In order to understand AdaBoost’s dynamics, especially its ability to maximize margins, we derive an associated simplified nonlinear iterated map and analyze its behavior in low-dimensional cases. We find stable cycles for these cases, which can explicitly be used to solve for AdaBoost’s output. By considering AdaBoost as a dynamical system, we are able to prove Rätsch and Warmuth’s conjecture ...

In this paper, we propose a geometrical compensation algorithm for multiview image captured by an arc multi-camera array. To capture multiview image or multiview video, we require more than two cameras arranged on a multicamera array. This multi-camera array, however, has geometrical errors since it is manually built. These errors are related to the mismatch in the vertical and horizontal direc...

Practical GIS generalisation using existing Arc/Info operations invariably follows a simple, generic generalisation algorithm. Typically the algorithm consists of dissolving adjacent polygons with the same attribute value, line generalisation, selection of all polygons of small area, and elimination of selected polygons by merging with the neighbouring polygon of largest area. This paper addres...

The main result in this note is that if X is a simple loop in the boundary of a compact, irreducible, orientable 3-manifold M and [X] ¥= 1 G trx(M), one can represent the centralizer of [X] in irx(M) by a Seifert fibred submanifold of M. Introduction. The main result in this note is a partial answer to a question of Jaco [2]. Jaco has shown in [2] that the centralizer of a nontrivial element in...

Volumetric modulated arc therapy (VMAT) has found widespread clinical application in recent years. A large number of treatment planning studies have evaluated the potential for VMAT for different disease sites based on the currently available commercial implementations of VMAT planning. In contrast, literature on the underlying mathematical optimization methods used in treatment planning is sca...

ARC (accumulation and replication of chloroplasts) genes control different aspects of the chloroplast division process in higher plants. In order to establish the hierarchy of the ARC genes in the chloroplast division process and to provide evidence for their specific roles, double mutants were constructed between arc11, arc6, arc5, arc3 and arc1 in all combinations and phenotypically analysed....

The Hayman-Wu theorem states that the preimage of a line or circle L under a conformal mapping from the unit disc D to a simplyconnected domain Ω has total Euclidean length bounded by an absolute constant. The best possible constant is known to lie in the interval [π, 4π), thanks to work of Øyma and Rohde. Earlier, Brown Flinn showed that the total length is at most π in the special case in whi...

The purpose of the MAP mission is to determine the geometry, content, and evolution of the universe via a 13 arc-min full-width-half-max (FWHM) resolution full sky map of the temperature anisotropy of the cosmic microwave background radiation with uncorrelated pixel noise, minimal systematic errors, multifrequency observations, and accurate calibration. These attributes were key factors in the ...

The purpose of the MAP mission is to determine the geometry, content, and evolution of the universe via a 13 arc-min full-width-half-max (FWHM) resolution full sky map of the temperature anisotropy of the cosmic microwave background radiation with uncorrelated pixel noise, minimal systematic errors, multifrequency observations, and accurate calibration. These attributes were key factors in the ...

Map of geological cross section is the most intuitive expression strata in vertical direction. Realizing automatic filling lithologic patterns and reflecting changes stratum curvature are important contents map drawing. The traditional pattern method can not show change rock dip angle. To solve this problem, an algorithm drawing based on arc fitting proposed. By analyzing mathematical relations...