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Record W1917528016

Contextual Multi-Armed Bandits

2010· article· en· W1917528016 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldDecision Sciences
TopicAdvanced Bandit Algorithms Research
Canadian institutionsUniversity of AlbertaUniversity of Toronto
Fundersnot available
KeywordsRegretStochastic gameMulti-armed banditContext (archaeology)Metric spaceMetric (unit)Computer scienceSpace (punctuation)Lipschitz continuityAction (physics)MathematicsThompson samplingFunction (biology)Theoretical computer scienceMathematical optimizationCombinatoricsDiscrete mathematicsMathematical economicsMachine learning
DOInot available

Abstract

fetched live from OpenAlex

We study contextual multi-armed bandit prob-lems where the context comes from a metric space and the payoff satisfies a Lipschitz condi-tion with respect to the metric. Abstractly, a con-textual multi-armed bandit problem models a sit-uation where, in a sequence of independent trials, an online algorithm chooses, based on a given context (side information), an action from a set of possible actions so as to maximize the total pay-off of the chosen actions. The payoff depends on both the action chosen and the context. In con-trast, context-free multi-armed bandit problems, a focus of much previous research, model situa-tions where no side information is available and the payoff depends only on the action chosen. Our problem is motivated by sponsored web search, where the task is to display ads to a user of an Internet search engine based on her search query so as to maximize the click-through rate (CTR) of the ads displayed. We cast this prob-lem as a contextual multi-armed bandit problem where queries and ads form metric spaces and the payoff function is Lipschitz with respect to both the metrics. For any > 0 we present an algorithm with regret O(T a+b+1 a+b+2+) where a, b are the covering dimensions of the query space and the ad space respectively. We prove a lower bound Ω(T ã+b̃+1 ã+b̃+2) for the regret of any algo-rithm where ã, b ̃ are packing dimensions of the query spaces and the ad space respectively. For finite spaces or convex bounded subsets of Eu-clidean spaces, this gives an almost matching up-per and lower bound.

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.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.009
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMetaresearch, Insufficient payload (model declined to judge)
Consensus categoriesInsufficient payload (model declined to judge)
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.794
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.009
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0120.007

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 head0.213
GPT teacher head0.504
Teacher spread0.291 · 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

Quick stats

Citations164
Published2010
Admission routes1
Has abstractyes

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