Smoothed analysis: an attempt to explain the behavior of algorithms in practice

DA Spielman, SH Teng - Communications of the ACM, 2009 - dl.acm.org
ACM: Digital Library: Communications of the ACM ACM Digital Library Communications of the
ACM Volume 52, Number 10 (2009), Pages 76-84 Smoothed analysis: an attempt to explain …

Smoothed analysis of the k-means method

D Arthur, B Manthey, H Röglin - Journal of the ACM (JACM), 2011 - dl.acm.org
The k-means method is one of the most widely used clustering algorithms, drawing its
popularity from its speed in practice. Recently, however, it was shown to have exponential …

Worst-case and smoothed analysis of the ICP algorithm, with an application to the k-means method

D Arthur, S Vassilvitskii - 2006 47th Annual IEEE Symposium …, 2006 - ieeexplore.ieee.org
We show a worst-case lower bound and a smoothed upper bound on the number of
iterations performed by the iterative closest point (ICP) algorithm. First proposed by Besl and …

The smoothed analysis of algorithms

DA Spielman - … of Computation Theory: 15th International Symposium …, 2005 - Springer
LNCS 3623 - The Smoothed Analysis of Algorithms Page 1 The Smoothed Analysis of Algorithms
Daniel A. Spielman Department of Mathematics, Massachusetts Institute of Technology …

Typical properties of winners and losers in discrete optimization

R Beier, B Vöcking - Proceedings of the thirty-sixth annual ACM …, 2004 - dl.acm.org
We present a probabilistic analysis for a large class of combinatorial optimization problems
containing, eg, all binary optimization problems defined by linear constraints and a linear …

K-means has polynomial smoothed complexity

D Arthur, B Manthey, H Röglin - 2009 50th Annual IEEE …, 2009 - ieeexplore.ieee.org
The k-means method is one of the most widely used clustering algorithms, drawing its
popularity from its speed in practice. Recently, however, it was shown to have exponential …

Real-time scheduling with predictions

T Zhao, W Li, AY Zomaya - 2022 IEEE Real-Time Systems …, 2022 - ieeexplore.ieee.org
The recent revival in learning theory gives us improved capabilities for accurate predictions
and increased opportunities for performance enhancement. This work extends the research …

Beyond the worst case: Semi-random complexity analysis of winner determination

L **a, W Zheng - International Conference on Web and Internet …, 2022 - Springer
The computational complexity of winner determination is a classical and important problem
in computational social choice. Previous work based on worst-case analysis has established …

Smoothed analysis of multi-item auctions with correlated values

A Psomas, A Schvartzman, SM Weinberg - Proceedings of the 2019 …, 2019 - dl.acm.org
Consider a seller with m heterogeneous items for sale to a single additive buyer whose
values for the items are arbitrarily correlated. It was previously shown that, in such settings …

[PDF][PDF] Online optimization with lookahead

F Dunke - 2014 - core.ac.uk
Online optimization with lookahead deals with sequential decision making under incomplete
information where each decision must be made on the basis of a limited, but certain preview …