64 research outputs found
A Comparison between Star Products on Regular Orbits of Compact Lie Groups
In this paper an algebraic star product and differential one defined on a
regular coadjoint orbit of a compact semisimple group are compared. It is
proven that there is an injective algebra homomorphism between the algebra of
polynomials with the algebraic star product and the algebra of differential
functions with the differential star product structure.Comment: AMS-LaTeX, 19 pages. Version to appear in the Journal of Physics
On algebraic supergroups, coadjoint orbits and their deformations
In this paper we study algebraic supergroups and their coadjoint orbits as
affine algebraic supervarieties. We find an algebraic deformation quantization
of them that can be related to the fuzzy spaces of non commutative geometry.Comment: 37 pages, AMS-LaTe
On the deformation quantization of affine algebraic varieties
We compute an explicit algebraic deformation quantization for an affine
Poisson variety described by an ideal in a polynomial ring, and inheriting its
Poisson structure from the ambient space.Comment: AMS-LaTeX, 20 page
The quantum chiral Minkowski and conformal superspaces
We give a quantum deformation of the chiral super Minkowski space in four
dimensions as the big cell inside a quantum super Grassmannian. The
quantization is performed in such way that the actions of the Poincar\'e and
conformal quantum supergroups on the quantum Minkowski and quantum conformal
superspaces are presented.Comment: 54 page
Quadratic deformation of Minkowski space
We present a deformation of the Minkowski space as embedded into the
conformal space (in the formalism of twistors) based in the quantum versions of
the corresponding kinematic groups. We compute explicitly the star product,
whose Poisson bracket is quadratic. We show that the star product although
defined on the polynomials can be extended differentiably. Finally we compute
the Eucliden and Minkowskian real forms of the deformation.Comment: Presented at XVII European Workshop on String Theory 2011. Padova
(Italy) September 05-09; Fortschr. Phys. 1-7 (2012
On chiral quantum superspaces
We give a quantum deformation of the chiral Minkowski superspace in 4
dimensions embedded as the big cell into the chiral conformal superspace. Both
deformations are realized as quantum homogeneous superspaces: we deform the
ring of regular functions together with a coaction of the corresponding quantum
supergroup.Comment: 36 pages. To appear in proceedings of 'SuperSymmetry in Mathematics
and Physics' February 6-19 UCL
Thermodynamics modeling of deep learning systems for a temperature based filter pruning technique
We analyse the dynamics of convolutional filters' parameters of a convolutional neural networks during and after training, via a thermodynamic analogy which allows for a sound definition of temperature. We show that removing high temperature filters has a minor effect on the performance of the model, while removing low temperature filters influences majorly both accuracy and loss decay. This result could be exploited to implement a temperature-based pruning technique for the filters and to determine efficiently the crucial filters for an effective learning
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