Probabilistische Algorithmen SS09

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Archivierte Version vom 2009-05-15T10:25:06+00:00. Aktuelle Version

Inhaltsverzeichnis

1 Einführung in proballistische Algorithmen
2 Algorithmen
- 2.1 Las-Vegas-Algorithmus
- 2.2 Monte-Carlo-Algorithmus Gruppe 2
  - 2.2.1 Multimengenvergleiche
  - 2.2.2 Buffons Nadel
3 Ausblick
- 3.1 Genetische Programmierung Gruppe 2
4 Quellen

Einführung in proballistische Algorithmen

Einführung in probalistische Algorithmen

"Zufallszahlen"

Algorithmen

Las-Vegas-Algorithmus

lalala Las-Vegas-Algorithmen lalala

Monte-Carlo-Algorithmus Gruppe 2

Multimengenvergleiche

(define random-maker
  (let* ((multiplier 48271)
         (modulus 2147483647)
         (apply-congruence
          (lambda (current-seed)
            (let ((candidate (modulo (* current-seed multiplier)
                                     modulus)))
              (if (zero? candidate)
                  modulus
                  candidate))))
         (coerce
          (lambda (proposed-seed)
            (if (integer? proposed-seed)
                (- modulus (modulo proposed-seed modulus))
                19860617))))  ;; an arbitrarily chosen birthday
  (lambda (initial-seed)
    (let ((seed (coerce initial-seed)))
      (lambda args
        (cond ((null? args)
               (set! seed (apply-congruence seed))
               (/ (- modulus seed) modulus))
              ((null? (cdr args))
               (let* ((proposed-top
                       (ceiling (abs (car args))))
                      (exact-top
                       (if (inexact? proposed-top)
                           (inexact->exact proposed-top)
                           proposed-top))
                      (top
                       (if (zero? exact-top)
                           1
                           exact-top)))
                 (set! seed (apply-congruence seed))
                 (inexact->exact (floor (* top (/ seed modulus))))))
              ((eq? (cadr args) 'reset)
               (set! seed (coerce (car args))))
              (else
               (display "random: unrecognized message")
               (newline))))))))

(define random (random-maker 19781116))

<eval>(random 7)</eval>

Buffons Nadel

Ausblick

Genetische Programmierung Gruppe 2

lalala Schwarmalgorithmen lalala

Quellen

http://www.riskglossary.com/link/monte_carlo_method.htm

Probabilistische Algorithmen SS09

Inhaltsverzeichnis

Einführung in proballistische Algorithmen

Algorithmen

Las-Vegas-Algorithmus

Monte-Carlo-Algorithmus Gruppe 2

Multimengenvergleiche

Buffons Nadel

Ausblick

Genetische Programmierung Gruppe 2

Quellen

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