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ML
2007
ACM
108views Machine Learning» more  ML 2007»
13 years 10 months ago
Unconditional lower bounds for learning intersections of halfspaces
We prove new lower bounds for learning intersections of halfspaces, one of the most important concept classes in computational learning theory. Our main result is that any statist...
Adam R. Klivans, Alexander A. Sherstov
APPROX
2010
Springer
148views Algorithms» more  APPROX 2010»
14 years 9 days ago
Learning and Lower Bounds for AC0 with Threshold Gates
In 2002 Jackson et al. [JKS02] asked whether AC0 circuits augmented with a threshold gate at the output can be efficiently learned from uniform random examples. We answer this ques...
Parikshit Gopalan, Rocco A. Servedio
FOCS
2008
IEEE
14 years 5 months ago
A Geometric Approach to Lower Bounds for Approximate Near-Neighbor Search and Partial Match
This work investigates a geometric approach to proving cell probe lower bounds for data structure problems. We consider the approximate nearest neighbor search problem on the Bool...
Rina Panigrahy, Kunal Talwar, Udi Wieder
FOCS
2006
IEEE
14 years 4 months ago
Higher Lower Bounds for Near-Neighbor and Further Rich Problems
We convert cell-probe lower bounds for polynomial space into stronger lower bounds for near-linear space. Our technique applies to any lower bound proved through the richness meth...
Mihai Patrascu, Mikkel Thorup
ICPR
2010
IEEE
14 years 5 months ago
A Bound on the Performance of LDA in Randomly Projected Data Spaces
We consider the problem of classification in nonadaptive dimensionality reduction. Specifically, we bound the increase in classification error of Fisher’s Linear Discriminant...
Robert John Durrant, Ata Kaban