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.
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10 Pith papers cite this work, alongside 1,001 external citations. Polarity classification is still indexing.
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Wall-clock leaky-integrator monitors on variable-cadence agent streams exhibit a sharp cliff between constant-alarm and silent regimes, while sample-time CUSUM monitors remain invariant; transition detection avoids the trap.
Derives matching lower and upper bounds on minimal detectable intra-block drift amplitude δ_min(n,α,β)=Θ(n^{-1/2}) for finite-key E91-type QKD using minimax hypothesis testing and CUSUM statistic.
Proposes a scale-calibrated median-of-means estimator for robust aggregation of distributed PCA estimates on the product of Euclidean space and Grassmann manifold.
The paper defines robustness radius and contamination need for Bayes acts under prior perturbations via linear programming, then builds cost-adjusted selection paths that transition between stability and cost regimes.
The profile maximum likelihood estimator for the location in anisotropic hyperbolic wrapped normal models is strongly consistent, asymptotically normal, and attains the Hájek-Le Cam minimax lower bound under squared geodesic loss.
Optimal trans-model MCMC mixing requires proposing high-posterior models and posterior-matched parameters; maximum jump probability is necessary but not always sufficient for maximum efficiency.
Prior information in Gaussian graphical models is converted to an effective sample size, with two Bayes-factor and information-ratio sample-size planning procedures.
Joint location-scale minimization for geometric medians on product manifolds degenerates to marginal medians, and three new scale-selection methods restore identifiability with asymptotic guarantees.
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.
citing papers explorer
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Fast Computation of Free-Support Wasserstein Medians
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.
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Bistable by Construction: Wall-Clock-Calibrated State Monitors Have No Moment-Detection Regime at Agent Cadence
Wall-clock leaky-integrator monitors on variable-cadence agent streams exhibit a sharp cliff between constant-alarm and silent regimes, while sample-time CUSUM monitors remain invariant; transition detection avoids the trap.
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Detectability Limits for Intra-Block Temporal Drift in Finite-Key Entanglement-Based QKD
Derives matching lower and upper bounds on minimal detectable intra-block drift amplitude δ_min(n,α,β)=Θ(n^{-1/2}) for finite-key E91-type QKD using minimax hypothesis testing and CUSUM statistic.
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Scale-Calibrated Median-of-Means for Robust Distributed Principal Component Analysis
Proposes a scale-calibrated median-of-means estimator for robust aggregation of distributed PCA estimates on the product of Euclidean space and Grassmann manifold.
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Robust Bayes Acts under Prior Perturbations: Contamination, Stability, and Selection Paths
The paper defines robustness radius and contamination need for Bayes acts under prior perturbations via linear programming, then builds cost-adjusted selection paths that transition between stability and cost regimes.
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Profile Likelihood Inference for Anisotropic Hyperbolic Wrapped Normal Models on Hyperbolic Space
The profile maximum likelihood estimator for the location in anisotropic hyperbolic wrapped normal models is strongly consistent, asymptotically normal, and attains the Hájek-Le Cam minimax lower bound under squared geodesic loss.
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Mixing efficiency of trans-model Markov chain Monte Carlo algorithms with applications in Bayesian phylogenetics
Optimal trans-model MCMC mixing requires proposing high-posterior models and posterior-matched parameters; maximum jump probability is necessary but not always sufficient for maximum efficiency.
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What is your Prior Worth? Effective Sample Size and Sample Size Planning for Gaussian Graphical Models
Prior information in Gaussian graphical models is converted to an effective sample size, with two Bayes-factor and information-ratio sample-size planning procedures.
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Scale selection for geometric medians on product manifolds
Joint location-scale minimization for geometric medians on product manifolds degenerates to marginal medians, and three new scale-selection methods restore identifiability with asymptotic guarantees.
-
Density Evolution: A Multiscale View of Density Estimation
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.