Titlebook: Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Scienc; Novel Methods in Har Isaac Pesenson,Q

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An Overview of Numerical Acceleration Techniques for Nonlinear Dimension Reductionemia, industry, and government. Techniques from machine learning, namely nonlinear dimension reduction, seek to organize this wealth of data by extracting descriptive features. These techniques, though powerful in their ability to find compact representational forms, are hampered by their high compu

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Adaptive Density Estimation on the Circle by Nearly Tight Framesular, these estimators are based on local hard thresholding techniques; furthermore, they are constructed over the so-called Mexican needlet system, which describes a nearly tight frame over the circle. We prove that these estimators are adaptive and the rates of convergence for their ..-risks are o

Reservation

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Convergence and Regularization of Sampling Seriesethods, that in effect consist of mollifications of cardinal sine series, is discussed. One of the highlights is a result that shows how piecewise polynomial splines and certain variants can be regarded as such mollifications.

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2296-5009 heaf theory.Contains both deep theoretical results and innovThe second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between vari