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We obtain new mixed-norm estimates and geometric results on projections. In the proof we introduce a new quantity called s-amplitude, and interpolate analytically not only on p,q, but also on dimensio...
Migrating storms and local weather systems known as cyclones and anticyclones were thought to contribute to behaviors and properties of our global weather system. However, the means to probe cyclones ...
There are many realistic settings where two mutually suspicious parties need to share some specific information while keeping everything else private. Various privacy-preserving techniques (such as Pr...
Assessing vulnerability and potential impacts associated with extreme discharges requires an accurate topographic description in order to estimate the extension of flooded areas. However, in most popu...
Any projection of a 3D scene into a wide-angle image unavoidably results in distortion. Current projection methods either bend straight lines in the scene, or locally distort the shapes of scene obj...
The phrase "the demography of Alzheimer's disease" may be the best litmus test to distinguish demographers from epidemiologists. A typical reaction to this phrase from ademographer is "why Alzheimer's...
The potential impact of future climate change on fruit fly species distribution was assessed in Uganda using two general circulation models (HADCM and CCCMA) and two future predicted CO2 emission sce...
Laser Scanning and Automatic Multi-Image Texturing of Surface Projections.
Texture-mapping in close-range photogrammetry focuses mostly on the generation of large-scale projections of 3D surfaces, the most common instance being that of orthoimaging. Today, photogrammetry i...
We propose methods for improving both the accuracy and efficiency of random projections, the popular dimension reduction technique in machine learning and data mining, particularly useful for estimati...
We present an improved version of random projections that takes advantage of marginal norms. Using a maximum likelihood estimator (MLE), marginconstrained random projections can improve estimation acc...
There has been considerable interest in random projections, an approximate algorithm for estimating distances between pairs of points in a high-dimensional vector space. Let A ∈ Rn×D be our n points i...
Many tasks (e.g., clustering) in machine learning only require the lα distances instead of the original data. For dimension reductions in the lα norm (0 < α ≤ 2), the method of stable random projectio...
For1 dimension reduction in the l1 norm, the method of Cauchy random projections multiplies the original data matrix A ∈ Rn×D with a random matrix R ∈ RD×k (k  D) whose entries are i.i.d. samples of ...
Human operators use an intuitive procedure of rotating laser scanner point clouds into specific projections when trying to understand the structure of buildings contained in the data. This procedure ...

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