We propose an upper confidence bound for the threshold at which a regression function takes off from its baseline value in a white noise model. The confidence bound is based on multi-scale test statistics which involve combining one-sided kernel estimates with varying bandwidths in a specific manner. The bound is adaptive and near-optimal in the sense that it does require knowing the smoothness...

The c = 1 string in the Liouville field theory approach is shown to possess a nontrivial tree-level S-matrix which satisfies factorization property implied by unitary, if all the extra massive physical states are included. Research supported in part by the Robert A. Welch Foundation and NSF Grant PHY 9009850 Adress after September 1, 1991: Department of Physics and Astronomy, University of Roch...

Tropical semiring has proven successful in several research areas, including optimal control, bioinformatics, discrete event systems, or solving a decision problem. In previous studies, matrix two-factorization algorithm based on the tropical been applied to investigate bipartite and tripartite networks. Tri-factorization algorithms standard linear algebra are used for tasks such as data fusion...

Inheritance hierarchies often constitute the backbone of object-oriented systems. Their quality is therefore quite crucial. We present here our work the objective of which is to help designers to improve and to measure the quality of their inheritance hierarchies. The quality we deal with is the degree of factorization of information. Our work is based on the mathematical structure of Galois (c...

We investigate collinear factorization in electroweak radiative corrections to hard inclusive processes at the TeV scale. Because of the uncanceled double logs found previously, we find a factorization pattern which is qualitatively different from the analogous one in QCD. New types of splitting functions emerge which are needed to describe the initial beam charges and are dependent on an infra...

We consider the factorization properties of on-shell QCD amplitudes with massive partons in the limit when all kinematical invariants are large compared to the parton mass and discuss the structure of their infrared singularities. The dimensionally regulated soft poles and the large collinear logarithms of the parton masses exponentiate to all orders. Based on this factorization a simple relati...

Factorization of linear programming (LP) models enables a large portion of the LP tableau to be represented implicitly and generatedfrom the remainingexplicit part. Dynamicfactorization admits algebraicelementswhichchangeindimensionduring the courseof solution.A unifyingmathematical framework for dynamic row factorization is presented with three algorithms which derive from differentLP modelrow...

We discuss how to apply regularization by dimensional reduction for computing hadronic cross sections at next-to-leading order. We analyze the infrared singularity structure, demonstrate that there are no problems with factorization, and show how to use dimensional reduction in conjunction with standard parton distribution functions. We clarify that different versions of dimensional reduction w...