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The following is the skeleton of a generic branch and bound algorithm for minimizing an arbitrary objective function f. [3] To obtain an actual algorithm from this, one requires a bounding function bound, that computes lower bounds of f on nodes of the search tree, as well as a problem-specific branching rule.
Joint compatibility branch and bound (JCBB) is an algorithm in computer vision and robotics commonly used for data association in simultaneous localization and mapping. JCBB measures the joint compatibility of a set of pairings that successfully rejects spurious matchings and is hence known to be robust in complex environments.
In Boolean algebra, Petrick's method [1] (also known as Petrick function [2] or branch-and-bound method) is a technique described by Stanley R. Petrick (1931–2006) [3] [4] in 1956 [5] [6] for determining all minimum sum-of-products solutions from a prime implicant chart. [7]
The branch and bound algorithm is a general method used to increase the efficiency of searches for near-optimal solutions of NP-hard problems first applied to phylogenetics in the early 1980s. [14] Branch and bound is particularly well suited to phylogenetic tree construction because it inherently requires dividing a problem into a tree ...
In discrete optimization, a special ordered set (SOS) is an ordered set of variables used as an additional way to specify integrality conditions in an optimization model. . Special order sets are basically a device or tool used in branch and bound methods for branching on sets of variables, rather than individual variables, as in ordinary mixed integer programm
Greedy algorithm; Divide and conquer algorithm. Akra–Bazzi method; Dynamic programming; Branch and bound; Birthday attack, birthday paradox; Floyd's cycle-finding algorithm; Reduction to linear algebra; Sparsity; Weight function; Minimax algorithm. Alpha–beta pruning; Probabilistic method; Sieve methods; Analytic combinatorics; Symbolic ...
The Data Authentication Algorithm (DAA) is a former U.S. government standard for producing cryptographic message authentication codes. DAA is defined in FIPS PUB 113, [1] which was withdrawn on September 1, 2008. [citation needed] The algorithm is not considered secure by today's standards.
Applying these two concepts results in an efficient data structure and algorithms for the representation of sets and relations. [10] [11] By extending the sharing to several BDDs, i.e. one sub-graph is used by several BDDs, the data structure Shared Reduced Ordered Binary Decision Diagram is defined. [2]