Asymptotics of the Gauss hypergeometric function with large parameters, II [PDF]
Journal of Classical Analysis, 2013 Summary: We obtain asymptotic expansions for the Gauss hypergeometric function \[ F(a +\varepsilon_1\lambda,\,b +\varepsilon_2\lambda;\,c+\varepsilon_3\lambda;\,z) \] as \(|\lambda|\rightarrow\infty\) when the \(\varepsilon_j\) are finite by an application of the method of steepest descents, thereby extending previous results corresponding to ...
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Patterns of Non-exponential Growth of Macroeconomic Models: Two-parameter Poisson-Dirichlet Models (Forthcoming in "Rivista Internazionale di Scienze Sociali", cxv No.1, pp. 109-125, 2007. ) [PDF]
This paper discusses non-exponential growth patterns of macroeconomic models. More specifically, the paper discusses asymptotic growth patterns of the numbers of clusters and of components of partition vectors, that is, the number of clusters of specific
Masanao Aoki
core
Recurrent Diffusion for Large-Scale Parameter Generation
CoRRParameter generation has long struggled to match the scale of today large vision and language models, curbing its broader utility. In this paper, we introduce Recurrent Diffusion for Large Scale Parameter Generation (RPG), a novel framework that generates full neural network parameters up to hundreds of millions on a single GPU.
Wang, Kai +5 more
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Thermodynamic Limits of Macroeconomic or Financial Models: One-and Two-Parameter Poisson-Dirichlet Models (Forthcoming in "Journal of Economic Dynamics and Control", 2007. ) [PDF]
This paper examines asymptotic behavior of two types of economic or financial models with many interacting heterogeneous agents. They are one-parameter Poisson-Dirichlet models, also called Ewens models, and its extension totwo-parameter Poisson ...
Masanao Aoki
core
Large time-varying parameter VARs [PDF]
, 2013 In this paper, we develop methods for estimation and forecasting in large time-varying parameter vector autoregressive models (TVP-VARs). To overcome computational constraints, we draw on ideas from the dynamic model averaging literature which achieve ...
Korobilis, Dimitris, Koop, Gary
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Learning from topology: cosmological parameter estimation from the large-scale structure
Machine Learning: Science and TechnologyThe topology of the large-scale structure of the Universe contains valuable information on the underlying cosmological parameters. While persistent homology can extract this topological information, the optimal method for parameter estimation from the ...
Jacky H T Yip +2 more
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Electromagnetic transmission problems with a large parameter in weighted Sobolev spaces
Electronic Journal of Differential Equations, 2013 We present an a priori estimate for an electromagnetic transmission problem in unbounded exterior domains in R^3. We consider Maxwell's equations in two sub-domains, the bounded interior representing a conducting material (metal) and the unbounded ...
Jorge Eliecer Ospino
doaj
Nano large language model of 125 million-parameter for STEM education
Discover ComputingLarge language models (LLMs) have achieved remarkable success on various natural language tasks, but their immense size often makes deployment on resource-constrained devices impractical.
Yuvraj Pradhan +5 more
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Sample Path Large Deviations and Convergence Parameters
The Annals of Applied Probability, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Robust generalized cross-validation for choosing the regularization parameter [PDF]
, 2006 Let fλ be the regularized solution for the problem of estimating a function or vector f0 from noisy data yi ≤ Lif0 + εi, i ≤ 1, ..., n, where Li are linear functionals.
Lukas, M.A.
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