3 citations · 7 across the 23 of their papers we have counts for
7 papers · 1 filter
A short open space curve of unit width
Tinko Sebastian Bartels, Dennis Kevin Choy, Ruixiang Wu +1
In this work, we propose a curve to be a minimum of length among rectifiable, continuous curves of unit width in three-dimensional Euclidean space. We show that a previously conjec…
Non-commutative law of rare events
Marco Tulio Gaxiola, Arturo Jaramillo
We establish quantitative versions of the law of rare events and binomial approximations in non-commutative probability settings, including the free, Boolean, and monotone convolut…
Robust Scale Estimation in Additive Noise via Weighted Order Statistics
Jorge González Cázares, Arturo Jaramillo
This manuscript develops a non-parametric and robust framework for estimating the scale of additive noise in weakly sparse systems. The method does not require independence, prescr…
Distributional comparison for non-commutative infinitely divisible probability measures
Arturo Jaramillo, Josue Vazquez-Becerra
We determine ``cumulant-type'' upper bounds of the non-commutative Wasserstein distance for certain classes of distributions and , which are infinite divisible with respect…
Attenuated Poisson Dirichlet approximations for divisibility configurations
Victor Bernal Ramirez, David Torres-Flores, Arturo Jaramillo
We study the point process formed by the normalized logarithms of the distinct prime factors of a harmonic random sample. We prove a quantitative convergence result, in a Wasserste…
Adjusted Wasserstein distances for bridging empirical and true distributions with applications to MDS
Flor Martinez-Sermeno, Arturo Jaramillo, Johan Van Horebeek
This paper examines how metric adjustments to Multidimensional Scaling (MDS) can enhance its effectiveness as a visual tool for pattern recognition. The distance under consideratio…
Hockey-Stick Domination and Distributional Comparison on Finite Posets
Arturo Jaramillo, Saylé Sigarreta
We develop a framework for comparing probability measures on finite posets via hockey-stick domination, an order relation defined through interval-counting test functions. The theo…