Resolution of singularities via deep complex-valued neural networks
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4434
Abstract: It has been reported that training deep neural networks is more difficult than training shallow neural networks. Hinton et al. proposed deep belief networks with a learning algorithm that trains one layer at a time. A… read more here.
Keywords: valued neural; deep neural; neural networks; singular points ... See more keywords
Singular Points of Polynomial Darboux Systems
Sign Up to like & getrecommendations! Published in 2019 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-019-00319-7
Abstract: We study the singular points of the differential systems of the form $$\dot{x}= x+P(x,y), \ \dot{y}=y+Q(x,y)$$x˙=x+P(x,y),y˙=y+Q(x,y) where P(x, y) and Q(x, y) are homogeneous polynomials of degree n. read more here.
Keywords: systems singular; points polynomial; singular points; polynomial darboux ... See more keywords
Flattening of CR singular points and analyticity of the local hull of holomorphy II
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2016.12.008
Abstract: Abstract This is the second article of the two papers, in which we investigate the holomorphic and formal flattening problem of a non-degenerate CR singular point of a codimension two real submanifold in C n… read more here.
Keywords: local hull; singular points; problem; hull holomorphy ... See more keywords
Nondegenerate motion of singular points in obstacle problems with varying data
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.05.032
Abstract: Recent work by Serfaty and Serra give a formula for the velocity of the free boundary of the obstacle problem at regular points [Serfaty-Serra 2018], and much older work by King, Lacey, and Vazquez gives… read more here.
Keywords: motion singular; obstacle; varying data; nondegenerate motion ... See more keywords
On the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.07.022
Abstract: Abstract Using the Euler-Jacobi formula there is a relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with… read more here.
Keywords: differential systems; polynomial differential; topological indices; configurations singular ... See more keywords
Joint Estimation of Pose and Singular Points of Fingerprints
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Information Forensics and Security"
DOI: 10.1109/tifs.2020.3036803
Abstract: Fingerprint pose estimation is a challenging problem since the pose is not defined by salient anatomical features and fingerprint images usually suffer from noise and small area. In this article, we proposed a method for… read more here.
Keywords: singular points; pose estimation; joint estimation; pose singular ... See more keywords
A Method for Singular Points Detection Based on Faster-RCNN
Sign Up to like & getrecommendations! Published in 2018 at "Applied Sciences"
DOI: 10.3390/app8101853
Abstract: Most methods for singular points detection usually depend on the orientation fields of fingerprints, which cannot achieve reliable and accurate detection of poor quality fingerprints. In this study, a new method for fingerprint singular points… read more here.
Keywords: faster rcnn; detection; singular points; points detection ... See more keywords