DIFFERENTIAL GROUND MOTION ESTIMATION USING A TIME-SPACE STOCHASTIC PROCESS MODEL

Stochastic Model for Earthquake Ground Motion Using Wavelet Packets

For performance-based design, nonlinear dynamic structural analysis using various types of input ground motions is required. Stochastic (simulated) ground motions are sometimes useful as input motions, because their properties can be varied systematically to study the impact of ground-motion properties on structural response, and producing large numbers of ground motions is simple. This paper d...

Modeling Space-Time Data Using Stochastic Differential Equations

This paper demonstrates the use and value of stochastic differential equations for modeling space-time data in two common settings. The first consists of point-referenced or geostatistical data where observations are collected at fixed locations and times. The second considers random point pattern data where the emergence of locations and times is random. For both cases, we employ stochastic di...

Estimation of Gene Regulatory Network Using Stochastic Differential Equation Model

Wavelet Based Estimation of the Derivatives of a Density for a Discrete-Time Stochastic Process: Lp-Losses

We propose a method of estimation of the derivatives of probability density based on wavelets methods for a sequence of random variables with a common one-dimensional probability density function and obtain an upper bound on Lp-losses for such estimators. We suppose that the process is strongly mixing and we show that the rate of convergence essentially depends on the behavior of a special quad...

Motion Estimation Using the Differential Epipolar Equation

We consider the motion estimation problem in the case of very closely spaced views. We revisit the differential epipolar equation providing an interpretation of it. On the basis of this interpretation we introduce a cost function to estimate the parameters of the differential epipolar equation, which enables us to compute the camera extrinsics and some intrinsics. In the synthetic tests perform...