Topological learning for brain networks

Revisiting convolutional neural network on graphs with polynomial approximations of Laplace–Beltrami spectral filtering

(2021) Shih-Gu Huang et al.   NEURAL COMPUTING & APPLICATIONS

Fréchet means and Procrustes analysis in Wasserstein space

(2019) Yoav Zemel et al.   BERNOULLI

Improved state change estimation in dynamic functional connectivity using hidden semi-Markov models

(2019) Heather Shappell et al.   NEUROIMAGE

Predicting Clinical Outcomes in Glioblastoma: An Application of Topological and Functional Data Analysis

(2019) Lorin Crawford et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Statistical model for dynamically-changing correlation matrices with application to brain connectivity

(2019) Shih-Gu Huang et al.   JOURNAL OF NEUROSCIENCE METHODS

Classification of autism spectrum disorder by combining brain connectivity and deep neural network classifier

(2018) Yazhou Kong et al.   NEUROCOMPUTING

Human brain mapping: A systematic comparison of parcellation methods for the human cerebral cortex

(2018) Salim Arslan et al.   NEUROIMAGE

Topological Data Analysis

(2018) Larry Wasserman   Annual Review of Statistics and Its Application

Topological data analysis of single-trial electroencephalographic signals

(2018) Yuan Wang et al.   Annals of Applied Statistics

Imaging-based parcellations of the human brain

(2018) Simon B. Eickhoff et al.   NATURE REVIEWS NEUROSCIENCE

Optimal Mass Transport: Signal processing and machine-learning applications

(2017) Soheil Kolouri et al.   IEEE SIGNAL PROCESSING MAGAZINE

Methods for cleaning the BOLD fMRI signal

(2017) César Caballero-Gaudes et al.   NEUROIMAGE

Modeling and replicating statistical topology and evidence for CMB nonhomogeneity

(2017) Robert J. Adler et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

LCN: a random graph mixture model for community detection in functional brain networks

(2017) Christopher Bryant et al.   Statistics and Its Interface

Signal classification with a point process distance on the space of persistence diagrams

(2017) Andrew Marchese et al.   Advances in Data Analysis and Classification

Persistent homology analysis of brain artery trees

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

Behavior, sensitivity, and power of activation likelihood estimation characterized by massive empirical simulation

(2016) Simon B. Eickhoff et al.   NEUROIMAGE

Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids

(2016) Vanessa Robins et al.   PHYSICA D-NONLINEAR PHENOMENA

Reliability and reproducibility of individual differences in functional connectivity acquired during task and resting state

(2016) Lubdha M. Shah et al.   Brain and Behavior

SIFT2: Enabling dense quantitative assessment of brain white matter connectivity using streamlines tractography

(2015) Robert E. Smith et al.   NEUROIMAGE

Global tractography of multi-shell diffusion-weighted imaging data using a multi-tissue model

(2015) Daan Christiaens et al.   NEUROIMAGE

A multimodal approach for determining brain networks by jointly modeling functional and structural connectivity

(2015) Wenqiong Xue et al.   Frontiers in Computational Neuroscience

Fréchet Means for Distributions of Persistence Diagrams

(2014) Katharine Turner et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Persistent homology analysis of protein structure, flexibility, and folding

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

Sliced and Radon Wasserstein Barycenters of Measures

(2014) Nicolas Bonneel et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION

Multi-tissue constrained spherical deconvolution for improved analysis of multi-shell diffusion MRI data

(2014) Ben Jeurissen et al.   NEUROIMAGE

Persistence-Based Clustering in Riemannian Manifolds

(2013) Frédéric Chazal et al.   JOURNAL OF THE ACM

Persistent Brain Network Homology From the Perspective of Dendrogram

(2012) Hyekyoung Lee et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

MRtrix: Diffusion tractography in crossing fiber regions

(2012) J-Donald Tournier et al.   INTERNATIONAL JOURNAL OF IMAGING SYSTEMS AND TECHNOLOGY

Impact of in-scanner head motion on multiple measures of functional connectivity: Relevance for studies of neurodevelopment in youth

(2012) Theodore D. Satterthwaite et al.   NEUROIMAGE

Mapping Human Cortical Areas In Vivo Based on Myelin Content as Revealed by T1- and T2-Weighted MRI

(2011) M. F. Glasser et al.   JOURNAL OF NEUROSCIENCE

Modelling neural correlates of working memory: A coordinate-based meta-analysis

(2011) C. Rottschy et al.   NEUROIMAGE

The influence of head motion on intrinsic functional connectivity MRI

(2011) Koene R.A. Van Dijk et al.   NEUROIMAGE

Spurious but systematic correlations in functional connectivity MRI networks arise from subject motion

(2011) Jonathan D. Power et al.   NEUROIMAGE

Brain Network Analysis: Separating Cost from Topology Using Cost-Integration

(2011) Cedric E. Ginestet et al.   PLoS One

Lipschitz Functions Have L p -Stable Persistence

(2010) David Cohen-Steiner et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

A reproducible evaluation of ANTs similarity metric performance in brain image registration

(2010) Brian B. Avants et al.   NEUROIMAGE

Comparing Brain Networks of Different Size and Connectivity Density Using Graph Theory

(2010) Bernadette C. M. van Wijk et al.   PLoS One

Topology and data

(2009) Gunnar Carlsson   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Gromov-Hausdorff Stable Signatures for Shapes using Persistence

(2009) Frédéric Chazal et al.   COMPUTER GRAPHICS FORUM

Complex brain networks: graph theoretical analysis of structural and functional systems

(2009) Ed Bullmore et al.   NATURE REVIEWS NEUROSCIENCE

Whole-brain anatomical networks: Does the choice of nodes matter?

(2009) Andrew Zalesky et al.   NEUROIMAGE

Predicting human resting-state functional connectivity from structural connectivity

(2009) C. J. Honey et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Clustering high-dimensional data

(2009) Hans-Peter Kriegel et al.   ACM Transactions on Knowledge Discovery from Data

A dynamical systems approach to weighted graph matching

(2008) Michael M. Zavlanos et al.   AUTOMATICA

Mapping Anatomical Connectivity Patterns of Human Cerebral Cortex Using In Vivo Diffusion Tensor Imaging Tractography

(2008) Gaolang Gong et al.   CEREBRAL CORTEX

Heritability of “small-world” networks in the brain: A graph theoretical analysis of resting-state EEG functional connectivity

(2007) Dirk J. A. Smit et al.   HUMAN BRAIN MAPPING

Symmetric diffeomorphic image registration with cross-correlation: Evaluating automated labeling of elderly and neurodegenerative brain

(2007) B AVANTS et al.   MEDICAL IMAGE ANALYSIS