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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Free Energy Principle and Active Inference in Language Models Neural</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Maria Raffa</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alessandro Acciai</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>IULM University</institution>
          ,
          <addr-line>via Carlo Bo 1, Milan</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>University of Messina</institution>
          ,
          <addr-line>Via Concezione 6, Messina</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The aim of this paper is twofold: first, to explore the relationship between Neural Language Models (NLMs) and the Free Energy Principle (FEP), and second, to suggest that NLMs, as undesigned cognitive architectures seen through the lens of FEP and Active Inference (AIF), can be considered potential candidates for the development of AI architectures that promote long-term sustainability. We argue that NLMs can be viewed as “undesigned cognitive architectures”, that reflect principles of cognitive efficiency and resource optimisation. While NLMs were not intentionally designed to model cognition, they share significant features with cognitive architectures rooted in the FEP and AIF. These AI systems use generative models that optimise tasks such as language understanding and generation by minimising prediction errors. By aligning NLMs with the FEP and AIF, we show how these models contribute to sustainable AI by balancing performance, transparency and resource use. We also highlight how, despite their passive nature, NLMs share core goals with AIF systems, in particular the minimisation of uncertainty. Specifically, the structure of the paper is as follows: Section 1 introduces the concept of undesigned cognitive architectures, Section 2 explores the relationship between FEP, AIF and NLMs. Following, Section 3 focuses on sustainability considerations, and lastly, Section 4 draws conclusions.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Neural Language Models</kwd>
        <kwd>Free Energy Principle</kwd>
        <kwd>Active Inference</kwd>
        <kwd>Sustainability</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        and be able to infer the correct patterns between agent and object and appropriately categorize
situations and events, has been tested in various studies [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ][
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. For example, Jin Han and
colleagues [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] showed how models from the OpenAI family demonstrate property induction,
extending the properties of some categories to others in particular situations when certain elements
allow for sharing the same properties and the context is appropriate. Regarding DM ability, that is,
making appropriate choices and selecting what is considered the best alternative among those
offered in the environment in which one operates, Thilo Hagendorff and colleagues [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] highlight
the adoption of “machine intuition,” or the emergence of intuitive responses even in hostile
contexts, by GPT-3.5 in a battery of tests designed to investigate intuitive DM in humans. The two
aspects just mentioned, while important, are not sufficient on their own to achieve a status of ability
to satisfy a CA: a broader range of criteria needs to be fulfilled. Two other aspects involve
perception and situation assessment, abilities largely observed in the new Multimodal NLMs [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ],
where even the purely linguistic ones demonstrate a considerable ability to reason and navigate in
the surrounding environment [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ][
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], even based on purely linguistic descriptions. Being able to
interact in the environment is not enough. Several studies show that NLMs can also solve complex
problems requiring analogical reasoning [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]; tackle tasks that require problem-solving ability
using resources external to the system [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]; and exhibit the ability to reason about the behavior of
other intelligent agents operating in their environment through the demonstration of higher
cognitive functions such as Theory of Mind [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. Finally, it is worth noting that that in the
realization of a CA, especially considering the studies on Free Energy Principle (FEP) and Active
Inference (AIF), some criteria more closely related to the issue of embodiment [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ], although largely
satisfied by current Transformer architectures applied to language processing, could, in any case, be
completely exhausted in the broadest sense of the term in a very short time, given the rapid
progress in the implementation of NLMs in the field of robotics [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ][
        <xref ref-type="bibr" rid="ref22">22</xref>
        ][
        <xref ref-type="bibr" rid="ref23">23</xref>
        ].
      </p>
      <p>Building on this foundation, the purposes of this paper are to investigate the relationship among
NLMs, FEP and AIF, and to argue that NLMs as undesigned CA under FEP and AIF offer a model for
sustainable AI. Indeed, by minimizing prediction errors, NLMs reflect principles of cognitive
efficiency that are central to FEP and AIF, making them not only powerful in language tasks but also
resource-efficient and adaptable to various contexts. For these aims, in the next two sections we
examine the analogies and differences between NLMs, FEP, and AIF and consider the sustainability
of NLMs as cognitive architectures, discussing their resource efficiency and adaptability.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Neural Language Models in Energy Saving Mode</title>
      <p>Having suggested that NLMs can be considered as undesigned CA, we now examine how these
systems share key features with the FEP and AIF. Indeed, both FEP and AIF emphasise efficiency
and prediction within complex systems, a concept that is reflected in the way NLMs operate.
However, there are important differences between NLMs and these frameworks.</p>
      <p>
        The FEP, developed by Karl Friston, is a general principle which states that biological systems –
both individuals and more complex systems such as communities and societies – exist because
they can maintain the equilibrium between themselves and the environment by minimising free
energy [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. A practical realisation of FEP is the mechanism of predictive processing (PP), i.e., the
process by which the brain minimises free energy or surprise. Indeed, the brain minimises
prediction errors, namely, signal mismatches between the predicted input and the input actually
received from the environment [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. This minimisation can be achieved in a number of ways: by
immediate inference about the hidden states of the world, which may explain perception; by
updating a global world model to make better AI predictions, which may explain learning; and
finally, by acting to sample sensory data from the world that matches the predictions [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ]. PP has
been advocated as a unified account for perception, action and cognition and can be described as
an approximate Bayesian inference process based on Gaussian inference [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ]. This means that in
order to reduce surprise or uncertainty about their next states, systems use the information gained
from previous interaction with the environment, using generative models to predict sensory
inputs and minimise free energy [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. The free energy minimisation is achieved through AIF and
internal autoregulation, which ensures a constant updating of information gained from the
environment, leading to accurate predictions of future next states [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ][
        <xref ref-type="bibr" rid="ref26">26</xref>
        ]. In other words,
through AIF, an organism (let’s call it an agent) minimises free energy by updating its model of the
world through observation and inference about the states of the world itself, as well as through
action. This means that an agent actively modifies its own environment or its behaviour – which is
defined by its actions – in order to make the environment – and the future – more predictable. In
summary: FEP is a general theoretical framework that describes how single organisms or more
complex systems minimise uncertainty in order to maintain their states. PP is the specific
mechanism by which the brain reduces this uncertainty, as well as an operational implementation
of the FEP. AIF is the process by which the organism/system acts to reduce uncertainty by
integrating perception, action and learning.
      </p>
      <p>
        As emphasised above, PP operates as an approximate Bayesian inference process, as the brain
uses predictions based on prior experience to minimise the error between predicted inputs and
actual sensory data. And this ongoing process of prediction error correction is central to
maintaining cognitive efficiency and reducing uncertainty about the environment. Similarly,
NLMs employ pre-trained generative architectures that perform tasks such as speech generation,
comprehension, and context prediction by minimising errors in predicting next word sequences.
Although NLMs are not explicitly designed to model uncertainty in the same way as biological
systems, they exhibit behaviour consistent with PP. Indeed, just as the brain adjusts its predictions
based on incoming sensory data to minimise prediction errors, NLMs adjust their word predictions
based on large amounts of prior data to produce contextually appropriate output. Although their
mechanism is based on statistical learning rather than explicit Bayesian inference, the overarching
principle of reducing prediction error is similar to the goal of PP. Thus, although NLMs are not
explicitly designed to minimise uncertainty in the same way as systems based on FEP, they exhibit
behaviours consistent with the principles of error minimisation and efficient prediction inherent
in PP. In contrast to the passive nature of NLMs, AIF systems engage in active exploration of the
environment, constantly updating their predictions based on interactions with the world.
Giovanni Pezzulo and colleagues [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ] have argued that AIF generative models are characterised by
being active, i.e., they incorporate action as a core mechanism for reducing uncertainty. In
contrast, NLMs are generative models that operate passively – they generate predictions based on
pre-existing data rather than through interaction with a dynamic environment. This difference is
crucial: while NLMs are powerful in terms of language processing, they lack the adaptive,
environment-driven characteristics inherent in the AIF model. Thus, the primary difference
between NLMs and FEP and AIF models lies in their interaction with uncertainty. NLMs are
trained on static data and passively generate responses based on previous inputs, whereas AIF
models actively seek to minimise uncertainty through dynamic interaction. Despite these
differences, both systems share the overarching goal of minimising error, which makes NLMs
conceptually related to FEP and AIF in their prediction mechanisms. In terms of practical
implementations of AIF, they are particularly valuable in uncertain environments, such as
robotics, where estimation, adaptive control and human-robot collaboration rely on constant
updates to predict and adapt based on sensory input. For example, models using PP have been
applied to enable robots to learn and infer their body configurations from multisensory data [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ].
In robotic applications, AIF-based systems have been shown to use active vision, selecting the
most informative viewpoints to reduce uncertainty in dynamic environments. This adaptability is
particularly valuable in tasks where the distribution over the environment is not predefined, as
seen in recent simulations where robotic agents choose actions based on expected free energy to
optimise task performance [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ].
      </p>
      <p>
        AIF models also promote transparency and traceability, making DM processes more
understandable and ethically accountable. Unlike more complex models, such as deep neural
networks based on feedforward architectures, AIF’s reliance on Bayesian networks provides
clearer, more interpretable processes, improving accountability and fairness. This transparency
ensures that stakeholders can trust the DM process and that the system’s actions can be easily
traced, which is also a core principle of ethical AI [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ]. In addition, AIF-based systems are highly
adaptive, continuously updating and refining their models to respond to changing environments
and contexts. This dynamic approach makes DM processes more robust and context-aware,
allowing systems to balance short-term and long-term objectives. This adaptability, combined
with the transparency and continuous improvement of AIF, provides a strong foundation for the
development of sustainable and accountable AI systems [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ].
      </p>
      <p>In summary, although NLMs and AIF models have several differences, both share the goal of
minimising prediction error, which links them to the principles of FEP and PP. In particular,
AIFbased AI offers advantages in terms of accountability, transparency and sustainability, providing a
robust framework for building systems that actively reduce uncertainty and dynamically adapt to
their environment.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Undesigned but Sustainable Cognitive Architectures</title>
      <p>So far, we explored how NLMs can be considered as undesigned CA and examined the links
between NLMs, the FEP and AIF. All that considered, now we analyse why NLMs can also be
considered sustainable CA through the lens of AIF-based sustainable models.</p>
      <p>
        Sustainability in AI is a multifaceted concept. It includes sustainability in terms of the goals of
the technology – such as creating tools that address sustainability challenges – and sustainability
in terms of resource efficiency, both computationally and energetically [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ]. There is also the
dimension of social sustainability to consider: socially sustainable AI is also ethical AI, ensuring
accountability and transparency [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ]. AIF models promote transparency by making DM processes
traceable from start to finish, allowing stakeholders to understand and trust these systems. In
addition, AIF models are highly adaptable, dynamically adjusting to changing environments and
requirements, which is critical in real-world scenarios where conditions can change rapidly. This
adaptability results in DM processes that are more resilient and context-aware, rather than driven
solely by immediate benefits. The continuous learning and updating capabilities of AIF further
enhance their predictive capabilities, enabling these systems to refine strategies and optimise
performance over time. AIF models are also equipped to operate across multiple time scales,
balancing short-term and long-term objectives to improve overall system efficiency [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ].
      </p>
      <p>NLMs align with these sustainability principles through their inherent versatility and
efficiency. Unlike traditional AI systems designed for specific tasks, NLMs are general-purpose
models that can handle a wide range of applications – from text generation to translation –
without requiring extensive retraining for each new task. This flexibility reduces the need for
specialised models, saving both computational and human resources. The emergent capabilities of
NLMs allow them to scale across domains, making them valuable tools for general problem
solving, while maintaining a level of resource efficiency in line with sustainability goals. Once
trained, NLMs operate efficiently across multiple tasks with minimal additional energy
requirements, in contrast to the high cost of continuously retraining task-specific models.</p>
      <p>Concerning practical examples of the relationship between FEP and AIF and NLMs, we can refer
to medical applications: AIF has been employed to enhance the precision and contextual relevance
of LLM responses, particularly in guiding the development of models that generate more accurate
and contextually relevant results. For example, researchers have integrated AIF principles to
enhance the efficacy of NLM-guided medical interventions, wherein models, informed by AIF, act
as human therapists. The aforementioned systems comprise a “therapist agent” who responds to
patients’ queries and a “supervisor agent” who assesses the veracity and dependability of these
responses. This method employs AIF to iteratively minimise prediction errors and enhance the
quality of NLM-generated advice in intricate medical scenarios, particularly in the context of
conditions such as insomnia therapy [33].</p>
      <p>Another interesting example lies in the field of education, where the combination of AIF and
NLMs facilitates the simulation of more active and embodied learning experiences. NLMs can be
incorporated into educational settings, such as Montessori classrooms, where the tenets of AIF
inform active learning. In this instance, LLMs are employed to facilitate interactions, assist
students in formulating hypotheses, test them and reduce prediction errors. This hybrid approach
emphasises exploration and engagement with material environments, in accordance with the
predictive processing frameworks that drive human learning [34]. These examples illustrate how
AIF enhances the real-world application of NLM by introducing an active, feedback-driven
process that aligns with human cognitive and interactive dynamics.</p>
      <p>However, we cannot neglect the sustainability challenges posed by NLMs, in particular the
significant energy consumption during the initial training phase. As Joan Kwisthout and Iris van
Rooij [35] note, systems based on Bayesian inference – including those aligned with FEP – become
exponentially more computationally demanding as the number of variables increases. This
complexity also affects NLMs, where large-scale models require significant resources. Mitigating
this energy demand remains a critical challenge for the future development of sustainable AI.
However, advances in hardware optimisation and more energy-efficient architectures can further
reduce the environmental impact of NLMs training and contribute to the overall sustainability of
these models.</p>
      <p>Despite these challenges, NLMs offer a unique opportunity for advancing sustainable AI
through their flexibility and explainability in virtue of the opportunity to compare their abilities
based on tests used to study human cognition. Generative models such as NLMs can be traced,
making their decision processes more interpretable than those of other AI systems. This
traceability fosters ethical accountability, which is a critical component of sustainability. In this
way, NLMs represent a compelling intersection of efficiency, adaptability, and functionality, key
elements of sustainable AI. All the above considered, although NLMs and AIF differ in their
approach to handling uncertainty and interaction with the environment, NLMs still exhibit
features that make them viable candidates for sustainable AI architectures. Their generality,
resource efficiency, and potential for transparency position them as critical models for future AI
development, balancing performance with sustainability goals.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusions</title>
      <p>In this paper, we have explored the conceptual parallels between NLMs, FEP, and AIF, considering
NLMs as undesigned CA. Through an examination of their shared characteristics – such as
prediction error minimization and resource efficiency – alongside their differences in interaction
with the environment, we have argued that NLMs represent a unique form of undesigned CA that
offers new perspectives on both artificial cognition and sustainability in AI. By their very nature,
NLMs do not follow explicit cognitive designs, yet they exhibit emergent behaviours consistent
with the principles of the FEP and AIF. These models show a remarkable ability to generalise
across tasks, minimising the need for highly specialised architectures. As a result, NLMs
inherently promote sustainability goals within AI by optimising the use of data, computation and
energy. Their versatility, coupled with resource-efficient operation, reflects the adaptive and
resilient characteristics required for long-term sustainability. This analysis suggests that the
future of AI development should increasingly consider undesigned CA as viable pathways for
creating systems that balance high performance with sustainable resource use.
[33] R. Shusterman, A. C., Waters, S. O’Neill, P. Luu, D. M. Tucker, 2023, An Active Inference Strategy
for Prompting Reliable Responses from Large Language Models in Medical Practice, arXiv:
2407.21051.
[34] L. D. Di Paolo, B. White, A. Guénin-Carlut, A. Constant, A. Clark, 2024, Active inference goes to
school: the importance of active learning in the age of large language models. Phil. Trans. R. Soc.</p>
      <p>B 379: 20230148. https://doi.org/10.1098/rstb.2023.0148.
[35] J. Kwisthout, I. van Rooij, Computational resource demands of a predictive Bayesian brain,
Computational Brain Behavior 3, (2024): 174–188.</p>
    </sec>
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