The Idealized Structural Unit Method Including Global Nonlinearities

Division in Idealized Unit Cost RAMS

W e study the power of RAM acceptors with several instruction sets. W e exhibit several instances where the availability of the division operator increases the power of the acceptors. W e also show that in certain situations parallelism and stochastic features (“distributed random choices”) are provably more powerful than either parallelism or randomness alone. W e relate the class of probabili...

a structural survey of the polish posters

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Identification of Hammerstein-Wiener Systems Including Backlash Input Nonlinearities

Standard Hammerstein-Wiener models consist of a linear subsystem sandwiched by two memoryless nonlinearities. Presently, the input nonlinearity is allowed to be a memory operator of backlash type and both input and output nonlinearities are polynomial and may be noninvertible. The linear subsystem may be parametric or not, continuousor discrete-time. A two-stage identification method is develop...

Physics-based Sound Synthesis of Stringed Instruments Including Geometric Nonlinearities

N-consistent Semiparametric Regression: Unit Root Tests with Nonlinearities

We develop unit root tests using additional time series as suggested in Hansen (1995). However, we allow for the covariate to enter the model in a nonlinear fashion, so that our model is an extension of the semiparametric model analyzed in Robinson (1988). It is proven that the autoregressive parameter is estimated at rate N even though part of the model is estimated nonparametrically. The limi...