Alexander, Samuel Hibbard, Bill
Published in
Journal of Artificial General Intelligence

In 2011, Hibbard suggested an intelligence measure for agents who compete in an adversarial sequence prediction game. We argue that Hibbard’s idea should actually be considered as two separate ideas: first, that the intelligence of such agents can be measured based on the growth rates of the runtimes of the competitors that they defeat; and second,...

Ibe, Masahiro Nakano, Wakutaka Shoji, Yutaro Suzuki, Kazumine
Published in
Journal of High Energy Physics

The elastic scattering of an atomic nucleus plays a central role in dark matter direct detection experiments. In those experiments, it is usually assumed that the atomic electrons around the nucleus of the target material immediately follow the motion of the recoil nucleus. In reality, however, it takes some time for the electrons to catch up, whic...

Carlson, Jeffrey D.
Published in
Journal of Homotopy and Related Structures

Considering the potential equivariant formality of the left action of a connected Lie group K on the homogeneous space G / K, we arrive through a sequence of reductions at the case G is compact and simply-connected and K is a torus. We then classify all pairs (G, S) such that G is compact connected Lie and the embedded circular subgroup S acts equi...

Vasak, David Kirsch, Johannes Struckmeier, Jürgen
Published in
The European Physical Journal Plus

The cosmological implications of the covariant canonical gauge theory of gravity (CCGG) are investigated. We deduce that, in a metric-compatible geometry, the requirement of covariant conservation of matter invokes torsion of space-time. In the Friedman model, this leads to a scalar field built from contortion and the metric with the property of da...

Geirhos, Robert Jacobsen, Jörn-Henrik Michaelis, Claudio Zemel, Richard Brendel, Wieland Bethge, Matthias Wichmann, Felix A.
Published in
Nature Machine Intelligence

Deep learning has resulted in impressive achievements, but under what circumstances does it fail, and why? The authors propose that its failures are a consequence of shortcut learning, a common characteristic across biological and artificial systems in which strategies that appear to have solved a problem fail unexpectedly under different circumsta...

Izmailov, Ramil N. Bhattacharya, Amrita Zhdanov, Eduard R. Potapov, Alexander A. Nandi, Kamal K.
Published in
The European Physical Journal Plus

Recent trend of research indicates that not only massive but also massless (asymptotic Newtonian mass zero) wormholes can reproduce post-merger initial ring-down gravitational waves characteristic of black hole horizon. In the massless case, it is the non-zero charge of other fields, equivalent to what we call here the “Wheelerian mass”, that is re...

Tian, GuJi Wang, Qi Xu, Chao-Jiang
Published in
Science China Mathematics

We give a classification of second-order polynomial solutions for the homogeneous k-Hessian equation σk[u] = 0. There are only two classes of polynomial solutions: One is convex polynomial; another one must not be (k + 1)-convex, and in the second case, the k-Hessian equations are uniformly elliptic with respect to that solution. Base on this class...

Gehrmann, T. Glover, E. W. N. Huber, T. Ikizlerli, N. Studerus, C.
Published in
Journal of High Energy Physics

We describe the calculation of the three-loop QCD corrections to quark and gluon form factors. The relevant three-loop Feynman diagrams are evaluated and the resulting three-loop Feynman integrals are reduced to a small set of known master integrals by using integration-by-parts relations. Our calculation confirms the recent results by Baikov et al...

Sharina, M. E. Makarova, L. N. Makarov, D. I.
Published in
Astrophysics

We compare the properties of the stellar populations of the globular clusters and field stars in two dwarf spheroidal galaxies (dSphs): ESO 269-66, a near neighbor of the giant S0 galaxy NGC 5128, and KKs 3, one of the few extremely isolated dSphs within 10 Mpc. The histories of star formation in these galaxies are known from previous work on deep ...

Oude Groeniger, Hans
Published in
Annales Henri Poincaré

We study the asymptotic behaviour of Bianchi type VI0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_0$$\end{document} spacetimes with orthogonal perfect fluid matter ...