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Lefschetz thimbles in fermionic effective models with repulsive vector-field [PDF]
Physics Letters B, 2017 We discuss two problems in complexified auxiliary fields in fermionic effective models, the auxiliary sign problem associated with the repulsive vector-field and the choice of the cut for the scalar field appearing from the logarithmic function.
Kashiwa, Kouji +2 more
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Algorithms for nonnegative matrix factorization with the beta-divergence [PDF]
, 2011 This paper describes algorithms for nonnegative matrix factorization (NMF) with the beta-divergence (beta-NMF). The beta-divergence is a family of cost functions parametrized by a single shape parameter beta that takes the Euclidean distance, the ...
Févotte, Cédric, Idier, Jérôme
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Fixed Point Theorems via Auxiliary Functions [PDF]
Journal of Applied Mathematics, 2012 We prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.
Karapınar, Erdal, Salimi, Peyman
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Informatica, 1990 Summary: A new concept of an exact auxiliary function (EAF) is introduced. A function is said to be EAF, if the set of global minimizers of this function coincides with the global solution set of the initial optimization problem. Sufficient conditions for the exact equivalence of the constrained minimization problem and the minimization of the EAF are ...
Evtushenko, Yuri, Zhadan, Vitali
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Accelerating Auxiliary Function-Based Independent Vector Analysis [PDF]
ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2021 Independent Vector Analysis (IVA) is an effective approach for Blind Source Separation (BSS) of convolutive mixtures of audio signals. As a practical realization of an IVA-based BSS algorithm, the so-called AuxIVA update rules based on the Majorize-Minimize (MM) principle have been proposed which allow for fast and computationally efficient ...
Brendel, Andreas, Kellermann, Walter
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The function of auxiliary operators [PDF]
Molecular Microbiology, 1998 Gene regulation by control of transcription has been analysed in great detail both in prokaryotes and in eukaryotes. The frequency of transcription may be decreased by repressors or increased by activators. A repressor may work by decreasing the concentration of RNA polymerase at a promoter capable of forming an open complex.
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Ginsparg-Wilson Relation and Lattice Chiral Symmetry in Fermionic Interacting Theories [PDF]
, 2002 We derive Ginsparg-Wilson relation for a lattice chiral symmetry in theories with self-interacting fermions. Auxiliary scalar and pseudo-scalar fields are introduced on a coarse lattice to give an effective description of the fermionic interactions.
Chiu +24 more
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The sphere packing problem in dimension 24 [PDF]
, 2017 Building on Viazovska's recent solution of the sphere packing problem in eight dimensions, we prove that the Leech lattice is the densest packing of congruent spheres in twenty-four dimensions and that it is the unique optimal periodic packing.
Cohn, H. +4 more
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Simulating Auxiliary Inputs, Revisited [PDF]
, 2016 For any pair $(X,Z)$ of correlated random variables we can think of $Z$ as a randomized function of $X$. Provided that $Z$ is short, one can make this function computationally efficient by allowing it to be only approximately correct.
A Buldas +9 more
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Model-Assisted Estimators with Auxiliary Functional Data
Communications in Mathematical Research, 2022 Summary: Few studies focus on the application of functional data to the field of design-based survey sampling. In this paper, the scalar-on-function regression model-assisted method is proposed to estimate the finite population means with auxiliary functional data information.
Liu, Chao, Zhang, Huiming, Yan, Jing
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