Establishes an empirical concentration inequality for the empirical CDF of a functional on regenerative Markov chains, with data-dependent leading term and lower-order convergence bound.
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Random Walks and Intersection Local Time
12 Pith papers cite this work. Polarity classification is still indexing.
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Introduces downward conditional monotonicity for MMPP to obtain stochastic domination bounds that determine survival and extinction regimes for contact processes in finite-state random environments via QBD eigenvalue comparison.
Presents a quantum soft PCA framework with Fermi-Dirac filter for principal subspace scoring without eigenvector recovery, claiming dimension-independent sample complexity O(η^{-2}).
DMW relaxes and lower-bounds GW by transporting distributions of sampled distance matrices, with finite-sample bounds depending on intrinsic dimension and sliced/multi-scale variants for computation.
Establishes a CLT for the competitive range of the k-th walk among N independent β-stable domain random walks in d/β ∈ [1,3/2), with an emerging competition term.
Extends Stein's method to symmetric matrix normal distributions with a Stein characterization, semigroup solution, and Wasserstein bound for Wishart approximation.
Coupling-Grouped XY-QAOA enables joint anomaly-feature selection via a constraint-preserving grouped-angle QAOA variant, achieving 45.9-61.3% circuit depth reduction and larger feasible executions (64 qubits at p=2) on IBM Heron hardware compared to standard approaches.
Proves convergence of critical multitype Bellman-Harris process with one infinite-mean lifetime to Poisson random measure concentrated on that type under space-lifetime condition ρ > γ/β.
Derives closed-form optimal counterfactually fair regressor via barycentric quantile map and proves Õ(n^{-1/3}) finite-sample fairness and risk bounds for discretized post-processing under mild assumptions.
Finite post-peak detector-frame windows for GW250114 yield a stable common-remnant Kerr interpretation after calibration on synthetic waveforms and robustness checks.
A spectral generalized covariance measure enables conditional independence testing on non-Euclidean data with uniform bootstrap validity and power guarantees under doubly robust conditions.
citing papers explorer
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A data-dependent DKW inequality for regenerative Markov chains
Establishes an empirical concentration inequality for the empirical CDF of a functional on regenerative Markov chains, with data-dependent leading term and lower-order convergence bound.
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Downward conditional monotonicity gives survival and extinction for contact processes in random environments
Introduces downward conditional monotonicity for MMPP to obtain stochastic domination bounds that determine survival and extinction regimes for contact processes in finite-state random environments via QBD eigenvalue comparison.
-
Quantum principal component analysis without eigenvector recovery
Presents a quantum soft PCA framework with Fermi-Dirac filter for principal subspace scoring without eigenvector recovery, claiming dimension-independent sample complexity O(η^{-2}).
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Distance-Matrix Wasserstein Statistics for Scalable Gromov--Wasserstein Learning
DMW relaxes and lower-bounds GW by transporting distributions of sampled distance matrices, with finite-sample bounds depending on intrinsic dimension and sliced/multi-scale variants for computation.
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On the range of competing random walks
Establishes a CLT for the competitive range of the k-th walk among N independent β-stable domain random walks in d/β ∈ [1,3/2), with an emerging competition term.
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Stein's method for the symmetric matrix normal distribution with an application to the approximation of the Wishart law
Extends Stein's method to symmetric matrix normal distributions with a Stein characterization, semigroup solution, and Wasserstein bound for Wishart approximation.
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Coupling-Grouped XY-QAOA for Joint Anomaly-Feature Selection
Coupling-Grouped XY-QAOA enables joint anomaly-feature selection via a constraint-preserving grouped-angle QAOA variant, achieving 45.9-61.3% circuit depth reduction and larger feasible executions (64 qubits at p=2) on IBM Heron hardware compared to standard approaches.
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Convergence of a Critical Multitype Bellman--Harris Process with One Infinite-Mean Lifetime
Proves convergence of critical multitype Bellman-Harris process with one infinite-mean lifetime to Poisson random measure concentrated on that type under space-lifetime condition ρ > γ/β.
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Counterfactually Fair Regression via Optimal Transport
Derives closed-form optimal counterfactually fair regressor via barycentric quantile map and proves Õ(n^{-1/3}) finite-sample fairness and risk bounds for discretized post-processing under mild assumptions.
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Deterministic Trust Regions for Finite-Window Black-Hole Spectroscopy in GW250114
Finite post-peak detector-frame windows for GW250114 yield a stable common-remnant Kerr interpretation after calibration on synthetic waveforms and robustness checks.
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Testing Conditional Independence via the Spectral Generalized Covariance Measure: Beyond Euclidean Data
A spectral generalized covariance measure enables conditional independence testing on non-Euclidean data with uniform bootstrap validity and power guarantees under doubly robust conditions.
- $L^{\alpha-1}$ distance between two one-dimensional stochastic differential equations with drift terms driven by a symmetric $\alpha$-stable process