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» New Results on Noncommutative and Commutative Polynomial Ide...
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DAGSTUHL
2007
13 years 7 months ago
Diagonal Circuit Identity Testing and Lower Bounds
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
Nitin Saxena
CORR
2010
Springer
160views Education» more  CORR 2010»
13 years 5 months ago
New Results on Quantum Property Testing
We present several new examples of speed-ups obtainable by quantum algorithms in the context of property testing. First, motivated by sampling algorithms, we consider probability d...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
BMCBI
2006
148views more  BMCBI 2006»
13 years 5 months ago
Exploiting the full power of temporal gene expression profiling through a new statistical test: Application to the analysis of m
Background: The identification of biologically interesting genes in a temporal expression profiling dataset is challenging and complicated by high levels of experimental noise. Mo...
Veronica Vinciotti, Xiaohui Liu, Rolf Turk, Emile ...
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 10 days 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
BMCBI
2007
107views more  BMCBI 2007»
13 years 5 months ago
A general and efficient method for estimating continuous IBD functions for use in genome scans for QTL
Background: Identity by descent (IBD) matrix estimation is a central component in mapping of Quantitative Trait Loci (QTL) using variance component models. A large number of algor...
Francois Besnier, Örjan Carlborg