A two-step learning method for velocity estimation is presented. First, an efficient representation of velocity is found using a learning technique based on canonical correlation analysis. This results in a spherical representation. Then, given this new representation, the mapping from input data to velocity estimates are learned by minimizing the mean square error between the output and the de...

This paper introduces a symbolic time series representation using monotonic sub-sequences and bottom up segmentation. The representation minimizes the square error between the segments and their monotonic approximations. The representation can robustly classify the direction of a segment and is scale invariant with respect to the time and value dimensions. This paper describes two experiments. ...

A new region representation method (FrSq method) is proposed. The idea of the method is taken from the assumption, that often the essential part of the image is placed in its center. We recursively subdivide the image in one central square and a frame around it. The frame is investigated like 12 squares [6]. The algorithms for raster to FrSq representation and for FrSq to raster visualization a...

A 2-stab unit interval graph (2SUIG) is an axes-parallel unit square intersection graph where the unit squares intersect either of the two fixed lines parallel to the X-axis, distance 1 + (0 < < 1) apart. This family of graphs allow us to study local structures of unit square intersection graphs, that is, graphs with cubicity 2. The complexity of determining whether a tree has cubicity 2 is unk...

This paper proposes the bivariate noncentral chi-square (BNC) distribution by compounding the Poisson probabilities with the bivariate central chi-square distribution. The probability density and cumulative distribution functions of the joint distribution of the two noncentral chi-square variables are derived for arbitrary values of the correlation coefficient, degrees of freedom(s), and noncen...

Let G be the universal cover of the group of automorphisms of a symmetric tube domain and let P = L N be its Shilov boundary parabolic subgroup. This paper attaches an irreducible unitary representation of G to each of the (finitely many) L-orbits on n*. The Hilbert space of the representation consists of functions on the orbit which are square-integrable with respect to a certain L-equivariant...

To an irreducible square integrable representation π of a classical p-adic group, C. Mœglin has attached invariants Jord(π), πcusp and ǫπ . These triples classify square integrable representations modulo cuspidal data (assuming a natural hypothesis). The definition of these invariants in [M] is rather simple in terms of induced representations, except at one case when a coherent normalization o...

We investigated the frequency spectra and field distributions of a dielectric square resonator in a microwave experiment. Since such systems cannot be treated analytically, the experimental studies of their properties are indispensable. The momentum representation of the measured field distributions shows that all resonant modes are localized on specific classical tori of the square billiard. B...

Absfracf-This paper presents a general approach to the derivation of series expansions of second-order wide-sense stationary mean-square continuous random process valid over an infinite-time interval. The coefficients of the expansion are orthogonal and convergence is in the mean-square sense. The method of derivation is based on the integral representation of such processes. It covers both the...