We propose and analyze a general mechanism of disorder-induced order in two-component Bose-Einstein condensates, analogous to corresponding effects established for XY spin models. We show that a random Raman coupling induces a relative phase of pi/2 between the two BECs and that the effect is robust. We demonstrate it in one, two, and three dimensions at T=0 and present evidence that it persist...

We study the value of component commonality in a periodic review assemble-to-order system, introduced by Akçay and Xu in 2004, where an independent base stock policy and a first-come-first-served allocation rule are used, and the base stock levels and the component allocation are optimized jointly. We show that lowering component commonality may yield a higher type-II service level. The lower d...

ABSTRACT The authors propose a new solution to the Independent Component Analysis (ICA) problem. In the two-dimensional case, we prove that under the whiteness constraint some fourth-order contrasts may be approximated by a sinusoid. Thus, the minimization of the contrast reduces to computing its phase. The novel approach, called SICA (Sinusoidal ICA), uses the ’Jacobi optimization’ to cope wit...

In independent component analysis (ICA), random-variable independence is often equated with factorization of the joint moments, expectations of products of powers. This paper shows that many nonpower functions are equally useful: if factors into for every and from an independence class, then random variables and are independent. Examples of and sufficient conditions for independence classes are...

In the `-Component Order Connectivity problem (` ∈ N), we are given a graph G on n vertices, m edges and a non-negative integer k and asks whether there exists a set of vertices S ⊆ V (G) such that |S| ≤ k and the size of the largest connected component in G−S is at most `. In this paper, we give a kernel for `-Component Order Connectivity with at most 2`k vertices that takes nO(`) time for eve...

We present a novel approach to signal separation using temporal correlations, which may be useful in decomposition of multichannel vibration data into fault-related harmonic activity. Performance of the algorithm with respect to parameter settings is investigated with artiicial data, whereas vibration data from a submsersible pump is used to compare the second-order ICA algorithm to other metho...

We establish central and local limit theorems for the number of vertices in the largest component of a random d-uniform hypergraph Hd(n, p) with edge probability p = c/ ( n−1 d−1 ) , where (d − 1) + ε < c < ∞. The proof relies on a new, purely probabilistic approach, and is based on Stein’s method as well as exposing the edges of Hd(n, p) in several rounds.

Comon’s well-known scheme for independent component analysis (ICA) is based on the maximal diagonalization, in a least-squares sense, of a higher-order cumulant tensor. In a previous papr, we proved that for fourth-order cumulants, the computation of an elementary Jacobi rotation is equivalent to the computation of the best rank-1 approximation of a fourth-order tensor. In this paper, we show t...

We demonstrate experimentally the existence of single-component multihump spatial solitons in a dye-doped nematic liquid crystal planar cell. The low absorption obtained at the working wavelength of 890 nm allows us to observe soliton propagation over lengths in the centimeter range. c © 2002 Optical Society of America OCIS codes: (190.0190) Nonlinear Optics; (190.4420) Transverse effects; (190...

The stable principal component pursuit (SPCP) problem is a non-smooth convex optimization problem, the solution of which has been shown both in theory and in practice to enable one to recover the low rank and sparse components of a matrix whose elements have been corrupted by Gaussian noise. In this paper, we first show how several existing fast first-order methods can be applied to this proble...