Sparsity property has long been exploited to improve the performance of least mean square (LMS) based identification of sparse systems, in the form of l0-norm or l1-norm constraint. However, there isâ€¦ (More)

In order to improve the sparsity exploitation performance of norm constraint least mean square (LMS) algorithms, a novel adaptive algorithm is proposed by introducing a variable p-norm-likeâ€¦ (More)

We consider the problem of enumerating spanning trees on lattices. Closed-form expressions are obtained for the spanning tree generating function for a hypercubic lattice of size N1Ã—N2Ã—Â· Â· Â·Ã—Nd in dâ€¦ (More)

l . I n t r o d u c t i o n It is now well-known [ 1,2] that the correlation length of the Ising model in two dimensions is precisely the surface tension of the dual lattice. It is also known byâ€¦ (More)

It is shown that the percolation model of hydrogen-bonded crystals, which is a 6-vertex model with bond defects, is completely equivalent to an 8-vertex model in an external electric field. Usingâ€¦ (More)

With the previously proposed non-uniform norm called lN -norm, which consists of a sequence of l1-norm or l0-norm elements according to relative magnitude, a novel lN-norm sparse recovery algorithmâ€¦ (More)

The determination of uric acid has been usually regarded as the least accurate and the most tedious and exacting of any of the analyses commonly made upon the blood. Certainly the heat coagulationâ€¦ (More)

A seminal milestone in lattice statistics is the exact solution of the enumeration of dimers on a simple-quartic net obtained by Fisher, Kasteleyn, and Temperley (FKT) in 1961. An outstanding relatedâ€¦ (More)

We consider discrete spin models on planar graphs and lattices with frustrated interactions. We first analyze the Ising model with frustrated plaquettes. It is shown that the frustrated Ising modelâ€¦ (More)

We consider discrete spin models on arbitrary planar graphs and lattices with frustrated interactions. We first analyze the Ising model with frustrated plaquettes. We use an algebraic approach toâ€¦ (More)