Nonlinear Estimation and Classification

by Denison, David D.; Hansen, Mark H.; Holmes, Christopher C.; Mallick, Bani; Yu, Bin; Denison, David D.

• ISBN13: 9780387954714
• ISBN10: 0387954716
• Format: Paperback
• Copyright: 2003-03-01
• Publisher: Springer Verlag

Summary

Researchers in many disciplines now face the formidable task of processing massive amounts of high-dimensional and highly structured data. Advances in data collection and information technologies have coupled with innovations in computing to make commonplace the task of learning from complex data. As a result, fundamental statistical research is being undertaken in a variety of different fields. Driven by the difficulty of these newproblems, and fueled by the explosion of available computer power, highly adaptive, non-linear procedures are now essential components of modern ¿data analysis,¿a term that we liberally interpret to include speech and pattern recognition, classification, data compressionand image processing. The development of new, flexible methods combines advances from many sources, including approximation theory, numerical analysis, machine learning, signal processing and statistics.This volume collects 31 papers from a unique workshop designed to promote communication between these different disciplines. Held in the spring of 2001 at the Mathematical Sciences Research Institute in Berkeley,CA, the meeting brought together eminent experts from machine learning, artificial intelligence, applied mathematics, image analysis, signal processing, information theory, and optimization. In addition to presentationson fundamental methodological work, there were talkson complex applications like environmental modeling, network analysis, and bioinformatics.Statistics

Table of Contents

Introduction	1	(7)
David D. Denison
Mark H. Hansen
Christopher C. Holmes
Bani Mallick
Bin Yu
I Longer Papers	7	(228)
Wavelet Statistical Models and Besov Spaces	9	(22)
Hyeokho Choi
Richard G. Baraniuk
Coarse-to-Fine Classification and Scene Labeling	31	(18)
Donald Geman
Environmental Monitoring Using a Time Series of Satellite Images and Other Spatial Data Sets	49	(14)
Harri Kiiveri
Peter Caccetta
Norm Campbell
Fiona Evans
Suzanne Furby
Jeremy Wallace
Traffic Flow on a Freeway Network	63	(20)
Peter Bickel
Chao Chen
Jaimyoung Kwon
John Rice
Pravin Varaiya
Erik van Zwet
Internet Traffic Tends Toward Poisson and Independent as the Load Increases	83	(28)
Jin Cao
William S. Cleveland
Dong Lin
Don X. Sun
Regression and Classification with Regularization	111	(18)
Sayan Mukherjee
Ryan Rifkin
Tomaso Poggio
Optimal Properties and Adaptive Tuning of Standard and Nonstandard Support Vector Machines	129	(20)
Grace Wahba
Yi Lin
Yoonkyung Lee
Hao Zhang
The Boosting Approach to Machine Learning: An Overview	149	(24)
Robert E. Schapire
Improved Class Probability Estimates from Decision Tree Models	173	(16)
Dragos D. Margineantu
Thomas G. Dietterich
Gauss Mixture Quantization: Clustering Gauss Mixtures	189	(24)
Robert M. Gray
Extended Linear Modeling with Splines	213	(22)
Jianhua Z. Huang
Charles J. Stone
II Shorter Papers	235	(2)
Adaptive Sparse Regression	237	(12)
Mario A. T. Figueiredo
Multiscale Statistical Models	249	(12)
Eric D. Kolaczyk
Robert D. Nowak
Wavelet Thresholding on Non-Equispaced Data	261	(12)
Maarten Jansen
Multi-Resolution Properties of Semi-Parametric Volatility Models	273	(12)
Enrico Capobianco
Confidence Intervals for Logspline Density Estimation	285	(12)
Charles Kooperberg
Charles J. Stone
Mixed-Effects Multivariate Adaptive Splines Models	297	(10)
Heping Zhang
Statistical Inference for Simultaneous Clustering of Gene Expression Data	307	(26)
Katherine S. Pollard
Mark J. van der Laan
Statistical Inference for Clustering Microarrays	323	(10)
Jorg Rahnenfuhrer
Logic Regression - Methods and Software	333	(12)
Ingo Ruczinski
Charles Kooperberg
Michael LeBlanc
Adaptive Kernels for Support Vector Classification	345	(12)
Robert Burbidge
Generalization Error Bounds for Aggregate Classifiers	357	(12)
Gilles Blanchard
Risk Bounds for CART Regression Trees	369	(12)
Servane Gey
Elodie Nedelec
On Adaptive Estimation by Neural Net Type Estimators	381	(12)
Sebastian Dohler
Ludger Ruschendorf
Nonlinear Function Learning and Classification Using RBF Networks with Optimal Kernels	393	(12)
Adam Krzyzak
Instability in Nonlinear Estimation and Classification: Examples of a General Pattern	405	(12)
Steven P. Ellis
Model Complexity and Model Priors	417	(12)
Angelika van der Linde
A Strategy for Compression and Analysis of Very Large Remote Sensing Data Sets	429	(14)
Amy Braverman
Targeted Clustering of Nonlinearly Transformed Gaussians	443	(10)
Juan K. Lin
Unsupervised Learning of Curved Manifolds	453	(14)
Vin de Silva
Joshua B. Tenenbaum
Anova DDP Models: A Review	467
Maria De Iorio
Peter Muller
Gary L. Rosner
Steven N. MacEachern