The Conformal Predictions framework is a new game-theoretic approach to reliable machine learning, which provides a methodology to obtain error calibration under classification and regression settings. The framework combines principles of transductive inference, algorithmic randomness and hypothesis testing to provide guaranteed error calibration in online settings (and calibration in offline s...

We often change our behavior to conform to real or imagined group pressure. Social influence on our behavior has been extensively studied in social psychology, but its neural mechanisms have remained largely unknown. Here we demonstrate that the transient downregulation of the posterior medial frontal cortex by theta-burst transcranial magnetic stimulation reduces conformity, as indicated by re...

Background Conformal transformations change the scale but preserve angles, properties well-known from analytic transformations of complex functions. Theories possessing conformal symmetries currently attract a lot of interest in research and arise in many different contexts: they are a fundamental ingredient in string/M theory (M for membrane) and play a crucial for our understanding of phase t...

A new 8-dimensional conformal gauging avoids the unphysical size change, third order gravitational field equations, and auxiliary fields that prevent taking the conformal group as a fundamental symmetry. We give the structure equations, gauge transformations and intrinsic metric structure for the new biconformal spaces. We prove that a torsion-free biconformal space with exact Weyl form, closed...

on a finsler manifold, we define conformal vector fields and their complete lifts and prove that incertain conditions they are homothetic.

Representations of braid group obtained from rational conformal field theories can be used to obtain explicit representations of Temperley-Lieb-Jones algebras. The method is described in detail for SU(2) k Wess-Zumino conformal field theories and its generalization to an arbitrary rational conformal field theory outlined. Explicit definition of an associated linear trace operation in terms of a...

Conformal transformations of the following kinds are compared: (1) conformal coordinate transformations, (2) conformal transformations of Lagrangian models for a D-dimensional geometry, given by a Riemannian manifold M with metric g of arbitrary signature, and (3) conformal transformations of (mini-)superspace geometry. For conformal invariance under this transformations the following applicati...

We study a simple vertex operator algebra (VOA) V containing a set of mutually orthogonal simple conformal vectors ei : i = 1, ..., n with central charge 12 such that the sum is the Virasoro element. In [M3], the author showed that it defines two mutually orthogonal binary linear codes D and S. We prove that V is the only irreducible V -module if D = S⊥. Applying the way of constructing VOA giv...