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Category Archives: Optimization
What is Kronecker Product?
Kronecker Product is a generalization of the outer product of two arbitrary size matrices and results in a block matrix. and then Example: Python example using numpy
Posted in Linux, Machine Learning, Optimization, programming, Python, Software, Ubuntu
Tagged algebra, array, code, easy, explained, inner product, kronecker, kronecker product, math, mathematics, matrix, numpy, outer product, product, programming, python, sample, simple, source code, sourcecode, step-by-step, tutorial, windows
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Slerp: Spherical linear interpolation in quaternion space
in my previous post, I explained the simple Lerp method for calculating linear interpolation in the quaternion space. I also mentioned that while normalizing the output could help to get an optimized result, the velocity curve is not constant. To … Continue reading
Posted in Linux, Machine Learning, MATLAB, Optimization, programming, Robotics, ROS, Software, Ubuntu, Uncategorized
Tagged 3d, 4D, code, easy, example, geometry, interpolation, lerp, lie group, linear, math, mathematics, Matlab, orientation, quaternion, robot, Robotics, ROS, rotation, simple, slerp, source code, step by step, tutorial
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Lerp: Linear interpolation in quaternion space
Lerp stands for Linear interpolation. It is method for linearly interpolate between quaternions. Consider and as two quaternions and . Lerp works as follows: The interpolation curve for the linear interpolation (Lerp) gives a straight line in quaternion space and … Continue reading
Posted in Linux, Machine Learning, MATLAB, Optimization, Robotics, ROS, Software, Ubuntu, Uncategorized
Tagged 3d, 4D, convert, coordinate system, geometry, interpolation, linear, math, mathematics, normal, normalize, orientation, quaternion, robot, rotation, space, unit sphere
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Iterative Learning Control – Part 2
In the previous post I explained the ILC controllers and compared them to the conventional feedback controllers. In this post I show a simple example that employs an ILC. Check the following simple, linear plant: In this system, is the … Continue reading
Posted in control, Machine Learning, MATLAB, Optimization, programming, Robotics, Software
Tagged algorithm, code, control, easy, example, ILC, iteration, iterative, iterative learning control, Machine Learning, plant, programming, robot, Robotics, simple, source code, step by step, system, tutorial
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Iterative Learning Control – Part 1
Iterative Learning Control (ILC) is used for improving the transient response in systems that perform repetitively. ILC tries to improve the response by adjusting the input to the plant based on the error observed in the previous iteration. A conventional … Continue reading
Posted in control, Machine Learning, MATLAB, Optimization, programming, Robotics, Software
Tagged code, control, control theory, controller, easy, example, gain, ILC, iteration, iterative learning control, learning, Machine Learning, mathematics, plant, simple, source code, space, space-state, state, step by step, system, tutorial
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#Optimization with #Simulated #Annealing – A #MATLAB tutorial for beginners
In this tutorial I will show how to use Simulated Annealing for minimizing the Booth’s test function. Simulated Annealing is one of the most famous optimization algorithms that has been also implemented in MATLAB as a built-in function. The Booth’s … Continue reading
Posted in Linux, Machine Learning, MATLAB, Optimization, programming, Software, Ubuntu
Tagged annealing, beginners, code, easy, fitness, fitness function, linux, math, mathematics, mathworks, minimization, numerical, objective, objective function, optimal, optimization, population, program, programming, simple, simulated annealing, software, source code, step by step, tutorial, video, windows
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Particle Swarm Optimization – A MATLAB Tutorial for beginners
In this tutorial I will show you how to use the built-in Particle Swarm Optimization (PSO) algorithm in MATLAB. I optimize the famous Ackley’s function which has a global minimum at [0 0] and the function value in the optimum … Continue reading
Posted in Linux, Machine Learning, MATLAB, Optimization, programming, Robotics, Software, Ubuntu
Tagged ackley, beginner, code, easy, fitness, fitness function, linux, m-file, math, mathematics, Matlab, minimum, objective, objective function, optimization, optimum, Particle Swarm, Particle Swarm Optimization, PSO, script, simple, software, source code, test problem, tutorial, ubuntu, video, windows
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Using Multi-Objective Genetic Algorithm to Optimize the ZDT1 test problem – A MATLAB video tutorial
In this tutorial, I show implementation of the ZDT1 multi-objective test problem and optimize it using the built-in Multi-objective Genetic Algorithm in MATLAB. The given objective function is a standard test function that helps a beginner user to understand the … Continue reading
Posted in Linux, Machine Learning, MATLAB, Optimization, programming, Robotics, Software, Ubuntu
Tagged artificial intelligence, beginners, code, easy, evolution strategy, function, generation, genetic algorithm, Machine Learning, math, mathematics, mathworks, Matlab, multi-objective, numerical methods, optimal, optimization, optimum, pareto, pareto front, plot, population, programming, Robotics, script, simple, software, source code, step by step, test problem, tutorial, ubuntu, video, windows, zdt, zdt1
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Optimization with Pattern Search – A MATLAB Tutorial for beginners
Pattern search is a local optimization technique that can be applied on both constrained and unconstrained optimization problems. The constraints can be either linear or nonlinear. The algorithm works based on an adaptive mesh which is aligned with the coordinate … Continue reading
Posted in Linux, Machine Learning, MATLAB, Optimization, programming, Robotics, Software, Ubuntu
Tagged adaptive, beginner, code, constrained, constraint, easy, function, genetic algorithm, linear, linux, math, mathematics, Matlab, mesh, minimum, nonlinear, optimal, optimization, optimum, pattern, pattern search, programming, script, search, simple, single objective, software, source code, step by step, tutorial, unconstrained, value function, video, windows
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