Topological analysis of data

Network neuroscience

(2017) Danielle S Bassett et al.   NATURE NEUROSCIENCE

Solving the quantum many-body problem with artificial neural networks

(2017) Giuseppe Carleo et al.   SCIENCE

Persistent homology analysis of brain artery trees

(2016) Paul Bendich et al.   Annals of Applied Statistics

Topological persistence vineyard for dynamic functional brain connectivity during resting and gaming stages

(2016) Jaejun Yoo et al.   JOURNAL OF NEUROSCIENCE METHODS

Universal resilience patterns in complex networks

(2016) Jianxi Gao et al.   NATURE

Combining complex networks and data mining: Why and how

(2016) M. Zanin et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Hierarchical structures of amorphous solids characterized by persistent homology

(2016) Yasuaki Hiraoka et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Quantum algorithms for topological and geometric analysis of data

(2016) Seth Lloyd et al.   Nature Communications

Control of complex networks requires both structure and dynamics

(2016) Alexander J. Gates et al.   Scientific Reports

The Compressed Annotation Matrix: An Efficient Data Structure for Computing Persistent Cohomology

(2015) Jean-Daniel Boissonnat et al.   ALGORITHMICA

Persistent homology and many-body atomic structure for medium-range order in the glass

(2015) Takenobu Nakamura et al.   NANOTECHNOLOGY

Deep learning

(2015) Yann LeCun et al.   NATURE

Clique topology reveals intrinsic geometric structure in neural correlations

(2015) Chad Giusti et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Unveiling patterns of international communities in a global city using mobile phone data

(2015) Paolo Bajardi et al.   EPJ Data Science

Sharp vanishing thresholds for cohomology of random flag complexes

(2014) Matthew Kahle   ANNALS OF MATHEMATICS

Persistent homology analysis of protein structure, flexibility, and folding

(2014) Kelin Xia et al.   International Journal for Numerical Methods in Biomedical Engineering

Homological scaffolds of brain functional networks

(2014) G. Petri et al.   Journal of the Royal Society Interface

Morse Theory for Filtrations and Efficient Computation of Persistent Homology

(2013) Konstantin Mischaikow et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Persistent Homology of Collaboration Networks

(2013) C. J. Carstens et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

Topological Strata of Weighted Complex Networks

(2013) Giovanni Petri et al.   PLoS One

Topology of viral evolution

(2013) J. M. Chan et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival

(2011) M. Nicolau et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Topology and data

(2009) Gunnar Carlsson   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

MapReduce

(2008) Jeffrey Dean et al.   COMMUNICATIONS OF THE ACM

Understanding individual human mobility patterns

(2008) Marta C. González et al.   NATURE