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101
Voted
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
15 years 7 months ago
An Almost Optimal Rank Bound for Depth-3 Identities
—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zero is at most O(k3 log d). The previous best rank bound known was 2O(k2 ) (log d)k−2...
Nitin Saxena, C. Seshadhri
108
Voted
ICDT
1995
ACM
91views Database» more  ICDT 1995»
15 years 4 months ago
Some Positive Results for Boundedness of Multiple Recursive Rules
Following results are sketched in this extended abstract: (1) Datalog recursive programs where each rule has at most one subgoal called unit recursions are shown to be bounded, wit...
Ke Wang
ECCC
2011
188views ECommerce» more  ECCC 2011»
14 years 7 months ago
Three Query Locally Decodable Codes with Higher Correctness Require Exponential Length
Locally decodable codes are error correcting codes with the extra property that, in order to retrieve the correct value of just one position of the input with high probability, it...
Anna Gál, Andrew Mills
CDC
2010
IEEE
14 years 7 months ago
Stability robustness in the presence of exponentially unstable isolated equilibria
This note studies nonlinear systems evolving on manifolds with a finite number of asymptotically stable equilibria and a Lyapunov function which strictly decreases outside equilibr...
David Angeli, Laurent Praly
86
Voted
TIT
2008
74views more  TIT 2008»
15 years 18 days ago
Modular Representations of Polynomials: Hyperdense Coding and Fast Matrix Multiplication
A certain modular representation of multilinear polynomials is considered. The modulo 6 representation of polynomial f is just any polynomial f + 6g. The 1-a-strong representation ...
Vince Grolmusz