We study the weight space structure of the parity machine with binary weights by deriving the distribution of volumes associated to the internal representations of the learning examples. The learning behaviour and the symmetry breaking transition are analyzed and the results are found to be in very good agreement with extended numerical simulations. PACS Numbers : 05.20 64.60 87.10 Typeset usin...

Using effective Lagrangian arguments, I explore the qualitative behavior expected at finite temperature for two-flavor lattice QCD formulated with Wilson fermions and a twisted mass term. A rather rich phase structure is predicted, exhibiting Aoki’s parity violating phase along with a deconfinement region forming a conical structure in the space of coupling, hopping parameter, and twisted mass ...

There is no automorphism of the conformal superalgebra that induces PT (parity and time reversal) on space time. Those conformal transformations that induce PT must change the sign of the odd brackets. In particular, in any implementation of conformal supersymmetry, CP can preserve but CPT must (at best) reverse the sign of the odd brackets (C, charge conjugation).

Scatterograms of images of training vectors in the hidden space help to evaluate the quality of neural network mappings and understand internal representations created by the hidden layers. Visualization of these representations leads to interesting conclusions about optimal architectures and training of such networks. The usefulness of visualization techniques is illustrated on parity problems...

We discuss the implications of the recent measurement of the Bs −Bs oscillation frequency ∆Ms on the parameter space of R-parity violating supersymmetry. For completeness, we also discuss the bounds coming from leptonic, semileptonic, and nonleptonic B decay modes, and point out some possibly interesting channels at LHC.

We investigate parity-violating observables in the np system, including the longitudinal asymmetry and neutron-spin rotation in ~np elastic scattering, the photon asymmetry in ~np radiative capture, and the asymmetries in deuteron photo-disintegration d(~γ, n)p in the threshold region and electrodisintegration d(~e, e)np in quasi-elastic kinematics. To have an estimate of the model dependence f...