A survey of cross-validation procedures for model selection

S Arlot, A Celisse - 2010 - projecteuclid.org
Used to estimate the risk of an estimator or to perform model selection, cross-validation is a
widespread strategy because of its simplicity and its (apparent) universality. Many results …

[BOOK][B] Table of integrals, series, and products

D Zwillinger, A Jeffrey - 2000 - books.google.com
The Table of Integrals, Series, and Products is the major reference source for integrals in the
English language. It is designed for use by mathematicians, scientists, and professional …

[BOOK][B] The structure of complex networks: theory and applications

E Estrada - 2012 - books.google.com
This book deals with the analysis of the structure of complex networks by combining results
from graph theory, physics, and pattern recognition. The book is divided into two parts. 11 …

The instanton method and its numerical implementation in fluid mechanics

T Grafke, R Grauer, T Schäfer - Journal of Physics A …, 2015 - iopscience.iop.org
A precise characterization of structures occurring in turbulent fluid flows at high Reynolds
numbers is one of the last open problems of classical physics. In this review we discuss …

Network topology inference from spectral templates

S Segarra, AG Marques, G Mateos… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
We address the problem of identifying the structure of an undirected graph from the
observation of signals defined on its nodes. Fundamentally, the unknown graph encodes …

[HTML][HTML] The ab-initio density matrix renormalization group in practice

R Olivares-Amaya, W Hu, N Nakatani… - The Journal of …, 2015 - pubs.aip.org
The ab-initio density matrix renormalization group (DMRG) is a tool that can be applied to a
wide variety of interesting problems in quantum chemistry. Here, we examine the density …

[BOOK][B] Modern algorithms of cluster analysis

ST Wierzchoń, MA Kłopotek - 2018 - Springer
This chapter characterises the scope of this book. It explains the reasons why one should be
interested in cluster analysis, lists major application areas, basic theoretical and practical …

Metrics for graph comparison: a practitioner's guide

P Wills, FG Meyer - Plos one, 2020 - journals.plos.org
Comparison of graph structure is a ubiquitous task in data analysis and machine learning,
with diverse applications in fields such as neuroscience, cyber security, social network …

Minimal penalties and the slope heuristics: a survey

S Arlot - Journal de la société française de statistique, 2019 - numdam.org
Birgé and Massart proposed in 2001 the slope heuristics as a way to choose optimally from
data an unknown multiplicative constant in front of a penalty. It is built upon the notion of …

Abrupt transition in the structural formation of interconnected networks

F Radicchi, A Arenas - Nature Physics, 2013 - nature.com
Our world is linked by a complex mesh of networks through which information, people and
goods flow. These networks are interdependent on each other, and present structural and …