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@ -4,7 +4,7 @@ |
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Idea: escape local maxima by allowing some bad moves but gradually decrease their size and frequency. |
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This is similar to gradient descent. |
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Idea comes from making glass where you start very hot and then slowely cool down the temperature. |
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Idea comes from making glass where you start very hot and then slowly cool down the temperature. |
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## Beam search |
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@ -17,7 +17,7 @@ Problem: quite often all k states end up on same local hill. This can somewhat b |
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## Genetic algorithms |
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Inspired by Charles Darwin's theory of evolution. |
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The algorithm is an extension of local beam search with cuccessors generated from pairs of individuals rather than a successor function. |
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The algorithm is an extension of local beam search with successors generated from pairs of individuals rather than a successor function. |
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@ -121,13 +121,13 @@ to choose a value that violates the fewest constraints. |
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### Probability space |
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The probability space $\omega$ is all possible outcomes. |
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The probability space $\Omega$ is all possible outcomes. |
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A dice roll has 6 possible outcomes. |
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### Atomic Event |
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An atomic event w is a single element from the probability space. |
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$w \in \omega$ |
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$w \in \Omega$ |
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Ex: rolling a dice of 4 |
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The probability of w is between [0,1]. |
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@ -135,7 +135,7 @@ The probability of w is between [0,1]. |
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### Event |
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An event A is any subset of the probability space $\omega$ |
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An event A is any subset of the probability space $\Omega$ |
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The probability of an event is the sum of the probabilities of the atom events in the event. |
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Ex: probability of rolling a even number dice is 1/2. |
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