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COMPGEOM
2009
ACM
15 years 8 months ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani
APPML
2007
76views more  APPML 2007»
15 years 4 months ago
A distance bound for pseudospectra of matrix polynomials
In this note, we obtain a lower bound for the distance between the pseudospectrum of a matrix polynomial and a given point that lies out of it, generalizing a known result on pseu...
Panayiotis Psarrakos
131
Voted
JCSS
1998
65views more  JCSS 1998»
15 years 3 months ago
Good Degree Bounds on Nullstellensatz Refutations of the Induction Principle
This paper gives nearly optimal, logarithmic upper and lower bounds on the minimum degree of Nullstellensatz refutations (i.e., polynomials) of the propositional induction princip...
Samuel R. Buss, Toniann Pitassi
ICPR
2008
IEEE
15 years 10 months ago
Signature verification based on fusion of on-line and off-line kernels
The problem of signature verification is considered within the bounds of the kernel-based methodology of pattern recognition, more specifically, SVM principle of machine learning....
Vadim Mottl, Mikhail Lange, Valentina Sulimova, Al...
125
Voted
ECCC
2002
103views more  ECCC 2002»
15 years 4 months ago
Monotone complexity and the rank of matrices
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
Pavel Pudlák