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» Tensor Rank: Some Lower and Upper Bounds
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CORR
2010
Springer
84views Education» more  CORR 2010»
14 years 10 months ago
On some invariants in numerical semigroups and estimations of the order bound
Let S = {si}iIN IN be a numerical semigroup. For si S, let (si) denote the number of pairs (si -sj, sj) S2 . When S is the Weierstrass semigroup of a family {Ci}iIN of one-point...
Anna Oneto, Grazia Tamone
JCT
2011
104views more  JCT 2011»
14 years 5 months ago
Bounds for solid angles of lattices of rank three
We find sharp absolute constants C1 and C2 with the following property: every well-rounded lattice of rank 3 in a Euclidean space has a minimal basis so that the solid angle spann...
Lenny Fukshansky, Sinai Robins
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
15 years 10 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
COCOON
2009
Springer
15 years 4 months ago
HITS Can Converge Slowly, but Not Too Slowly, in Score and Rank
This paper explores the fundamental question of how many iterations the celebrated HITS algorithm requires on a general graph to converge in score and, perhaps more importantly, in...
Enoch Peserico, Luca Pretto
COLT
2007
Springer
15 years 4 months ago
A Lower Bound for Agnostically Learning Disjunctions
We prove that the concept class of disjunctions cannot be pointwise approximated by linear combinations of any small set of arbitrary real-valued functions. That is, suppose there ...
Adam R. Klivans, Alexander A. Sherstov