MétaCan
Menu
Back to cohort
Record W7038233431

The Gaussian Process Density Sampler

2009· article· en· W7038233431 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.

fundA Canadian funder is recorded on the work.
no affNo Canadian affiliation: this work is invisible to an affiliation-only frame.
No Canadian affiliation. An affiliation-only frame, the usual design, would never have seen this work. It is one of the works that make the case for inverting the frame.

Bibliographic record

VenueEdinburgh Research Explorer (University of Edinburgh) · 2009
Typearticle
Languageen
FieldAgricultural and Biological Sciences
TopicSensory Analysis and Statistical Methods
Canadian institutionsnot available
FundersNational Institutes of HealthGates Cambridge TrustCambridge TrustGovernment of Canada
KeywordsDensity estimationGaussian processMarkov chain Monte CarloGaussianProbability density functionImportance samplingPosterior probabilitySlice samplingGaussian random fieldBayesian inference
DOInot available

Abstract

fetched live from OpenAlex

The Gaussian process is a useful prior on functions for Bayesian regression and classification. Density estimation with a Gaussian process prior has been difficult, however, due to the requirements that densities be nonnegative and integrate to unity. The statistics community has explored the use of a logistic Gaussian process for density estimation, relying on various methods of approximating the normalization constant (e.g. [1, 4]). We propose the Gaussian Process Density Sampler (GPDS), a nonparametric, practical and consistent method of constructing a Markov chain on the properties of a posterior distribution on an unknown density, without approximation. The GPDS is composed of four parts. The first part is a GP-based prior on density functions. We develop an exchangeable procedure for generating exact samples in data space from a common density drawn from this prior. Second, we show that this prior allows practical inference of specific values of the unnormalized density, using the recently-developed technique of exchange sampling [3]. Third, we extend this MCMC algorithm to draw samples from the predictive distribution on data space that arises when the posterior on density functions is integrated out. This is our primary result. Finally, we demonstrate a sampling procedure for inference of the Gaussian process hyperparameters.

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)0.003
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesScience and technology studies, Insufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Other design · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.708
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0030.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0020.001
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0050.000

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 head0.139
GPT teacher head0.352
Teacher spread0.213 · 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