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Record W2798901099 · doi:10.1017/9781107588493.008

Non-linear Optimization

2023· book-chapter· en· W2798901099 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

VenueCambridge University Press eBooks · 2023
Typebook-chapter
Languageen
FieldComputer Science
TopicNeural Networks and Applications
Canadian institutionsUniversity of British Columbia
Fundersnot available
KeywordsMaxima and minimaConjugate gradient methodRandomnessGradient descentMathematical optimizationSaddle pointStochastic gradient descentOptimization problemStochastic optimizationDifferential evolutionNonlinear conjugate gradient methodDescent (aeronautics)Computer scienceMeta-optimizationMathematicsArtificial intelligenceArtificial neural network

Abstract

fetched live from OpenAlex

Many machine learning methods require non-linear optimization, performed by the backward propagation of model errors, with the process complicated by the presence of multiple minima and saddle points. Numerous gradient descent algorithms are available for optimization, including stochastic gradient descent, conjugate gradient, quasi-Newton and non-linear least squares such as Levenberg-Marquardt. In contrast to deterministic optimization, stochastic optimization methods repeatedly introduce randomness during the search process to avoid getting trapped in a local minimum. Evolutionary algorithms, borrowing concepts from evolution to solve optimization problems, include genetic algorithm and differential evolution.

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)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.952
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
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 science0.0010.001
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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 head0.028
GPT teacher head0.209
Teacher spread0.180 · 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