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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Classification of Human Actions Using Task fMRI Images</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Dmitrii Sergeev</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Moscow State University</institution>
          ,
          <addr-line>Moscow</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>395</fpage>
      <lpage>403</lpage>
      <abstract>
        <p>In the past few years, the topic of brain signal analysis has become very popular in neuroscience. There are several approaches to imaging the brain. Classification of human activities with task fMRI is an important part of finding effective connectivity in human brain. This article is devoted to developing of an approach to constructing a classifier for human actions. Detailed definition of the basic notions used in analyzing fMRI images is provided. A review of datasets and methods for classifying fMRI images is presented with recommendations. Also, brief description of major international projects involved in brain analysis is provided. In conclusion, workflow and way forward to implementations is examined with description of proposed libraries to use for analysis, filtering, preprocessing, reading and writing fMRI and fitting classification models with it.</p>
      </abstract>
      <kwd-group>
        <kwd>task fMRI analysis</kwd>
        <kwd>data intensive analysis</kwd>
        <kwd>human action classification</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Neuroimaging is the common name for several methods that allow visualization of the
structure, functions, and biochemical characteristics of the brain [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. At the same time,
neuroimaging techniques do not require surgical intervention and direct contact with
the internal organs, since these technologies made it possible to non-invasive
visualization of the structure and functionality of the brain, becoming a powerful tool for
research and for medical diagnostics with the development of technology and
computational methods.
      </p>
      <p>Functional neuroimaging is used to measure aspects of the brain to understand the
relationship between the activity of certain areas of the brain with specific mental
functions.</p>
      <p>There are several approaches to collect data about human brain for latter analysis:
• Computed tomography (uses a series of x-rays aimed at the head from a large
number of different directions);
• Diffuse optical tomography (uses infrared radiation, measures the optical absorption
of hemoglobin);
• Optical Signal modified by an event (using infrared radiation);
• Electroencephalography (EEG);
• magnetic resonance imaging (MRI) (uses magnetic fields and radio waves without
using ionizing radiation);
• functional magnetic resonance imaging (fMRI).</p>
      <p>
        Most brain analysis nowadays is implemented on the basis of fMRI images. Functional
magnetic resonance imaging is based on the paramagnetic properties of hemoglobin
and makes it possible to see changes in the blood circulation of the brain depending on
its activity [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. The essence of the method is that when certain parts of the brain work,
the blood flow in them increases. Changes in blood flow are recorded, and images can
tell which parts of the brain are activated when performing certain actions. fMRI image
is a 4-dimensional array of voxels (spatial and time). This type of images allows to
analyze the activity of various parts of the brain at some time point.
      </p>
      <p>Over the past decades, researchers have managed to accumulate a large amount of
fMRI data. fMRI images have a complex descriptive structure and require large
resources for their storage, such as high-performance computing systems. Besides that,
the amount of data surpasses tens of terabytes of data, requiring special
compute-intensive platforms to deal with these datasets. These facts underline the multidisciplinary
nature of neuroscience and the need to develop IT methods for it.</p>
      <p>
        There are several types of relationships in the brain – structural, functional and
effective connectivity [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Effective connectivity, which describes the amount of
information transmitted by information flows in the presence of any stimulus or the absence
of incentives per unit of time, is among the most interest in analyzing brain images [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        Classification of human actions using task fMRI images is an important part of
analyzing effective connectivity. As an example, in Human Connectome Project
participants were asked to perform seven tasks related to the following categories: Emotion,
Gambling, Language, Motor, Relational, Social and Working Memory. Based on the
task fMRI data obtained [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], a mathematical model is built relating images to a specific
task. However, the model lacks accuracy and does not deal with data-intensive
platforms.
      </p>
      <p>This work is aimed at development of methods and tools to process large datasets in
neurophysiology domain, build classification model to analyze effective connectivity
of the brain using task fMRI images. The research is carried out as thesis for Masters
Program “Big data: infrastructures and problem-solving techniques” under the
department of Computational Mathematics and Cybernetics of Moscow State University.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Problem Statement and Formalization of Application Domain</title>
      <p>Specification of the application domain is depicted on Fig. 1. Effective connectivity
describes the causal interaction between units of connectivity (usually brain regions).
It is described by the amount of information transmitted over information flows in the
presence of any stimulus or absence of incentives per unit of time. The connected unit
(region of interest) transmits information signal to another connected unit by
information flow, receives information from another unit by information flow.</p>
      <p>A problem statement is formulated as follows: present an approach for dealing with
large incoming datasets of fMRI, preprocess them, build classification model for
preprocessed dataset and validate it on some data. Classification task formulates as
follows: using task fMRI images relate them into seven groups of task, which a person
was doing during that session.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Related Works</title>
      <sec id="sec-3-1">
        <title>Classification Methods</title>
        <p>
          One of the pioneering works on the classification of signals of the human brain is based
on testing statistical hypotheses [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]. Using the t-test, the signal is classified into two
classes. There are actual problems of binary classification, for example, to distinguish
Alzheimer's patients from healthy people, solved with the help of t-test [
          <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
          ]. The
tcriterion has a number of advantages and disadvantages. The advantages include: ease
of calculation; ease of interpretation; resistant to emissions; works with even a small
amount of data. The disadvantages of this method include: assumptions that the data
have a normal distribution; residues are independent and have a normal distribution.
        </p>
        <p>
          Later works are based on linear classification methods such as: support vector
machine (SVM [
          <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
          ]), general linear models (GLM), etc. Such classifiers are suitable for
solving problem of binary classification. However, the use of linear classification
methods imposes significant restrictions on the dataset: it must be linearly separable. In [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ],
researchers analyze the brain signal using the support vector machine (SVM [
          <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
          ]).
The advantage of this approach is that linear models are easily interpreted, are trained
with small samples, and are not prone to overfitting. Linear models have several
disadvantages: they do not approximate complex surfaces; dataset must be independent.
        </p>
        <p>
          Works on analyzing MRI images based on using neural networks [
          <xref ref-type="bibr" rid="ref10 ref11 ref12">10–12</xref>
          ] began to
appear relatively recently. The main advantages are that neural networks allow to build
complex separating surfaces, significantly increasing the quality of the model. The
second essential advantage of neural networks is that it allows to implement multi-class
classification without significantly complicating the model. Disadvantages are that
models are prone to overfitting and require vast computational resources. Also,
sometimes the dimension of the learning model is too large.
        </p>
        <p>
          In [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ] researchers analyze the signal from the brain using deep neural networks.
Multiple architectures are built with two and more hidden layers and the quality of work of
different architectures is compared. Experiments are performed on a dataset from the
Human Connectome project. In [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ], the authors take ready-made convolutional neural
net (CNN (LeNet-5)) and successfully classify functional MRI data of Alzheimer’s
subjects. Accuracy on test dataset reached 96.85%. Usage of CNN allows to extract
useful tags from images and approximate complex structures. Recent studies show that
modern architects of convolutional neural networks classify the image more
qualitatively than humans.
        </p>
        <p>Based on the result of the study, it is recommended to use CNN.</p>
      </sec>
      <sec id="sec-3-2">
        <title>Related Neurophysiology Projects and Dataset Description</title>
        <p>
          Human Connectome Project. The main goal of the Human Connectome Project
(HCP) [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ] is to describe the structural and functional connection in the brain of a
healthy young adult. Based on the data collected by HCP, a large number of studies are
annually conducted to extract functional and structural dependencies between different
parts of the brain. The database contains information about more than 1200 participants.
The Human Connectome Project brings together a large group of researchers all around
working in the field of neuroscience. All data can be downloaded from the project
website for free after registration.
        </p>
        <p>Human Connectome Project has a separate task fMRI dataset published. Each
participant during the fMRI session was asked to perform some tasks from the following
groups:
• Emotion processing: participants were asked to map several images to each other.
• Gambling: participants were asked to play a simple card game.
• Language processing: after listening to a short audio file, participants were asked to
answer simple questions.
• Motor: participants were asked to move the divided body part.
• Social cognition: short video was presented to the participants and asked to answer
the question whether the movements of objects in the clips are related to each other
in some way.</p>
        <p>Each subject has corresponding behavioral data, including age, weight, etc. Also,
each task fMRI has a corresponding design file, which stores meta information about
the experiment, the number and name of the experimental conditions recorded, and an
indication of the path to the timing files. Timing files contain the time of the stimulus
(onset) and its duration (duration). In addition, functional data, masks, files with the
time of appearance of stimuli and their duration, files with data about experiments
(design files) are stored. The dimension of one image is (91, 109, 91, 274), i.e. total 902629
voxels with 274 values.</p>
        <p>Other Projects. The Human Brain Project (HBP) is a large research project to study
the structure and analyze the functional connectivity between different parts of the
brain. The project involves hundreds of scientists from 26 countries and 135 partner
institutions. The goal of this project is to create a joint research infrastructure to enable
researchers around the world to develop knowledge in the field of neurobiology,
computer technology, and medicine related to the brain.</p>
        <p>The BRAIN Initiative project was created at the initiative of the White House in
2013. This project was created as a private-public research initiative. A large number
of neuroscientists from 30 different countries are involved in this project. At the first
stages of the project, researchers will analyze the activity of neurons in mice and other
animals, and at later stages of the project a functional map of dependencies of various
parts human brain will be built. It is assumed that these studies will help researchers
discover the secrets of brain disorders such as Alzheimer's and Parkinson's, depression.</p>
        <p>1000 Functional Connectomes Project is a database of functional MRI images taken
at rest. The purpose of this project is to collect fMRI images during rest. When
visualizing the brain during rest, random low-frequency oscillations of large amplitude occur,
which correlate in different functionally related areas. Based on the data obtained,
researchers build maps of interaction between different areas of the brain. The database
contains data from more than 1,400 participants collected independently in 35
international centers
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Proposed Approach</title>
      <sec id="sec-4-1">
        <title>Workflow</title>
        <p>
          Workflow for proposed approach is depicted on Fig. 2. First, input data is preprocessed
using NIPY [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] library. Next, regressors and contrasts (artifacts for handling task
fMRI) are constructed. Next, using these artifacts and preprocessed data, the
classification model is built. There are several libraries to work with CNN. Later, model is
validation against testing dataset.
        </p>
        <p>
          It is assumed that preprocessing step and construction of contrasts and regressors are
built with PySpark [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ] library in distributed manner.
        </p>
      </sec>
      <sec id="sec-4-2">
        <title>Causality Model as Input for Classification</title>
        <p>
          One of the main ideas of the approach, which differs it from other, is to use output of
Dynamic Causal Modeling (DCM) [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ] as the input to classification model. Dynamic
causal modeling (DCM) is a general Bayesian structure for drawing conclusions about
hidden neural states based on measurements of brain activity. DCM provides a
posteriori estimates of neurobiological interpreted values, such as the effective strength of
synaptic connections between neuronal populations and their context-dependent
modulation (i.e., how experiment factors influence these values). In other words, with the
help of DCM, it can be understood how a specific change in conditions during an
experiment affects the activation of brain area.
        </p>
        <p>DCM is stated as (linear or non-linear) differential equations. They describe hidden
dynamics of neural populations. DCM models seek to ensure being neurophysiological
interpreted.</p>
        <p>The idea of using DCM as input for further classification is following. DCM is not
a theoretical simulation of neuronal processes in its pure form, but a method that
includes both a theoretical calculation (model prediction) and a validation on real data
(implemented using Bayesian inversion). The key feature of the DCM method is its
dependence on experimental data. Its equations take into account the influence of
experimental manipulations on the dynamics of the system: the experimental conditions
are included in the model as input data that either controls the local responses of the
system or changes the connections. So, e.g., if a person was watching a video during
fMRI, DCM will tend to seek the activation of the brain area responsible for visual
cognition. This knowledge cam vastly increase classification accuracy.</p>
      </sec>
      <sec id="sec-4-3">
        <title>Data Neuroimaging Format</title>
        <p>Task fMRI neuroimage is a four-dimensional array of voxels, three dimensions
describe the position of voxels in space, the fourth – in time. A voxel has an index in the
three-dimensional spatial array of the fMRI neuro-image and has n values for each t
(t=1...m) of the fourth dimension of the fMRI neuro-image (i.e., is a time series).</p>
        <p>
          NIFTI [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ] allows to store data in several ways: (1) as in ANALYZE in 2 files (1
file is a header file with the extension. hdr; 2 file – the data itself in .img format); (2)
or all in one file with the extension. nii. NIFTI also supports working with compressed
data (.gz). The first 4 measurements out of 7 are predefined to represent spatial and
temporal coordinates (1–3 spatial, 4 temporal, 5–7 adjustable).
        </p>
        <p>
          Header structure has size of 348 bytes. Some header fields are:
─ Information about data collection (Dim info): char dim_info – stores the directions
of frequency, phase coding, the direction in which the volume increased when
receiving data;
─ Image dimensions: short dim [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] contains information about image dimensions. dim
[i] represents the length of the i-th dimension;
─ Intent-fields: short intent_code is a code showing the statistical nature of the data,
some codes require additional parameters, which are either indicated in the float
intent_p * fields (if applicable to the picture as a whole), or form the 5th dimension (if
these parameters are different for each voxel). The readable intent name can be
stored in the char intent_name [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ] field;
─ Data type: int datatype shows the type of stored data; short bitpix contains
information on the number of bits per voxel;
─ Slice acquisition: char slice_code, short slice_start, short slice_end and float
slice_duration store information about the fmri time distribution, and should be used
together with char dim_info containing fieldslice_dim. The short slice_start and
short slice_end fields indicate which layer is the first and last for a particular mri.
Layers out of range are considered added to the file (and not received with mri,
usually contain 0). The float slice_duration field indicates the amount of time needed to
produce a single layer;
─ Voxel dimensions: The float pixdim [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] contains the dimension of each voxel, by
analogy with short dim [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. But the values in float pixdim [0] must be equal to –1 or
1;
─ Voxel Offset (Voxel o set): The int vox_o ff set field indicates the beginning of the
data itself from the beginning of the file (for data contained in .nii file), for a pair of
files (.hdr / .img), the field must contain 0 if there is no additional data other than the
picture in .img not contained;
─ Data scaling: The values stored in each pixel can be linearly scaled in different units.
        </p>
        <p>(fields float scl_slope and float scl_inter);
─ Display range (Data display): For files that store scalar data, the cal_min and
cal_max fields define the intended display range when the image is opened;
─ Measurement units: Both temporal and spatial units used in dim [i] (i=1..4) (and for
pixdim) are stored in the char xyzt_units field. Bits 1-3 are used for spatial
measurements, 4–6 – for temporary, 7–8 – are not used;
─ Image orientation information (Orientation information): In NIFTI, it is possible to
uniquely store orientation information. The file standard assumes that the voxel
coordinates correspond to the center of this voxel. It is assumed that the system of
world coordinates is "RAS +". The format represents 3 different methods of mapping
voxel coordinates (i, j, k) to world (x, y, z). The main one is that the world
coordinates are determined by scaling the voxel size.</p>
      </sec>
      <sec id="sec-4-4">
        <title>Image Analysis and Processing Tools</title>
        <p>The NIPY library consists of several parts that enable the user to perform not only
simple operations with fMRI images such as reads and writes, but also analysis
algorithms. This library includes the following projects:
─ Nipype provides a unified interface for working with fMRI images;
─ NiBabel is module that allows you to work with a large number of medical and
neurovizualizable file formats such as GIFTI, NIfTI1, NIfTI2, CIFTI-2, MINC1,
MINC2, AFNI BRIK/HEAD, MGH and ECAT as well as Philips PAR/REC. This
library allows you to both read and write the listed file formats. This library has a
Python interface that makes it quite simple and easy to use. The library’s website
provides detailed installation information and examples with explanations on the use
of the library
─ PyMVPA is a set of algorithms that are intended for statistical image analysis. In
this package, implemented algorithms for classification, clustering and regression,
created unified interfaces for interacting with standard data analysis libraries such as
scikit-learn, shogun, MDP, etc</p>
        <p>
          OpenCV [
          <xref ref-type="bibr" rid="ref19 ref20 ref21">19–21</xref>
          ] is first of all this computer vision library, there are several
thousand high-performance image processing algorithms implemented in this library. This
library is distributed under the BSD license, therefore the code of this library can be
modified and used in commercial projects. The OpenCV library has a modular
structure. Researchers use this library to pre-process MRI images and extract functions from
MRI images.
        </p>
        <p>
          Recently, a lot of articles appeared trying to classify fMRI images using
convolutional neural networks. There are many different libraries and software products that
implement neural network architectures. The Keras library is one of the most popular.
This library is written in the Python programming language, with operations performed
on TensorFlow. For a training of a convolutional neural network, a huge number of
trained images are required. Keras contains within itself the architecture of popular
convolutional neural networks, which were trained in ImageNet [
          <xref ref-type="bibr" rid="ref22 ref23 ref24">22–24</xref>
          ].
5
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusion</title>
      <p>Classification problem is stated for task fMRI. Specification of application domain is
provided. A review of datasets and methods for classifying fMRI images is presented
with recommendations. Also, brief description of major international projects involved
in brain analysis is provided. In conclusion, workflow and wayforward to
implementations is examined with description of proposed libraries to use for analysis, filtering,
preprocessing, reading and writing fMRI and fitting classification models with it.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgements</title>
      <p>This work is supervised by Dmitry Kovalev, Federal Research Center “Informatics and
Control” of Russian Academy of Sciences.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          1.
          <string-name>
            <surname>Duncan</surname>
          </string-name>
          , J.:
          <article-title>Neuroimaging methods to evaluate the etiology and consequences of epilepsy</article-title>
          .
          <source>Epilepsy Research</source>
          ,
          <fpage>131</fpage>
          -
          <lpage>140</lpage>
          (
          <year>2002</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          2.
          <string-name>
            <surname>Shulman</surname>
            ,
            <given-names>R.G.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Rothman</surname>
            ,
            <given-names>D.L.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Behar</surname>
            ,
            <given-names>K.L.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Hyder</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          :
          <article-title>Energetic basis of brain activity implications for neuroimaging</article-title>
          .
          <source>Trends Neurosci</source>
          ,
          <fpage>489</fpage>
          -
          <lpage>495</lpage>
          (
          <year>2004</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          3.
          <string-name>
            <surname>Schlösser</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Gesierich</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Kaufmann</surname>
            <given-names>B.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Vucurevic</surname>
            <given-names>G.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Hunsche</surname>
            <given-names>S.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Gawehn</surname>
          </string-name>
          , J.:
          <article-title>Altered effective connectivity during working memory performance in schizophrenia: a study with fMRI and structural equation modeling</article-title>
          .
          <source>NeuroImage</source>
          ,
          <fpage>751</fpage>
          -
          <lpage>763</lpage>
          (
          <year>2003</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          4.
          <string-name>
            <surname>Koyamada</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Shikauchia</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Nakaea</surname>
            ,
            <given-names>K.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Koyamaa</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Ishiia</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          :
          <article-title>Deep learning of fMRI big data: a novel approach to subject-transfer decoding</article-title>
          .
          <source>Stat.ML, arXiv:1502.00093v1</source>
          (
          <year>2015</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          5.
          <string-name>
            <surname>Mahmoudi</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Takerkart</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Regragui</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Boussaoud</surname>
            ,
            <given-names>D.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Brovelli</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          :
          <article-title>Multivoxel Pattern Analysis for fMRI Data: A Review. Computational and Mathematical Methods in Medicine (</article-title>
          <year>2012</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          6.
          <string-name>
            <surname>Friston</surname>
            ,
            <given-names>K.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Frith</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Liddle</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          :
          <article-title>Comparing functional (PET) images: the assessment of significant change</article-title>
          .
          <source>Journal of Cerebral Blood Flow and Metabolism</source>
          ,
          <volume>690</volume>
          -
          <fpage>699</fpage>
          (
          <year>1991</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          7.
          <string-name>
            <surname>Hall</surname>
            ,
            <given-names>D.</given-names>
          </string-name>
          and
          <string-name>
            <surname>Miller</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          :
          <source>The Theory of Stochastic Processes. 1nd Edition</source>
          . Routledge (
          <year>1977</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          8.
          <string-name>
            <surname>Cortes</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          and
          <string-name>
            <surname>Vapni</surname>
          </string-name>
          , V.:
          <article-title>Support-vector networks</article-title>
          .
          <source>Machine Learning</source>
          ,
          <fpage>273</fpage>
          -
          <lpage>297</lpage>
          (
          <year>1995</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          9.
          <string-name>
            <surname>Vapnik</surname>
            ,
            <given-names>V.</given-names>
          </string-name>
          :
          <article-title>The Nature of Statistical Learning</article-title>
          .
          <source>2nd Edition</source>
          . Springer (
          <year>1995</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          10.
          <string-name>
            <surname>Karnowski</surname>
            ,
            <given-names>T.:</given-names>
          </string-name>
          <article-title>Deep machine learning a new frontier in artificial intelligence research</article-title>
          .
          <source>Computational Intelligence Magazine</source>
          ,
          <fpage>13</fpage>
          -
          <lpage>18</lpage>
          (
          <year>2010</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          11.
          <string-name>
            <surname>Grady</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Sarraf</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Saverino</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          :
          <article-title>Age differences in the functional interactions among the default, frontoparietal control and dorsal attention networks</article-title>
          .
          <source>Neurobiology of Aging</source>
          (
          <year>2016</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          12.
          <string-name>
            <surname>Shelhamer</surname>
            ,
            <given-names>E.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Donahue</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Karayev</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Long</surname>
            <given-names>J.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Girshick</surname>
          </string-name>
          , R.:
          <article-title>Convolutional architecture for fast feature embedding</article-title>
          .
          <source>Proceedings of the ACM International Conference on Multimedia</source>
          ,
          <volume>675</volume>
          -
          <fpage>678</fpage>
          (
          <year>2014</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          13.
          <string-name>
            <surname>Sarraf</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          and
          <string-name>
            <surname>Tofighi</surname>
          </string-name>
          , G.:
          <article-title>Classification of Alzheimer's disease using fMRI data and deep learning convolutional neural networks</article-title>
          .
          <source>cs.CV, arXiv:1603.08631v1</source>
          (
          <year>2016</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          14.
          <string-name>
            <surname>Barch</surname>
            ,
            <given-names>D.M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Burgess</surname>
            ,
            <given-names>G.C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Harms</surname>
            ,
            <given-names>M.P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Petersen</surname>
            ,
            <given-names>S.E.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Schlaggar</surname>
            ,
            <given-names>B.L.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Corbetta</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          :
          <article-title>Function in the human connectome: task-fMRI and individual differences in behavior</article-title>
          .
          <source>Neuroimage</source>
          ,
          <volume>169</volume>
          -
          <fpage>189</fpage>
          (
          <year>2013</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>15. NIPY - neuroimaging software. https://nipy.org/</mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation>
          16.
          <string-name>
            <surname>Drabas</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          and
          <string-name>
            <surname>Lee</surname>
            ,
            <given-names>D.</given-names>
          </string-name>
          :
          <article-title>Learning PySpark</article-title>
          .
          <source>1nd Edition</source>
          . Packt
          <string-name>
            <surname>Publishing</surname>
          </string-name>
          (
          <year>2017</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation>
          17.
          <string-name>
            <surname>Friston</surname>
            ,
            <given-names>K.</given-names>
          </string-name>
          :
          <article-title>Dynamic causal modeling and Granger causality comments on: The identification of interacting networks in the brain using fMRI: Model selection, causality and deconvolution</article-title>
          .
          <source>Neuroimage</source>
          <volume>58</volume>
          ,
          <fpage>303</fpage>
          -
          <lpage>305</lpage>
          . (
          <year>2011</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref18">
        <mixed-citation>
          18.
          <string-name>
            <surname>Gorgolewski</surname>
            ,
            <given-names>K.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Auer</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Calhoun</surname>
            ,
            <given-names>V.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Craddock</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Das</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Duff</surname>
          </string-name>
          , E.:
          <article-title>The brain imaging data structure, a format for organizing and describing outputs of neuroimaging experiments</article-title>
          .
          <source>Scientific Data</source>
          (
          <year>2016</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref19">
        <mixed-citation>19. OpenCv - Open Source Computer Vision Library. https://opencv.org/</mixed-citation>
      </ref>
      <ref id="ref20">
        <mixed-citation>
          20.
          <string-name>
            <surname>Bradski</surname>
            ,
            <given-names>G.</given-names>
          </string-name>
          and
          <string-name>
            <surname>Kaehler</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          :
          <article-title>Learning OpenCV: Computer Vision with the OpenCV Library</article-title>
          . 1nd
          <string-name>
            <surname>Edition. O'Reilly Media</surname>
          </string-name>
          (
          <year>2008</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref21">
        <mixed-citation>
          21.
          <string-name>
            <surname>Garrido</surname>
            ,
            <given-names>G.</given-names>
          </string-name>
          and
          <string-name>
            <surname>Joshi</surname>
          </string-name>
          , P.:
          <article-title>OpenCV 3.x with Python by example: make the most of OpenCV and Python to build applications for object recognition and augmented reality</article-title>
          .
          <source>2nd Edition</source>
          . Packt
          <string-name>
            <surname>Publishing</surname>
          </string-name>
          (
          <year>2018</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref22">
        <mixed-citation>
          22.
          <string-name>
            <surname>Keras</surname>
          </string-name>
          <article-title>- open-source neural-network library</article-title>
          . https://keras.io/
        </mixed-citation>
      </ref>
      <ref id="ref23">
        <mixed-citation>
          23.
          <string-name>
            <surname>Gulli</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          and
          <string-name>
            <surname>Pal</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          :
          <article-title>Deep Learning with Keras: Implementing deep learning models and neural networks with the power of Python. 1nd Edition</article-title>
          . Packt
          <string-name>
            <surname>Publishing</surname>
          </string-name>
          (
          <year>2017</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref24">
        <mixed-citation>
          24.
          <string-name>
            <surname>Williams</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          :
          <article-title>Deep Learning with Keras: Introduction to Deep Learning with Keras</article-title>
          . 2nd
          <string-name>
            <surname>Edition. CreateSpace Independent Publishing Platform</surname>
          </string-name>
          (
          <year>2017</year>
          ).
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>