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ICFP
2008
ACM
14 years 7 months ago
Quotient lenses
There are now a number of bidirectional programming languages, where every program can be read both as a forward transformation mapping one data structure to another and as a reve...
J. Nathan Foster, Alexandre Pilkiewicz, Benjamin C...
ICML
2006
IEEE
14 years 8 months ago
Generalized spectral bounds for sparse LDA
We present a discrete spectral framework for the sparse or cardinality-constrained solution of a generalized Rayleigh quotient. This NPhard combinatorial optimization problem is c...
Baback Moghaddam, Yair Weiss, Shai Avidan
ISSAC
2004
Springer
86views Mathematics» more  ISSAC 2004»
14 years 1 months ago
Maximal quotient rational reconstruction: an almost optimal algorithm for rational reconstruction
Let n/d ∈ Q, m be a positive integer and let u = n/d mod m. Thus u is the image of a rational number modulo m. The rational reconstruction problem is; given u and m find n/d.
Michael B. Monagan
AMC
2006
80views more  AMC 2006»
13 years 7 months ago
Parallel preconditioned conjugate gradient optimization of the Rayleigh quotient for the solution of sparse eigenproblems
A parallel algorithm based on the multidimensional minimization of the Rayleigh quotient is proposed to evaluate the leftmost eigenpairs of the generalized symmetric positive defi...
Luca Bergamaschi, Angeles Martinez, Giorgio Pini
AISC
2010
Springer
13 years 12 months ago
Structured Formal Development with Quotient Types in Isabelle/HOL
General purpose theorem provers provide sophisticated proof methods, but lack some of the advanced structuring mechanisms found in specification languages. This paper builds on pr...
Maksym Bortin, Christoph Lüth