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MFCS
2007
Springer
13 years 12 months ago
Semisimple Algebras of Almost Minimal Rank over the Reals
Abstract. A famous lower bound for the bilinear complexity of the multiplication in associative algebras is the Alder–Strassen bound. Algebras for which this bound is tight are c...
Markus Bläser, Andreas Meyer de Voltaire
COCO
2009
Springer
131views Algorithms» more  COCO 2009»
14 years 11 days ago
A Multi-Round Communication Lower Bound for Gap Hamming and Some Consequences
—The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to...
Joshua Brody, Amit Chakrabarti
STACS
2009
Springer
13 years 10 months ago
Asymptotically Optimal Lower Bounds on the NIH-Multi-Party Information Complexity of the AND-Function and Disjointness
Here we prove an asymptotically optimal lower bound on the information complexity of the k-party disjointness function with the unique intersection promise, an important special ca...
Andre Gronemeier
FOCS
2003
IEEE
13 years 11 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
STACS
2009
Springer
13 years 10 months ago
Lower Bounds for Multi-Pass Processing of Multiple Data Streams
ABSTRACT. This paper gives a brief overview of computation models for data stream processing, and it introduces a new model for multi-pass processing of multiple streams, the so-ca...
Nicole Schweikardt