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Record W1926490927 · doi:10.1017/cbo9780511808241.023

Randomized Algorithms

2008· book-chapter· en· W1926490927 on OpenAlexaff
Jeff Edmonds

Bibliographic record

VenueCambridge University Press eBooks · 2008
Typebook-chapter
Languageen
FieldComputer Science
TopicAlgorithms and Data Compression
Canadian institutionsYork University
Fundersnot available
KeywordsComputer scienceAlgorithm

Abstract

fetched live from OpenAlex

For some computational problems, allowing the algorithm to flip coins (i.e., use a random number generator) makes for a simpler, faster, easier-to-analyze algorithm. The following are the three main reasons. Hiding the Worst Cases from the Adversary: The running time of a randomized algorithms is analyzed in a different way than that of a deterministic algorithm. At times, this way is fairer and more in line with how the algorithm actually performs in practice. Suppose, for example, that a deterministic algorithm quickly gives the correct answer on most input instances, yet is very slow or gives the wrong answer on a few instances. Its running time and its correctness are generally measured to be those on these worst case instances. A randomized algorithm might also sometimes be very slow or give the wrong answer. (See the discussion of quick sort, Section 9.1). However, we accept this, as long as on every input instance, the probability of doing so (over the choice of random coins) is small. Probabilistic Tools: The field of probabilistic analysis offers many useful techniques and lemmas that can make the analysis of the algorithm simple and elegant. Solution Has a Random Structure: When the solution that we are attempting to construct has a random structure, a good way to construct it is to simply flip coins to decide how to build each part. Sometimes we are then able to prove that with high probability the solution obtained this way has better properties than any solution we know how to construct deterministically.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.004
metaresearch head score (Gemma)0.014
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.041
Threshold uncertainty score0.136

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0040.014
Meta-epidemiology (narrow)0.0020.001
Meta-epidemiology (broad)0.0020.002
Bibliometrics0.0020.003
Science and technology studies0.0020.002
Scholarly communication0.0050.006
Open science0.0040.004
Research integrity0.0020.006
Insufficient payload (model declined to judge)0.0410.019

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.025
GPT teacher head0.203
Teacher spread0.178 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreMethods

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations5
Published2008
Admission routes1
Has abstractyes

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