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TIT
2002
89views more  TIT 2002»
13 years 4 months ago
Universal linear least squares prediction: Upper and lower bounds
We consider the problem of sequential linear prediction of real-valued sequences under the square-error loss function. For this problem, a prediction algorithm has been demonstrate...
Andrew C. Singer, Suleyman Serdar Kozat, Meir Fede...
TSP
2008
114views more  TSP 2008»
13 years 4 months ago
Universal Switching Linear Least Squares Prediction
We consider sequential regression of individual sequences under the square error loss. Using a competitive algorithm framework, we construct a sequential algorithm that can achieve...
Suleyman Serdar Kozat, Andrew C. Singer
MA
2010
Springer
132views Communications» more  MA 2010»
13 years 3 months ago
Model selection by sequentially normalized least squares
Model selection by the predictive least squares (PLS) principle has been thoroughly studied in the context of regression model selection and autoregressive (AR) model order estima...
Jorma Rissanen, Teemu Roos, Petri Myllymäki
FOCS
2008
IEEE
13 years 11 months ago
Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums
We study the properties of embeddings, multicommodity flows, and sparse cuts in minor-closed families of graphs which are also closed under 2-sums; this includes planar graphs, g...
Amit Chakrabarti, Alexander Jaffe, James R. Lee, J...
TIT
1998
96views more  TIT 1998»
13 years 4 months ago
Nonparametric Estimation of Transfer Functions: Rates of Convergence and Adaptation
Abstract— The paper deals with estimating transfer functions of stable linear time-invariant systems under stochastic assumptions. We adopt a nonparametric minimax approach for m...
Alexander Goldenshluger