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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Plasticity and Robotics</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Universit´e Paris-Sorbonne / CNRS</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Paris martin.flament-fultot@paris-sorbonne.fr</string-name>
        </contrib>
      </contrib-group>
      <abstract>
        <p>The link between robotic systems and living systems is increasingly considered to be important. However finding out more precisely which properties these two kinds of system must share is a difficult question to answer. It is suggested that behavioral plasticity constitutes a crucial property that robots must share with living beings. A classification is then proposed for the different aspects of plasticity that contribute to global behavioral plasticity in robotic and living systems. These are mainly divided into four dimensions and three orders. Finally some consequences of this classification are mentioned regarding the future of biologically-inspired robotics and the role of evolutionary AI.</p>
      </abstract>
      <kwd-group>
        <kwd>Plasticity</kwd>
        <kwd>Adaptation</kwd>
        <kwd>Biologically-Inspired Robotics</kwd>
        <kwd>Artificial Intelligence</kwd>
        <kwd>Artificial Life</kwd>
        <kwd>Cognitive Science</kwd>
        <kwd>Philosophy</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        More than ten years ago, Rodney Brooks observed the state of AI and A-life
and concluded that, although important progress had been made, something
fundamental was still missing from robotics [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. The symptom: robots don’t
quite look like living things yet. Paradoxically, after more than a decade of
intense research, there has been very interesting and promising developments–
some robots now do look more like living creatures–yet we are still missing the
special ingredient, i.e. an explicit general principle responsible for this. Moreover,
some of the best looking (i.e. more life-like looking) robots can behave and look
very differently, making it very unlikely to associate the general principle to any
particular design. So what can this general principle be–if there is any single
principle at work ? Is it better cognition: a richer representation of the world,
more computing power, more efficient algorithms ? Or is it better bodies: more
realistic morphologies, lighter materials, more powerful actuators ? I propose
that the principle we are looking for is plasticity.
      </p>
      <p>Robots that remind us of the living do so because they are plastic. Notice that
this a property of their behavior –whenever structure also reminds of the living
it is only insofar as it contributes to life-like behavior. So it is neither structure
nor function that renders some robots plastic but rather how they carry out
their function and how individual factors contribute to overall plasticity. Before
going any further an operational definition of plasticity has to be provided. Thus
I take plasticity to be the potentially adaptive capacity to change one’s behavior
at some level. In other words the capacity to modify one’s state under some
aspect towards the accomplishment of a given task in a given task-environment.
In the rest of this paper I will propose a general classification of the different
kinds of plasticity an agent can be endowed with without pointing at any specific
mechanism since these kinds of plasticity seem to be multiply realizable. This
classification is only intended as a provisional frame to start tackling a concept
that hasn’t been explicitly and systematically studied until now. Any changes
and improvements that might come up in the future are highly welcome.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Plasticity and Plasticities</title>
      <p>
        I divide plasticity into Dimensions, Orders and Levels. On the Dimension axis
we find the traditional factors of interaction: environment, body and cognition.
These are mainly inspired by the idea stemming from embodied AI that
behavior emerges from the interactions between these factors [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ],[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. I add a fourth
dimension, viz. development, understood here as the process of building the
agent, putting together its constituent elements, usually through endogenous
growth. Development is increasingly considered to be an essential factor for the
design of robotic agents and there has been different attempts to integrate it
with the principles of AI, although it is still a complicated project to accomplish
[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Some consider development as a temporal dimension shared with learning.
My treatment will be different as learning consists in an Order rather than a
Dimension.
      </p>
      <p>
        There are at least 3 orders of plasticity. Peter Godfrey-Smith [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] introduces
the first two orders to describe the complexity of a given organism. First order
plasticity thus refers to the capacity to produce different behaviors according to
the situation, e.g. reactive behavior, such as escaping a predator when detected.
Second order plasticity refers to the capacity to change the rules linking those
behaviors to those situations, e.g. learning as in adding a new rule to escape
some animal if it did some harm. To these two orders of plasticity I add a
third one–0.5 order plasticity–between the first and pure lack of reaction since
it is sometimes adaptive to not resist yet not react actively either. I call it 0.5–
even though it doesn’t mean much mathematically–because it is a quasi first
order plasticity. The idea will become clearer below. Next I will provide some
mechanisms belonging to the living and artificial world as illustrations of the
principles of plasticity and the classification I propose. Then I will conclude
with a few remarks about the future of robotics.
3
3.1
      </p>
    </sec>
    <sec id="sec-3">
      <title>Plasticity: A Classification</title>
      <sec id="sec-3-1">
        <title>Cognitive Plasticity</title>
        <p>This is the most accepted and intuitive dimension where plasticity is found.
Consider as an example of first order cognitive plasticity the main computational
element: programs. Programs hold instructions or action rules, mapping inputs
to outputs. Thus a given agent controlled by a program can show first order
plasticity by responding with different actions (outputs) to different situations
(inputs). Second order cognitive plasticity, on the other hand, is simply the
capacity to learn. Our first order program, for instance, could hold instructions
to evaluate the success of some of its mappings from input to output and change
them to improve performance.</p>
        <p>
          0.5 order cognitive plasticity is the adaptive modification of the agent’s
cognitive apparatus by some direct force or effect from the environment, without
mediating internal states. Consider, for instance, Bird and Layzell’s evolved
radio [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]. This was an evolved electronic circuit which had been repeatedly selected
for its capacity to produce stable oscillatory outputs. But the authors soon
discovered that the oscillations actually came from direct electromagnetic induction
from a nearby computer. So-called oscillatory entrainment also happens in neural
networks where the neural units are highly interconnected and form
reverberating circuits [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ]. Insofar as the oscillating frequency is passively adopted from
an external source, this is 0.5 order plasticity. Other well-known examples can
be found in the direct chemical action of neuromodulators added to the system,
such as drugs and other substances (see [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ] on the behavior of GasNets, for
instance).
3.2
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>Bodily Plasticity</title>
        <p>
          Embodied cognition has contributed profoundly to placing the body back in the
main field of behavioral causation [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ], [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ]. The body too presents all three orders
of plasticity which must be taken under consideration when trying to understand
cognitive phenomena and particularly when designing AI agents. 0.5 order bodily
plasticity could be divided into materials and morphology. Materials can thus
be soft and comply passively to external forces as in robotic arms which yield to
forces thanks to rubber components [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ]. Another way to increase this kind of
plasticity is to have many degrees of freedom and actuators which increase the
number of different morphological configurations and movements the agent can
afford.
        </p>
        <p>
          First order bodily plasticity is less conspicuous. Still it can be found in the
structural and material properties of the body which don’t just passively yield to
external forces, but actively react, adding some mediating process or mechanical
action. Muscles and tendons, for instance, are increasingly being added to legged
robots since they can store energy and go back by themselves to their preferred
configuration like springs [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]. The body anatomy’s intrinsic dynamics too can
contribute to plastic behavior. Radical demonstrations of this capacity include
the famous Dynamic Passive Walker, which literally walked through an inclined
plane without any actuators nor control system [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ], the passive somersault
agent [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ], and more recently IHMC’s Fast Runner leg design which mechanically
handles most of the robot’s gait. Biomechanical limb coordination can provide
mediating states typical of first order plasticity.
        </p>
        <p>
          Finally a growing literature on muscle memory shows how muscle
performance can change over time in order to adapt to circumstances, thus allowing for
second order bodily plasticity. For instance, muscles having a well-differentiated
function can change drastically if innervated differently, cumulative effects due
to an increasing demand in energy spending results in a modification of the
enzymatic activity of muscular cell’s mitochondria, muscle capillary density varies
according to exercise in order to adjust oxygen levels, and muscle’s architecture
changes following repeated use [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ]. All these effects are characteristic of second
order plasticity since they are state fluctuations happening over iterations of
behavioral episodes. Nothing of the sort is, to my knowledge, applied in robotics
as of now.
3.3
        </p>
      </sec>
      <sec id="sec-3-3">
        <title>Developmental Plasticity</title>
        <p>
          I propose to separate this dimension from the cognitive and the bodily
dimensions since 1) cognitive processes are reversible while developmental processes
are not [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]; 2) genetic factors don’t play a major role during cognitive tasks
while they tend to be central during development; and 3) cognitive and bodily
factors use material already present to the system while development consists
mainly in the fabrication or modification of new tissue.
        </p>
        <p>
          When talking about first order developmental plasticity the best examples
are norms of reaction and polyphenism which are now well-known and
increasingly studied phenomena [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ]. The tadpoles in some species of frog can detect
predatory presence in their environment and develop particular tissues oriented
to protection (Ref. [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ] p. 209). Godfrey-Smith [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ] holds that this kind of
plasticity shows proto-cognitive properties since the system does not simply passively
yield to, say, the predator’s presence, but instead detects it and executes some
adapted developmental routine.
        </p>
        <p>
          In order to distinguish first order from 0.5 order developmental plasticity one
must keep in mind that development is a chemical process. As such there can
be many sources of direct action over chemical conditions leading to variability
in the final phenotype. Some species of fly’s growth speed, for instance, depends
on temperature. Insofar as no genetic factors are involved in detecting the
temperature and triggering some specific reaction, this form of plasticity can be due
to direct catalytic action from the heat [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ].
        </p>
        <p>Concerning second order developmental plasticity there is a fundamental
difference between the developmental dimension and the other two. Indeed, second
order variations don’t happen during the lifetime of the agent. This can be a
consequence of the already mentioned irreversibility of this dimension. Second
order variations then seem to concern the genome when it is replicated.
Crossing over, for instance, can be seen as a mechanism whose function is to increase
second order developmental plasticity. Nevertheless, robots’ life cycles are not
necessarily restricted to be equal to those of known biological agents. Second
order plasticity during the lifetime of a robot is not conceptually impossible.
3.4</p>
      </sec>
      <sec id="sec-3-4">
        <title>Environmental Plasticity</title>
        <p>
          As stated earlier, environmental plasticity intervenes during behavior. A case of
0.5 order environmental plasticity can be found in the so-called Swiss Robots
from Rolf Pfeifer’s lab, which have an architecture similar to Braitenberg’s
vehicles’. The difference is that in the case of the Swiss Robots, the environment
contributes to the behavior and the task. Indeed, by being passively moved by
the robots, blocks change the architecture of the environment, thus affecting the
behavior of the robots, and producing the emergent result of a well ordered
environment where the blocks are clustered together instead of randomly distributed
over the arena [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ].
        </p>
        <p>First order environmental plasticity can easily be produced by adding other
agents to the environment–plasticity will be inherited from the living plastic
elements present in the world. In addition there are other objects such as
scaffolds and other kinds of inanimate elements in a given environment that can
count as first order environmental plasticity. For instance some monkeys use the
spring-like properties of tree branches in order to jump from tree to tree. Also
many complex inanimate phenomena are not just passive reactions to, e.g., a
strong sound or perturbation as in avalanches, but rather relatively long
processes that could be used adaptively by an agent in some plausible scenarios
such as attempting to bury an enemy under the snow.</p>
        <p>Finally second order environmental plasticity can be defined as any
cumulative effect in the environment leading to the progressive modification of an
agent’s behavior over consecutive episodes. Stigmergies constitutes a proverbial
case here. These are commonly known as the trails of pheromones ants leave
behind when navigating an environment and which, upon attracting other ants
to follow the scent, progressively increase its concentration levels thus creating a
road which affects the overall behavior of ants over time. Stigmergies can also be
obtained with mere inorganic soil if it can cumulate depth when walked upon.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Consequences and Conclusion</title>
      <p>
        How can all these forms of plasticity be integrated in a single agent-environment
system ? There seems to be just too many interactions to track in a functioning
robotic agent. But this is precisely the answer to Brooks’ question about the
extra ingredient: life-like behavior is a property of multiply plastic integrated
agents, such as animals. So plasticity alone doesn’t guarantee adaptiveness. The
classification shows that many aspects of plasticity need to be carefully tuned
and integrated in order to obtain a functional agent. One way to ensure that
plasticity contributes to adaptiveness is to seek some sort of balance between the
dimensions and orders of plasticity [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. Obtaining such a balance from a priori
design is extremely difficult. Nevertheless submitting the agent to a selective
pressure should guarantee a balanced result, as it is the case with living creatures.
Some promising work is already being carried out in this direction (e.g. [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]).
This implies that evolutionary robotics is destined to fulfill a crucial role in AI, by
enhancing and increasing our techniques and knowledge about evolutionary and
learning algorithms directed towards the production of plastic, life-like agents.
Additional progress must be expected from new materials and computational
power to simulate realistic agent-environment systems when development is too
expensive to reproduce in real robots.
      </p>
    </sec>
  </body>
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