Automated recognition of patterns and regularities in data
These feature vectors can be seen as defining points in an appropriate multidimensional space, and methods for manipulating vectors in vector spaces can be
Pattern_recognition
living below the poverty line, of which 7.4% in "extreme poverty". The multidimensional poverty rate stands at 17.0% of the population. The average national
Poverty_in_Colombia
Grouping texts by similarity
results by plotting the clusters into low (two) dimensional space. See multidimensional scaling as a possible approach. Clustering algorithms in computational
Document_clustering
Method used in statistics, pattern recognition, and other fields
a class y {\displaystyle y} is purely a function of projection of multidimensional-space point x → {\displaystyle {\vec {x}}} onto vector w → {\displaystyle
Linear_discriminant_analysis
Type qualifier denoting the data as being read-only
value = 10; More complicated declarations are encountered when using multidimensional arrays and references (or pointers) to pointers. Although it is sometimes
Const_(computer_programming)
Method of result aggregation from multiple clustering algorithms
exist, we must "define" it, which is not always easy, especially in multidimensional spaces. The result of the clustering algorithm (that, in many cases
Consensus_clustering
multi-objective problem solving and space allocation nurse rostering personnel scheduling traveling salesman problem vehicle routing problem multidimensional knapsack
Hyper-heuristic
Theorem on triangulation graph colorings
there is an odd number (and at least one) of full-colored triangles. A multidimensional case can be proved by induction on the dimension of a simplex. We apply
Sperner's_lemma
Algorithm for searching a problem space
classical NP problems. To cite some of them: graph partitioning, multidimensional knapsack, travelling salesman problem, quadratic assignment problem, set cover
Memetic_algorithm
Functional programming language for arrays
developed in the 1960s by Kenneth E. Iverson. Its central datatype is the multidimensional array. It uses a large range of special graphic symbols to represent
APL_(programming_language)
Subset of artificial intelligence
low-dimensional representations directly from tensor representations for multidimensional data, without reshaping them into higher-dimensional vectors. Deep
Machine_learning
Class of artificial neural networks
exploding/vanishing gradients. A limitation of GCNs is that they do not allow multidimensional edge features e u v {\displaystyle \mathbf {e} _{uv}} . It is however
Graph_neural_network
Search algorithm
parti-game algorithm for variable resolution reinforcement learning in multidimensional state-spaces," Machine Learning, vol. 21, no. 3, pages 199–233, 1995
Rapidly_exploring_random_tree
states and the impact of those states on performance. Problem assignment: Determines how problems may be resolved or, at least, direct the results of inferences
IT_operations_analytics
Statistical sampling technique
method for generating a near-random sample of parameter values from a multidimensional distribution. The sampling method is often used to construct computer
Latin_hypercube_sampling
Grouping a set of objects by similarity
assignments Centroid-based clustering problems such as k-means and k-medoids are special cases of the uncapacitated, metric facility location problem
Cluster_analysis
Observed inability to reproduce scientific studies
Roessig S, Franke M, Ahn B, Al-Hoorie AH, et al. (1 July 2023). "Multidimensional Signals and Analytic Flexibility: Estimating Degrees of Freedom in
Replication_crisis
Hungarian method: a combinatorial optimization algorithm which solves the assignment problem in polynomial time Conjugate gradient methods (see more https://doi
List_of_algorithms
Theory and technique of psychological measurement
clear cutting points concerns other multivariate methods as well. Multidimensional scaling is a method for finding a simple representation for data with
Psychometrics
Branch of machine learning
RNN to study problems in cognitive psychology. In the 1980s, backpropagation did not work well for deep learning with long credit assignment paths. To overcome
Deep_learning
Organized collection of data in computing
be acted on right away. A spatial database can store the data with multidimensional features. The queries on such data include location-based queries,
Database
Range of mainframe computers in the 1960s and 70s
however regards all multidimensional arrays as being equivalent to a single-dimensional array of the same size, and for a multidimensional array simple integer
Burroughs_Large_Systems
Form of text that defines C code
Higher-dimensional arrays can be declared in a similar manner. A multidimensional array should not be confused with an array of pointers to arrays (also
C_syntax
Strong, deep, or close association or acquaintance between two or more people
measure the construct of relationship quality. Other scales, considered multidimensional, repeat this process for other hypothesized components (e.g., closeness
Interpersonal_relationship
American politician, astronaut and naval officer (born 1964)
Crucian, B. E.; De Vivo, I. (April 12, 2019). "The NASA Twins Study: A multidimensional analysis of a year-long human spaceflight". Science. 364 (6436) eaau8650
Mark_Kelly
Model used to visualise relationship between genotypes and reproductive success
fitness landscapes are ever truly separated by fitness valleys in such multidimensional landscapes, or whether they are connected by vastly long neutral ridges
Fitness_landscape
Quantum chemistry algorithm
an algorithm to solve the time-dependent Schrödinger equation for multidimensional dynamical systems consisting of distinguishable particles. The nuclei
Multi-configuration time-dependent Hartree
Multi-configuration_time-dependent_Hartree
Table that displays the frequency of variables
contingency tables. OLAP cube, a modern multidimensional computing form of contingency tables Panel data, multidimensional data over time Karl Pearson, F.R.S
Contingency_table
Class of artificial neural network
Schmidhuber, Jürgen (2009). "Offline Handwriting Recognition with Multidimensional Recurrent Neural Networks" (PDF). Advances in Neural Information Processing
Recurrent_neural_network
analysis Multicollinearity Multidimensional analysis Multidimensional Chebyshev's inequality Multidimensional panel data Multidimensional scaling Multifactor
List_of_statistics_articles
Interpretation of quantum mechanics
quantum mechanics this is a state space, mathematically represented as a multidimensional complex Hilbert space, in which the dimensions correspond to the above
Relational_quantum_mechanics
List of concepts in artificial intelligence
classical control and classification problems, the solutions are complex and must be discovered and optimized in multidimensional space. Planning is also related
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
Sociological constructs related to sex
harassment, and discrimination. Two instruments incorporating the multidimensional nature of masculinity and femininity have dominated gender identity
Gender
Array of processing elements specialized for parallelizable workloads
reformulating the problem of assigning kernel iterations to different loops and reordering them as a generalized assignment problem. It can then be solved
Spatial_architecture
Mathematical formula expressing equality
one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential
Equation
German state from 1918 to 1933
Sutatip (2014). Access to Justice in Transnational B2C E-Commerce. A Multidimensional Analysis of Consumer Protection Mechanisms. New York: Springer International
Weimar_Republic
Hardware description and hardware verification language
type such as "wire" so SystemVerilog can resolve the final value. Multidimensional packed arrays unify and extend Verilog's notion of "registers" and
SystemVerilog
System for displaying information by using different colors
When other attributes are varied (e.g. shape, size), the code is multidimensional, where the dimensions can be independent (each encoding separate variables)
Color_code
Analysis of the dimensions of different physical quantities
186–190, ISBN 978-0-89871-336-7 As postscript Hart, George W. (1995), Multidimensional Analysis: Algebras and Systems for Science and Engineering, Springer-Verlag
Dimensional_analysis
Applying operations to whole sets of values simultaneously
languages that support array programming (also known as vector or multidimensional languages) have been engineered specifically to generalize operations
Array_programming
Form of acquaintance rape and dating violence
(1997-06-01). "Rape Myth Acceptance and Sociodemographic Characteristics: A Multidimensional Analysis". Sex Roles. 36 (11–12): 693–707. doi:10.1023/A:1025671021697
Date_rape
GNU replacement for the Bourne shell
strings, in a manner similar to AWK or Tcl. They can be used to emulate multidimensional arrays. Parameter Expansion Expansion syntaxes which can perform some
Bash_(Unix_shell)
Technique in natural language processing
Belew, R., Latent Semantic Indexing is an Optimal Special Case of Multidimensional Scaling[dead link], Proceedings, ACM SIGIR Conference on Research and
Latent_semantic_analysis
Statistical measure of how far values spread from their average
{\displaystyle \varphi (x)=ax^{2}+b} , where a > 0. This also holds in the multidimensional case. Unlike the expected absolute deviation, the variance of a variable
Variance
Something that motivates individuals to perform
Many large firms organize production around teams to address complex, multidimensional tasks requiring diverse skills. In such settings, individual performance
Incentive
Function valued in a vector space; typically a real or complex one
mathematical function of one or more variables whose range is a set of multidimensional vectors or infinite-dimensional vectors. The input of a vector-valued
Vector-valued_function
Method of data analysis
correctly of the sum of the squared distances of the points from their multidimensional mean) that is associated with each eigenvector. The sum of all the
Principal_component_analysis
Possibility of an action on an object or environment
into triviality, some approaches have reaffirmed the relational and multidimensional nature of affordance. Van Lier (2004) develops the concept of “semiotic
Affordance
Prime Minister of Pakistan (1988–1990; 1993–1996)
Retrieved 20 December 2022. Suvorova, Anna (2015). Benazir Bhutto: A Multidimensional Portrait. Karachi: Oxford University Press Pakistan. ISBN 978-0-19-940172-7
Benazir_Bhutto
Branch of mathematics concerning probability
{\displaystyle \mathbb {R} \,.} These concepts can be generalized for multidimensional cases on R n {\displaystyle \mathbb {R} ^{n}} and other continuous
Probability_theory
Psychological test
diagnose and treat the emotional problems that develop in the stress of wartime military duty. Hutt's first assignment was to train Psychologists as clinicians
Bender-Gestalt_Test
Perception that only seems real
Chen E, Berrios GE (1996). "Recognition of hallucinations: a new multidimensional model and methodology". Psychopathology. 29 (1): 54–63. doi:10.1159/000284972
Hallucination
Aligning molecular sequences using sequence and structural information
and covariance matrices for the superposition. Algorithms based on multidimensional rotations and modified quaternions have been developed to identify
Structural_alignment
vulnerable to suffer from severe poverty than men. More women experience multidimensional poverty (38.9% compared to 25.2%). Many individual and social characteristics
Poverty_in_China
1965 science fiction novel by Frank Herbert
Melange is also necessary for space navigation, which requires a kind of multidimensional awareness and foresight that only the drug provides. As melange can
Dune_(novel)
Type of artificial intelligence system
layout of images and temporal continuity of video. Qwen2-VL uses a multidimensional variant for vision data, which it calls multimodal rotary positional
Vision–language_model
Theory of discrimination
approached as different facets of a person's identity, considered as a multidimensional whole. Standpoint theory has been described by Patricia Collins and
Intersectionality
Branch of research for business management, studying markets and economic opportunities
instrumental in developing techniques such as conjoint analysis and multidimensional scaling, both of which are used in positioning maps, market segmentation
Marketing_research
Programming paradigm based on applying and composing functions
Language Benchmarks Game. For programs that handle large matrices and multidimensional databases, array functional languages (such as J and K) were designed
Functional_programming
Signal processing technique
which is absolutely continuous and does have a density function. Multidimensional spectral estimation Periodogram Polyspectra (higher order spectra)
Spectral_density_estimation
Sexual attraction to more than one gender
and sexual behavior and reports the extent of all of those factors. Multidimensional Scale of Sexuality (MSS) Uses nine categories to categorize bisexuality
Bisexuality
American economist (born 1948)
Holmstrom and Milgrom introduced new techniques for studying multidimensional agency problems. The key insight in the Holmstrom-Milgrom paper is that simple
Paul_Milgrom
National Basketball Association team in Minneapolis
24, 2021. "Timberwolves, Lynx and iHeartMedia Minneapolis Announce Multidimensional Streaming and Radio Partnership". NBA.com. Archived from the original
Minnesota_Timberwolves
Subregion of the Asian continent
Afghans suffer from multidimensional poverty: gov't". Xinhua News Agency. Retrieved 1 September 2023. "24.1% Bangladeshis multidimensionally poor: Report".
South_Asia
Middle quantile of a data set or probability distribution
ISBN 0-340-54937-8. MR 1604954. Small, Christopher G. "A survey of multidimensional medians." International Statistical Review/Revue Internationale de
Median
Programming language standard
conses. Common Lisp supports multidimensional arrays, and can dynamically resize adjustable arrays if required. Multidimensional arrays can be used for matrix
Common_Lisp
Sequence of data points over time
series is one type of panel data. Panel data is the general class, a multidimensional data set, whereas a time series data set is a one-dimensional panel
Time_series
1986 science fiction novel by Lois McMaster Bujold
Gerlach of SF Site wrote, "Bujold's got an uncanny ability to create multidimensional, flawed, and loveable characters in a very short space. Even though
Ethan_of_Athos
Grouping by physical or social qualities
Corbett, M.; Robinson, E. L. (1996). "The perceived racism scale: A multidimensional assessment of the experience of white racism among African Americans"
Race_(human_categorization)
Range of neurodevelopmental conditions
Delays, and Learning Difficulties: Interactive Elements Requiring Multidimensional Programming". Journal of Learning Disabilities. 40 (5): 400–409. doi:10
Learning_disability
Pattern of romantic/sexual attraction based on sex/gender
Fritz Klein developed the Klein sexual orientation grid (KSOG), a multidimensional scale for describing sexual orientation. Introduced in Klein's book
Sexual_orientation
Type of interview
which the construct even exists in their country. For example, the Multidimensional Work Ethic Profile (MWEP), is a scale demonstrated to work across many
Job_interview
MULTIDIMENSIONAL ASSIGNMENT-PROBLEM
MULTIDIMENSIONAL ASSIGNMENT-PROBLEM
Girl/Female
Indian, Telugu
Destroyer of Problems
Girl/Female
Muslim/Islamic
Away from all Problems
Boy/Male
Arabic, Indian, Muslim
Problem Solver
Boy/Male
Hindu, Indian
Problem
Boy/Male
Muslim
Problem solver
Girl/Female
Bengali, Indian
Eternity; Problem Solver
Boy/Male
Indian, Tamil
People with this Name are Preferably Intelligent and Very Generous; Highly Knowledgeable in Problem Solving Skills
MULTIDIMENSIONAL ASSIGNMENT-PROBLEM
MULTIDIMENSIONAL ASSIGNMENT-PROBLEM
Boy/Male
African, American, Australian, British, Chinese, Danish, Dutch, English, French, German, Hawaiian, Hebrew, Irish, Jamaican, Portuguese, Swedish
Rest; Comfort; Wanderer; Peaceful; Repose; Consolation; Motion
Boy/Male
Hebrew
Father of fire.
Biblical
whom Jehovah will build up;God builds;Jehovah is builder;
Boy/Male
Arabic, Muslim
One who Strengthens the Religion Islam
Girl/Female
Arabic, Muslim
Cheerfulness
Girl/Female
Indian
Star
Female
Spanish
Portuguese and Spanish form of French Lourdes, of unknown LURDES means. Lourdes is where a shrine was erected for Bernadette Soubirous who had visions of the Virgin Mary.Â
Girl/Female
Biblical
Complete or perfect peace.
Boy/Male
Hindu, Indian
King of Chitra; Wonderful Lord; Another Name for Moon
Surname or Lastname
English
English : variant of Ida. There is a place called Ide near Exeter in Devon; the etymology is obscure, perhaps from a pre-English river name; it does not seem to be connected with the surname.North German : variant of Ihde.Japanese : ‘sluice’, ‘spillway’; a topographic name for someone who lived near a dam. Variously written, it originated in Echizen and Kaga (now Fukui and Ishikawa prefectures) and is found mostly in eastern Japan.
MULTIDIMENSIONAL ASSIGNMENT-PROBLEM
MULTIDIMENSIONAL ASSIGNMENT-PROBLEM
MULTIDIMENSIONAL ASSIGNMENT-PROBLEM
MULTIDIMENSIONAL ASSIGNMENT-PROBLEM
MULTIDIMENSIONAL ASSIGNMENT-PROBLEM
n.
The transfer of the property of a bankrupt to certain persons called assignees, in whom it is vested for the benefit of creditors.
n.
A transfer of title or interest by writing, as of lease, bond, note, or bill of exchange; a transfer of the whole of some particular estate or interest in lands.
n.
The assignment of parts in a play to the actors.
n.
An allotting or an appointment to a particular person or use; or for a particular time, as of a cause or causes in court.
n.
The act of allotting; assignment.
n.
A token, mark, or explanation.
n.
See Assythment.
n.
The writing by which an interest is transferred.
n.
The act of resigning.
n.
Assignment of quarters for soldiers; quarters.
n.
A making over by transfer of title; assignment.
n.
The act of reassigning.
n.
Design; purpose; scheme.
n.
See Alignment.
n.
The act of adjusting to a line; arrangement in a line or lines; the state of being so adjusted; a formation in a straight line; also, the line of adjustment; esp., an imaginary line to regulate the formation of troops or of a squadron.
n.
Delineation; sketch; design; ideal; invention.
n.
Same as Alignment.
n.
The ground-plan of a railway or other road, in distinction from the grades or profile.
n.
The assignment of a bastard child to some one as its father; affiliation.
n.
The assignment of a cause.