Tootfinder

A priori error analysis of the proximal Galerkin method
Brendan Keith, Rami Masri, Marius Zeinhofer
https://arxiv.org/abs/2507.13516 https://

A priori error analysis of the proximal Galerkin method
The proximal Galerkin (PG) method is a finite element method for solving variational problems with inequality constraints. It has several advantages, including constraint-preserving approximations and mesh independence. This paper presents the first abstract a priori error analysis of PG methods, providing a general framework to establish convergence and error estimates. As applications of the framework, we demonstrate optimal convergence rates for both the obstacle and Signorini problems using…

BeamSeek: Deep Learning-based DOA Estimation for Low-Complexity mmWave Phased Arrays
Arav Sharma, Lei Chi, Ari Gebhardt, Alon S. Levin, Timothy R. Hoerning, Sam Keene
https://arxiv.org/abs/2508.13075

BeamSeek: Deep Learning-based DOA Estimation for Low-Complexity mmWave Phased Arrays
A novel approach combining agile beam switching with deep learning to enhance the speed and accuracy of Direction of Arrival (DOA) estimation for millimeter-wave (mmWave) phased array systems with low-complexity hardware implementations is proposed and evaluated. Traditional DOA methods requiring direct access to individual antenna elements are impractical for analog or hybrid beamforming systems prevalent in modern mmWave implementations. Recent agile beam switching techniques have demonstrate…

FocusView: Understanding and Customizing Informational Video Watching Experiences for Viewers with ADHD
Hanxiu 'Hazel' Zhu, Ruijia Chen, Yuhang Zhao
https://arxiv.org/abs/2507.13309

FocusView: Understanding and Customizing Informational Video Watching Experiences for Viewers with ADHD
While videos have become increasingly prevalent in delivering information across different educational and professional contexts, individuals with ADHD often face attention challenges when watching informational videos due to the dynamic, multimodal, yet potentially distracting video elements. To understand and address this critical challenge, we designed \textit{FocusView}, a video customization interface that allows viewers with ADHD to customize informational videos from different aspects. W…

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Binary choice logit models with general fixed effects for panel and network data
Kevin Dano, Bo E. Honor\'e, Martin Weidner
https://arxiv.org/abs/2508.11556 https://

Binary choice logit models with general fixed effects for panel and network data
This paper systematically analyzes and reviews identification strategies for binary choice logit models with fixed effects in panel and network data settings. We examine both static and dynamic models with general fixed-effect structures, including individual effects, time trends, and two-way or dyadic effects. A key challenge is the incidental parameter problem, which arises from the increasing number of fixed effects as the sample size grows. We explore two main strategies for eliminating nui…

Correcting impedance measurements for background parasitics to characterize circuit components in cryogenic environments
Riley J. Carpenter, Jadyn Anczarski, Ivar Rydstrom, Aviv Simchony, Zoe J. Smith, Noah A. Kurinsky, Betty A. Young
https://arxiv.org/abs/2506.12268

Correcting impedance measurements for background parasitics to characterize circuit components in cryogenic environments
Predictable circuit response is a critical prerequisite for accurate electronic measurements. We describe a powerful, yet straightforward, experimental method and analysis model that utilizes an affordable LCR meter in conjunction with an in situ parasitic impedance background correction procedure to measure the temperature-dependent impedance (magnitude and phase) of individual passive circuit elements mounted in a cryostat. We show how the model unambiguously identified a 20x drop in capacita…

This https://arxiv.org/abs/2407.01101 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Packing Density of Sets With Only Two Nonmixed Gaps
For a finite set of integers such that the first few gaps between its consecutive elements equal $a$, while the remaining gaps equal $b$, we study dense packings of its translates on the line. We obtain an explicit lower bound on the corresponding optimal density, conjecture its tightness, and prove it in case one of the gap lengths, $a$ or $b$, appears only once. This is equivalent to a Motzkin problem on the independence ratio of certain integer distance graphs.

A posteriori error estimates for a $C^1$ virtual element method applied to the thin plate vibration problem
Franco Dassi, Andres E. Rubiano, Iv\'an Vel\'asquez
https://arxiv.org/abs/2507.06846

A posteriori error estimates for a $C^1$ virtual element method applied to the thin plate vibration problem
We propose and analyse residual-based a posteriori error estimates for the virtual element discretisation applied to the thin plate vibration problem in both two and three dimensions. Our approach involves a conforming $C^1$ discrete formulation suitable for meshes composed of polygons and polyhedra. The reliability and efficiency of the error estimator are established through a dimension-independent proof. Finally, several numerical experiments are reported to demonstrate the optimal performan…

Fault-Tolerant Matroid Bases
Matthias Bentert, Fedor V. Fomin, Petr A. Golovach, Laure Morelle
https://arxiv.org/abs/2506.22010 https://

Fault-Tolerant Matroid Bases
We investigate the problem of constructing fault-tolerant bases in matroids. Given a matroid M and a redundancy parameter k, a k-fault-tolerant basis is a minimum-size set of elements such that, even after the removal of any k elements, the remaining subset still spans the entire ground set. Since matroids generalize linear independence across structures such as vector spaces, graphs, and set systems, this problem unifies and extends several fault-tolerant concepts appearing in prior research. …

Scalable ADER-DG Transport Method with Polynomial Order Independent CFL Limit
Kieran Ricardo, Kenneth Duru
https://arxiv.org/abs/2507.07304 https://…

Scalable ADER-DG Transport Method with Polynomial Order Independent CFL Limit
Discontinuous Galerkin (DG) methods are known to suffer from increasingly restrictive time step constraints as the polynomial order increases, limiting their efficiency at high orders. In this paper, we introduce a novel locally implicit, but globally explicit ADER-DG scheme designed for transport-dominated problems. The method achieves a maximum stable time step governed by an element-width based CFL condition that is independent of the polynomial degree. By solving a set of element-local impl…