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» The Intersection of Two Halfspaces Has High Threshold Degree
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STOC
2012
ACM
209views Algorithms» more  STOC 2012»
11 years 7 months ago
Nearly optimal solutions for the chow parameters problem and low-weight approximation of halfspaces
The Chow parameters of a Boolean function f : {−1, 1}n → {−1, 1} are its n + 1 degree-0 and degree-1 Fourier coefficients. It has been known since 1961 [Cho61, Tan61] that ...
Anindya De, Ilias Diakonikolas, Vitaly Feldman, Ro...
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 5 months ago
Maximal Intersection Queries in Randomized Input Models
Consider a family of sets and a single set, called the query set. How can one quickly find a member of the family which has a maximal intersection with the query set? Time constra...
Benjamin Hoffmann, Mikhail Lifshits, Yury Lifshits...
CSR
2007
Springer
13 years 11 months ago
Maximal Intersection Queries in Randomized Graph Models
Consider a family of sets and a single set, called query set. How can one quickly find a member of the family which has a maximal intersection with the query set? Strict time cons...
Benjamin Hoffmann, Yury Lifshits, Dirk Nowotka
COMPGEOM
2010
ACM
13 years 10 months ago
Optimal partition trees
We revisit one of the most fundamental classes of data structure problems in computational geometry: range searching. Back in SoCG’92, Matouˇsek gave a partition tree method fo...
Timothy M. Chan