
PPT
... all data are finite and integral. Proof. By flow decomposition, we can express the min cost flow as the sum of n+m paths and cycles. Each path and cycle has a cost bounded by nC, where C = max (|cij| : (i,j) ∈ A). The cost of the flow is at most (nC)(n+m)U, where U is the ...
... all data are finite and integral. Proof. By flow decomposition, we can express the min cost flow as the sum of n+m paths and cycles. Each path and cycle has a cost bounded by nC, where C = max (|cij| : (i,j) ∈ A). The cost of the flow is at most (nC)(n+m)U, where U is the ...
Mathematical Programming for Data Mining
... beginning to be scaled to operate on large databases. In classification, examples include scalable decision tree algorithms [95, 33] and scalable approaches to computing classification surfaces [21, 102]. In clustering scalable approaches include [17, 125, 60, 2]. In data summarization, examples inc ...
... beginning to be scaled to operate on large databases. In classification, examples include scalable decision tree algorithms [95, 33] and scalable approaches to computing classification surfaces [21, 102]. In clustering scalable approaches include [17, 125, 60, 2]. In data summarization, examples inc ...
Mathematical optimization

In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.