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pro vyhledávání: '"Reber AS"'
This paper concerns the evaluation of reward models used in language modeling. A reward model is a function that takes a prompt and a response and assigns a score indicating how good that response is for the prompt. A key challenge is that reward mod
Externí odkaz:
http://arxiv.org/abs/2410.11348
We show that if $M$ is a closed, connected, oriented surface, and two Anosov magnetic systems on $M$ are conjugate by a volume-preserving conjugacy isotopic to the identity, with their magnetic forms in the same cohomology class, then the metrics are
Externí odkaz:
http://arxiv.org/abs/2409.20545
Electro-optical modulation of a continuous wave laser is a highly stable way to generate frequency combs, gaining popularity in telecommunication and spectroscopic applications. These combs are generated by modulating non-linear electro-optic crystal
Externí odkaz:
http://arxiv.org/abs/2407.19571
Autor:
Reber, James Marshall, Shen, Yumin
Using the quotient bundle introduced by Wojtkowski, we give necessary and sufficient conditions for a magnetic flow on a closed, oriented surface to be Anosov.
Externí odkaz:
http://arxiv.org/abs/2406.18735
Autor:
Jones, Walker M, Reber, Melanie A R
The generation of shaped laser beams, or structured light, is of interest in a wide range of fields, from microscopy to fundamental physics. There are several ways to make shaped beams, most commonly using spatial light modulators comprised of pixels
Externí odkaz:
http://arxiv.org/abs/2405.12346
Ultrafast optical frequency combs allow for both high spectral and temporal resolution in molecular spectroscopy and have become a powerful tool in many areas of chemistry and physics. Ultrafast lasers and frequency combs generated from ultrafast mod
Externí odkaz:
http://arxiv.org/abs/2405.04424
Using the notion of magnetic curvature recently introduced by the first author, we extend E. Hopf's theorem to the setting of magnetic systems. Namely, we prove that if the magnetic flow on the s-sphere bundle is without conjugate points, then the to
Externí odkaz:
http://arxiv.org/abs/2404.17726
Autor:
Gogolev, Andrey, Reber, James Marshall
Given a closed orientable negatively curved Riemannian surface $(M,g)$, we show how to construct a perturbation $(M,g^\prime)$ such that each closed geodesic becomes longer, and yet there is no diffeomorphism $f : (M,g^\prime) \rightarrow (M,g)$ whic
Externí odkaz:
http://arxiv.org/abs/2309.10882
Autor:
Sina Mackay, Thomas P. Reber, Marcel Bausch, Jan Boström, Christian E. Elger, Florian Mormann
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-9 (2024)
Abstract Our brains create new memories by capturing the ‘who/what’, ‘where’ and ‘when’ of everyday experiences. On a neuronal level, mechanisms facilitating a successful transfer into episodic memory are still unclear. We investigated th
Externí odkaz:
https://doaj.org/article/dbe078c3221044ed8e9b3617dcc91d42
Autor:
Reber, James Marshall, Terek, Ivo
We extend the results about left-invariant Codazzi tensor fields on Lie groups equipped with left-invariant Riemannian metrics obtained by d'Atri in 1985 to the setting of reductive homogeneous spaces $G/H$, where the curvature of the canonical conne
Externí odkaz:
http://arxiv.org/abs/2306.07444