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DAGSTUHL
2007
15 years 6 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
EUROCRYPT
1995
Springer
15 years 8 months ago
A Generalization of Linear Cryptanalysis and the Applicability of Matsui's Piling-Up Lemma
Matsui's linear cryptanalysis for iterated block ciphers is generalized by replacing his linear expressions with I O sums. For a single round, an I O sum is the XOR of a balan...
Carlo Harpes, Gerhard G. Kramer, James L. Massey
IJAR
2006
80views more  IJAR 2006»
15 years 4 months ago
Operations for inference in continuous Bayesian networks with linear deterministic variables
An important class of continuous Bayesian networks are those that have linear conditionally deterministic variables (a variable that is a linear deterministic function of its pare...
Barry R. Cobb, Prakash P. Shenoy
FOCS
2008
IEEE
15 years 11 months ago
Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums
We study the properties of embeddings, multicommodity flows, and sparse cuts in minor-closed families of graphs which are also closed under 2-sums; this includes planar graphs, g...
Amit Chakrabarti, Alexander Jaffe, James R. Lee, J...
STOC
1996
ACM
100views Algorithms» more  STOC 1996»
15 years 9 months ago
The Linear-Array Conjecture in Communication Complexity is False
A linear array network consists of k + 1 processors P0; P1; : : : ; Pk with links only between Pi and Pi+1 0 i k. It is required to compute some boolean function f x; y in this n...
Eyal Kushilevitz, Nathan Linial, Rafail Ostrovsky