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Record W2626753618 · doi:10.1007/978-3-319-98684-5_1

Searching for Hyperbolicity

2017· preprint· en· W2626753618 on OpenAlexfundno aff
Ruth Charney

Bibliographic record

VenueAssociation for Women in Mathematics series · 2017
Typepreprint
Languageen
FieldMathematics
TopicGeometric and Algebraic Topology
Canadian institutionsnot available
FundersAir Force Institute of TechnologyUniversity of Colorado DenverUniversity of California, Santa BarbaraCollege of Engineering, Michigan State UniversityUniwersytet Marii Curie-SkłodowskiejUniversidad de MurciaUniversität WienÉcole Polytechnique Fédérale de LausanneGeorge Fox UniversityUniversity of South AlabamaDivision of Mathematical SciencesKent State UniversitySaint Louis UniversityYoungstown State UniversityPacific Northwest National LaboratoryUniversità degli Studi di SalernoIdaho State UniversitySwarthmore CollegeCollege of CharlestonWest Virginia UniversityIowa State UniversityUniversity of South FloridaUniversity of AkronGeorgia State UniversityUniversity of Louisiana at LafayetteCoastal Carolina UniversityWellesley CollegeUniversity of CincinnatiPennsylvania State UniversityClemson UniversityGrand Valley State UniversityUniversity of DenverUniversity of Nebraska-LincolnUniversity of Notre DameSonoma State UniversityUniversity of WyomingLouisiana State UniversityUniversity of Southern CaliforniaUniversity of OklahomaUniversity of PittsburghUniversity of Central FloridaUniversity of WashingtonUniversity of California, IrvineUniversity of DaytonMichigan State UniversityAuburn UniversitySouth Dakota State UniversityWilliams CollegeBaylor UniversityUniversity of RochesterVirginia Polytechnic Institute and State UniversityUniversity of CanterburyCase Western Reserve UniversityUniversity of MinnesotaWichita State UniversityCity University of New YorkOhio State UniversityWake Forest UniversityUniversity of PennsylvaniaRice UniversityGeorgia Institute of TechnologySan Diego State UniversityUniversity of TorontoWashington and Lee UniversityTechnische Universität KaiserslauternPortland State UniversityTulane UniversityArizona State UniversityUniversity of OregonBrown UniversityUniversity of Wisconsin-MadisonWestern Carolina UniversityOregon State UniversityUniversity of MiamiCalifornia State University, FresnoEastern Kentucky UniversityU.S. Naval AcademyUniversity of North Carolina at Chapel HillWayne State UniversityUniversity of California, San DiegoUniversity of Southern MississippiUniversity of WaterlooBrigham Young UniversityRowan UniversityTemple UniversityPurdue UniversityOhio Wesleyan UniversityGeorgia Southern UniversityPitzer CollegeVanderbilt UniversityCentral Washington UniversityMassachusetts Institute of Technology
KeywordsTheme (computing)Focus (optics)Field (mathematics)Computer scienceSociologyEpistemologyPure mathematicsMathematicsPhilosophyPhysicsWorld Wide WebOptics

Abstract

fetched live from OpenAlex

This paper is an expanded version of a talk given at the AWM Research Symposium 2017. It is intended as a gentle introduction to geometric group theory with a focus on the notion of hyperbolicity, a theme that has inspired the field from its inception to current-day research. The last section includes a discussion of some current approaches to extending techniques from hyperbolic groups to more general classes of groups.

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)0.001
metaresearch head score (Gemma)0.006
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: none
Teacher disagreement score0.032
Threshold uncertainty score0.109

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.006
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0010.001
Science and technology studies0.0030.004
Scholarly communication0.0050.008
Open science0.0010.003
Research integrity0.0010.003
Insufficient payload (model declined to judge)0.0320.005

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 head0.066
GPT teacher head0.356
Teacher spread0.290 · 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

Citations0
Published2017
Admission routes1
Has abstractyes

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