We prove that polynomial size discrete Hoppeld networks with hidden units compute exactly the class of Boolean functions PSPACE/poly, i.e., the same functions as are computed by polynomial space-bounded nonuniform Turing machines. As a corollary to the construction, we observe also that networks with polynomially bounded interconnection weights compute exactly the class of functions P/poly, i.e...

This paper investigates the optimality of the binning approach in distributed source coding for both uniform and nonuniform sources. While the algebraic binning scheme is optimal for uniform sources both asymptotically and at finite lengths, it is shown that the optimality holds only asymptotically for nonuniform sources. Highperformance turbo codes are used with the binning scheme on several s...

The estimation of ventricular volumes by indicator dilution methods is subject to errors resulting from incomplete mixing and nonuniform sampling. A mathematical model is proposed which theoretically permits calculation of these errors. The model allows for nonuniform distribution of indicator in the ventricle and for nonuniform representation of the end-diastolic volume (EDV) in the systolic e...

Unitary and nonunitary lter banks with uniform frequency separation have been extensively studied in the past. Improvement in coding gain has been achieved when allowing for nonunitary lter banks in image coders. Subjective improvements can be achieved by employing nonuniform lter banks. The paper presents a method to construct nonuniform nonunitary perfect reconstruction lter banks. A polyphas...

Current methodologies used for the inference of thin film stress through system curvature measurements are strictly restricted to stress and curvature states which are assumed to remain uniform over the entire film/substrate system. Recently Huang, Rosakis, and coworkers [Acta Mech. Sinica, 21, pp. 362–370 (2005); J. Mech. Phys. Solids, 53, 2483– 2500 (2005); Thin Solid Films, 515, pp. 2220–222...

A transport-of-intensity equation (TIE)-based phase retrieval method is proposed with putting an arbitrarily shaped aperture into the optical wavefield. In this arbitrarily shaped aperture, the TIE can be solved under nonuniform illuminations and even nonhomogeneous boundary conditions by iterative discrete cosine transforms with a phase compensation mechanism. Simulation with arbitrary phase, ...

Nonuniform data appears in many applications including phased array radar. If a radar is tracking several targets, it may pulse each target at nonuniformly spaced instants in time. One may characterize a target's motion by its precession and spin frequencies, which can be determined from the radar return. Several methods for spectral estimation using nonuniform sampling are presented and compar...

We present nonuniform vacuum black strings in five and six spacetime dimensions. The conserved charges and the action of these solutions are computed by employing a quasilocal formalism. We find qualitative agreement of the physical properties of nonuniform black strings in five and six dimensions. Our results offer further evidence that the black hole and the black string branches merge at a t...

Joint source-channel turbo techniques have recently been explored a lot in literature as one promising possibility to lower the end-to-end distortion, with fixed length codes, variable length codes, and (quasi) arithmetic codes. Still, many issues remain to be clarified before production use. This short contribution clarifies very concisely several issues that arise with EXIT charts and nonunif...

We investigate the distribution of nonuniform complexities in uniform complexity classes We prove that almost every problem decidable in exponential space has essentially maximum circuit size and space bounded Kolmogorov complexity almost everywhere The circuit size lower bound actually exceeds and thereby strengthens the Shannon n n lower bound for almost every problem with no computability co...