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Adaptation der Schrittweite

– 1/5-Erfolgsregel (global)
– CSA, CMA-ES (global)
– mutative Schrittweitenadaptation (log-normal oder konstanter Faktor) (lokal)
– Meta-Evolution
– Weitere Techniken (später)

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Drei Maße für lokale Performanz

– Erfolgswahrscheinlichkeit
– Forschrittsrate (Fortschritt pro Generation)
– Qualitätsgewinn (Gewinn pro Generation)

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Testprobleme

– Kugelmodell (sphere model)
– Parabelgrad (ridge function)
– Verrauschtes Kugelmodell (noisy sphere)

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Erfolgsrate

Wahrscheinlichkeit, dass ein Nachkomme besser als
die Eltern ist.

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Qualitätsgewinn

Ähnlich wie Fortschrittsrate, nur bestimmen wir die
erwartet Verbesserung der Fitness.

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1/5 Sucess rule
(Ein fünftel Erfolgsregel)

In order to obtain nearly optimal (local)
performance of the (1+1)-ES in real-valued search
space, tune the mutation strength in such a way
that the measured success rate is about 1/5.

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Wozu Rekombination?

Zusammenführung erfolgreicher Schemata (Building-Block-Hypothese)

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CSA - Idea

• Similar to 1/5 success rule
• Increase sigma, if under selection the steps are
larger than under neutral evolution; and vice versa
• The CSA is a specific implementation of this idea.
• The CMA is a more advanced implementation of
this idea.

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Warum ist die Ein-Funftel-Erfolgsregel problematisch?

Funktioniert nur bei (1+1)-ES

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Welche Rekombinationstechniken gibt es fur Zahlenvektoren?

Crossover, intermediäre Rekombination (x+y)/2

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Welche Vorteile/ Nachteile hat die geschachtelte ES?

• Metaheuristik für globale Suche, die lokale Suche
integriert (innere Schleife sucht lokal, äußere
global)
• Äußere Schleife modifiziert Struktur der
Individuen, innere optimiert Parameter
• Optimierung der inneren ES, Meta-Evolution

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Self-
Selbstadaptive
Schrittweitenanpassung

• log-normal rule
– one sigma
– N sigmas
• two-point rules

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Evolutionäre Algorithmen at Universität Jena

Flashcards and summaries for Evolutionäre Algorithmen at the Universität Jena

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Evolutionäre Algorithmen at Universität Jena

Flashcards and summaries for Evolutionäre Algorithmen at the Universität Jena

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