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 …

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 …

On Bayes risk lower bounds

X Chen, Y Zhang - Journal of Machine Learning Research, 2016 - jmlr.org
This paper provides a general technique for lower bounding the Bayes risk of statistical
estimation, applicable to arbitrary loss functions and arbitrary prior distributions. A lower …

[图书][B] Algorithm Engineering

M Müller-Hannemann, S Schirra - 2001 - Springer
The systematic development of efficient algorithms has become a key technology for all
kinds of ambitious and innovative computer applications. With major parts of algorithmic …

On the integrality gap of binary integer programs with gaussian data

S Borst, D Dadush, S Huiberts, S Tiwari - Mathematical Programming, 2023 - Springer
For a binary integer program (IP) max c T x, A x≤ b, x∈{0, 1} n, where A∈ R m× n and c∈ R
n have independent Gaussian entries and the right-hand side b∈ R m satisfies that its …

Settling the complexity of local max-cut (almost) completely

R Elsässer, T Tscheuschner - International Colloquium on Automata …, 2011 - Springer
We consider the problem of finding a local optimum for the Max-Cut problem with FLIP-
neighborhood, in which exactly one node changes the partition. Schäffer and Yannakakis …

Smoothed efficient algorithms and reductions for network coordination games

S Boodaghians, R Kulkarni, R Mehta - arXiv preprint arXiv:1809.02280, 2018 - arxiv.org
Worst-case hardness results for most equilibrium computation problems have raised the
need for beyond-worst-case analysis. To this end, we study the smoothed complexity of …

Basis reduction and the complexity of branch-and-bound

G Pataki, M Tural, EB Wong - Proceedings of the twenty-first annual ACM …, 2010 - SIAM
The classical branch-and-bound algorithm for the integer feasibility problem has exponential
worst case complexity. We prove that it is surprisingly efficient on reformulations of (0.1), in …

Smoothed analysis: analysis of algorithms beyond worst case

B Manthey, H Röglin - IT-Information Technology, 2011 - degruyter.com
Viele Algorithmen sind in der Praxis effizient, obwohl ihre Laufzeit im Worst Case sehr
schlecht ist. Der Grund für diese Diskrepanz ist, dass die reine Betrachtung des Worst Case …

Integrality gaps for random integer programs via discrepancy

S Borst, D Dadush, D Mikulincer - Proceedings of the 2023 Annual ACM-SIAM …, 2023 - SIAM
In this work, we prove new bounds on the additive gap between the value of a random
integer program max c T x, Ax≤ b, x∈{0, 1} n with m constraints and that of its linear …