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Orthogonality Loss: Learning Discriminative Representations for Face Recognition

IEEE transactions on circuits and systems for video technology (Print), 2021
Convolutional neural networks have achieved excellent performance on face recognition (FR) by learning the high discriminative features with advanced loss functions. These improved loss functions share the similar idea for maximizing inter-class variance
Shanmin Yang   +4 more
semanticscholar   +1 more source

A class of smooth exact penalty function methods for optimization problems with orthogonality constraints

Optim. Methods Softw., 2020
Updating the augmented Lagrangian multiplier by closed-form expression yields efficient first-order infeasible approach for optimization problems with orthogonality constraints.
Nachuan Xiao, Xin Liu, Ya-xiang Yuan
semanticscholar   +1 more source

Separation orthogonality in liquid chromatography-mass spectrometry for proteomic applications: comparison of 16 different two-dimensional combinations.

Analytical Chemistry, 2020
Peptide separation orthogonality for 16 different 2D LC-ESI MS systems has been evaluated. To compare and contrast the behavior of the first dimension columns, a large proteomic retention dataset of ~30,000 tryptic peptides was collected for each 2D ...
Darien Yeung   +6 more
semanticscholar   +1 more source

On the Orthogonality of Classical Orthogonal Polynomials

Integral Transforms and Special Functions, 2003
We consider the orthogonality of rational functions W n ( s ) as the Laplace transform images of a set of orthoexponential functions, obtained from the Jacobi polynomials, and as the Laplace transform images of the Laguerre polynomials. We prove that the orthogonality of the Jacobi and the Laguerre polynomials is induced by the orthogonality of the ...
Miomir S. Stanković   +1 more
openaire   +2 more sources

FlipLoRa: Resolving Collisions with Up-Down Quasi-Orthogonality

Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks, 2020
LoRa is recently a rising star in Low Power Wide Area Network (LPWAN) family to provide low power and long range communication for large number of devices in Internet of Things.
Zhenqiang Xu   +3 more
semanticscholar   +1 more source

The orthogonal flows for orthogonal iteration

Linear Algebra and its Applications, 2023
In the field of scientific computation, orthogonal iteration is an essential method for computing the invariant subspace corresponding to the largest r eigenvalues. In this paper, we construct a flow that connects the sequence of matrices generated by the orthogonal iteration. Such a flow is called an orthogonal flow.
Yueh-Cheng Kuo   +2 more
openaire   +2 more sources

Orthogonal sets; orthogonal contractions

Asian-European Journal of Mathematics, 2019
In this paper, we are interested in obtaining fixed point theorems by keeping the orthogonal completeness of the orthogonal metric space and replacing the [Formula: see text]-contraction condition in theorems by another slightly modified conditions. The paper contains an example illustrating our results.
Mohammad Bagher Sahabi   +2 more
openaire   +2 more sources

Orthogonality

2010
In Chapters 6, we restrict our attention to RnRn and present some additional structures and properties related to the dot product. In Section 6.1, we examine special bases for RnRn whose vectors are mutually orthogonal. In Section 6.2, we introduce orthogonal complements of subspaces of RnRn.
Stephen Andrilli, David Hecker
openaire   +3 more sources

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