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Showing 1 to 6 of 6 for “"Karhunen-loeve expansion"”.
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Large Scale Simulation of Spinodal Decomposition
… decomposition method, based on the Wiener chaos expansion (WCE) and the Karhunen-Loeve expansion (KLE), is presented. Applying the two expansions to time-space white noise, we transform the CHC equation into a deterministic form. The main advantage of the Wiener chaos approach is that it …
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A Variational Approach to Estimating Uncertain Parameters in Elliptic Systems
… of the uncertain observations (via a truncated Karhunen-Loeve expansion) allows us to estimate the infinite dimensional problem by a smooth, albeit high dimensional, deterministic optimization problem, the so-called 'finite noise' problem, in the space of functions with bounded mixed …
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Practical Analysis Tools for Structures Subjected to Flow-Induced and Non-Stationary Random Loads
… of structures. A method was developed using the Karhunen Loeve expansion as its base to close the gap between prohibitively simple (stationary only) models and those which require too much computation time. Models were developed from SDOF through continuous systems and shown to perform well at …
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Communication-theoretic Approach for Skin Cancer Detection using Dynamic Thermal Imaging
Skin cancer is the most common cancer in the United States with over 3.5M annual cases. Statistics from the Americans Cancer Society indicate that 20% of the American population will develop this disease during their lifetime. Presently, visual inspection by a dermatologist has good sensitivity …
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Extreme-Strike and Small-time Asymptotics for Gaussian Stochastic Volatility Models
… prescribed mean and covariance. By exhibiting a Karhunen-Loève expansion for the integrated variance, and using sharp estimates of the density of a general second-chaos variable, we derive asymptotics for the asset price density for large or small values of the variable, and study the wing …
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Uncertainty Quantification in Dynamic Problems With Large Uncertainties
… are modeled as Gaussian processes using Karhunen-Loeve (KL) expansion. Second algorithm is based on implicit polynomial iteration method. This algorithm is found to be more efficient when applied to discrete systems. However, the application of the algorithm to continuous systems results …