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Record W3193303729 · doi:10.5539/ijsp.v10n5p31

Simulation-Based Optimization for Convex Functions Over Discrete Sets

2021· article· en· W3193303729 on OpenAlexvenueno aff
Eunji Lim

Bibliographic record

VenueInternational Journal of Statistics and Probability · 2021
Typearticle
Languageen
FieldDecision Sciences
TopicSimulation Techniques and Applications
Canadian institutionsnot available
Fundersnot available
KeywordsMathematicsRegular polygonCombinatoricsPoint (geometry)Convergence (economics)Convex functionSet (abstract data type)Discrete mathematicsApplied mathematicsComputer scienceGeometry

Abstract

fetched live from OpenAlex

We propose a new iterative algorithm for finding a minimum point of f_*:X \subset \mathbb{R}^d \rightarrow \mathbb{R}, when f_* is known to be convex, but only noisy observations of f_*(\textbf{x}) are available at  \textbf{x} \in X for a finite set X. At each iteration of the proposed algorithm, we estimate the probability of each point \textbf{x} \in X being a minimum point of f_* using the fact that f_* is convex, and sample r points from X according  to these probabilities. We then make observations at the sampled points and use these observations to update the probability of each point \textbf{x} \in X  being a minimum point of f_*. Therefore, the proposed algorithm not only estimates the minimum point of f_* but also provides the probability of each point in X being a minimum point of f_*. Numerical results indicate the proposed algorithm converges to a minimum point of f_* as the number of iterations increases and shows fast convergence, especially in the early stage of the iterations.

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 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)0.001
metaresearch head score (Gemma)0.006
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.752
Threshold uncertainty score0.780

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.006
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0010.000

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 head0.078
GPT teacher head0.426
Teacher spread0.348 · 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 teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designSimulation or modeling
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

Citations0
Published2021
Admission routes1
Has abstractyes

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