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Mathematical Aspects of Artificial Intelligence
Mathematical Aspects of Artificial Intelligence

a multi-period investment selection model for strategic
a multi-period investment selection model for strategic

... previous period to the next. The constraint can be easily modified if a roll-over scheme is not possible. Equation (3) ensures each arc will select only one capacity expansion option. Equation (4) is the link capacity constraint total flow on arc (i, j) is less than or equal to the current capacity, ...
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Compute-Intensive Methods in Artificial Intelligence

... Reasoning from first-principles: Compilation, approximation, and abstraction. Compute-intensive methods operate from “first-principles”, in that little or no domainspecific search control knowledge is used. This kind of reasoning or search generally requires substantial computational resources. In o ...
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Performance analysis and optimization of parallel Best

... combinatorial optimization problems, such as: optimal route planning, robot navigation, optimal sequence alignments, among others (Russel & Norvig, 2003). One of the most widely used heuristic search algorithms for that purpose is A* (Hart, et al., 1968), a variant of Best-First Search, which requir ...
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Solving the 0-1 Knapsack Problem with Genetic Algorithms
Solving the 0-1 Knapsack Problem with Genetic Algorithms

... optimization problem, which seeks to maximize the benefit of objects in a knapsack without exceeding its capacity. The paper contains three sections: brief description of the basic idea and elements of the GAs, definition of the Knapsack Problem, and implementation of the 0-1 Knapsack Problem using ...
Midterm 2: Solutions Math 118A, Fall 2013 1. [25%] Find all
Midterm 2: Solutions Math 118A, Fall 2013 1. [25%] Find all

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Dynamic Programming

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Optimal Algorithms and Inapproximability Results for Every CSP?

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Function Identification in Neuron Populations via Information

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Solve Problems Using the Pythagorean Theorem

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SSABSA support materials

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A New Branch of Mountain Pass Solutions for the Choreographical 3

... winding number with respect, for instance, to the line x = −0.2, y = 0 is 2 and it does not intersect itself. Moreover, the numerical computation of its Morse index indicates that the new orbit cannot be a minimizer and that it is of mountain pass type. The computer assisted method, introduced in [3 ...
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On the Computation of Confluent Hypergeometric Functions for

The Relative Judgment Theory of the Psychometric Function
The Relative Judgment Theory of the Psychometric Function

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MA103 - West Point

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Efficient robust digital hyperplane fitting with bounded

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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.
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