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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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0111 · Oct 202119922001200920172026
3 results for “ell-infinity”
Asymptotic Behavior of Adversarial Training Estimator under ℓ∞\ell_\infty-Perturbationmath.ST

The paper studies the asymptotic behavior of adversarial training under ℓ∞\ell_\infty-perturbation.

problem Theoretical guarantees for sparsity-recovery in adversarial training.
method Investigation of the asymptotic distribution of the adversarial training estimator in generalized linear models.
result The asymptotic distribution of the adversarial training estimator under ℓ∞\ell_\infty-perturbation could have a positive probability mass at 0 when the true parameter is 0.
Adversarial TrainingAsymptotic BehaviorSparsity-RecoveryEll Infinity PerturbationGeneralized Linear Model
2024-01-27abs ↗pdf ↗
ℓ∞\ell_{\infty}-Bounds of the MLE in the BTL Model under General Comparison Graphsmath.ST

The paper derives upper bounds on the MLE error for BTL model under general graphs.

problem Estimating the MLE of BTL model parameters with ℓ∞\ell_{\infty}-loss under general graphs.
method Novel upper bounds on ℓ∞\ell_{\infty} estimation error dependent on algebraic connectivity and graph topology.
result Upper bounds on ℓ∞\ell_{\infty} error are sharp and match minimax lower bounds under certain graph topologies.
Bradley-Terry-Luce modelmaximum likelihood estimatorell-infinity lossalgebraic connectivitytournament design
2021-10-20abs ↗pdf ↗