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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»
12 years 1 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 11 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
14 years 5 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
14 years 3 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