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Everything about Las Vegas algorithm

Type of randomized algorithm

In computing, a Las Vegas algorithm is a randomized algorithm that always gives correct results; that is, it always produces the correct result or it informs about the failure. However, the runtime of a Las Vegas algorithm differs depending on the input. The usual definition of a Las Vegas algorithm includes the restriction that the expected runtime be finite, where the expectation is carried out over the space of random information, or entropy, used in the algorithm. An alternative definition requires that a Las Vegas algorithm always terminates, but may output a symbol not part of the solution space to indicate failure in finding a solution. The nature of Las Vegas algorithms makes them suitable in situations where the number of possible solutions is limited, and where verifying the correctness of a candidate solution is relatively easy while finding a solution is complex. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Las Vegas algorithmA 5-minute orientation
  2. Skim a recent paper: Las Vegas algorithm in the prediction of intrinsic solubility of drug-like compoundsInfluential work since 2022
  3. Pick up a classic book: Applied algebra, algebraic algorithms and error-correcting codesThe most-reprinted book on the subject
  4. Read the landmark paper: A fast las vegas algorithm for triangulating a simple polygonCited 37 times
  5. Go sideways: Randomized algorithmA closely related topic
  6. Go sideways: Monte Carlo algorithmA closely related topic

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🆕 Influential since 2022

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