Tootfinder

Competitively Consistent Clustering
Niv Buchbinder, Roie Levin, Yue Yang
https://arxiv.org/abs/2508.10800 https://arxiv.org/pdf/2508.10800

Competitively Consistent Clustering
In fully-dynamic consistent clustering, we are given a finite metric space $(M,d)$, and a set $F\subseteq M$ of possible locations for opening centers. Data points arrive and depart, and the goal is to maintain an approximately optimal clustering solution at all times while minimizing the recourse, the total number of additions/deletions of centers over time. Specifically, we study fully dynamic versions of the classical $k$-center, facility location, and $k$-median problems. We design algorith…

Noninvasive Focused Ultrasound Spinal Cord Stimulation in Humans: A Computational Feasibility Study
Koharu Isomura, Wenwei Yu, Jose Gomez-Tames
https://arxiv.org/abs/2507.05702

Noninvasive Focused Ultrasound Spinal Cord Stimulation in Humans: A Computational Feasibility Study
Background: Trans-spinal FUS (tsFUS) has recently been shown promise in modulating spinal reflexes in rodents, opening new avenues for spinal cord interventions in motor control and pain management. However, anatomical differences between rodents and human spinal cords require careful targeting strategies and transducer design adaptations for human applications. Aim: This study aims to computationally explore the feasibility of tsFUS in the human spinal cord by leveraging the intervertebral aco…