The Hartley transform, a real-valued alternative to the complex Fourier transform, is presented as an efficient tool for the analysis and simulation of earthquake accelerograms. This paper is introduced a novel method based on discrete Hartley transform (DHT) and radial basis function (RBF) neural network for generation of artificial earthquake accelerograms from specific target spectrums. Acce...

It is often observed that interpolation based on translates of radial basis functions or non-radial kernels is numerically unstable due to exceedingly large condition of the kernel matrix. But if stability is assessed in function space without considering special bases, this paper proves that kernel–based interpolation is stable. Provided that the data are not too wildly scattered, the L2 or L∞...

For the Laplacian ∆ defined on a p.c.f. self-similar fractal, we give an explicit formula for the resolvent kernel of the Laplacian with Dirichlet boundary conditions, and also with Neumann boundary conditions. That is, we construct a symmetric function G(λ) which solves (λI − ∆)−1 f (x) = ∫ G(λ)(x, y) f (y) dμ(y). The method is similar to Kigami’s construction of the Green kernel in [Kig01, §3...

We present an intriguing discovery related to Random Fourier Features: in Gaussian kernel approximation, replacing the random Gaussian matrix by a properly scaled random orthogonal matrix significantly decreases kernel approximation error. We call this technique Orthogonal Random Features (ORF), and provide theoretical and empirical justification for this behavior. Motivated by this discovery, ...

Compared to kernel-level servers, user-level ones can be debugged and maintained more easily and safely, but traditionally have had much worse performance. We describe a novel Z/O-oriented IPC facility that combines the emulated copy data passing scheme for monolithic systems with new copy avoidance techniques for microkernel systems. Unlike previous optimizations, I/O-oriented IPC does not req...

The Gaussian radial basis function (RBF) is a widely used kernel in kernel-based methods. parameter RBF, referred to as the shape parameter, plays an essential role model fitting. In this paper, we propose method select parameters for general RBF kernel. It can simultaneously serve variable selection and regression estimation. For former, asymptotic consistency established; latter, estimation e...

We find statistical weaknesses in 20 RC4-like algorithms including the original RC4, RC4A, PC-RC4 and others. This is achieved using a simple statistical test. We found only one algorithm which was able to pass the test VMPC-R. This algorithm, being approximately three times more complex then RC4, is probably the simplest RC4-like cipher capable of producing pseudo-random output.

We found a statistical weakness in the Spritz algorithm designed by Ronald L. Rivest and Jacob C. N. Schuldt. For N = 8: Prob(output(x) = output(x + 2)) = 1/N + 0.000498. The bias becomes statistically significant (for N = 8) after observing about 2 outputs. Analogous bias occurs for N = 16. We propose an algorithm (VMPC-R) which for N = 8 produced 2 (31 million times more) outputs which remain...

Transport constraints limit competition and arbitrageurs’possibilities of exploiting price differences between goods in neighbouring markets, especially when storage capacity is negligible. We analyse this in markets where strategic producers compete with supply functions, as in wholesale electricity markets. For networks with a radial structure, we show that existence of supply function equili...

A composite distribution of tangential and upward components of air flow is determined by tracing particles of debris and cloud tag movements in scaled movies of a tornado. The greatest tangential speed measured is 170 m.p.h. and the greatest upward speed derived is 150 m.p.h. A distribution of the convergent radial component of motion in the lower 600 f t . of the vortex is synthesized and use...