Zobrazeno 1 - 10
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pro vyhledávání: '"A Rabee"'
Large Language Models (LLMs) have demonstrated remarkable potential in diverse domains, yet their application in the legal sector, particularly in low-resource contexts, remains limited. This study addresses the challenges of adapting LLMs to the Pal
Externí odkaz:
http://arxiv.org/abs/2412.14771
Ballistic Convergence in Hit-and-Run Monte Carlo and a Coordinate-free Randomized Kaczmarz Algorithm
Hit-and-Run is a coordinate-free Gibbs sampler, yet the quantitative advantages of its coordinate-free property remain largely unexplored beyond empirical studies. In this paper, we prove sharp estimates for the Wasserstein contraction of Hit-and-Run
Externí odkaz:
http://arxiv.org/abs/2412.07643
Autor:
Bou-Rabee, Nawaf, Oberdörster, Stefan
We prove that the mixing time of the No-U-Turn Sampler (NUTS), when initialized in the concentration region of the canonical Gaussian measure, scales as $d^{1/4}$, up to logarithmic factors, where $d$ is the dimension. This scaling is expected to be
Externí odkaz:
http://arxiv.org/abs/2410.06978
Adapting the step size locally in the no-U-turn sampler (NUTS) is challenging because the step-size and path-length tuning parameters are interdependent. The determination of an optimal path length requires a predefined step size, while the ideal ste
Externí odkaz:
http://arxiv.org/abs/2408.08259
Autor:
Bou-Rabee, Ahmed, Gwynne, Ewain
We prove that random walks on a family of tilings of d-dimensional Euclidean space, with a canonical choice of conductances, converge to Brownian motion modulo time parameterization. This class of tilings includes Delaunay triangulations (the dual of
Externí odkaz:
http://arxiv.org/abs/2405.11673
We introduce a novel and flexible framework for constructing locally adaptive Hamiltonian Monte Carlo (HMC) samplers by Gibbs sampling the algorithm's tuning parameters conditionally based on the position and momentum at each step. For adaptively sam
Externí odkaz:
http://arxiv.org/abs/2404.15253
We consider the long-time behavior of a diffusion process on $\mathbb{R}^d$ advected by a stationary random vector field which is assumed to be divergence-free, dihedrally symmetric in law and have a log-correlated potential. A special case includes
Externí odkaz:
http://arxiv.org/abs/2404.01115
Autor:
Mazen, Bataa Sayed Mohamed, Ismail, Badawi Mohamed, Ali Hassan, Rushdya Rabee, Ali, Mahmoud, Mohamed, Wael S.
Publikováno v:
Pigment & Resin Technology, 2024, Vol. 54, Issue 2, pp. 224-239.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/PRT-12-2023-0123
Autor:
Reffat, Rabee, Adel, Julia
Publikováno v:
Archnet-IJAR: International Journal of Architectural Research, 2023, Vol. 18, Issue 4, pp. 847-869.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/ARCH-07-2023-0162
A sharp, distribution free, non-asymptotic result is proved for the concentration of a random function around the mean function, when the randomization is generated by a finite sequence of independent data and the random functions satisfy uniform bou
Externí odkaz:
http://arxiv.org/abs/2312.01265