Zobrazeno 1 - 10
of 7 567
pro vyhledávání: '"Aschenbrenner A"'
We show that all maximal Hardy fields are elementarily equivalent as differential fields to the differential field $\mathbb T$ of transseries, and give various applications of this result and its proof.
Comment: 80 pp; extracted for publication
Comment: 80 pp; extracted for publication
Externí odkaz:
http://arxiv.org/abs/2408.05232
Publikováno v:
Proc of the 10th International Conference on Cloud Computing, GRIDs, and Virtualization (Cloud Computing 2019), Venice, Italy, May 2019, pp. 78-81, ISSN 2308-4294
To support maintenance and servicing of industrial machines, service processes are even today often performed manually and analogously, although supportive technologies such as augmented reality, virtual reality and digital platforms already exist. I
Externí odkaz:
http://arxiv.org/abs/2405.11836
Autor:
Kumar, Sayantan, Earnest, Tom, Yang, Braden, Kothapalli, Deydeep, Aschenbrenner, Andrew J., Hassenstab, Jason, Xiong, Chengie, Ances, Beau, Morris, John, Benzinger, Tammie L. S., Gordon, Brian A., Payne, Philip, Sotiras, Aristeidis
INTRODUCTION: Previous studies have applied normative modeling on a single neuroimaging modality to investigate Alzheimer Disease (AD) heterogeneity. We employed a deep learning-based multimodal normative framework to analyze individual-level variati
Externí odkaz:
http://arxiv.org/abs/2404.05748
We show that every Hardy field extends to an $\omega$-free Hardy field. This result relates to classical oscillation criteria for second-order homogeneous linear differential equations. It is essential in [12], and here we apply it to answer question
Externí odkaz:
http://arxiv.org/abs/2404.03695
We define the universal exponential extension of an algebraically closed differential field and investigate its properties in the presence of a nice valuation and in connection with linear differential equations. Next we prove normalization theorems
Externí odkaz:
http://arxiv.org/abs/2403.19732
Autor:
Burns, Collin, Izmailov, Pavel, Kirchner, Jan Hendrik, Baker, Bowen, Gao, Leo, Aschenbrenner, Leopold, Chen, Yining, Ecoffet, Adrien, Joglekar, Manas, Leike, Jan, Sutskever, Ilya, Wu, Jeff
Widely used alignment techniques, such as reinforcement learning from human feedback (RLHF), rely on the ability of humans to supervise model behavior - for example, to evaluate whether a model faithfully followed instructions or generated safe outpu
Externí odkaz:
http://arxiv.org/abs/2312.09390
We show that maximal analytic Hardy fields are $\eta_1$ in the sense of Hausdorff. We also prove various embedding theorems about analytic Hardy fields. For example, the ordered differential field $\mathbb T$ of transseries is shown to be isomorphic
Externí odkaz:
http://arxiv.org/abs/2311.07352
Publikováno v:
A&A 677, A175 (2023)
Aims. The evolutionary status of the blue supergiant Sher 25 and its membership to the massive cluster NGC 3603 are investigated. Methods. A hybrid non-LTE (local thermodynamic equilibrium) spectrum synthesis approach is employed to analyse a high-re
Externí odkaz:
http://arxiv.org/abs/2308.06164
We show how to fill "countable" gaps in Hardy fields. We use this to prove that any two maximal Hardy fields are back-and-forth equivalent.
Comment: 58 pp; revised based on comments by a referee
Comment: 58 pp; revised based on comments by a referee
Externí odkaz:
http://arxiv.org/abs/2308.02446
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-10 (2024)
Abstract Assessment of lung function is an important clinical tool for the diagnosis and monitoring of chronic lung diseases, including idiopathic pulmonary fibrosis (IPF). In mice, lung function maneuvers use algorithm-based ventilation strategies i
Externí odkaz:
https://doaj.org/article/df22953c84d64e2fac490c68944354ee