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Minimax test and neyman-pearson lemma for capacities

17 Pith papers cite this work. Polarity classification is still indexing.

17 Pith papers citing it

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Ordering Stochastic Block Models via prior transitivity

stat.ME · 2026-06-20 · unverdicted · novelty 7.0

Introduces TSBM, a new Bayesian model for directed networks that enforces ordered blocks via transitivity-inducing priors on directional imbalance and jointly infers block count with an age-ordered partition prior.

Fast Computation of Free-Support Wasserstein Medians

stat.CO · 2026-06-17 · unverdicted · novelty 7.0 · 2 refs

Direct fixed-weight solver for free-support Wasserstein medians relocates atoms using OT barycentric projections and inverse-distance weights, achieving monotone descent on smoothed objectives with fewer subproblems than nested Weiszfeld baselines.

Rigorous Security Proofs for Practical Quantum Key Distribution

quant-ph · 2026-04-23 · unverdicted · novelty 7.0

Rigorous security proofs for variable-length QKD, phase-error bounding with imperfect detectors, marginal-constrained entropy accumulation, and authentication reductions place practical QKD on firmer mathematical ground.

High-Dimensional Private Linear Regression with Optimal Rates

stat.ML · 2025-05-22 · accept · novelty 7.0

DP-GD achieves minimax optimal non-asymptotic risk O(γ + γ²/ρ²) for well-conditioned high-dimensional data and power-law scaling for ill-conditioned power-law spectra, with the exponent depending on the privacy parameter ρ.

The Nonparametric Kiefer-Weiss Problem

math.ST · 2026-05-29 · unverdicted · novelty 6.0

The nonparametric Kiefer-Weiss problem is solved by deriving an optimal stopping policy based on a two-dimensional statistic (likelihood ratio plus expected remaining sample size) whose randomization rule maps the likelihood ratio to an integer sample size.

L-Estimation of Population Quantiles Using Ranked Set Sampling

stat.ME · 2026-05-02 · unverdicted · novelty 6.0

New RSS-adapted L-estimators for quantiles, including a scalable rank-stratum component version, deliver efficiency gains over standard empirical estimators in simulations and a real NHANES application.

Auditing Combinatorial Randomness from Finite Transcripts

cs.IT · 2026-06-20 · unverdicted · novelty 5.0

Develops generator-agnostic audits for combinatorial uniformity on the hypersimplex using marginal chi-square, pair maxima, serial overlap, anchored-box discrepancy and low-dimensional geometry, with a finite-witness guarantee.

Density Evolution: A Multiscale View of Density Estimation

math.ST · 2026-05-29 · unverdicted · novelty 5.0 · 2 refs

A review reframing density estimation as 'density evolution' across scales, linking kernel smoothing to heat flow, mixtures to compression, and topology to level sets, while stating three structural results on modes, Gaussian semigroups, and log-concavity.

Modeling Insurance Claims using Bayesian Nonparametric Regression

stat.ME · 2023-11-20 · unverdicted · novelty 4.0 · 2 refs

Bayesian nonparametric mixtures of Poisson and normal regressions using DP and PY priors are fitted via MCMC to predict claims frequency and severity, with an illustration on French motor insurance data.

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