Mathematics of Computation, Vol. 80, No. 275 (JULY 2011), pp. 1525-1556 (32 pages) We investigate Riesz bases of wavelets in Sobolev spaces and their applications to numerical solutions of the ...

Motivated by calibration problems in near-infrared (NIR) spectroscopy, we consider the linear regression setting in which the many predictor variables arise from sampling an essentially continuous ...

Wavelet analysis is a relatively new tool for data analysis and signal processing. Similar to Fourier analysis, wavelet analysis identifies dominant periods or scales in one-dimensional and ...

For certain classes of data that may be very expensive or difficult to obtain, a new statistical technique may provide useful information from a single data run by allowing meaningful re-sampling. The ...

Symmetric wavelet frames represent a powerful class of mathematical tools designed for efficient and robust representation of high-dimensional data. They combine the inherent benefits of wavelet ...

The Discrete Wavelet Transform (DWT) has gained the reputation of being a very effective signal analysis tool for many practical applications. This paper presents an approach towards VLSI ...