Given limited training samples, learning to classify multiple labels is challenging. Problem decomposition [24] is widely used in this case, where the original problem is decomposed into a set of easier-to-learn subproblems, and predictions from subproblems are combined to make the final decision. In this paper we show the connection between composite likelihoods [17] and many multilabel decomp...

We consider a composite particle formed by two fermions or two bosons. We discover that composite behavior is deeply related to the quantum entanglement between the constituent particles. By analyzing the properties of creation and annihilation operators, we show that bosonic character emerges if the constituent particles become strongly entangled. Such a connection is demonstrated explicitly i...

We investigate in the simplest compact D = 4 N = 1 Type IIB orientifold models the sigma-model symmetry suggested by the proposed duality of these models to heterotic orbifold vacua. This symmetry is known to be present at the classical level, and is associated to a composite connection involving untwisted moduli in the low-energy supergravity theory. In order to study possible anomalies arisin...

A new word-clustering technique is proposed to efficiently build statistically salient class 2-grams from language corpora. By splitting word neighboring characteristics into word-preceding and following directions, multiple (two-dimensional) word classes are assigned to each word. In each side, word classes are merged into larger clusters independently according to preceding or following word ...

We prove a value distribution result which has several interesting corollaries. Let k ∈ N, let α ∈ C and let f be a transcendental entire function with order less than 1/2. Then for every nonconstant entire function g, we have that (f ◦ g) −α has infinitely many zeros. This result also holds when k = 1, for every transcendental entire function g. We also prove the following result for normal fa...

Concrete-timber composite floor is a construction technique combining two materials, concrete and timber, connected together using some form of interlayer shear connectors either positioned discretely or continuously along the span of the floor. The interlayer connections provide the desired composite action, where the degree of this composite action is governed by the types of connection syste...