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Dynamic programming - Wikipedia Dynamic programming is widely used in bioinformatics for tasks such as sequence alignment, protein folding, RNA structure prediction and protein-DNA binding The first dynamic programming algorithms for protein-DNA binding were developed in the 1970s independently by Charles DeLisi in the US [6] and by Georgii Gurskii and Alexander Zasedatelev in the Soviet Union [7] Recently these algorithms
Dynamic programming language - Wikipedia A dynamic programming language is a type of programming language that allows various operations to be determined and executed at runtime This is different from the compilation phase Key decisions about variables, method calls, or data types are made when the program is running, unlike in static languages, where the structure and types are fixed during compilation Dynamic languages provide
Viterbi algorithm - Wikipedia The Viterbi algorithm is a dynamic programming algorithm that finds the most likely sequence of hidden events that would explain a sequence of observed events The result of the algorithm is often called the Viterbi path It is most commonly used with hidden Markov models (HMMs) For example, if a doctor observes a patient's symptoms over several days (the observed events), the Viterbi
Stochastic dynamic programming - Wikipedia Originally introduced by Richard E Bellman in (Bellman 1957), stochastic dynamic programming is a technique for modelling and solving problems of decision making under uncertainty Closely related to stochastic programming and dynamic programming, stochastic dynamic programming represents the problem under scrutiny in the form of a Bellman equation [1] The aim is to compute a policy
Smith–Waterman algorithm - Wikipedia Like the Needleman–Wunsch algorithm, of which it is a variation, Smith–Waterman is a dynamic programming algorithm As such, it has the desirable property that it is guaranteed to find the optimal local alignment with respect to the scoring system being used (which includes the substitution matrix and the gap-scoring scheme)
Bellman equation - Wikipedia Bellman flow chart A Bellman equation, named after Richard E Bellman, is a technique in dynamic programming which breaks an optimization problem into a sequence of simpler subproblems, as Bellman's "principle of optimality" prescribes [1] It is a necessary condition for optimality [2] The "value" of a decision problem at a certain point in time is written in terms of the payoff from some
Knapsack problem - Wikipedia Dynamic programming in-advance algorithm The unbounded knapsack problem (UKP) places no restriction on the number of copies of each kind of item Besides, here we assume that subject to and Observe that has the following properties: 1 (the sum of zero items, i e , the summation of the empty set) 2 , , where is the value of the -th kind of item
Floyd–Warshall algorithm - Wikipedia The Floyd–Warshall algorithm is an example of dynamic programming, and was published in its currently recognized form by Robert Floyd in 1962 [3] However, it is essentially the same as algorithms previously published by Bernard Roy in 1959 [4] and also by Stephen Warshall in 1962 [5] for finding the transitive closure of a graph, [6] and is closely related to Kleene's algorithm (published
Change-making problem - Wikipedia Methods of solving Simple dynamic programming A classic dynamic programming strategy works upward by finding the combinations of all smaller values that would sum to the current threshold [3] Thus, at each threshold, all previous thresholds are potentially considered to work upward to the goal amount W