… Phoon (Citation2020a) envisaged the eventual development of an artificial intelligence
called AlphaGeo that can mimic human learning. This AlphaGeo can be regarded as equivalent …

… The k-th sample x ( k ) refers to one specific design scenario, say one value of the undrained
shear strength. The I(x ( k ) ) value depends on the outcome of one deterministic finite …

… ± kσ xn }, where k is set as 2 in this study. A regression-based approach is used to compute
the unknown coefficients a (eg, … Substituting each realization of input samples ξ k , k = 1, 2,⋯, …

… The objective of this paper is to examine the practicality of implementing the K–L method as
… number of terms used in the K–L expansion, are also examined. The K–L expansion is also …

… Details are outside the scope of this chapter and given elsewhere (Phoon, 2004a, 2006a).
In this chapter,“user-friendly” methods refer to those that can be implemented on a desktop …

TTA /I’T Page 1 INFORMATION TO USERS The negative microfilm copy of this dissertation
was prepared and inspected by the school granting the degree. We are using this film without …

… (K–L) expansion as a practical simulation tool hinges crucially on the ability to compute a
large number of K–L … to solve the Fredholm integral equation for K–L simulation. The proposed …

Monte Carlo simulation (MCS) provides a conceptually simple and robust method to evaluate
the system reliability of slope stability, particularly in spatially variable soils. However, it …

The non-Gaussian Karhunen–Loeve (K–L) expansion is very attractive because it can be
extended readily to non-stationary and multi-dimensional fields in a unified way. However, for …

… The present paper extends the application of K–L expansion for direct … It utilizes K–L
expansion for the simulation of stochastic … It is shown that K–L representation has potential for …