Closest point search in lattices
In this semitutorial paper, a comprehensive survey of closest point search methods for
lattices without a regular structure is presented. The existing search strategies are described …
lattices without a regular structure is presented. The existing search strategies are described …
[PDF][PDF] On the unique games conjecture
S Khot, NK Vishnoi - FOCS, 2005 - scholar.archive.org
On the Unique Games Conjecture Page 1 On the Unique Games Conjecture Subhash Khot
Courant Institute of Mathematical Sciences, NYU ∗ Abstract This article surveys recently …
Courant Institute of Mathematical Sciences, NYU ∗ Abstract This article surveys recently …
[KIRJA][B] An introduction to support vector machines and other kernel-based learning methods
N Cristianini - 2000 - books.google.com
This is the first comprehensive introduction to Support Vector Machines (SVMs), a new
generation learning system based on recent advances in statistical learning theory. SVMs …
generation learning system based on recent advances in statistical learning theory. SVMs …
[KIRJA][B] Parameterized complexity
RG Downey, MR Fellows - 2012 - books.google.com
The idea for this book was conceived over the second bottle of Villa Maria's Caber net
Medot'89, at the dinner of the Australasian Combinatorics Conference held at Palmerston …
Medot'89, at the dinner of the Australasian Combinatorics Conference held at Palmerston …
Proof verification and the hardness of approximation problems
We show that every language in NP has a probablistic verifier that checks membership
proofs for it using logarithmic number of random bits and by examining a constant number of …
proofs for it using logarithmic number of random bits and by examining a constant number of …
Approximation algorithms for NP-hard problems
DS Hochba - ACM Sigact News, 1997 - dl.acm.org
Approximation algorithms have developed in response to the impossibility of solving a great
variety of important optimization problems. Too frequently, when attempting to get a solution …
variety of important optimization problems. Too frequently, when attempting to get a solution …
Convexity, classification, and risk bounds
Many of the classification algorithms developed in the machine learning literature, including
the support vector machine and boosting, can be viewed as minimum contrast methods that …
the support vector machine and boosting, can be viewed as minimum contrast methods that …
[KIRJA][B] Complexity and approximation: Combinatorial optimization problems and their approximability properties
N COMPUTER applications we are used to live with approximation. Var I ious notions of
approximation appear, in fact, in many circumstances. One notable example is the type of …
approximation appear, in fact, in many circumstances. One notable example is the type of …
Probabilistic checking of proofs: A new characterization of NP
S Arora, S Safra - Journal of the ACM (JACM), 1998 - dl.acm.org
We give a new characterization of NP: the class NP contains exactly those languages L for
which membership proofs (a proof that an input x is in L) can be verified probabilistically in …
which membership proofs (a proof that an input x is in L) can be verified probabilistically in …
On the approximability of minimizing nonzero variables or unsatisfied relations in linear systems
We investigate the computational complexity of two closely related classes of combinatorial
optimization problems for linear systems which arise in various fields such as machine …
optimization problems for linear systems which arise in various fields such as machine …