Constraint programming | Types of functions | Convex optimization

Test functions for optimization

In applied mathematics, test functions, known as artificial landscapes, are useful to evaluate characteristics of optimization algorithms, such as: * Convergence rate. * Precision. * Robustness. * General performance. Here some test functions are presented with the aim of giving an idea about the different situations that optimization algorithms have to face when coping with these kinds of problems. In the first part, some objective functions for single-objective optimization cases are presented. In the second part, test functions with their respective Pareto fronts for multi-objective optimization problems (MOP) are given. The artificial landscapes presented herein for single-objective optimization problems are taken from Bäck, Haupt et al. and from Rody Oldenhuis software. Given the number of problems (55 in total), just a few are presented here. The test functions used to evaluate the algorithms for MOP were taken from Deb, Binh et al. and Binh. The software developed by Deb can be downloaded, which implements the NSGA-II procedure with GAs, or the program posted on Internet, which implements the NSGA-II procedure with ES. Just a general form of the equation, a plot of the objective function, boundaries of the object variables and the coordinates of global minima are given herein. (Wikipedia).

Test functions for optimization
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New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

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Here we use optimization with constraints put on a function whose minima or maxima we are seeking. This has practical value as can be seen by the examples used.

From playlist Advanced Calculus / Multivariable Calculus

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Define an inverse function. Determine if a function as an inverse function. Determine inverse functions.

From playlist Determining Inverse Functions

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Introduction to Optimization

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From playlist Optimization

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13_1 An Introduction to Optimization in Multivariable Functions

Optimization in multivariable functions: the calculation of critical points and identifying them as local or global extrema (minima or maxima).

From playlist Advanced Calculus / Multivariable Calculus

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From playlist Calculus

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From playlist What is the Domain and Range of the Function

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From playlist What is the Domain and Range of the Function

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Stanford CS330: Multi-Task and Meta-Learning, 2019 | Lecture 3 - Optimization-Based Meta-Learning

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai Assistant Professor Chelsea Finn, Stanford University http://cs330.stanford.edu/

From playlist Stanford CS330: Deep Multi-Task and Meta Learning

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From playlist 2019 - T1 - The Mathematics of Imaging

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From playlist Virtual Conference

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Stanford CS330: Multi-Task and Meta-Learning, 2019 | Lecture 4 - Non-Parametric Meta-Learners

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai Assistant Professor Chelsea Finn, Stanford University http://cs330.stanford.edu/

From playlist Stanford CS330: Deep Multi-Task and Meta Learning

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Stanford CS330: Deep Multi-task and Meta Learning | 2020 | Lecture 4 - Optimization Meta-Learning

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/ai To follow along with the course, visit: https://cs330.stanford.edu/ To view all online courses and programs offered by Stanford, visit: http://online.stanford.

From playlist Stanford CS330: Deep Multi-task and Meta Learning | Autumn 2020

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Stanford CS330: Deep Multi-Task & Meta Learning I 2021 I Lecture 4

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From playlist Stanford CS330: Deep Multi-Task & Meta Learning I Autumn 2021I Professor Chelsea Finn

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From playlist Mathematics

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From playlist SIAM Activity Group on FME Virtual Talk Series

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From playlist MIT 6.172 Performance Engineering of Software Systems, Fall 2018

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Analyze the characteristics of multiple functions

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From playlist Characteristics of Functions

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Machine Learning Control: Tuning a PID Controller with Genetic Algorithms

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From playlist Data-Driven Control with Machine Learning

Related pages

Pareto front | Himmelblau's function | Rosenbrock function | Shekel function | Rastrigin function | Multi-objective optimization | Ackley function