Principal whitened gradient-projection algorithm for distribution control

Principal whitened gradient for information geometry

We propose two strategies to improve the optimization in information geometry. First, a local Euclidean embedding is identified by whitening the tangent space, which leads to an additive parameter update sequence that approximates the geodesic flow to the optimal density model. Second, removal of the minor components of gradients enhances the estimation of the Fisher information matrix and redu...

Averaged Mappings and the Gradient-Projection Algorithm

It is well known that the gradient-projection algorithm (GPA) plays an important role in solving constrained convex minimization problems. In this article, we first provide an alternative averaged mapping approach to the GPA. This approach is operator-oriented in nature. Since, in general, in infinite-dimensional Hilbert spaces, GPA has only weak convergence, we provide two modifications of GPA...

Principal Components of Gradient Distribution for Aerial Images Segmentation

Aerial images segmentation is a principal task in many applications of remote sensing such as natural disaster monitoring, residential area detection and etc. This paper presents a new method for aerial images segmentation. The method can distinct urban terrains from non-urban terrains using a supervised learning algorithm. Extracted feature for image description is based on principal component...

A Simplex Algorithm - Gradient Projection Method for Nonlinear Programming

W i tzgal l [ 7 L comment ing on the gradient project ion methods of R . Frlsch and J . B . Rosen , states: "More or less a l l algori thms for solving the l inear programming problem are known to be modificat ions of an algori thm for matrix inversion . Thus the simplex method corresponds to the Gauss-Jordan method . The methods of Frisch and Rosen are based on an interest ing method for inver...

A Gradient Projection Algorithm for Side-constrained Traffic Assignment