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Reviews: Topological Distances and Losses for Brain Networks [article]

Moo K. Chung, Alexander Smith, Gary Shiu
2021 arXiv   pre-print
Although there are many recent brain imaging studies that are based on TDA methods, possibly due to the lack of method awareness, TDA has not taken as the mainstream tool in brain imaging field yet.  ...  Almost all statistical and machine learning methods in analyzing brain networks rely on distances and loss functions, which are mostly Euclidean or matrix norms.  ...  We would like to thank Hill Goldsmith of University of Wisconsin for providing one subject rsfMRI data used in the figure, which came from the study Huang et al. (2019a) .  ... 
arXiv:2102.08623v1 fatcat:vxddeghphfefbbt6k2zhdzidgu

Cortical Geometry Network and Topology Markers for Parkinson's Disease [article]

Amanmeet Garg, Donghuan Lu, Karteek Popuri, Mirza Faisal Beg
2016 arXiv   pre-print
Here we present a novel method to study the alterations in brain cortical surface geometry in Parkinson's disease (PD) subjects with a Geometry Networks (GN) framework.  ...  We study its topology by computing the dimensionality of simplicial complexes induced on a filtration of binary undirected networks for each geometry network.  ...  The algorithmic basis of the package uses discrete Morse theory to reduce the size of the simplicial complexes to efficiently compute the PH features.  ... 
arXiv:1611.04393v1 fatcat:wljc4454d5e6bfk6i7ausv5szq

Mathematical Foundations in Visualization [article]

Ingrid Hotz, Roxana Bujack, Christoph Garth, Bei Wang
2019 arXiv   pre-print
their significance, and provide references for further reading.  ...  Mathematical concepts and tools have shaped the field of visualization in fundamental ways and played a key role in the development of a large variety of visualization techniques.  ...  A very useful and popular discrete theory is discrete Morse theory [37], which forms the base of many current algorithms for the extraction of the Morse-Smale complex, see also Section 7. 4 Symmetries  ... 
arXiv:1909.04835v1 fatcat:nkbcpt3unndz3mf7croq4yzjwi

26th Annual Computational Neuroscience Meeting (CNS*2017): Part 2

Leonid L. Rubchinsky, Sungwoo Ahn, Wouter Klijn, Ben Cumming, Stuart Yates, Vasileios Karakasis, Alexander Peyser, Marmaduke Woodman, Sandra Diaz-Pier, James Deraeve, Eliana Vassena, William Alexander (+473 others)
2017 BMC Neuroscience  
, parcellation of the MNI MRI single-subject brain.  ...  Only work), each subregion has certain function based on CRISP theory.  ... 
doi:10.1186/s12868-017-0371-2 fatcat:jkqnv4rvfvaj5g44xm5snzdqzy

Author Index

2011 Archives of Clinical Neuropsychology  
Method: At age 23, S.M. was referred for neuroimaging by psychiatry due to concern that a TBI from age 16 was the cause of recent onset aggressive behavior.  ...  Method: A 30-year-old Caucasian women with a history of PRES in the context of pre-eclampsia.  ...  to assess discrete components of attention, working memory, and executive functions using a hierarchical series of trials.  ... 
doi:10.1093/arclin/acr073 fatcat:2ghwpvjmmvcmribxkyf3bzpopa

Neural reuse: A fundamental organizational principle of the brain

Michael L. Anderson
2010 Behavioral and Brain Sciences  
prospects (and proper methods to employ) for function to structure mapping.  ...  An emerging class of theories concerning the functional structure of the brain takes the reuse of neural circuitry for various cognitive purposes to be a central organizational principle.  ...  There have been many attempts to specify what these functions are, based on a variety of theoretical approaches and data.  ... 
doi:10.1017/s0140525x10000853 pmid:20964882 fatcat:y7oh5ex7trgznd536qkje7quji

Multi-use and constraints from original use

Justin A. Jungé, Daniel C. Dennett
2010 Behavioral and Brain Sciences  
prospects (and proper methods to employ) for function to structure mapping.  ...  An emerging class of theories concerning the functional structure of the brain takes the reuse of neural circuitry for various cognitive purposes to be a central organizational principle.  ...  There have been many attempts to specify what these functions are, based on a variety of theoretical approaches and data.  ... 
doi:10.1017/s0140525x1000124x fatcat:fqf6iumyivdcjngl7smngzln5u

Neural reuse as a source of developmental homology

David S. Moore, Chris Moore
2010 Behavioral and Brain Sciences  
prospects (and proper methods to employ) for function to structure mapping.  ...  An emerging class of theories concerning the functional structure of the brain takes the reuse of neural circuitry for various cognitive purposes to be a central organizational principle.  ...  There have been many attempts to specify what these functions are, based on a variety of theoretical approaches and data.  ... 
doi:10.1017/s0140525x10001056 fatcat:umz4mtif3neenehn2yemystpd4

a need to know

William A. Spencer, Larry R. Gettman, H. H. Bridge, Allan J. Ryan
1983 Physician and sportsmedicine  
Decoding Brain States from fMRI Data with a Machine Learning Method-FElizabeth Chou Biopharmaceutical Section, Section on Risk Analysis Chair(s): John A. Wass, Quantum Cat Consultants 10:35 a.m.  ...  Optimizing Diffusion Cartograms for Areal Data Using a New Evaluation Method-FXiaoyue Cheng, University of Nebraska-Omaha 3:05 p.m.  ...  Professional Development This year marks the centennial of Statistics of Income (SOI), a principal Federal statistical agency responsible for the statistical policies and programs of the U.S.  ... 
doi:10.1080/00913847.1983.11708423 pmid:27409254 fatcat:7rlbreoerngb3epmighz7l5vr4

Phasic norepinephrine is a neural interrupt signal for unexpected events in rapidly unfolding sensory sequences – evidence from pupillometry [article]

Sijia Zhao, Maria Chait, Fred Dick, Peter Dayan, Shigeto Furukawa, Hsin-I Liao
2018 biorxiv/medrxiv   pre-print
A prominent theory (Dayan & Yu, 2006) proposes that the brain monitors for 'unexpected uncertainty' – events which deviate substantially from model predictions, indicating model failure.  ...  The results demonstrate that NE tracks 'unexpected uncertainty' on rapid time scales relevant to sensory signals.  ...  Our fitting method implied mainly Q-learning for a model-free approach, Partially Observable Markov Decision Process models (POMDP) for the model-based method and k-Tom model to model theory of mind.  ... 
doi:10.1101/466367 fatcat:a3bquw6n55amhodwmfoa2frboa

09251 Abstracts Collection – Scientific Visualization

David S. Ebert, Eduard Gröller, Hans Hagen, Arie Kaufman
2010
From 06-14-2009 to 06-19-2009, the Dagstuhl Seminar 09251 "Scientific Visualization " was held in Schloss Dagstuhl~--~Leibniz Center for Informatics.  ...  The theoretical basis is given by Robin Forman's work on a combinatorial Morse theory for dynamical systems dened on general simplicial complexes.  ...  The rst method extracts stream surfaces from simulation data modeling a mixing process, based on the nite pointset method (fpm).  ... 
doi:10.4230/dagsemproc.09251.1 fatcat:zhrxuhco2vaufee5pviun7d6zm

The topology of structural brain connectivity in diseases and spatio-temporal connectomics

Alessandra Griffa
2015
In parallel, functional MRI records neural-related signals of brain activity.  ...  Importantly, we have shown that the topological alteration of distinct brain subsystems may be a biomarker for different brain disorders.  ...  I am very grateful to you for giving me the chance to work on such an interesting research topic, within a privileged and lively scientific environment.  ... 
doi:10.5075/epfl-thesis-6586 fatcat:sf3psydfxbasdiqjvj3fpw2xj4

Discourses in Autism Assessment and Diagnosis

Karen Hagan
2018
A critical discursive psychological approach was taken to analyse data.  ...  A team of professionals in an autism assessment centre were recruited along with parents of four families referred to them to receive an autism assessment for their child.  ...  The next chapter outlines the methods used to collect data for the research programme and the steps of CDP analysis applied to the data.  ... 
doi:10.21954/ou.ro.0000d947 fatcat:5urwstakmrfunozdcctv3l62ri