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Reviews: Topological Distances and Losses for Brain Networks
[article]
2021
arXiv
pre-print
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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]
2016
arXiv
pre-print
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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]
2019
arXiv
pre-print
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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
2017
BMC Neuroscience
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, 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
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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
2010
Behavioral and Brain Sciences
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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
2010
Behavioral and Brain Sciences
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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
2010
Behavioral and Brain Sciences
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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
1983
Physician and sportsmedicine
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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]
2018
biorxiv/medrxiv
pre-print
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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
2010
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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
2015
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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
2018
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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