Abstract: An exact closed-form expression is developed for the probability density function (PDF) of the sum of independent but not necessarily identically ...

Abstract: We consider deep neural networks (DNNs) with a Lipschitz continuous activation function and with weight matrices of variable widths. We establish a uniform convergence analysis framework in ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Implement role-based access control for random generation functions, allowing only accounts with "Root" role to execute these functions in both production and testing environments. Current random ...

Requires PHP 7.4-8.4 and a Chrome/Chromium 65+ executable. Note that the library is only tested on Linux but is compatible with macOS and Windows. It uses a simple and understandable API to start ...

Find all of Teen Vogue's questions and games stories here. We’ve all been there, staring down the silence of a conversation with no clear path. This is where a set of random questions to ask comes in ...

Department of Chemistry, Department of Biomolecular Chemistry and National Center for Quantitative Biology of Complex Systems, University of Wisconsin—Madison, Madison, Wisconsin 53706, United States ...

For instance, the determinant of a random positive definite matrix can be written as an exponential function of the integral of log x with respect to the ESD where the integrand is unbounded both from ...

For the Online Service here, you can do: Note1: You need an 'iAM Smart' account with digital signing function or a valid personal digital certificate for the application. Note2: You may apply for a ...

Correspondence to Dr Patrick O McKeon, Department of Exercise and Sport Science, School of Health Sciences and Human Performance, Ithaca College Hill Center, Room G66 953 S. Danby Rd, Ithaca, NY 14850 ...

The similarities and differences between ℝ and ℂ are elegant and intriguing, but why are complex numbers important? One possible answer to this question is the Fundamental Theorem of Algebra. It ...