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<head>
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<title>Ackley's function</title>
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</head>
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<body><EFBFBD>
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<body>
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<h1 align="center">Ackley's function</h1>
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<center>
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<img src="images/ackleytex.jpg" width="500" height="58" aling="center">
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</center>
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<p>
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Ackley's function is intense multimodal and symmetrical. It refers to an exponential function which is modulated through a cosine function. The outside region is almost planar by the growing influence of the exponential function. In the center it possesses a hole by the influence of the cosine function.<br>
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Ackley's function is multimodal and symmetrical. It is based on an exponential function and modulated by a cosine function.
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The outside region is almost planar as to the growing influence of the exponential function.
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In the center there is a steep hole as to the influence of the cosine function.<br>
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Its minimum is at: <i>f(x)</i>=<i>f</i>([0, 0, ... , 0])=0.
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<p>
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The difficulty for an optmization algorithm is mid-graded because a simple optimization-algorithm like <i>hill-climbing</i> would get stuck in a local minimum. The optimization algorithm has to search a broader environ to overcome the local minimum and get closer to the global optima.
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The difficulty for an optimization algorithm is mid-graded because a simple optimization-algorithm like <i>hill-climbing</i> would get stuck in a local minimum. The optimization algorithm has to search a broader environ to overcome the local minimum and get closer to the global optima.
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<p>
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