Zobrazeno 1 - 10
of 14 802
pro vyhledávání: '"Graef"'
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 15, Iss 2, Pp 259-271 (2023)
This paper discusses the oscillatory behavior of solutions to a class of second-order nonlinear noncanonical neutral differential equations. Sufficient conditions for all solutions to be oscillatory are given. Examples are provided to illustrate all
Externí odkaz:
https://doaj.org/article/5e10d07af84f495499b4b9b1d812143d
Publikováno v:
Nonautonomous Dynamical Systems, Vol 10, Iss 1, Pp 340-346 (2023)
In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays. In addition to giving some new theorems o
Externí odkaz:
https://doaj.org/article/94130aee137f412484b7e045d6a829fe
Publikováno v:
Nonautonomous Dynamical Systems, Vol 9, Iss 1, Pp 163-169 (2022)
The aim of this paper is to investigate the second order half-linear retarded difference equation Δ(μ(n)(Δη(n))α)+δ(n)ηα(σ(n))=0\Delta \left( {\mu \left( n \right){{\left( {\Delta \eta \left( n \right)} \right)}^\alpha }} \right) + \delta \l
Externí odkaz:
https://doaj.org/article/b590083fbeec4377a24849532fd7414a
Publikováno v:
Mathematica Moravica, Vol 26, Iss 1, Pp 47-55 (2022)
In this paper, the authors discuss the oscillatory behavior of solutions to a class of even order nonlinear dynamic equations on time scales. The results are established by a comparison with n-th order delay dynamic inequalities or first-order delay
Externí odkaz:
https://doaj.org/article/76414be071ca445a8491515dd80e6c1f
Autor:
Graef, Alexander
This chapter explores the role transnational networks and informal ties play for small-state-status seeking in Central and Eastern Europe. Using the example of Slovakia, I argue that since their accession to Western institutions, these states have co
Externí odkaz:
https://library.oapen.org/handle/20.500.12657/86375
RMSNorm is used by many LLMs such as Llama, Mistral, and OpenELM. This paper details FlashNorm, which is an exact but faster implementation of RMSNorm followed by linear layers. See https://huggingface.co/open-machine/FlashNorm for code and more tran
Externí odkaz:
http://arxiv.org/abs/2407.09577
Autor:
Graef, Nils
He and Hofmann (arXiv:2311.01906) detailed a skipless transformer without the V and P (post-attention projection) linear layers, which reduces the total number of weights. However, this scheme is only applicable to MHA (multi-head attention), but not
Externí odkaz:
http://arxiv.org/abs/2404.12362
Publikováno v:
Universe. 2024; 10(9):371
We revisit the proposal that an energy transfer from dark energy into dark matter can be described in field theory by a first order phase transition. We analyze the model proposed in Ref. Abdalla et al. (2013), using updated constraints on the decay
Externí odkaz:
http://arxiv.org/abs/2403.04970
Autor:
Graef, Nils
This micro-paper describes a trick to speed up inference of transformers with RoPE (such as LLaMA, Mistral, PaLM, and Gemma). For these models, a large portion of the first transformer layer can be precomputed, which results in slightly lower latency
Externí odkaz:
http://arxiv.org/abs/2402.13388
Autor:
Pedreira, Igor de O. C., Benetti, Micol, Ferreira, Elisa G. M., Graef, Leila L., Herold, Laura
Publikováno v:
Phys. Rev. D 109, 103525 (2024)
Beyond-$\Lambda$CDM models have been proposed to address various shortcomings of the standard cosmological model, such as the ``Hubble tension.'' These models often have an impact on the discrepancy in the amplitude of matter clustering, the ``$\sigm
Externí odkaz:
http://arxiv.org/abs/2311.04977