The support vector machine (SVM) has provided higher performance than traditional learning machines and has been widely applied in real-world classification problems and nonlinear function estimation problems. Unfortunately, ...

The majority of research on bilevel programming has centered on the linear version of the problem in which only one leader and one follower are involved. This paper addresses linear bilevel multi-follower programming ...

For periodic integrands with unit period in each variable, certain error bounds for lattice rules are conveniently characterised by the figure of merit rho, which was originally introduced in the context of number theoretic ...

We obtain fundamental solutions for PDEs of the form uᵼ = ơxᵞuxx + f(x)ux − μxʳu by showing that if the symmetry group of the PDE is nontrivial, it contains a standard integral transform of the fundamental solution. We ...

It is shown that two copies are enough to distinguish a complete basis of maximally entangled states in canonical form by constructing an explicit protocol. In particular, in such a protocol, no auxiliary system is needed ...

Photonic crystals are meta-materials that can inhibit the propagation of light in all directions for specific wavelength ranges. Material or structural defects can be introduced into the crystal to cause localised modes, ...

This study first proposes a set of factors and an initial behaviours-requirement relationship model as domain knowledge. Through conducting a questionnaire based survey customer data is collected as evidences for inference ...

We study the marginal longitudinal nonparametric regression problem and some of its semiparametric extensions. We point out that, while several elaborate proposals for efficient estimation have been proposed, a relative ...