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Record W4415690367 · doi:10.1214/25-ejs2464

Differentially private projection-depth-based medians

2025· article· W4415690367 on OpenAlex
Kelly Ramsay, Dylan Spicker

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.
fundA Canadian funder is recorded on the work.

Bibliographic record

VenueElectronic Journal of Statistics · 2025
Typearticle
Language
FieldComputer Science
TopicPrivacy-Preserving Technologies in Data
Canadian institutionsUniversity of New BrunswickYork University
FundersNatural Sciences and Engineering Research Council of Canada
KeywordsEstimatorGaussianUpper and lower boundsPopulationMoment (physics)Standard deviationSample mean and sample covarianceOrder statisticExponential function

Abstract

fetched live from OpenAlex

We develop a class of (ϵ,δ)-differentially private projection-depth-based medians using the propose-test-release (PTR) and exponential mechanisms. For this class of projection-depth-based medians, under general conditions on the input parameters and the population measure, (e.g. we do not assume any moment bounds), we quantify the probability the test in PTR fails, as well as the cost of privacy via finite sample deviation bounds. Next, we show that when some observations are contaminated, a private projection-depth-based median does not break down if its input location and scale estimators do not break down. We demonstrate our main results on two types of projection-depth-based medians: the canonical projection-depth-based median, as well as on projection-depth-based medians derived from trimmed estimators. We consider the Gaussian and poly-Cauchy settings. In the Gaussian setting, we show that the resulting deviation bound matches the known lower bound for private Gaussian mean estimation. Lastly, we present results on general PTR mechanisms and a uniform concentration result on the projected spacings of order statistics, which may be of general interest.

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)0.002
metaresearch head score (Gemma)0.030
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMetaresearch, Meta-epidemiology (narrow), Open science, Research integrity
Consensus categoriesOpen science
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 score0.580
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.030
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0010.002
Science and technology studies0.0000.000
Scholarly communication0.0000.001
Open science0.0270.015
Research integrity0.0000.003
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 head0.015
GPT teacher head0.278
Teacher spread0.264 · 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