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The Set Covering Machine - ECS EPrints Repository
Web1 Jan 2024 · This chapter deals with the set covering problem, a specific type of a discrete location and representative combinatorial optimization problem, which occupies a huge space in military... Set covering is equivalent to the hitting set problem. That is seen by observing that an instance of set covering can be viewed as an arbitrary bipartite graph, with the universe represented by vertices on the left, the sets represented by vertices on the right, and edges representing the inclusion of elements in sets. … See more The set cover problem is a classical question in combinatorics, computer science, operations research, and complexity theory. It is one of Karp's 21 NP-complete problems shown to be NP-complete in … See more If each element occurs in at most f sets, then a solution can be found in polynomial time that approximates the optimum to within a factor of f using LP relaxation. If the constraint $${\displaystyle x_{S}\in \{0,1\}}$$ is replaced by $${\displaystyle x_{S}\geq 0}$$ for … See more • Hitting set is an equivalent reformulation of Set Cover. • Vertex cover is a special case of Hitting Set. See more The minimum set cover problem can be formulated as the following integer linear program (ILP). This ILP belongs to the more general class of ILPs for See more There is a greedy algorithm for polynomial time approximation of set covering that chooses sets according to one rule: at each stage, choose the set that contains the largest number of uncovered elements. This method can be implemented in time … See more Relaxing the integer linear program for weighted set cover stated above, one may use randomized rounding to get an $${\displaystyle O(\log n)}$$-factor approximation. Non … See more • Benchmarks with Hidden Optimum Solutions for Set Covering, Set Packing and Winner Determination • A compendium of NP optimization problems - Minimum Set Cover See more blackout blinds roller shade
genome sequences with the Set Covering Machine - arXiv
Web25 Jul 2009 · The set covering machine with data-dependent half-spaces. In Proceedings of the twentieth international conference on machine learning (ICML 2003) (pp. 520–527). Marchand, M., & Shawe-Taylor, J. (2001). Learning with the set covering machine. In Proceedings of the eighteenth international conference on machine learning (ICML 2001) … WebThe Set Covering Machine - ECS EPrints Repository. EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa … WebThe Set Covering Machine (SCM) is a machine learning algo- rithm that constructs a conjunction of Boolean functions. This algorithm is motivated by the minimization of a theoretical bound. However, find- ing the optimal conjunction according to this bound is a combinatorial problem. The SCM approximates the solution using a greedy approach. garden skink lizard what do they eat