It was recently noted that the dispersion relation for the magnons of planar N = 4 SYM can be identified with the Casimir of a certain deformation of the Poincaré algebra, in which the energy and momentum operators are supplemented by a boost generator J . By considering the relationship between J and su(2|2)⋉R2, we derive a q-deformed super-Poincaré symmetry algebra of the kinematics. Using th...

A hybrid adaptive subtraction scheme is proposed. This hybrid scheme uses predictionerror filters as covariance operators within the filter-estimation step. This methods proves to be the most efficient when the noise and signal interfere. Although prediction-error filters are utilized, this technique is not a pattern-recognition technique: it simply tries to remove the correlated signal informa...

We investigate the combined use of multiple structuring elements with the standard morphological texture characterization tools, namely morphological covariance and granulometry. The resulting operator is applied to both grayscale and color images in the context of texture classi cation. As to its extension to color texture data, it is realized by means of a weighting based reduced vector order...

While kernel canonical correlation analysis (CCA) has been applied in many contexts, the convergence of finite sample estimates of the associated functions to their population counterparts has not yet been established. This paper gives a mathematical proof of the statistical convergence of kernel CCA, providing a theoretical justification for the method. The proof uses covariance operators defi...

In this article we describe EANT2, Evolutionary Acquisition of Neural Topologies, Version 2, a method that creates neural networks by evolutionary reinforcement learning. The structure of the networks is developed using mutation operators, starting from a minimal structure. Their parameters are optimised using CMA-ES, Covariance Matrix Adaptation Evolution Strategy, a derandomised variant of ev...

Angular-momentum variables represent basic observables both in classical and quantum optics, specially in three fundamental areas: polarization, interferometry and light-matter interaction [1–10]. For definiteness, throughout we focus on intrinsic (not orbital) angular momenta. This is for example the case of the Stokes parameters, which provide a complete account of secondorder (in complex amp...

The quantum analogue of general relativistic geometry should be implementable on smooth manifolds without an a priori metric structure, whence the kinematical covariance group acts by diffeomorphisms. Here I approach quantum gravity (QG) in the view of constructive, algebraic quantum field theory (QFT). Comparing QG with usual QFT, the algebraic approach elucidates the analogies and peculiariti...

We prove that the log-determinant of the covariance matrix obeys the strong subadditivity inequality for arbitrary tripartite states of multimode continuous variable quantum systems. This establishes general limitations on the distribution of information encoded in the second moments of canonically conjugate operators. The inequality is shown to be stronger than the conventional strong subaddit...

This paper proposes a novel kernel approach to linear dimension reduction for supervised learning. The purpose of the dimension reduction is to find directions in the input space to explain the output as effectively as possible. The proposed method uses an estimator for the gradient of regression function, based on the covariance operators on reproducing kernel Hilbert spaces. In comparison wit...

have a white spectrum. In this paper I show how the residual can be whitened when coherent noise is present in the data. Outliers and noiseburst problems are not addressed here. They can be winnowed out by applying, iteratively, a locally re-weighted regression (Wang, White & Pratt 2000). In the first section I review some basics of inverse theory. Then in the following section I introduce two ...