Tootfinder

In which I spelunk through the low-level mechanics of traversing Nondeterministic Finite Automata. ε-closures FTW! https://www.tbray.org/ongoing/When/202x/2025/07/07/Epsilon-Wrangling
I’m sure that the world’s population contains dozens of people w…

QRS: Epsilon Wrangling

Epsilon-Minimax Solutions of Statistical Decision Problems
Andr\'es Aradillas Fern\'andez, Jos\'e Blanchet, Jos\'e Luis Montiel Olea, Chen Qiu, J\"org Stoye, Lezhi Tan
https://arxiv.org/abs/2509.08107

Epsilon-Minimax Solutions of Statistical Decision Problems
A decision rule is epsilon-minimax if it is minimax up to an additive factor epsilon. We present an algorithm for provably obtaining epsilon-minimax solutions of statistical decision problems. We are interested in problems where the statistician chooses randomly among I decision rules. The minimax solution of these problems admits a convex programming representation over the (I-1)-simplex. Our suggested algorithm is a well-known mirror subgradient descent routine, designed to approximately solv…

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Polyrhythmics:
🎵 Cake Lady
#Polyrhythmics
https://open.spotify.com/track/4ebc94YIl9lLO9CwJ0lHvc

Ik kan me niet herinneren dat ik in deze prachtige serie over eenzame uitvaarten ooit een eenzamer mens ben tegengekomen dan deze meneer H lPas toen een monteur melding maakte van een stoffige janboel, kwam meneer H. in beeld bij de instanties | de Volkskrant
https://archive.ph/eaFXL

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(\epsilon^{-4/7})$ Second-Order Oracle Complexity
Lesi Chen, Chengchang Liu, Luo Luo, Jingzhao Zhang
https://arxiv.org/abs/2506.08362

Solving Convex-Concave Problems with $\tilde{\mathcal{O}}(ε^{-4/7})$ Second-Order Oracle Complexity
Previous algorithms can solve convex-concave minimax problems $\min_{x \in \mathcal{X}} \max_{y \in \mathcal{Y}} f(x,y)$ with $\mathcal{O}(ε^{-2/3})$ second-order oracle calls using Newton-type methods. This result has been speculated to be optimal because the upper bound is achieved by a natural generalization of the optimal first-order method. In this work, we show an improved upper bound of $\tilde{\mathcal{O}}(ε^{-4/7})$ by generalizing the optimal second-order method for convex optimizat…

Stochastic Trace Optimization of Parameter Dependent Matrices Based on Statistical Learning Theory
Arvind K. Saibaba, Ilse C. F. Ipsen
https://arxiv.org/abs/2508.05764 https://

Stochastic Trace Optimization of Parameter Dependent Matrices Based on Statistical Learning Theory
We consider matrices $\boldsymbol{A}(\boldsymbolθ)\in\mathbb{R}^{m\times m}$ that depend, possibly nonlinearly, on a parameter $\boldsymbolθ$ from a compact parameter space $Θ$. We present a Monte Carlo estimator for minimizing $\text{trace}(\boldsymbol{A}(\boldsymbolθ))$ over all $\boldsymbolθ\inΘ$, and determine the sampling amount so that the backward error of the estimator is bounded with high probability. We derive two types of bounds, based on epsilon nets and on generic chaining. B…

Replaced article(s) found for stat.ME. https://arxiv.org/list/stat.ME/new
[2/2]:
- FACEGroup: Feasible and Actionable Counterfactual Explanations for Group Fairness
Christos Fragkathoulas, Vasiliki Papanikou, Evaggelia Pitoura, Evimaria Terzi

Asymmetric Modulation Design for Fluid-Antenna SWIPT Systems
Ahsan Mehmood, Ioannis Krikidis, Ghassan M. Kraidy
https://arxiv.org/abs/2509.07610 https://ar…

Asymmetric Modulation Design for Fluid-Antenna SWIPT Systems
In this work, we propose the design of modulation schemes that improve the rate-energy region of fluid antenna-assisted simultaneous wireless information and power transfer (SWIPT) systems. By considering the nonlinear characteristics of practical energy harvesting circuits, we formulate a dual-objective rate-energy (RE) region optimization problem to jointly maximize the discrete-input mutual information (DIMI) and harvested current. The problem is solved using the epsilon-constraint method an…

On the Gromov--Hausdorff stability of metric viscosity solutions
Shimpei Makida
https://arxiv.org/abs/2507.06495 https://arxiv.org/pdf/2507.06495 https://arxiv.org/html/2507.06495
arXiv:2507.06495v1 Announce Type: new
Abstract: We establish the stability of metric viscosity solutions to first-order Hamilton--Jacobi equations under Gromov--Hausdorff convergence. Our proof combines a characterization of metric viscosity solutions via quadratic distance functions with a doubling variable method adapted to epsilon-isometries, which allows us to pass to the Gromov--Hausdorff limit without embedding the spaces into a common ambient space. As a byproduct, we give a PDE-based proof of the stability of the dual Kantorovich problems under measured-Gromov--Hausdorff convergence.
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Ferroelectric Epsilon-WO3 Nanoparticles and Its Bipolaron Driven Opto-electronic Properties at Room Temperature
Mohammad M. Rahaman, Jose Flores, Mohamed Y. Noor, Md Mohsinur R. Adnan, Alex Blackston, Enam Chowdhury, Roberto C. Myers, Michael Newburger, Pelagia-Irene Gouma
https://arxiv.org/abs/2508.02598

Ferroelectric Epsilon-WO3 Nanoparticles and Its Bipolaron Driven Opto-electronic Properties at Room Temperature
A unique polymorph of binary tungsten trioxide, the epsilon phase of WO3, has non-centrosymmetric ferroelectric structure, typically stable below -43 degree C in bulk. We have stabilized the epsilon-WO3 at room temperature (RT) and nanostructured powders via flame spray pyrolysis synthesis. These nanopowders are drop cast into uniform thin films to enable RT measurement of ferroelectric and optoelectronic properties. We report ferroelectric hysteresis, nanoscale domains, and dipole switching me…