<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Comparing Deep Learning Approaches for Weather Forecasting: Insights from the PRECEDE Project</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Maira Aracne</string-name>
          <email>m.aracne@unidav.it</email>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tommaso Ruga</string-name>
          <email>tommaso.ruga@dimes.unical.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Camilla Lops</string-name>
          <email>camilla.lops@unich.it</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Deborah Federico</string-name>
          <email>dfederico@eway-solutions.it</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Luciano Caroprese</string-name>
          <email>luciano.caroprese@unich.it</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ester Zumpano</string-name>
          <email>e.zumpano@dimes.unical.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sergio Montelpare</string-name>
          <email>sergio.montelpare@unich.it</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mariano Pierantozzi</string-name>
          <email>mariano.pierantozzi@unich.it</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Francesco Dattola</string-name>
          <email>fdattola@eway-solutions.it</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Pasquale Iaquinta</string-name>
          <email>piaquinta@eway-solutions.it</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Miriam Iusi</string-name>
          <email>miusi@eway-solutions.it</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Rafaele Greco</string-name>
          <email>rgreco@eway-solutions.it</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Marco Talerico</string-name>
          <email>mtalerico@eway-solutions.it</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Valentina Coscarella</string-name>
          <email>vcoscarella@eway-solutions.it</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Luca Legato</string-name>
          <email>llegato@eway-solutions.it</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ivana Pellegrino</string-name>
          <email>ipellegrino@eway-solutions.it</email>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sonia Bergamaschi</string-name>
          <email>sonia.bergamaschi@unimore.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mirko Orsini</string-name>
          <email>mirko.orsini@datariver.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Riccardo Martoglia</string-name>
          <email>riccardo.martoglia@datariver.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrea Livaldi</string-name>
          <email>andrea.livaldi@datariver.it</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Abeer Jelali</string-name>
          <email>abeer.jelali@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Simone Sbreglia</string-name>
          <email>simo.sbreglia@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>DIMES Department, University of Calabria</institution>
          ,
          <addr-line>Via Ponte Pietro Bucci, Rende (CS)</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>DataRiver Srl</institution>
          ,
          <addr-line>Via Emilia Est, 985, Modena</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Engineering and Geology Department, University G. d'Annunzio of Chieti-Pescara</institution>
          ,
          <addr-line>Viale Pindaro 42, Pescara</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>University Leonardo da Vinci</institution>
          ,
          <addr-line>Piazza San Rocco, 2, Torrevecchia Teatina</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>e way Enterprise Business Solutions</institution>
          ,
          <addr-line>Via Francesco de Francesco 19, Cosenza</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Accurately predicting weather conditions in advance is crucial across various sectors. It informs decision-making in agriculture, enables preparation for potential natural disasters, optimizes renewable energy management, and helps reduce energy waste and ineficiencies. In the current historical context, achieving maximum forecast precision has become more critical than ever. Artificial intelligence is transforming the methods and tools we use to reach this goal, paving the way for unprecedented advancements. Its main advantage lies in the ability to manage and evaluate huge amounts of data identifying complex patterns and correlations that could escape from human analysis. The system's fast processing capabilities constitute another fundamental aspect, producing territory-specific forecasts that consider both local micro-climates and distinctive geographical features. The present work aims to compare diferent deep learning approaches applied to weather forecasting, conducted as part of the PRECEDE Project. Recurrent neural networks are analyzed, in particular Gated Recurrent Units, and Temporal Convolutional Networks, known to be two architectures specialized in modelling data sequences over time horizons. The study highlights the performance of neural networks in enhancing the outputs of the MM5 weather model, a regional mesoscale model, over one-, two-, and three-day time horizons. Furthermore, the work explores the strengths and limitations of each approach, providing insights into their efectiveness, which serve as a foundation for guiding future research and practical applications of deep learning in weather forecasting.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Weather forecasting</kwd>
        <kwd>Deep Learning</kwd>
        <kwd>Machine Learning</kwd>
        <kwd>Mesoscale Model 5</kwd>
        <kwd>Renewable energy prediction</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Weather forecasting plays a crucial role in decision-making
across various sectors, including agriculture, disaster
management, energy optimization and urban planning. Reliable
predictions reduce risks, enhance eficiency and support
the transition to sustainable energy systems through
better management of renewable sources. As global energy
demand rises, advanced forecasting methods help optimize
wind and solar energy usage within decentralized models
like energy communities - local networks where individuals
both produce and consume energy, essential for reducing
fossil fuel dependency.</p>
      <p>Weather forecasting is challenging due to dynamic
patterns. Deep Learning has improved accuracy by analyzing
large datasets and identifying complex temporal patterns.
These advances help optimize energy systems while
maintaining grid stability and meeting prosumer needs.</p>
      <p>DL methods, including Recurrent Neural Networks
(RNNs), Gated Recurrent Units (GRUs), and Temporal
Convolutional Networks (TCNs), excel at modeling temporal
data sequences and capturing climate data trends.
Additionally, traditional models like the Fifth-Generation
NCAR/Penn State Mesoscale Model (MM5) maintain their
importance due to operational dependability, ofering
solutions across multiple sectors. Despite these advancements,
two significant challenges persist in the pursuit of precise
weather forecasting and its integration with energy systems.
The first challenge lies in developing a robust platform
capable of eficiently managing, integrating, and analysing
vast amounts of heterogeneous data from diverse sources.
This is essential given the intricate relationship between
climatic variables and renewable energy production. The
second challenge focuses on leveraging this integrated data
to design advanced models and services that can accurately
predict energy production and meet evolving management
requirements, ensuring both reliability and sustainability.</p>
      <p>
        In this context, the present work aims to address the
limitations of current Regional Climate Models (RCMs),
including MM5’s occasional inaccuracies, through a comparative
analysis of deep learning methodologies applied to weather
forecasting. Insights are drawn from the PRECEDE project,
which explores innovative approaches to enhance
prediction accuracy and optimize energy-related applications by
integrating the strengths of DL models with traditional
forecasting frameworks. Additional details about the project
can be found in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
      </p>
      <p>In detail, machine and deep learning models are
implemented to combine real-time measurements with RCM
outputs. The models analyze climate data streams to
identify seasonal patterns and short-term trends, improving the
prediction of key weather parameters - including solar
radiation, temperature, relative humidity, and atmospheric
pressure - which in turn leads to more accurate forecasts
of renewable energy generation. This comprehensive
approach optimizes energy storage and distribution for energy
communities, while improving the eficiency and
sustainability of renewable energy systems at both individual and
community scales.</p>
      <p>The paper is structured as follows: after this brief
introduction, Section 2 reviews the state-of-the-art artificial
intelligence techniques currently used for predicting
climatic parameters. Section 3 provides an overview of the
MM5 model, the weather datasets and the chosen artificial
neural networks utilized in this study. Finally, the results
are presented in Section 4, followed by a discussion of the
main findings in Section 5.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Works</title>
      <p>
        Predicting climate variables is notoriously dificult due to
their dynamic nature, thus considerable efort has been
made to apply Artificial Intelligence (AI) to this challenge.
Consequently, a new field, Deep Learning for Weather
Prediction (DLWP), has born and it has demonstrated
impressive results, as shown in [
        <xref ref-type="bibr" rid="ref2 ref3">2, 3</xref>
        ]. The ability of Neural
Networks to learn complex nonlinear relationships and to
process vast amounts of data simultaneously enables their
application in diferent fields, such as in solar radiation prediction
(at both daily and hourly scales), short-term and long-term
wind resource estimation, and in the forecasting of various
meteorological parameters such as temperature,
precipitation, cyclones, and humidity [
        <xref ref-type="bibr" rid="ref2 ref4 ref5 ref6 ref7">2, 4, 5, 6, 7</xref>
        ]
      </p>
      <p>Among the available architectures, we chose the GRUs
and the TCNs due to their specialization in modeling data
sequences. LSTM and GRU are the two main RNN variants
that handle long sequences better than vanilla RNNs. After
conducting a comparative evaluation between GRU and
LSTM on a sample dataset, our analysis revealed comparable
performance between the two models. GRU has been chosen
for its simpler design, faster training, and more eficient
memory use.</p>
      <p>
        The TCNs are well known to outperform RNNs across a
broad range of sequence modeling tasks [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. However, in
[
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] , the GRUs show better prediction capability than TCNs,
but the problem of the correct tuning hyperparameters is
opened. Also, the study raises the possibility that results
may difer if the lengths of the input or output changes.
The full potential of GRUs and TCNs in climate variable
prediction remains to be explored, as their application in
this domain is still an emerging area of research.
      </p>
      <p>
        Diferent solutions exist in the field of energy, or power,
forecasting. Shaikh et al. [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] demonstrated that TCNs
typically outperform LSTM models. On the other hand,
the review conducted in [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] studies the possible
advantages and disadvantages of diferent neural networks for
Photovoltaic (PV) power prediction and it finds that the
Multilayer Perceptron, RNNs, Convolutional Neural Network,
and Graph Neural Network architectures have diferent
forecasting advantages that depend on its specific application
scenario.
      </p>
      <p>
        For weather forecasting applications, studies in [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] and
[
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] demonstrated TCN models’ efectiveness in predicting
Global Horizontal Irradiation (GHI) and ten weather
parameters, respectively. However, while these works addressed
forecasting horizons ranging from minutes (5, 10, 15, and
20) to several hours (up to 9), they operate on diferent time
scales than the here presented research.
      </p>
      <p>
        Despite notable advances in energy management and
forecasting research, most approaches remain fragmented
rather than converging into comprehensive solutions. While
machine learning has shown promising results in weather
prediction [
        <xref ref-type="bibr" rid="ref2 ref3 ref4 ref5">2, 3, 4, 5</xref>
        ], solar radiation estimation [
        <xref ref-type="bibr" rid="ref14 ref15 ref16 ref6">6, 14, 15, 16</xref>
        ]
and temperature forecasting [
        <xref ref-type="bibr" rid="ref17 ref18 ref7">7, 17, 18</xref>
        ], these advances have
not been fully integrated into comprehensive energy
management systems. Furthermore, existing energy
optimization strategies [
        <xref ref-type="bibr" rid="ref19 ref20 ref21 ref22">19, 20, 21, 22</xref>
        ] tend to focus on specific
components, such as battery management or demand response,
without addressing the complex, interconnected nature of
energy communities. To overcome these limitations, the
PRECEDE project introduces an integrated framework that
leverages multiple AI techniques through a modular
architecture, comprehensively addressing the energy
management pipeline from data integration to community-scale
optimization. Unlike previous approaches limited to
specific community data, PRECEDE’s architecture transcends
these limitations ofering a generalizable framework that
adapts to diverse settings and environmental conditions
while bridging the gap between climate forecasting and
energy optimization.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Background</title>
      <p>This section explores both the meteorological and AI aspects
of our datasets and proposed models.</p>
      <sec id="sec-3-1">
        <title>3.1. The Fifth Mesoscale Model (MM5)</title>
        <p>The Fifth-Generation Penn State/NCAR Mesoscale Model
(MM5) is a widely used numerical weather prediction
system, developed collaboratively by the Penn State
University and the National Center for Atmospheric Research
(NCAR). It is designed to simulate mesoscale and regional
atmospheric phenomena for both research and operational
forecasting.</p>
        <p>MM5 is highly adaptable, ofering configurable grid
resolutions, physical parameterizations, and boundary
conditions to suit various meteorological applications. It
employs a  -coordinate system based on hydrostatic pressure
and finite-diference numerical schemes, specifically the
Arakawa-Lamb B-staggering technique, enabling detailed
simulations of convection, radiation, cloud microphysics,
and surface-atmosphere interactions.</p>
        <p>The non-hydrostatic model relies on conservation
equations for momentum and energy, incorporating a tendency
equation for perturbation pressure. MM5 predicts
meteorological variables like temperature, pressure, wind, solar
radiation, and cloud cover, making it suitable for diverse
applications, including short-term weather forecasting,
climate studies, air quality management, water resource
planning, and severe weather analysis.</p>
        <p>
          With portability across computational platforms and
extensive documentation, MM5 is accessible to users of
varying expertise. Additional details about the MM5 system and
its key features are available in Grell et al. [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] and Dudhia
et al. [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ].
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Datasets</title>
        <p>Both case studies, Casaccia and Ottana, utilize datasets with
measurements collected at 10-minute intervals. The
Casaccia database spans three years, beginning January 1, 2018
at 1:10 am, and includes four physical quantities: GHI,
temperature, atmospheric pressure, and relative humidity. The
Ottana dataset covers one year, starting from May 31, 2021
at 17:10, and comprises three physical quantities: GHI,
atmospheric pressure, and relative humidity. The diference in
dataset duration arises from their availability and reliability
from weather stations in each location. Acquiring
continuous and high-quality meteorological records remains a
challenge, and the selected databases represent the most
comprehensive and accurate data accessible for each site.
Additionally, the study’s methodological approach accounts
for these variations by focusing on relative trends and
patterns rather than absolute comparisons, thus maintaining
the validity of the performance evaluation across locations.
For both locations, each measured quantity is paired with its
corresponding MM5 system prediction, and all values have
been normalized. Distinct datasets were created for each
combination of prediction horizon  (144 for 1 day, 288 for
2 days, and 432 for 3 days) and target variable i (0 for GHI, 1
for temperature, only for Casaccia, 2 for atmospheric
pressure and 3 for relative humidity). Each of these datasets has
been divided into three subsets training set (60%), validation
set (20%) and test set (20%).</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Artificial Intelligence Techniques</title>
        <sec id="sec-3-3-1">
          <title>3.3.1. Gated Recurrent Unit</title>
          <p>The GRU is a specialized recurrent neural network
architecture that excels in modeling sequential data and temporal
dependencies. At its core, the GRU cell processes sequential
information through a sophisticated gating mechanism that
selectively retains or discards information at each time step.
This mechanism consists of two primary components: the
update gate and the reset gate. The update gate balances
the integration of new information with historical context,
determining how much of the previous hidden state should
persist. Meanwhile, the reset gate controls the forgetting
mechanism, allowing the model to discard irrelevant past
information. This dual-gate architecture allows GRUs to
efectively model long-term dependencies while
addressing the vanishing gradient problem inherent in traditional
RNNs, as both gates work together to precisely control the
temporal evolution of the hidden state. By dynamically
managing information flow, GRUs maintain an adaptive
memory that evolves with the input sequence, making them
particularly efective for tasks like time series forecasting
and natural language processing.</p>
        </sec>
        <sec id="sec-3-3-2">
          <title>3.3.2. Temporal Convolutional Networks</title>
          <p>The TCN is a neural network specialized in modeling data
sequences, drawing inspiration from the operational
mechanism of Convolutional Neural Network, which uses filters to
recognize patterns in data. However, instead of performing
two-dimensional convolution (as with images), it operates
in a single dimension (time series). In this case, the
convolution is made causal, meaning the network learns to
predict the output at time  by only considering data up to
time , avoiding the use of future information to predict the
present. A key requirement for a forecasting model is that
each output element should depend on all historically
preceding input elements: the TCN adopts dilated convolutions
to expand its receptive field without dramatically increasing
the number of parameters. This technique ensures coverage
of extensive sequence portions without losing resolution
or computational eficiency, even with a small convolution
kernel. Importantly, expanding the receptive field enhances
the network’s ability to capture long-term dependencies.
To address the vanishing gradient problem, particularly in
deep networks, residual connections are employed,
creating a direct path between the network’s input and output.
Currently, TCNs are considered an alternative to RNNs,
including their more sophisticated versions, LSTM and GRU.
Some advantages of TCNs are their ability to parallelize
work, which streamlines the training process, and the
absence of a recursive structure, which leads to more stable
gradient propagation.</p>
        </sec>
        <sec id="sec-3-3-3">
          <title>3.3.3. Deep Reinforcement Learning</title>
          <p>To manage energy communities, the global PRECEDE
framework has adopted a DRL approach, widely considered one
of the most efective methodologies in this field. This
advanced computational paradigm combines DL architectures
with the Reinforcement Learning (RL) framework, enabling
robust solutions for complex decision-making processes.
However, it is important to note that the DRL approach was
not utilized in the analyses conducted here.</p>
          <p>
            RL operates on the principle of sequential
decisionmaking, where an agent interacts with an environment
through an iterative process of observation, action, and
reward. The environment is typically modeled as a Markov
Decision Process (MDP), characterized by a state space , an
action space , and a reward function . At each time step
, the agent observes the current state  ∈  and selects an
action  ∈  based on its policy  (|), which maps states
to action probabilities. Following the action, the
environment transitions to a new state +1 and provides a reward
signal . The agent’s objective is to learn an optimal
policy  * that maximizes the expected cumulative discounted
reward, expressed as [∑︀  ], where  ∈ [
            <xref ref-type="bibr" rid="ref1">0, 1</xref>
            ] is the
discount factor balancing immediate and future rewards.
          </p>
          <p>DRL represents a sophisticated integration of deep
learning architectures with Reinforcement Learning principles,
designed to handle complex decision-making tasks in
highdimensional spaces. The integration of deep learning
enhances the agent’s capability to identify complex patterns
and hierarchical representations, leading to more
sophisticated decision-making strategies.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Discussion</title>
      <p>To fully understand the PRECEDE project, a brief
introduction strictly connected to the layers which compose the
proposed system is resumed in Fig. 3.</p>
      <p>The PRECEDE architecture is composed of four diferent
layers, which belong to two diferent processing steps: the data
integration and processing step and the energy production
forecasting and managing step. The Data Flow layers,
comprising the Data Integration Layer and Climate Variables
Broadcasting Layer, handle the acquisition, integration, and
processing of heterogeneous data sources, providing reliable
climate forecasts through advanced DL models. The Energy
Management layers, consisting of the Energy Production
Forecasting Layer and Energy Flow Optimization Layer,
leverage these forecasts to optimize energy production and
distribution within the community through physical models
and multi-agent reinforcement learning techniques.</p>
      <p>The first step includes the Data Integration and Climate
Variables Broadcasting layers, which are involved in the
acquisition, integration, and processing of heterogeneous
data sources to produce forecasts of climatic variables. The
data used in this step come from two diferent sources, as
previously introduced: real data, which belongs to physical
weather stations, and MM5 model predictions. To assess
this stage, the advanced deep learning models introduced
in Fig. 3 are adopted.</p>
      <p>These weather forecasts are then integrated into an
eficient prediction system for prosumers, using physical
models and multi-agent RL to optimize energy production and
distribution. Our analysis compares two models for climate
variable prediction: GRUs and TCNs. We evaluate their
similarities, diferences, and relative performance. These
architectures were selected for their ability to track temporal
data evolution while identifying relevant patterns.</p>
      <p>
        These supervised learning models enhance the prediction
of key climatic variables - including GHI, temperature,
pressure, and relative humidity. By combining RCMs forecasts
with actual observations as inputs, the models produce more
accurate predictions and reduce the RCMs’ tendency to
overor underestimate values during certain periods [
        <xref ref-type="bibr" rid="ref23 ref24">23, 24</xref>
        ].
      </p>
      <p>First Layer:
Data Integration Layer</p>
      <p>(MOMIS Platform)
Integration of heterogeneous data sources</p>
      <p>Second Layer:
Climate Variables Broadcasting</p>
      <p>(Deep Learning: GRU, TCN)
Accurate climate variable forecasting</p>
      <p>Third Layer:
Energy Production Forecasting</p>
      <p>(Physical Models)
PV energy production estimation</p>
      <p>Integrated data</p>
      <p>Climate forecasts</p>
      <p>Fourth Layer:
Energy Flow Optimization
(Deep Reinforcement Learning)
Multi-agent optimization system</p>
      <p>
        Production Estimation
As presented in [
        <xref ref-type="bibr" rid="ref23 ref24">23, 24</xref>
        ], the AI model manages to improve
the forecasts returned by the MM5 RCM, which exhibits
both positive and negative deviations from the real data. In
this experiment, good performances are achieved for both
the GRUs and the TCNs, as shown in Tables 1 and 2 .
      </p>
      <p>Considering the Casaccia study (see Table 1), it is readibly
observable that the GRU and TCN models applied to the
MM5 model outperform it. The most impressive results
(1)
(2)
Variable</p>
      <p>System
GHI
Temperature
Pressure
Humidity
can be seen in atmospheric pressure forecasting, where the
TCN reduce the error of over the 54.97%, 50.86% and 52.46%
with 1-day, 2-day and 3-day forecast horizon. At the same
time, the CoD is raised by the 11.94%, 11.55% and 10.84%,
respectively. Similarly, for the GHI parameter the TCNs
exhibit superior performance, although often comparable
to that of GRUs. The best results are achieved in the 1-day
forecast with a MAE decrease of 18.90% associated to the
TCN, and in the 3-day forecast with an R² increase of 8.9% for
the GRU. Regarding temperature and relative humidity, the
GRU shows slightly better results than the TCN, although
their results remain very similar.</p>
      <p>Concerning Ottana’s analysis reported in Table 2, the
MM5 model achieves better results than the ANNs
regarding pressure forecasting; nevertheless, they still maintain
remarkable efectiveness. In summary, a high degree of
correspondence is observed between the neural networks’
forecasts and the experimental data, validating their
predictive capabilities. The best MAE and R² performance can be
read in the humidity 1-day GRU prediction, with a
reduction of 24.73% and an increase of 21% compared to the MM5
forecast.</p>
      <p>After having discussed the comparison between the
neural networks and the MM5 model, the following section
presents a comparative assessment of GRUs and TCNs only.</p>
      <p>It is important to emphasize that the two datasets include
diferent time intervals: the Casaccia database covers three
years, while the Ottana dataset only one. In both cases, the
TCN model outperforms the GRU in pressure forecast and
it shows significant performance gains. In detail, for the
Casaccia study, GRU and TCN models show comparable
performance across all parameters except atmospheric
pressure. However, in the Ottana analysis, TCN consistently
outperforms GRU, though both models maintain high
accuracy. The performance diference between the two locations
may stem from their diferent training data durations (three
years for Casaccia versus one year for Ottana). Similarly,
both the superior performance of MM5 and TCN’s enhanced
learning capabilities in the Ottana dataset likely reflect the
limited one-year training period. Future studies should
investigate this relationship by testing model performance
across diferent time spans.</p>
      <p>Beyond standard R2 and MAE statistical measures, the
study incorporates Taylor diagrams as visual analytical tools
to evaluate how well the method performs in handling
multiple variables simultaneously. These diagrams integrate
three key statistical measures into a single polar plot: the
Standard Deviation ( ), Correlation Coeficient (R), and
Centered Root Mean Square Diference (RMSD). The reference
observations are positioned at the plot’s origin, while
predicted values appear as points distributed across the diagram
based on their statistical properties.</p>
      <p>
        The standard deviation functions as a measure of the
variability of the data, calculating how the values deviate from
the mean. The correlation coeficient indicates the strength
of the relationship between variables on a scale of − 1 to
+1, where zero shows no relationship, positive values
indicate parallel movement and negative values suggest inverse
relationships. The root mean square deviation evaluates
prediction accuracy by measuring the typical distance
between corresponding points in two datasets, with smaller
values indicating better alignment. For any comparison
between simulated values ( ) and reference measurements
(), these metrics are calculated using established statistical
formulations as detailed in [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ].
      </p>
      <p>Figures 4 through 6 present the Taylor diagrams for
Casac(a)
(b)
cia and Ottana, corresponding to 1-day, 2-day, and 3-day
predictions, respectively. It is important to note that
temperature analysis is limited to the Casaccia database, while
the remaining climatic parameters are analyzed for both
locations.</p>
      <p>For Casaccia, the Taylor diagram for 1-day predictions
(see Fig. 4a) illustrates that GRU and TCN outperform MM5
across all weather variables. Specifically, both GRU and
TCN achieve high correlation coeficients (above 0.9) for
global solar radiation and temperature, positioning them
close to the reference point and indicating strong predictive
accuracy. In the case of atmospheric pressure, GRU and TCN
also perform well, with GRU slightly closer to the reference
point. For relative humidity, TCN emerges as the most
accurate model, exhibiting the highest correlation and the
closest match to observed data, while MM5 demonstrates
the lowest correlation and the largest deviations across all
variables. Overall, TCN and GRU are identified as the most
reliable models for weather prediction in Casaccia.</p>
      <p>In Ottana (see Fig. 4b), the Taylor diagram highlights
the capabilities of GRU and TCN in predicting global solar
radiation. For relative humidity, the models show mixed
results: one side achieves higher correlation coeficients and
lower RMSD, while the other side exhibits poorer standard
deviation. In this case, MM5 performs better in terms of
standard deviation. Finally, the RCM model surpasses the
AI models in estimating atmospheric pressure values.</p>
      <p>The observed trends for each locality are consistently
replicated in the 2-day (Fig. 5) and 3-day (Fig. 6)
predictions, underscoring the ability of both TCN and GRU to
outperform traditional regional climate models in weather
forecasting.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions and Future</title>
    </sec>
    <sec id="sec-6">
      <title>Perspectives</title>
      <p>Conducted within the framework of the PRECEDE project,
this study demonstrated the efectiveness of deep learning
approaches in enhancing weather forecasting accuracy,
particularly through applying GRU and TCN architectures to
improve MM5 model predictions. The comparative analysis
reveals several key findings that advance the field of weather
prediction and its applications in energy management. The
results show that both GRU and TCN models generally
outperform the traditional MM5 model across multiple weather
parameters and time horizons. Notably, TCN demonstrated
superior performance in atmospheric pressure forecasting,
achieving error reductions of up to 54.97% in one-day
forecasts for the Casaccia dataset. While both neural network
architectures showed comparable efectiveness in predicting
most parameters, TCN exhibited slightly stronger learning
capabilities in scenarios with limited training data.</p>
      <p>An important finding emerged regarding the impact of
training data duration on model performance. The
contrasting results between Casaccia and Ottana suggest that the
length of the training period significantly influences
prediction accuracy. This was particularly evident in the Ottana
dataset, where MM5 maintained superior performance in
pressure forecasting, highlighting the importance of
comprehensive training data for neural network models. The
Taylor diagram analysis further validated these findings,
demonstrating high correlation coeficients for both GRU
and TCN in predicting global solar radiation and
temperature. This superior performance was maintained across
diferent prediction horizons (1-, 2-, and 3-day forecasts),
confirming the models’ reliability and stability.</p>
      <p>These analyses serve as the foundation for the PRECEDE
project’s next phase, which aims to extend these forecasting
methodologies to cities in Emilia Romagna. The insights
gained from the Casaccia and Ottana studies will inform
the implementation of these models across the region,
supporting the project’s goal of enhancing renewable energy
management and community-based energy systems.
Moreover, expanding the analysis to diverse climatic conditions
and extended temporal scales will provide deeper insights
into the robustness and adaptability of the proposed models.
We would also like to test the Transformer model.</p>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgments</title>
      <p>This work was supported by the PRECEDE project (CUP:
E93C22001100001), from the resources of the National
Recovery and Resilience Plan (NRRP), funded by the European
Union - NextGenerationEU.</p>
    </sec>
    <sec id="sec-8">
      <title>Declaration on Generative AI</title>
      <p>tax.html):
During the preparation of this work, the author(s) used
X-GPT-4 and Gramby in order to: Grammar and spelling
check. Further, the author(s) used X-AI-IMG for figures
3 and 4 in order to: Generate images. After using these
tool(s)/service(s), the author(s) reviewed and edited the
content as needed and take(s) full responsibility for the
publication’s content.</p>
      <p>Either:
The author(s) have not employed any Generative AI tools.
Or (by using the activity taxonomy in
ceur-ws.org/genai</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>F.</given-names>
            <surname>Dattola</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P.</given-names>
            <surname>Iaquinta</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Iusi</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            <surname>Federico</surname>
          </string-name>
          ,
          <string-name>
            <given-names>R.</given-names>
            <surname>Greco</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Talerico</surname>
          </string-name>
          ,
          <string-name>
            <given-names>V.</given-names>
            <surname>Coscarella</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Legato</surname>
          </string-name>
          , I. Pellegrino,
          <string-name>
            <given-names>S.</given-names>
            <surname>Bergamaschi</surname>
          </string-name>
          , et al.,
          <article-title>Precede: Climate and energy forecasts to support energy communities with deep learning models</article-title>
          ,
          <source>in: 2024 IEEE International Conference on Big Data (BigData)</source>
          , IEEE,
          <year>2024</year>
          , pp.
          <fpage>4650</fpage>
          -
          <lpage>4658</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>N.</given-names>
            <surname>Benti</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Chaka</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Semie</surname>
          </string-name>
          ,
          <article-title>Forecasting renewable energy generation with machine learning and deep learning: Current advances and future prospects</article-title>
          ,
          <source>Sustainability</source>
          <volume>15</volume>
          (
          <year>2023</year>
          ). URL: https://www.mdpi.com/ 2071-1050/15/9/7087.
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>X.</given-names>
            <surname>Ren</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Li</surname>
          </string-name>
          ,
          <string-name>
            <given-names>K.</given-names>
            <surname>Ren</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J.</given-names>
            <surname>Song</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Z.</given-names>
            <surname>Xu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>K.</given-names>
            <surname>Deng</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <article-title>Deep learning-based weather prediction: A survey</article-title>
          ,
          <source>Big Data Research</source>
          <volume>23</volume>
          (
          <year>2021</year>
          ). URL: https://www.sciencedirect.com/science/article/ pii/S2214579620300460.
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <given-names>J.</given-names>
            <surname>Fan</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Wu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>F.</given-names>
            <surname>Zhang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Cai</surname>
          </string-name>
          ,
          <string-name>
            <given-names>W.</given-names>
            <surname>Zeng</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Zou</surname>
          </string-name>
          ,
          <article-title>Empirical and machine learning models for predicting daily global solar radiation from sunshine duration: A review and case study in china</article-title>
          ,
          <source>Renewable And Sustainable Energy Reviews</source>
          <volume>100</volume>
          (
          <year>2019</year>
          )
          <fpage>186</fpage>
          -
          <lpage>212</lpage>
          . URL: https://www.sciencedirect.com/science/article/ pii/S1364032118307226.
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <given-names>Q.</given-names>
            <surname>Yang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>C.</given-names>
            <surname>Lee</surname>
          </string-name>
          ,
          <string-name>
            <surname>M.</surname>
          </string-name>
          <article-title>Tippett, A long short-term memory model for global rapid intensification prediction</article-title>
          ,
          <source>Weather And Forecasting</source>
          <volume>35</volume>
          (
          <year>2020</year>
          )
          <fpage>1203</fpage>
          -
          <lpage>1220</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <given-names>M.</given-names>
            <surname>Mohandes</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Rehman</surname>
          </string-name>
          , T. Halawani,
          <article-title>Estimation of global solar radiation using artificial neural networks</article-title>
          ,
          <source>Renewable Energy</source>
          <volume>14</volume>
          (
          <year>1998</year>
          )
          <fpage>179</fpage>
          -
          <lpage>184</lpage>
          . URL: https://www.sciencedirect.com/science/article/ pii/S0960148198000652.
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [7]
          <string-name>
            <given-names>M.</given-names>
            <surname>Ghadiri</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Marjani</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Mohammadinia</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Shirazian</surname>
          </string-name>
          ,
          <article-title>An insight into the estimation of relative humidity of air using artificial intelligence schemes</article-title>
          ,
          <source>Environment, Development And Sustainability</source>
          <volume>23</volume>
          (
          <year>2021</year>
          )
          <fpage>10194</fpage>
          -
          <lpage>10222</lpage>
          . URL: https://doi.org/10. 1007/s10668-020-01053-w.
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [8]
          <string-name>
            <given-names>S.</given-names>
            <surname>Bai</surname>
          </string-name>
          ,
          <string-name>
            <given-names>J. Z.</given-names>
            <surname>Kolter</surname>
          </string-name>
          ,
          <string-name>
            <given-names>V.</given-names>
            <surname>Koltun</surname>
          </string-name>
          ,
          <article-title>An empirical evaluation of generic convolutional and recurrent networks for sequence modeling</article-title>
          , arXiv preprint arXiv:
          <year>1803</year>
          .
          <volume>01271</volume>
          (
          <year>2018</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          [9]
          <string-name>
            <given-names>H.</given-names>
            <surname>Qin</surname>
          </string-name>
          ,
          <article-title>Comparison of deep learning models on time series forecasting: a case study of dissolved oxygen prediction</article-title>
          , arXiv preprint arXiv:
          <year>1911</year>
          .
          <volume>08414</volume>
          (
          <year>2019</year>
          ). doi:
          <volume>10</volume>
          .48550/arXiv.
          <year>1911</year>
          .
          <volume>08414</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          [10]
          <string-name>
            <surname>A. K. Shaikh</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          <string-name>
            <surname>Nazir</surname>
            ,
            <given-names>N.</given-names>
          </string-name>
          <string-name>
            <surname>Khalique</surname>
            ,
            <given-names>A. S.</given-names>
          </string-name>
          <string-name>
            <surname>Shah</surname>
            ,
            <given-names>N.</given-names>
          </string-name>
          <string-name>
            <surname>Adhikari</surname>
          </string-name>
          ,
          <article-title>A new approach to seasonal energy consumption forecasting using temporal convolutional networks</article-title>
          ,
          <source>Results in Engineering</source>
          <volume>19</volume>
          (
          <year>2023</year>
          )
          <article-title>101296</article-title>
          . URL: https://www.sciencedirect.com/science/article/ pii/S2590123023004231. doi:https://doi.org/10. 1016/j.rineng.
          <year>2023</year>
          .
          <volume>101296</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          [11]
          <string-name>
            <given-names>J.</given-names>
            <surname>Yu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Li</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Yang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Li</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Z.</given-names>
            <surname>Huang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>K.</given-names>
            <surname>Shen</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.</given-names>
            <surname>Yang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Z.</given-names>
            <surname>Xu</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            <surname>Zhang</surname>
          </string-name>
          , S. Du,
          <article-title>Deep learning models for pv power forecasting:</article-title>
          <source>Review, Energies</source>
          <volume>17</volume>
          (
          <year>2024</year>
          )
          <article-title>3973</article-title>
          . doi:
          <volume>10</volume>
          .3390/en17163973.
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          [12]
          <string-name>
            <given-names>R.</given-names>
            <surname>Elmousaid</surname>
          </string-name>
          ,
          <string-name>
            <given-names>N.</given-names>
            <surname>Drioui</surname>
          </string-name>
          ,
          <string-name>
            <given-names>R.</given-names>
            <surname>Elgouri</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Agueny</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Adnani</surname>
          </string-name>
          ,
          <article-title>Accurate short-term ghi forecasting using a novel temporal convolutional network model, e-Prime - Advances in Electrical Engineering</article-title>
          ,
          <source>Electronics and Energy</source>
          <volume>9</volume>
          (
          <year>2024</year>
          )
          <article-title>100667</article-title>
          . URL: https://www.sciencedirect.com/science/article/ pii/S277267112400247X. doi:https://doi.org/10. 1016/j.prime.
          <year>2024</year>
          .
          <volume>100667</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          [13]
          <string-name>
            <given-names>P.</given-names>
            <surname>Hewage</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Behera</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Trovati</surname>
          </string-name>
          , E. Pereira,
          <string-name>
            <given-names>M.</given-names>
            <surname>Ghahremani</surname>
          </string-name>
          ,
          <string-name>
            <given-names>F.</given-names>
            <surname>Palmieri</surname>
          </string-name>
          , Y. Liu,
          <article-title>Temporal convolutional neural (tcn) network for an efective weather forecasting using timeseries data from the local weather station</article-title>
          ,
          <source>Soft Computing</source>
          <volume>24</volume>
          (
          <year>2020</year>
          )
          <fpage>16453</fpage>
          -
          <lpage>16482</lpage>
          . URL: https://doi.org/10.1007/s00500-020-04954-0. doi:
          <volume>10</volume>
          .1007/s00500-020-04954-0.
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          [14]
          <string-name>
            <given-names>M.</given-names>
            <surname>Alam</surname>
          </string-name>
          ,
          <string-name>
            <given-names>F.</given-names>
            <surname>Al-Ismail</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Hossain</surname>
          </string-name>
          ,
          <string-name>
            <surname>S. Rahman,</surname>
          </string-name>
          <article-title>Ensemble machine-learning models for accurate prediction of solar irradiation in bangladesh</article-title>
          ,
          <source>Processes</source>
          <volume>11</volume>
          (
          <year>2023</year>
          ). URL: https://www.mdpi.com/2227-9717/11/3/908.
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>
          [15]
          <string-name>
            <given-names>A.</given-names>
            <surname>Mellit</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Kalogirou</surname>
          </string-name>
          ,
          <article-title>Artificial intelligence techniques for photovoltaic applications: A review</article-title>
          ,
          <source>Progress In Energy And Combustion Science</source>
          <volume>34</volume>
          (
          <year>2008</year>
          )
          <fpage>574</fpage>
          -
          <lpage>632</lpage>
          . URL: https://www.sciencedirect.com/ science/article/pii/S0360128508000026.
        </mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation>
          [16]
          <string-name>
            <given-names>A.</given-names>
            <surname>Yadav</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Chandel</surname>
          </string-name>
          ,
          <article-title>Solar radiation prediction using artificial neural network techniques: A review</article-title>
          ,
          <source>Renewable And Sustainable Energy Reviews</source>
          <volume>33</volume>
          (
          <year>2014</year>
          )
          <fpage>772</fpage>
          -
          <lpage>781</lpage>
          . URL: https://www.sciencedirect. com/science/article/pii/S1364032113005959.
        </mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation>
          [17]
          <string-name>
            <given-names>A.</given-names>
            <surname>Paniagua-Tineo</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Salcedo-Sanz</surname>
          </string-name>
          ,
          <string-name>
            <given-names>C.</given-names>
            <surname>CasanovaMateo</surname>
          </string-name>
          , E. Ortiz-García,
          <string-name>
            <given-names>M.</given-names>
            <surname>Cony</surname>
          </string-name>
          ,
          <string-name>
            <given-names>E.</given-names>
            <surname>Hernández-Martín</surname>
          </string-name>
          ,
          <article-title>Prediction of daily maximum temperature using a support vector regression algorithm</article-title>
          ,
          <source>Renewable Energy</source>
          <volume>36</volume>
          (
          <year>2011</year>
          )
          <fpage>3054</fpage>
          -
          <lpage>3060</lpage>
          . URL: https://www.sciencedirect. com/science/article/pii/S0960148111001443.
        </mixed-citation>
      </ref>
      <ref id="ref18">
        <mixed-citation>
          [18]
          <string-name>
            <given-names>D.</given-names>
            <surname>Kreuzer</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Munz</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Schlüter</surname>
          </string-name>
          ,
          <article-title>Short-term temperature forecasts using a convolutional neural network - an application to diferent weather stations in germany</article-title>
          ,
          <source>Machine Learning With Applications</source>
          <volume>2</volume>
          (
          <year>2020</year>
          )
          <article-title>100007</article-title>
          . URL: https://www.sciencedirect.com/science/ article/pii/S2666827020300074.
        </mixed-citation>
      </ref>
      <ref id="ref19">
        <mixed-citation>
          [19]
          <string-name>
            <given-names>G.</given-names>
            <surname>Palma</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Guiducci</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Stentati</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Rizzo</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Paoletti</surname>
          </string-name>
          ,
          <article-title>Reinforcement learning for energy community management: A european-scale study</article-title>
          ,
          <source>Energies</source>
          <volume>17</volume>
          (
          <year>2024</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref20">
        <mixed-citation>
          [20]
          <string-name>
            <given-names>K. X.</given-names>
            <surname>Perez</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Baldea</surname>
          </string-name>
          ,
          <string-name>
            <given-names>T. F.</given-names>
            <surname>Edgar</surname>
          </string-name>
          ,
          <article-title>Integrated hvac management and optimal scheduling of smart appliances for community peak load reduction</article-title>
          ,
          <source>Energy and Buildings</source>
          <volume>123</volume>
          (
          <year>2016</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref21">
        <mixed-citation>
          [21]
          <string-name>
            <given-names>W.</given-names>
            <surname>Jiatong</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Li</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Z.</given-names>
            <surname>Jiangfeng</surname>
          </string-name>
          ,
          <article-title>Deep reinforcement learning for energy trading and load scheduling in residential peer-to-peer energy trading market</article-title>
          ,
          <source>International Journal of Electrical Power &amp; Energy Systems</source>
          <volume>147</volume>
          (
          <year>2023</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref22">
        <mixed-citation>
          [22]
          <string-name>
            <given-names>Y.</given-names>
            <surname>Ye</surname>
          </string-name>
          ,
          <string-name>
            <given-names>Y.</given-names>
            <surname>Tang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>H.</given-names>
            <surname>Wang</surname>
          </string-name>
          ,
          <string-name>
            <given-names>X.-P.</given-names>
            <surname>Zhang</surname>
          </string-name>
          , G. Strbac,
          <article-title>A scalable privacy-preserving multi-agent deep reinforcement learning approach for large-scale peer-to-peer transactive energy trading</article-title>
          ,
          <source>IEEE Transactions on Smart Grid</source>
          <volume>12</volume>
          (
          <year>2021</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref23">
        <mixed-citation>
          [23]
          <string-name>
            <given-names>L.</given-names>
            <surname>Caroprese</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Pierantozzi</surname>
          </string-name>
          ,
          <string-name>
            <given-names>C.</given-names>
            <surname>Lops</surname>
          </string-name>
          , S. Montelpare,
          <article-title>Dl2f: A deep learning model for the local forecasting of renewable sources</article-title>
          ,
          <source>Computers &amp; Industrial Engineering</source>
          <volume>187</volume>
          (
          <year>2024</year>
          ). URL: https://www.sciencedirect. com/science/article/pii/S0360835223008094.
        </mixed-citation>
      </ref>
      <ref id="ref24">
        <mixed-citation>
          [24]
          <string-name>
            <given-names>C.</given-names>
            <surname>Lops</surname>
          </string-name>
          ,
          <string-name>
            <given-names>M.</given-names>
            <surname>Pierantozzi</surname>
          </string-name>
          ,
          <string-name>
            <given-names>L.</given-names>
            <surname>Caroprese</surname>
          </string-name>
          ,
          <string-name>
            <given-names>S.</given-names>
            <surname>Montelpare</surname>
          </string-name>
          ,
          <article-title>A deep learning approach for climate parameter estimations and renewable energy sources</article-title>
          ,
          <source>in: 2023 IEEE International Conference on Big Data (BigData)</source>
          ,
          <year>2023</year>
          , pp.
          <fpage>3942</fpage>
          -
          <lpage>3951</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref25">
        <mixed-citation>
          [25]
          <string-name>
            <given-names>K. E.</given-names>
            <surname>Taylor</surname>
          </string-name>
          , Taylor diagram primer, Work Paper (
          <year>2005</year>
          )
          <fpage>1</fpage>
          -
          <lpage>4</lpage>
          . doi:doi:10.1029/2000JD900719.
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>