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Record W4236811154 · doi:10.4171/owr/2014/33

Calculus of Variations

2015· article· en· W4236811154 on OpenAlexaff
Simon Brendle, Camillo De Lellis, Robert L. Jerrard

Bibliographic record

VenueOberwolfach Reports · 2015
Typearticle
Languageen
FieldEngineering
TopicAdvanced Numerical Analysis Techniques
Canadian institutionsUniversity of Toronto
Fundersnot available
KeywordsCalculus of variationsGaussian curvatureDifferential geometryCurvatureCalculus (dental)Metric (unit)MathematicsDifferential calculusVector calculusNonlinear systemDomain (mathematical analysis)Dynamical systems theoryApplied mathematicsComputer scienceMathematical analysisGeometryPhysics

Abstract

fetched live from OpenAlex

The Calculus of Variations is at the same time a classical subject, with long-standing open questions which have generated deep discoveries in recent decades, and a modern subject in which new types of questions arise, driven by mathematical developments and by emergent applications. This workshop balanced the traditional variational problems with novel questions with origins in diverse areas, such as economic models of the academic labor market, or differential geometry in metric emasure spaces. In particular, the meeting featured presentations on regularity theory, existence, and classification questions related to minimal surfaces, surfaces of prescribed Gaussian curvature, and mean curvature flow; domain optimization problems; nonlinear elasticity; calibrated geometries; variational formulations of certain dynamical problems; and stochastic variational problems.

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)0.005
metaresearch head score (Gemma)0.007
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Other · Consensus signal: none
Teacher disagreement score0.014
Threshold uncertainty score0.047

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0050.007
Meta-epidemiology (narrow)0.0020.000
Meta-epidemiology (broad)0.0020.002
Bibliometrics0.0030.003
Science and technology studies0.0020.005
Scholarly communication0.0050.005
Open science0.0020.004
Research integrity0.0010.006
Insufficient payload (model declined to judge)0.0140.004

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 head0.018
GPT teacher head0.242
Teacher spread0.224 · 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 designNot applicable
Domainnot available
GenreOther

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
Published2015
Admission routes1
Has abstractyes

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