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The Entropy Rounding Method in Approximation Algorithms
The Entropy Rounding Method in Approximation Algorithms. Thomas Rothvoß∗. Abstract. Let A be a matrix, c be any linear objective function and.
entropymethod-SODA2012-cameraready.pdf

Slides - Department of Mathematics, University of Washington
The Entropy Rounding Method in. Approximation Algorithms. Thomas Rothvoß. Department of Mathematics, M.I.T.. Carg`ese 2011 ...
EntropyRounding.pdf

Slides - Department of Mathematics, University of Washington
The Entropy Rounding Method in. Approximation Algorithms. Thomas Rothvoß. Department of Mathematics, M.I.T.. SODA 2012 ...
EntropyRoundingSODA2012.pdf

approximation algorithms for multidimensional bin packing - CiteSeerX
3.3 A rounding based 1.5-approximation algorithm . . . . . . . . . . . . 57 ...... randomized rounding, primal-dual methods, dual-fitting, iterative methods, entropy-.
khan_thesis.pdf

Improved Algorithmic Bounds for Discrepancy of Sparse Set Systems
Feb 2, 2016 ... We give an algorithm that finds a coloring with discrepancy. O((t log n log ...... The entropy rounding method in approximation algorithms. In.
c68b6238bbf6b80eea9f5138d31f3a4c6766.pdf

Pipage Rounding, Pessimistic Estimators and Matrix Concentration
Rounding is a crucial step in the design of many approximation algorithms. Given a fractional vector satisfying some constraints, a rounding method produces an integer ... rounding and maximum entropy sampling are dependent rounding ...
23058C.pdf

An Approximation Algorithm for Max-Min Fair - Stanford University
a part of our algorithm, we design an iterative method for rounding a ... distributions on the matchings of the forest, the entropy of the distribution defined by our.
maxmin.pdf

An O(logn/log logn)-approximation Algorithm for the Asymmetric
are given a set V of n points and a cost function c : V × V →. R. + . The goal is .... Figure 1: An O(log n/ log log n)-approximation algorithm for the ATSP. as follows: c(f) := .... maximum entropy rounding scheme has been used in [2] for sampling a  ...
atsp.pdf

approximation Algorithm for the Asymmetric Traveling Salesman
rounding; Traveling salesman: approximation algorithm. Area of review ..... In Section 5, we formally define the maximum entropy sampling method and.
atsp.pdf

NEW ROUNDING TECHNIQUES FOR THE DESIGN AND
entropy rounding by sampling method and a novel use of higher eigenvectors of ... 1.1 New Approximation Algorithms to the Traveling Salesman Problem .
download?doi=10.1.1.406.7185&rep=rep1&type=pdf

Semidefinite Optimization in Discrepancy Theory
This result is based on a new and general method for rounding SDPs and several ... entropy method can also be used in the design of approximation algorithms.
disc-ismp-final.pdf

Advanced Rounding Techniques & Asymmetric Travelling - mimuw
Apr 3, 2013 ... Algorithm 1: Dependent Rounding while E .... way it would maximize the entropy function −∑T πT log πT (we sum over the set of all spanning.
06_rounding.pdf

Pipage Rounding, Pessimistic Estimators and Matrix Concentration
Jul 8, 2013 ... vector satisfying some constraints, a rounding method produces an integer ... rounding and maximum entropy sampling are dependent rounding ... approximation algorithm for the asymmetric traveling salesman problem [38].
1307.2274

Approximation algorithms for semidefinite packing problems with
feature of our method is that it treats both the Maxcut and the graph coloring problem ... and rounding strategy to develop an approximation algorithm for the graph ..... replace it by the relative entropy or the Kullback-Leibler (K-L) distance d(u, ...
tr-2004-06.pdf

A Combinatorial, Primal-Dual approach to - Satyen Kale
The second class consists of primal-dual approximation algorithms for NP-hard problems. Though .... the feedback function is inspired by SDP rounding algorithms from ARV[8] and ... using the quantum relative entropy as a potential function.
mmw.pdf

Non-monotone submodular maximization under matroid and
Feb 2, 2009 ... 5 − ǫ)-approximation algorithm for this problem subject to k knapsack constraints (ǫ > 0 is ... The maximum entropy sampling problem is as follows: Let A be the .... the fractional relaxation, nor their rounding method is directly ...
lee2009.pdf

Message-passing for Graph-structured Linear Programs - Journal of
randomized rounding schemes applicable to iterative LP-solving algorithms ... This intractability motivates the development and analysis of methods for obtaining approximate ..... However as stated above, this tree-reweighted entropy function.
ravikumar10a.pdf

Approximate maximum entropy principles via Goemans-Williamson
entropy principle to designing provable variational methods for partition function .... algorithms based on linear/semidefinite programming relaxations are known to ... for variational methods that proceed via a convex relaxation and a rounding  ...
6169-approximate-maximum-entropy-principles-via-goemans-williamson-with-applications-to-provable-variational-methods.pdf

A Randomized Rounding Approach to the Traveling Salesman
maximum entropy distribution defined by the linear programming relaxation. Despite ... The best known approximation algorithm for TSP has an approximation factor of 3. 2 and is .... Input: A set V of vertices and a cost function c : V × V → R. +.
tsp.pdf

The Multiplicative Weights Update Method: A Meta Algorithm and its
and cleaner than the entropy-based proofs for the same results in machine ... tion of randomized rounding algorithms; see our Section 3.4. Klivans and ...... exponential potential function4 and the approximation algorithm only needs to drive ...
MW-survey.pdf

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