Yevgeny Liokumovich

activity

20142024

collaborators

4 papers

cs.LG2026

Sky sphere representation in language models

Aleksandr Berdnikov, Yevgeny Liokumovich

We analyze whether language models of size ~100B have a representation of the night sky map that is decodable from their residual stream. We find that most of the considered open-s…

cs.AI2024

Quantifying stability of non-power-seeking in artificial agents

Evan Ryan Gunter, Yevgeny Liokumovich, Victoria Krakovna

We investigate the question: if an AI agent is known to be safe in one setting, is it also safe in a new setting similar to the first? This is a core question of AI alignment--we t…

math.DG2017

Area of convex disks

Gregory R. Chambers, Christopher Croke, Yevgeny Liokumovich +1

This paper considers metric balls $B (p, R)$ in two dimensional Riemannian manifolds when $R$ is less than half the convexity radius. We prove that $A r e a (B (p, R)) \geq \frac{8}{π} R^{2}$ .…

math.DG2014

Lengths of three simple periodic geodesics on a Riemannian $2$ -sphere

Yevgeny Liokumovich, Alexander Nabutovsky, Regina Rotman

Let $M$ be a Riemannian $2$ -sphere. A classical theorem of Lyusternik and Shnirelman asserts the existence of three distinct simple non-trivial periodic geodesics on $M$ . In this p…

Sky sphere representation in language models

Quantifying stability of non-power-seeking in artificial agents

Area of convex disks

Lengths of three simple periodic geodesics on a Riemannian 2-sphere

Lengths of three simple periodic geodesics on a Riemannian $2$ -sphere