منابع مشابه
Projections onto linear subspaces
Viewing vector/matrix multiplications as " projections onto linear subspaces " is one of the most useful ways to think about these operations. In this note, I'll put together necessary pieces to achieve this understanding.
متن کاملIdeal Projections onto Planes
In this paper we classify all ideal projections from C[x, y] onto the linear span of 1, x, y. In particular we show that every such projection is a limit of interpolating projections. That verifies one particular case of a conjecture of C. deBoor. §
متن کاملExact Projections onto the Hemisphere
Recent approaches to realistic image synthesis have split the rendering process into two passes. The first pass calculates an approximate global illumination solution, the second generates an image of high quality from a given view point using the illumination solution obtained in the first pass. This paper discusses a new method for projecting polygons onto the hemisphere which is the central ...
متن کاملSparse projections onto the simplex
Most learning methods with rank or sparsity constraints use convex relaxations, which lead to optimization with the nuclear norm or the `1-norm. However, several important learning applications cannot benefit from this approach as they feature these convex norms as constraints in addition to the non-convex rank and sparsity constraints. In this setting, we derive efficient sparse projections on...
متن کاملConsecutive projections onto convex sets.
In this note we describe and evaluate the performance of a novel approach to information recovery that involves consecutive projection onto convex sets (POCS). The method is applied to a time series of medical image data and the results are compared to images reconstructed using the standard POCS reconstruction method. The consecutive POCS method converges in a desired step-wise manner producin...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-04645-6