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ICCD
2003
IEEE
109views Hardware» more  ICCD 2003»
14 years 4 months ago
Independent Test Sequence Compaction through Integer Programming
We discuss the compaction of independent test sequences for sequential circuits. Our first contribution is the formulation of this problem as an integer program, which we then so...
Petros Drineas, Yiorgos Makris
ISAAC
2009
Springer
132views Algorithms» more  ISAAC 2009»
14 years 2 months ago
Hilbert's Thirteenth Problem and Circuit Complexity
We study the following question, communicated to us by Mikl´os Ajtai: Can all explicit (e.g., polynomial time computable) functions f : ({0, 1}w )3 → {0, 1}w be computed by word...
Kristoffer Arnsfelt Hansen, Oded Lachish, Peter Br...
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 2 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
COLT
2006
Springer
13 years 11 months ago
Efficient Learning Algorithms Yield Circuit Lower Bounds
We describe a new approach for understanding the difficulty of designing efficient learning algorithms. We prove that the existence of an efficient learning algorithm for a circui...
Lance Fortnow, Adam R. Klivans
ISSAC
2009
Springer
121views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Faster real feasibility via circuit discriminants
We show that detecting real roots for honestly n-variate (n + 2)-nomials (with integer exponents and coefficients) can be done in time polynomial in the sparse encoding for any ...
Frédéric Bihan, J. Maurice Rojas, Ca...