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» Tensor Rank: Some Lower and Upper Bounds
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CORR
2010
Springer
84views Education» more  CORR 2010»
15 years 6 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»
15 years 1 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»
16 years 7 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
16 years 1 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
16 years 24 days 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