Tootfinder

John Ellipsoids of Revolution
Grigory Ivanov, Zsolt L\'angi, M\'arton Nasz\'odi, \'Ad\'am Sagmeister
https://arxiv.org/abs/2507.06947 h…

John Ellipsoids of Revolution
Finding a largest Euclidean ball in a given convex body $K$ in $\mathbb{R}^d$, and finding the largest volume ellipsoid in $K$ are two problems of very different nature. The first is a Euclidean problem, where similar copies of the origin centered closed unit ball are considered, whereas in the second, we search among affine copies of $\mathbf{B}^{d}$. In this paper, we interpolate between the two problems by considering ellipsoids of revolution. We generalize the problem by looking at pairs of…

Persistence Paradox in Dynamic Science
Honglin Bao, Kai Li
https://arxiv.org/abs/2506.22729 https://arxiv.org/pdf/2506.22729

Persistence Paradox in Dynamic Science
Persistence is often regarded as a virtue in science. In this paper, however, we challenge this conventional view by highlighting its contextual nature, particularly how persistence can become a liability during periods of paradigm shift. We focus on the deep learning revolution catalyzed by AlexNet in 2012. Analyzing the 20-year career trajectories of over 5,000 scientists who were active in top machine learning venues during the preceding decade, we examine how their research focus and output…