Results 121 to 130 of about 3,689 (160)

BLOWING UP IN THE CATEGORY OF FORMAL COMPLEX SPACES(Real Singularities and Real Algebraic Geometry)

BLOWING UP IN THE CATEGORY OF FORMAL COMPLEX SPACES(Real Singularities and Real Algebraic Geometry)
openaire  

Some of the next articles are maybe not open access.

Related searches:

Algebraic Geometry and Singularities

1996
I Resolution of Singularities.- Desingularisation en dimension 3 et caracteristique p.- 1 Differentes notions de desingularisation.- 2 Premiere reduction.- 3 Deuxieme reduction, construction d'un modele projectif.- 4 Troisieme reduction, birationnel devient projectif.- 5 Final: Morphisme projectif birationnel devient desingularisation.- Sur l'espace ...
A. Campillo, L. N. Macarro
exaly   +3 more sources

Singularities in Algebraic and Analytic Geometry

, 2000
Factoring the Jacobian by S. S. Abhyankar and A. Assi Weak normalization and weak subintegral closure by M. A. Vitulli Integral dependence and weak subintegrality by L. G. Roberts Singularities and direct-sum decompositions by R. Wiegand Valuations in algebra and geometry by S. D.
Caroline G. Melles, R. Michler
semanticscholar   +2 more sources

Algebraic geometry of singular learning machines and symmetry of generalization and training errors

Neurocomputing, 2005
A lot of hierarchical learning machines such as neural networks and normal mixtures are singular learning machines. In such a learning machine, the likelihood function cannot be approximated by any quadratic form, resulting that the conventional statistical theory does not hold.
Sumio Watanabe
exaly   +2 more sources

Recent advances in algebraic geometry and Bayesian statistics

Information Geometry, 2022
This article is a review of theoretical advances in the research field of algebraic geometry and Bayesian statistics in the last two decades. Many statistical models and learning machines which contain hierarchical structures or latent variables are ...
Sumio Watanabe
semanticscholar   +1 more source

Machine learning detects terminal singularities

Neural Information Processing Systems, 2023
Algebraic varieties are the geometric shapes defined by systems of polynomial equations; they are ubiquitous across mathematics and science. Amongst these algebraic varieties are Q-Fano varieties: positively curved shapes which have Q-factorial terminal ...
Tom Coates, A. Kasprzyk, Sara Veneziale
semanticscholar   +1 more source

Complex Algebraic Threefolds

, 2023
The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model program, this text is sure to become an essential reference in the field of birational geometry. Threefolds remain the interface between low
M. Kawakita
semanticscholar   +1 more source

Elliptic Leading Singularities and Canonical Integrands.

Physical Review Letters
In the well-studied genus zero case, bases of d log integrands with integer leading singularities define Feynman integrals that automatically satisfy differential equations in canonical form. Such integrand bases can be constructed without input from the
Ekta Chaubey, V. Sotnikov
semanticscholar   +1 more source

Singularities of algebraic subvarieties and problems of birational geometry

Proceedings of the Steklov Institute of Mathematics, 2009
The paper under review gives an account on how a method of estimating multiplicities of singularities on an algebraic variety can be applied to the problem of describing birational maps of rationally connected varieties. A variety is \textit{rationally connected} if any two general points on it can be joined by a rational curve.
openaire   +2 more sources

On the Geometry and Optimization of Polynomial Convolutional Networks

International Conference on Artificial Intelligence and Statistics
We study convolutional neural networks with monomial activation functions. Specifically, we prove that their parameterization map is regular and is an isomorphism almost everywhere, up to rescaling the filters.
Vahid Shahverdi, G. Marchetti, Kathlén Kohn   +2 more
semanticscholar   +1 more source