Necessary and sufficient conditions are given for convergence to a unique IPVT on proper pointed measured metric spaces, with proofs for higher-rank symmetric spaces and Diestel-Leader graphs showing parameter independence and distinguishable cells.
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13 Pith papers cite this work. Polarity classification is still indexing.
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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.
Proposes a scale-calibrated median-of-means estimator for robust aggregation of distributed PCA estimates on the product of Euclidean space and Grassmann manifold.
Primitive sequences obtained from iterated antiderivatives of the CDF are homeomorphic to probability measures on compact intervals, equivalent to factorial-rescaled moments of the reflected variable, and yield sharp bounds on functionals when the first m terms are fixed.
Total variation between products of measures is at least a universal constant times that between the averaged measures' products.
QATS is a new polylog-time approximate decoding procedure for HMMs that builds admissible state sequences by locally maximizing likelihoods over paths with at most three segments via adaptive ternary segmentation and cumulative sum storage.
Defines the H_α family of balance indices for phylogenetic networks, establishes structural properties including a grafting property, and analyzes minima, maxima, and distributions under random models such as Yule and PDA.
Experimental characterization of a turbulent boundary layer's response to a plasma-actuated synthetic large-scale structure reveals correlations between induced near-wall motions and phase-dependent modulation of turbulence production and transport.
Derives closed-form expressions for the score and observed Fisher information matrix in a noisy Gaussian random walk HMM via Oakes' identity and forward-backward algorithm.
In binary unbiased local coordination games, average disagreement ≤ ε implies the graph is (O(ε log(1/ε)), r)-amenable.
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.
Prospective Learning with Control proves ERM asymptotically achieves the Bayes optimal policy in non-stationary reset-free settings and outperforms time-aware RL on a 1D foraging benchmark.
citing papers explorer
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Convergence towards Ideal Poisson--Voronoi tessellations with a focus on Diestel--Leader graphs
Necessary and sufficient conditions are given for convergence to a unique IPVT on proper pointed measured metric spaces, with proofs for higher-rank symmetric spaces and Diestel-Leader graphs showing parameter independence and distinguishable cells.
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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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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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Primitive Sequences for Probability Measures on Compact Intervals
Primitive sequences obtained from iterated antiderivatives of the CDF are homeomorphic to probability measures on compact intervals, equivalent to factorial-rescaled moments of the reflected variable, and yield sharp bounds on functionals when the first m terms are fixed.
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A homogenization principle for total variation
Total variation between products of measures is at least a universal constant times that between the averaged measures' products.
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Quick Adaptive Ternary Segmentation: An Efficient Decoding Procedure For Hidden Markov Models
QATS is a new polylog-time approximate decoding procedure for HMMs that builds admissible state sequences by locally maximizing likelihoods over paths with at most three segments via adaptive ternary segmentation and cumulative sum storage.
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A parameterized family of balance indices for phylogenetic networks
Defines the H_α family of balance indices for phylogenetic networks, establishes structural properties including a grafting property, and analyzes minima, maxima, and distributions under random models such as Yule and PDA.
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Response of a Turbulent Boundary Layer to a Synthetic Periodic Large-Scale Structure
Experimental characterization of a turbulent boundary layer's response to a plasma-actuated synthetic large-scale structure reveals correlations between induced near-wall motions and phase-dependent modulation of turbulence production and transport.
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Observed Fisher Information in hidden Markov models - Application to a noisy Gaussian random walk
Derives closed-form expressions for the score and observed Fisher information matrix in a noisy Gaussian random walk HMM via Oakes' identity and forward-backward algorithm.
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Improved Amenability Bounds for Local Coordination Games
In binary unbiased local coordination games, average disagreement ≤ ε implies the graph is (O(ε log(1/ε)), r)-amenable.
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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.
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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.
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Optimal control of the future via prospective learning with control
Prospective Learning with Control proves ERM asymptotically achieves the Bayes optimal policy in non-stationary reset-free settings and outperforms time-aware RL on a 1D foraging benchmark.