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Results 1 - 10
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8,253
Primal cutting plane algorithms revisited
- MATH METH OPER RES (2002) 56:67–81
, 2002
"... Dual fractional cutting plane algorithms, in which cutting planes are used to iteratively tighten a linear relaxation of an integer program, are wellknown and form the basis of the highly successful branch-and-cut method. It is rather less well-known that various primal cutting plane algorithms wer ..."
Abstract
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Cited by 9 (2 self)
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Dual fractional cutting plane algorithms, in which cutting planes are used to iteratively tighten a linear relaxation of an integer program, are wellknown and form the basis of the highly successful branch-and-cut method. It is rather less well-known that various primal cutting plane algorithms
CUTTING PLANE ALGORITHMS FOR INTEGER PROGRAMMING
, 1998
"... Cutting plane methods are exact algorithms for integer programming problems. They have proven to be very useful computationally in the last few years, especially when combined with a branch and bound algorithm in a branch and cut framework. These methods work by solving a sequence of linear programm ..."
Abstract
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Cited by 3 (0 self)
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Cutting plane methods are exact algorithms for integer programming problems. They have proven to be very useful computationally in the last few years, especially when combined with a branch and bound algorithm in a branch and cut framework. These methods work by solving a sequence of linear
Training Linear SVMs in Linear Time
, 2006
"... Linear Support Vector Machines (SVMs) have become one of the most prominent machine learning techniques for high-dimensional sparse data commonly encountered in applications like text classification, word-sense disambiguation, and drug design. These applications involve a large number of examples n ..."
Abstract
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Cited by 549 (6 self)
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as well as a large number of features N, while each example has only s << N non-zero features. This paper presents a Cutting-Plane Algorithm for training linear SVMs that provably has training time O(sn) for classification problems and O(sn log(n)) for ordinal regression problems. The algorithm
A CUTTING PLANE ALGORITHM FOR A CLUSTERING PROBLEM
, 1989
"... In this paper we consider a clustering problem that arises in qualitative data analysis. This problem can be transformed to a combinatorial optimization problem, the clique partitioning problem. We have studied the latter problem from a polyhedral point of view and determined large classes of facets ..."
Abstract
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Cited by 54 (1 self)
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of facets of the associated polytope. These theoretical results are utilized in this paper. We describe a cutting plane algorithm that is based on the simplex method and uses exact and heuristic separation routines for some of the classes of facets mentioned before. We discuss some details
Large margin methods for structured and interdependent output variables
- JOURNAL OF MACHINE LEARNING RESEARCH
, 2005
"... Learning general functional dependencies between arbitrary input and output spaces is one of the key challenges in computational intelligence. While recent progress in machine learning has mainly focused on designing flexible and powerful input representations, this paper addresses the complementary ..."
Abstract
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Cited by 624 (12 self)
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to accomplish this, we propose to appropriately generalize the well-known notion of a separation margin and derive a corresponding maximum-margin formulation. While this leads to a quadratic program with a potentially prohibitive, i.e. exponential, number of constraints, we present a cutting plane algorithm
Cutting Plane Algorithms for Semidefinite Relaxations
- TOPICS IN SEMIDEFINITE AND INTERIOR-POINT METHODS. FIELDS INSTITUTE COMMUNICATIONS SERIES VOL. 18, AMS
, 1997
"... We investigate the potential and limits of interior point based cutting ..."
Abstract
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Cited by 3 (0 self)
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We investigate the potential and limits of interior point based cutting
Footprint evaluation for volume rendering
- Computer Graphics
, 1990
"... This paper presents a forward mapping rendering algo-rithm to display regular volumetric grids that may not have the same spacings in the three grid directions. It takes advantage of the fact that convolution can be thought of as distributing energy from input samples into space. The renderer calcul ..."
Abstract
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Cited by 501 (1 self)
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calculates an image plane footprint for each data sample and uses the footprint to spread the sample's energy onto the image plane. A result of the technique is that the forward mapping algorithm can support perspective without excessive cost, and support adaptive resampling of the three
Routing with Guaranteed Delivery in ad hoc Wireless Networks
, 2001
"... We consider routing problems in ad hoc wireless networks modeled as unit graphs in which nodes are points in the plane and two nodes can communicate if the distance between them is less than some fixed unit. We describe the first distributed algorithms for routing that do not require duplication of ..."
Abstract
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Cited by 849 (80 self)
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We consider routing problems in ad hoc wireless networks modeled as unit graphs in which nodes are points in the plane and two nodes can communicate if the distance between them is less than some fixed unit. We describe the first distributed algorithms for routing that do not require duplication
A cutting plane algorithm for the max-cut problem
- OPTIMIZATION METHODS AND SOFTWARE
, 1994
"... In this paper we describe a cutting plane algorithm to solve max-cut problems on complete graphs. We show that the separation problem over the cut polytope can be reduced to the separation problem over the cut cone and we give a separation algorithm for a class of inequality valid over the cut con ..."
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Cited by 13 (2 self)
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In this paper we describe a cutting plane algorithm to solve max-cut problems on complete graphs. We show that the separation problem over the cut polytope can be reduced to the separation problem over the cut cone and we give a separation algorithm for a class of inequality valid over the cut
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