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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>A machine learning method for real estate operation projects forecasting⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Sergey Bushuyev</string-name>
          <email>bushuyevd@gmail.com</email>
          <email>sbushuyev@ukr.net</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Denis Bushuiev</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nikolay Poletaev</string-name>
          <email>poletaev@ukr.net</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mykola Malaksiano</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Dmitriy Kravtsov</string-name>
          <email>dmkravtsov@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Kyiv National University of Construction and Architecture</institution>
          ,
          <addr-line>31, Povitroflotskyi avenue, Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Odessa National Maritime University</institution>
          ,
          <addr-line>34, Mechnikov street, Odessa</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The study examined the impact of heterogeneous urban night lighting on the possibilities of improving the forecast accuracy for real estate operations projects in a large city. By transforming high-resolution night satellite images into light clusters, new dataset features were obtained after calculating the centers of light clusters and the distances between them. The study used a dataset on real estate rentals in Houston, Texas, USA. The light clusters were linked to the terrain based on their geometric coordinates obtained using QGIS. These new features were integrated into a machine learning model based on the LightGBM regressor. Calculations showed that the reduction in forecast error (in the mean squared error metric, MSE) for our dataset was 11.8%, significantly exceeding the influence of other features investigated in the study. The results suggest that the "light" feature can be considered highly promising for real estate operations projects.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;machine learning</kwd>
        <kwd>artificial intelligence</kwd>
        <kwd>computer vision</kwd>
        <kwd>neural networks</kwd>
        <kwd>real estate</kwd>
        <kwd>project forecasting</kwd>
        <kwd>project modeling</kwd>
        <kwd>satellite photos</kwd>
        <kwd>geolocation</kwd>
        <kwd>light clusters 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The real estate market is influenced by a variety of factors, the assessment of which is a
complex task. On one hand, the state of the real estate market reflects the overall condition
of economic, social, demographic, logistical, environmental, and other factors. On the other
hand, effective prediction of real estate market trends enables timely resolution of various
economic and social tasks. Investment companies and individuals, who consider real estate
investment as one of the potential investment options, can significantly influence these
market trends. Therefore, researching real estate market trends is of significant practical
and theoretical interest. Promising research directions in this context include the</p>
      <p>0000-0002-7815-8129 (S. Bushuyev); 0009-0002-6477-0517 (D. Bushuiev); 0000-0002-1340-582X (N.
Poletaev); 0000-0002-4075-5112 (M. Malaksiano); 0009-0005-0305-544X (D. Kravtsov)</p>
      <p>
        © 2024 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
development and use of artificial intelligence methods, big data and geospatial data
analysis, as well as the improvement of project management methods capable of flexibly
and efficiently handling large volumes of data and meeting the challenges and dynamics
characteristic of the modern real estate market. In this regard, the development of modern
project-oriented approaches to company management, as presented in various works, is of
considerable interest [
        <xref ref-type="bibr" rid="ref1 ref2 ref3">1, 2, 3</xref>
        ]. The models for assessing the cognitive readiness of
managerial teams in the implementation of infrastructure programs are studied in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
Entropy paradigm of project-oriented organizations management and portfolio structure
dynamics of the organization development, taking into account information entropy, were
studied in [
        <xref ref-type="bibr" rid="ref2 ref3">2, 3</xref>
        ]. Articles [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ] deal with SMART intelligence models in application to
innovative projects management and natural-scientific methodologies, allowing for the
expansion of the traditional view of the project. The Synergetic Effects and fuzzy method
approach to project Management of Active Systems were discussed in [
        <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
        ]. Papers [
        <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
        ]
propose some mathematical and simulation modeling approaches that can be effectively
adopted to estimate projects which involve manipulations with assets that are prone to
aging and depreciation. Also, in the context of real estate project management, certain
attention should be paid to ecological and logistical aspects. Some promising approaches in
this direction were proposed in [
        <xref ref-type="bibr" rid="ref10 ref11 ref12">10, 11, 12</xref>
        ].
      </p>
      <p>
        Currently, there are many methods and their combinations for assessing real estate
operations projects values. Classic approaches traditionally used for real estate operations
project valuation included comparative assessment methods, income approach, cost
approach, as well as combinations of these methods [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. Machine learning models, such as
decision trees, random forest [
        <xref ref-type="bibr" rid="ref14 ref15">14, 15</xref>
        ], more complex ensemble methods (XGBoost,
LightGBM) [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], as well as neural networks [17, 18], are increasingly being used for
analyzing and forecasting real estate operations project prices. These models, trained on
property sales data, allow for considering a larger number of features and making more
accurate forecasts compared to classic approaches. Textual description of a property can
also contains valuable information for assessing its value [19]. Natural Language Processing
(NLP) methods in combination with neural network models allow for extracting additional
features from textual descriptions, considering factors such as property characteristics, its
surroundings, and other features [20].
      </p>
      <p>Geospatial data also play an important role in property operations projects valuation.
The distance to various objects such as metro stations, schools or shopping centers can
significantly affect the value of a property [21, 22]. Integrating this data into machine
learning models can improve their performance and estimation accuracy [23].</p>
      <p>The use of photographs of building facades and satellite images of urban infrastructure
and the real estate objects themselves can be carried out as part of a modern method of real
estate projects valuation. This approach improves the accuracy of valuations by vectorizing
visual data, allowing for the extraction of features that reflect the visual characteristics of
areas. It can be used as an independent tool or in combination with other analysis methods
[24, 25].</p>
      <p>In this study, the authors hypothesized that the intensity of urban lighting in an area can
indicate the business and other activities of its inhabitants. Indeed, it can be assumed that
the distribution of light flows of urban infrastructure, captured in satellite images of the
area at night, is connected with its vital pulse - the level of foot traffic, visitation, and activity
in these places. Indirectly or directly, such activity is reflected in the level of rental rates for
real estate.</p>
      <p>The goal of this study was to investigate the impact of the "light" feature on the accuracy
of real estate operations projects price forecasting in large cities, where light clusters have
a complex structure and can be highly informative.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Machine Learning Model Considering the Light Feature</title>
      <sec id="sec-2-1">
        <title>2.1. Method for Obtaining the Light Feature from Satellite Photography</title>
        <p>In the context of researching the impact of illumination on rental property prices, data on
housing rentals were enriched with new features based on the degree of area lighting.
During the preliminary processing of images, geographically tagged using QGIS, the places
of greatest illumination were grouped into light clusters. The centers of these clusters were
then identified, and their coordinates were used to create new features in the mathematical
model.</p>
        <p>We used a dataset on real estate rentals in the city of Houston, Texas, USA. The data was
collected from Redfin [26], a real estate website that handles residential real estate
brokerage operations. This dataset consists of 9,260 rental properties and includes 9
features including the target "Price", such as geographic coordinates, year of construction,
number of bedrooms and bathrooms, total area, size of the adjacent plot, and the rental
price of the property in U.S. dollars per month (Table 1). In our calculations, we used the
logarithm of the target variable "Price", which helped to smooth the distribution of the
target variable, making it more normal and reducing the impact of extreme values.</p>
        <p>This also helped to decrease heteroscedasticity (variance inhomogeneity) in the data,
leading to more stable and interpretable model estimates (Figure 1a, 1b). Such an approach
usually leads to improved performance of regression models, especially in the presence of
outliers or a non-normal distribution of the target variable [27].</p>
        <p>Outliers and anomalous values were removed from the dataset to ensure the credibility
of the data and avoid distortions in the model. We also paid attention to the range of values
for each parameter to ensure that the data remained realistic and interpretable.</p>
        <p>A high-resolution satellite image taken at night was obtained from open sources [28]. As
a result of preprocessing, the resulting black and white image was displayed for visual
assessment (Figure 2).</p>
        <p>To determine the centers of light clusters in the image of Houston city, a two-stage
method was used. In the first stage, we optimally adjusted the brightness and contrast of
the image. This step allowed us to highlight the local centers of light areas in the image. For
this purpose, we loaded the image using the tools of the OpenCV library [29]. The image was
then converted to grayscale to simplify the analysis. After that, we conducted brightness
and contrast correction, which helped us to better distinguish the bright areas against the
night cityscape. For further analysis, threshold binarization was applied to highlight the
bright spots in the image. We then found the contours of these bright areas and determined
their centers.</p>
        <p>Visualization allowed us to clearly represent the detected bright spots and their centers
in the image (Figure 3).</p>
        <p>At the same stage, a transformation of the pixel coordinates of the cluster centers,
obtained in the previous step, into geographical coordinates was carried out. For this, we
used information about the geographical coordinates of the corners of the image (top left
and bottom right corners), as well as the size of the image. The latitude and longitude of
each cluster center were calculated based on its pixel coordinates and the proportionally
distributed geographical coordinates of the image corners. The obtained geographical
coordinates of the cluster centers provide additional information about the location of the
highlighted areas in the image and can be used for further analysis of spatial data.</p>
        <p>The second stage involved the use of the DBSCAN (Density-Based Spatial Clustering of
Applications with Noise) clustering algorithm to identify local centers of light spots. With
its help, we combined close centers into clusters and identified the centers of these clusters
as global centers of light areas.</p>
        <p>These cluster centers are displayed on a scatter plot, where each center is marked in red,
and the original points are in blue (Figure 4). This visual representation allows for a better
understanding of the data structure and the identification of spatial patterns or groupings
in geographical data.</p>
        <p>This two-stage approach allowed us to more efficiently and accurately identify the
centres of light spots in the image, ensuring high throughput and accuracy of analysis.</p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Algorithm for predicting real estate prices</title>
        <p>After processing the satellite images, 16 new features based on light centers in the city of
Houston were added to the original dataset (Table 1). For this, we used functions that
determine the number of light centers within a certain radius (0.1, 0.3, 0.5, 1, 2, 4, 6, 8, 10
km) from each real estate object, the distance to the nearest light center, and the average
distance from the real estate object to several (2, 4, 6, 8) nearest centers.</p>
        <p>The resulting dataset was processed using the Recursive Feature Elimination with
CrossValidation (RFECV) algorithm, which automatically selects the most important features for
the model based on their impact on the target variable. This method allows iteratively
removing redundant features with the least impact, assessing the quality of the model at
each iteration using cross-validation.</p>
        <p>Thus, the proposed model for assessing the values of real estate operations projects,
based on light streams from night cities captured in high-resolution satellite photographs,
is depicted in the following scheme (Fig. 5).</p>
        <p>For training the model on each iteration, RFECV uses the DecisionTreeRegressor model.
This decision was made due to its ability to efficiently work with large-scale data and high
dimensionality, which allows for fast and accurate feature selection. As a result of the
selection of optimal features using the RFECV algorithm, we reduced the feature space from
24 to 16 (Table 2).</p>
        <sec id="sec-2-2-1">
          <title>Latitude of the geographical location of the object</title>
        </sec>
        <sec id="sec-2-2-2">
          <title>Longitude of the geographical location of the object</title>
        </sec>
        <sec id="sec-2-2-3">
          <title>Year of construction</title>
        </sec>
        <sec id="sec-2-2-4">
          <title>Number of bedrooms in the property</title>
        </sec>
        <sec id="sec-2-2-5">
          <title>Number of bathrooms in the property</title>
        </sec>
        <sec id="sec-2-2-6">
          <title>Object area</title>
        </sec>
        <sec id="sec-2-2-7">
          <title>Postcode</title>
        </sec>
        <sec id="sec-2-2-8">
          <title>Area of the plot on which the building is located</title>
        </sec>
        <sec id="sec-2-2-9">
          <title>Number of clusters within a 4 km radius from the object</title>
        </sec>
        <sec id="sec-2-2-10">
          <title>Number of clusters within a radius of 8 km from the object clusters_within_10km</title>
        </sec>
        <sec id="sec-2-2-11">
          <title>Number of clusters within a 10 km radius from the object distance_to_nearest_clusters Distance to nearest cluster avg_dist_nearest_clusters_2</title>
        </sec>
        <sec id="sec-2-2-12">
          <title>Average distance to two nearest clusters avg_dist_nearest_clusters_4</title>
        </sec>
        <sec id="sec-2-2-13">
          <title>Average distance to the four closest clusters avg_dist_nearest_clusters_6</title>
        </sec>
        <sec id="sec-2-2-14">
          <title>Average distance to the six closest clusters avg_dist_nearest_clusters_8</title>
        </sec>
        <sec id="sec-2-2-15">
          <title>Average distance to eight nearest clusters</title>
          <p>As the base model for predicting real estate rental prices, we used the LightGBM gradient
boosting algorithm. This choice of algorithm is explained by its high performance, efficiency,
and ability to quickly process large volumes of data [30].</p>
          <p>The optimization of model parameters was conducted using the Optuna library. The
optimized model parameters included tree depth (max_depth), learning rate
(learning_rate), number of tree leaves (num_leaves), maximum number of bins (max_bin),
number of trees (n_estimators), and the fraction of random features for each split
(colsample_bytree).</p>
          <p>Optuna is a library for optimizing model hyperparameters, which automates the process
of their selection. It uses optimization algorithms such as the Tree-structured Parzen
Estimator (TPE) and genetic optimization algorithms for efficient searching of optimal
parameter values. These are based on a Bayesian approach and effectively find optimal
hyperparameters, even in large search spaces. This is a significant advantage over
optimizers like RandomizedSearchCV and GridSearchCV, which explore the
hyperparameter space by enumeration or random selection. In contrast, Optuna aims for a
more intelligent approach, selecting the next points of optimization based on the results of
previous steps. The advantages of Optuna include ease of use, flexibility in configuration,
and the possibility of parallel computation, which speeds up the optimization process. It is
a powerful tool for optimizing model parameters and enhancing their accuracy and
efficiency [31].</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Results and discussion</title>
      <p>For each parameter combination, we used 5-fold cross-validation to evaluate model
performance. We calculated the mean squared error (MSE), root mean squared error
(RMSE), coefficient of determination (R2), and median absolute percentage error (MDAPE)
for each iteration.</p>
      <p>After conducting 200 optimization iterations, we selected the best combination of
parameters for both variations of the datasets, which minimized the MSE. The results of the
optimization allowed us to determine the optimal values of the model parameters for our
data, ensuring the best performance and accuracy of the forecasts.</p>
      <p>After selecting the optimal hyperparameters for the LightGBM model, we obtained the
following results on cross-validation (Table 3).</p>
      <p>From the table, it is evident that the new data enrichment method led to improved model
performance across all evaluation metrics. The differences in model efficiency depending
on the chosen metric are explained by their specific characteristics. MSE penalizes larger
errors more than smaller ones since errors are squared. A significant improvement in MSE
may indicate a reduction in these larger errors.</p>
      <p>RMSE is similar to MSE but is scaled back to the original units of measurement, making
it more interpretable. The smaller improvement compared to MSE might be due to RMSE
being less sensitive to very large errors. R2 measures what proportion of variability in the
dependent variable is explained by the model. An increase in R2 by 2.61% suggests that the
model has become better at explaining the data but not necessarily at reducing every error.</p>
      <p>MDAPE focuses on the median of the errors, making it robust to outliers. A decrease in
MDAPE indicates an overall improvement in the model's accuracy but, again, is less
sensitive to extreme values compared to MSE and RMSE.</p>
      <p>Different metrics assess different aspects of model performance, so improvements may
vary depending on how exactly the new data enrichment method impacts these aspects.</p>
      <sec id="sec-3-1">
        <title>Improvement</title>
        <p>percentage</p>
        <p>Thus, the method we proposed for incorporating the light feature significantly improved
the accuracy of the real estate project price prediction model, confirming its effectiveness
and practical applicability.</p>
        <p>The technique for assessing the level of urban lighting is a complement to existing
approaches in real estate operations project value analysis described in the literature.
Differing from methods focusing on the physical characteristics of properties or urban
infrastructure, our approach adds an analysis of area lighting. This allows for a deeper
understanding of the factors influencing the attractiveness of areas and, consequently, real
estate operations project value, enriching traditional valuation with new dimensions.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusion</title>
      <p>This study presents an innovative approach to assessing the real estate operations project
value in large cities. The essence of the approach lies in integrating new features into the
regression model for forecasting, obtained from high-resolution satellite photographs by
analyzing light streams from night cities.</p>
      <p>The study demonstrates that applying this approach to a dataset consisting of 9260
rental real estate objects in Houston (Texas, USA) has reduced the mean squared error
(MSE) of the baseline regression model by 11.8%. This gives the authors reason to believe
that the proposed approach can become an effective tool for analyzing and assessing the
real estate market.</p>
      <p>The comparative simplicity and accessibility of using satellite images suggest that their
analysis can be adapted to assess other environmental factors, such as proximity to water
resources, greenery, parks and forests, as well as industrial zones, to obtain effective
features for regression models. It should be noted that one of the limitations of using
satellite images to create new features for regression models is the limited availability of
quality satellite night images for all cities. For the successful implementation of the method,
high-resolution images and their linkage to geographical coordinates are necessary.
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