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The total variation may be decomposed into many components.
Each project functionality will be decomposed into many tasks, which will be completed by software agents.
In the first phase, the population will be decomposed into many sub-populations and each sub-population is designed for a scalar multi-objective.
By these divisions of class spaces, a classification problem can be decomposed into many binary classification subtasks between cluster pairs, which are much easier than the classification task in the original multi-class space.
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The single and fully-connected clique is decomposed into many cliques of smaller sizes.
The manufacturing and cooling processes in a laminated workpiece are decomposed into many turns.
Then, based on the dual decomposition method, this problem is decomposed into many subproblems, which can be solved independently in a parallel fashion at each source/link, and builds the Dual Decomposition based Optimal and Fair Congestion Control framework (D2OFC2) to coordinate their source allocation among flows.
Recall that the output space Y of a constant CNN can be decomposed into finitely many subspaces Y j such that Y j is a SFT for each j.
We show that the domain of the optimal value function can be decomposed into finitely many subsets with disjoint relative interiors, which is different from the result based on the concept of the optimal basis.
Homoclinic classes are the natural candidates to replace hyperbolic basic sets, for instance, if f is Axiom A, then Smale's spectral decomposition theorem says that the non-wandering set can be decomposed into finitely many basic sets, and each basic set is a homoclinic class.
Let the part of the boundary Γ = ⋃ i Γ i be decomposed into its finitely many connected components Γ i.
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