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» A numerical algorithm for zero counting, I: Complexity and a...
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71
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JC
2008
77views more  JC 2008»
14 years 9 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...
COCO
2005
Springer
106views Algorithms» more  COCO 2005»
15 years 3 months ago
The Complexity of the Inertia and Some Closure Properties of GapL
The inertia of an n × n matrix A is defined as the triple (i+(A), i−(A), i0(A)), where i+(A), i−(A), and i0(A) are the number of eigenvalues of A, counting multiplicities, w...
Thanh Minh Hoang, Thomas Thierauf
87
Voted
CORR
2007
Springer
79views Education» more  CORR 2007»
14 years 9 months ago
Type-II/III DCT/DST algorithms with reduced number of arithmetic operations
We present algorithms for the discrete cosine transform (DCT) and discrete sine transform (DST), of types II and III, that achieve a lower count of real multiplications and additi...
Xuancheng Shao, Steven G. Johnson
CORR
2007
Springer
93views Education» more  CORR 2007»
14 years 9 months ago
Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic operations
We present algorithms for the type-IV discrete cosine transform (DCT-IV) and discrete sine transform (DST-IV), as well as for the modified discrete cosine transform (MDCT) and it...
Xuancheng Shao, Steven G. Johnson
PODS
2010
ACM
306views Database» more  PODS 2010»
15 years 2 months ago
Optimizing linear counting queries under differential privacy
Differential privacy is a robust privacy standard that has been successfully applied to a range of data analysis tasks. But despite much recent work, optimal strategies for answe...
Chao Li, Michael Hay, Vibhor Rastogi, Gerome Mikla...