35,345 research outputs found
Chromatic number of Euclidean plane
If the chromatic number of Euclidean plane is larger than four, but it is
known that the chromatic number of planar graphs is equal to four, then how
does one explain it? In my opinion, they are contradictory to each other. This
idea leads to confirm the chromatic number of the plane about its exact value
M-estimation in high-dimensional linear model
We mainly study the M-estimation method for the high-dimensional linear
regression model, and discuss the properties of M-estimator when the penalty
term is the local linear approximation. In fact, M-estimation method is a
framework, which covers the methods of the least absolute deviation, the
quantile regression, least squares regression and Huber regression. We show
that the proposed estimator possesses the good properties by applying certain
assumptions. In the part of numerical simulation, we select the appropriate
algorithm to show the good robustness of this methodComment: 16 pages,3 table
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