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COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 3 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
FOCS
2004
IEEE
14 years 9 days ago
Dynamic Optimality -- Almost
We present an O(lg lg n)-competitive online binary search tree, improving upon the best previous (trivial) competitive ratio of O(lg n). This is the first major progress on Sleator...
Erik D. Demaine, Dion Harmon, John Iacono, Mihai P...
ESA
2008
Springer
137views Algorithms» more  ESA 2008»
13 years 10 months ago
An Almost Space-Optimal Streaming Algorithm for Coresets in Fixed Dimensions
We present a new streaming algorithm for maintaining an -kernel of a point set in Rd using O((1/(d-1)/2 ) log(1/)) space. The space used by our algorithm is optimal up to a small ...
Hamid Zarrabi-Zadeh
UAI
2008
13 years 10 months ago
Almost Optimal Intervention Sets for Causal Discovery
We conjecture that the worst case number of experiments necessary and sufficient to discover a causal graph uniquely given its observational Markov equivalence class can be specif...
Frederick Eberhardt
FCT
2005
Springer
14 years 2 months ago
Almost Optimal Explicit Selectors
We understand selection by intersection as distinguishing a single element of a set by the uniqueness of its occurrence in some other set. More precisely, given two sets A and B, i...
Bogdan S. Chlebus, Dariusz R. Kowalski