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Dynamic programming

Dynamic programming (DP) is both a mathematical optimization method and an algorithmic paradigm. The method was developed by Richard Bellman in the 1950s and has found applications in numerous fields, such as aerospace engineering and economics.

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Overview

Dijkstra's algorithm for the shortest path problem

Fibonacci sequence

A type of balanced 0–1 matrix

Checkerboard

Sequence alignment

Tower of Hanoi puzzle

Egg dropping puzzle

Matrix chain multiplication

History of the name

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Dynamic programming

Nodes91
Edges90
Triples155
Avg. degree1.98
Density0.021978
Components1

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Dynamic programming

Top relations

related to Further reading · 68
Dynamic programming → Academic Press, Adda, Algorithms, American Mathematical Society, An, Archived, Averill, Bellman, Bulletin, Cambridge University Press, Charles, Clifford, Complex Networks, Computer Programming, Control Letters, Control Techniques, Cooper, Cormen, Discipline, Dover
related to Computer science · 13
Dynamic programming → Algorithms, Bellman, Floyd, For, Ford, Hence, If, Introduction, Optimal, Such, There, This, Warshall
related to Bioinformatics · 10
Dynamic programming → Alexander Zasedatelev, Charles DeLisi, DNA, Dynamic, Georgii Gurskii, Recently, RNA, Soviet Union, The, US
related to history · 9
Dynamic programming → An Autobiography, Bellman, Bellman's, By, Eye, Hurricane, IEEE, Richard Bellman, The
related to Matrix chain multiplication · 8
Dynamic programming → For, If, It, Matrix, So, There, Therefore, They
related to External links · 7
Dynamic programming → An, Dynamic Programming Explained, Ian, King, Macroeconomic Models, Simple Introduction, What
see also · 7
Dynamic programming → Convexity, Field, Framework, Sequence, Significant, Systems, Violations
related to Mathematical optimization · 5
Dynamic programming → In, This, V1, V2, Vn
related to A type of balanced 0–1 matrix · 4
Dynamic programming → Consider, For, There, We
related to Dijkstra's algorithm for the shortest path problem · 4
Dynamic programming → Dijkstra's, From, In, Reaching

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Important terminology

displaystyle dynamic programming problem time optimal one bellman solution number using first values equation path solutions value example algorithm recursive

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
thisinstance ofwe end up solving the same problems over and over if we adopt a naive recursive solution0.80text
sequence alignmentinstance ofMemoization is also encountered as an easily accessible design pattern within term-rewrite based languages such as Wolfram Language.BioinformaticsDynamic programming is widely u…0.80text
protein foldinginstance ofMemoization is also encountered as an easily accessible design pattern within term-rewrite based languages such as Wolfram Language.BioinformaticsDynamic programming is widely u…0.80text
RNA structure predictioninstance ofMemoization is also encountered as an easily accessible design pattern within term-rewrite based languages such as Wolfram Language.BioinformaticsDynamic programming is widely u…0.80text
protein-DNA bindinginstance ofMemoization is also encountered as an easily accessible design pattern within term-rewrite based languages such as Wolfram Language.BioinformaticsDynamic programming is widely u…0.80text
Wolfram Languageinstance ofMemoization is also encountered as an easily accessible design pattern within term-rewrite based languages0.80text
sequence alignmentinstance ofBioinformaticsDynamic programming is widely used in bioinformatics for tasks0.80text
protein foldinginstance ofBioinformaticsDynamic programming is widely used in bioinformatics for tasks0.80text
RNA structure predictioninstance ofBioinformaticsDynamic programming is widely used in bioinformatics for tasks0.80text
protein-DNA bindinginstance ofBioinformaticsDynamic programming is widely used in bioinformatics for tasks0.80text
Dynamic programmingrelated to A type of balanced 0–1 matrixConsider0.60section
Dynamic programmingrelated to A type of balanced 0–1 matrixWe0.60section

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