In this paper, we study the approximation and estimation of s-concave densities via Rényi divergence. We first show that the approximation of a probability measure Q by an s-concave density exists and is unique via the procedure of minimizing a divergence functional proposed by [Ann. Statist.38 (2010) 2998-3027] if and only if Q admits full-dimensional support and a first moment. We also show c...

Tipping of a natural system, entailing loss ecosystem services, may be prevented by stable partial cooperation. The presence tipping points reverses the grim story that high level cooperation is hard to achieve and leaves large possible gains We investigate game with constant emissions piecewise linear response, well-known lake system concave-convex dynamics time-dependent emissions. back, lead...

In this paper we propose a regularized relaxation based graph matching algorithm. The graph matching problem is formulated as a constrained convex quadratic program, by relaxing the permutation matrix to a doubly stochastic one. To gradually push the doubly stochastic matrix back to a permutation one, a simple weighted concave regular term is added to the convex objective function. The concave ...

In contemporary convex geometry, the rapidly developing Lp-Brunn Minkowski theory is a modern analogue of the classical Brunn Minkowski theory. A cornerstone of this theory is the Lp-affine surface area for convex bodies. Here, we introduce a functional form of this concept, for log concave and s-concave functions. We show that the new functional form is a generalization of the original Lp-affi...

The recognition of human postures and gestures is considered to be highly relevant semantic information in videos and surveillance systems. We present a new three-step approach to classifying the posture or gesture of a person based on segmentation, classification, and aggregation. A background image is constructed from succeeding frames using motion compensation and shapes of people are segmen...

R d is log-concave if p = e where φ :Rd → [−∞,∞) is concave. We denote the class of all such densities p on R by Pd,0. Log-concave densities are always unimodal and have convex level sets. Furthermore, log-concavity is preserved under marginalization and convolution. Thus, the classes of log-concave densities can be viewed as natural nonparametric extensions of the class of Gaussian densities. ...

The relationship between the development of tension in sheets of fibroblasts and the orientation of these cells and collagen fibres in collagen gels was examined. Cell-containing, three-dimensional collagen gels were established in agarose-coated Epon dies measuring 10 mm X 4 mm X 4 mm, to which pieces of demineralized tooth and bone had been attached at opposite ends. Contraction of the gel in...

Published by the IEEE Computer Society 0018-9162/11/$26.00 © 2011 IEEE TRADITIONAL LINE DRAWING Archaeologists use several approaches to manually render line drawings of objects and scenes, including the grid method, as Figure 1b shows.2 The draftsman determines a coordinate system, measures the positions of convex and concave feature points using rulers, and records these measurements on milli...