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» Estimating the Distance to a Monotone Function
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CSDA
2006
155views more  CSDA 2006»
13 years 6 months ago
Modelling the mean of a doubly stochastic Poisson process by functional data analysis
A new procedure for estimating the mean process of a doubly stochastic Poisson process is introduced. The proposed estimation is based on monotone piecewise cubic interpolation of...
P. R. Bouzas, Mariano J. Valderrama, Ana M. Aguile...
JMIV
2010
98views more  JMIV 2010»
13 years 4 months ago
Expectations of Random Sets and Their Boundaries Using Oriented Distance Functions
Shape estimation and object reconstruction are common problems in image analysis. Mathematically, viewing objects in the image plane as random sets reduces the problem of shape es...
Hanna K. Jankowski, Larissa I. Stanberry
FOCS
2009
IEEE
14 years 1 months ago
KKL, Kruskal-Katona, and Monotone Nets
We generalize the Kahn-Kalai-Linial (KKL) Theorem to random walks on Cayley and Schreier graphs, making progress on an open problem of Hoory, Linial, and Wigderson. In our general...
Ryan O'Donnell, Karl Wimmer
PRL
2006
146views more  PRL 2006»
13 years 6 months ago
Boosting the distance estimation: Application to the K-Nearest Neighbor Classifier
In this work we introduce a new distance estimation technique by boosting and we apply it to the K-Nearest Neighbor Classifier (KNN). Instead of applying AdaBoost to a typical cla...
Jaume Amores, Nicu Sebe, Petia Radeva
RANDOM
2001
Springer
13 years 10 months ago
Proclaiming Dictators and Juntas or Testing Boolean Formulae
We consider the problem of determining whether a given function ¢ £ ¤¥ ¦ §¨©  ¤¥ ¦ §¨ belongs to a certain class of Boolean functions  or whether it is far from the...
Michal Parnas, Dana Ron, Alex Samorodnitsky