Evolution Autoencodes Life's Interactions as Species that are Decoded into Ecosystems - arXiv

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Evolution Autoencodes Life's Interactions as Species that are Decoded into Ecosystems - arXiv
Cohen and Marron, March 2022

                                         Evolution Autoencodes Life’s Interactions as
                                         Species that are Decoded into Ecosystems.
                                         Irun R. Cohen∗1 and Assaf Marron2
                                         1
                                           Department of Immunology and Regenerative Biology, Weizmann Institute of Science,
                                         Rehovot , 76100 Israel irun.cohen@weizmann.ac.il
                                         2
                                           Department of Computer Science and Applied Mathematics, Weizmann Institute of Science,
                                         Rehovot, 76100 Israel , assaf.marron@weizmann.ac.il

                                         Abstract The continuity of life and its evolution, we have proposed,
                                         emerge from an interactive group process termed Survival-of-the-Fitted.
                                         This process supplants the Darwinian theory of individual struggle and
arXiv:2203.11891v4 [cs.NE] 30 Jun 2022

                                         Survival-of-the-Fittest as the primary mechanism of evolution. Here,
                                         we propose that Survival-of-the-Fitted results from a natural process
                                         functionally related to computer autoencoding. Autoencoding is a
                                         machine-learning technique for extracting a compact representation of
                                         the essential features of input data; dimensionality reduction by autoen-
                                         coding establishes a code that enables a variety of applications based on
                                         decoding of the relevant data.
                                         We establish the following points:
                                         1) We define a species by its species interaction code, which consists
                                         of the fundamental, core interactions of the species with its external
                                         and internal environments; core interactions are encoded by multi-scale
                                         networks including molecules-cells-organisms.
                                         2) Evolution proceeds by sustainable changes in species interaction
                                         codes; these changing codes both reflect and construct the species
                                         environment. The survival of species is computed by what we term
                                         Natural Autoencoding: arrays of input interactions generate species
                                         codes, which survive by decoding into networks of sustained ecosystem
                                         interactions. DNA is only one element in Natural Autoencoding.
                                         3) Natural Autoencoding and artificial autoencoding processes manifest
                                         defined similarities and differences.

                                         Survival-of-the-Fitted by Natural Autoencoding sheds a new light on the
                                         mechanism of evolution and explains why a habitable biosphere requires
                                         a diversity of fitted group interactions.

                                         Keywords
                                         Evolution, Interaction, Survival of the Fitted,
                                         Species Interaction Code, Biosphere Autoencoding;
                                         Artificial Autoencoding; Encoding; Decoding.

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Evolution Autoencodes Life's Interactions as Species that are Decoded into Ecosystems - arXiv
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1    Evolution emerges from                                  (termed interactors) in which the interactors transmit
                                                             or exchange energy, matter or information.
     cooperative interactions;                               Sustainable types of interactions are characterized
     basic definitions.                                      by repetition and sequence. Metabolic interactions,
Evolution is the narrative of changes in species and         for example, are organized in repeating, sequential
their interactions over time (Koonin, 2011).                 pathways—one interaction connected to the next in
Ever since Darwin (Darwin, 1860), the mechanism un-          line (Judge and Dodd, 2020). Cycles of reproduction,
derlying evolution has been taught to be Natural Selec-      growth, aging and death are accessible examples of the
tion, which is based on a continuous struggle of variant     universality of repeated, sequential interactions.
individual organisms for survival and reproductive ad-       Energy is the impetus behind motion and activ-
vantage in the face of limited resources; this struggle      ity (Doige and Day, 2012), including the capacity to
leads to survival of the fittest variants and their domin-   do work. Energy enables interactions.
ion over the less fit; predominating proliferation of the    Information we define according to Shannon as a par-
winners determines the characters of species.                ticular non-random structure or arrangement of entities
In the interval since Darwin, science has learned that       or processes (Shannon, 1948; Cohen, 2006).
all living systems—cells, organisms, species (including      Arrangements bear information; but an arrangement
Homo sapiens) and ecosystems—survive in extensive            by itself has no meaning unless it interacts with other
networks of interaction and group cooperation (Cohen,        arrangements to produce some effect (Cohen, 2006;
2016; Cohen and Marron, 2020; Sachs et al., 2004). A         Cohen, 2000). The consequences of the interactions
few examples include the dependence of every multi-          of structured information constitute the meaning of
cellular organism on a microbiome (Blaser, 2014); the        the information. A sequence of DNA, for example,
symbiotic web of forest trees and fungi (Simard, 2018) ;     bears information that only gains meaning through ex-
and the collaboration and symbiosis that create a coral      pressed interactions including transcription and trans-
colony (Rosenberg et al., 2007). The biosphere is sus-       lation (Cohen et al., 2016). Written words, too, have
tained by these interactions; the biosphere is a world       no meaning unless somebody or some thing can read
wide web of interactions.                                    them. Interaction extracts meaning from information.
Survival-of-the-Fitted is an alternative mechanism to        Matter itself is a product of interaction: the nuclei of
account for evolution (Cohen and Marron, 2020; Co-           atoms are created by interactions between fundamen-
hen, 2016; Cohen, 2000). Rather than the Darwinian           tal particles; atoms are formed by interactions between
struggle for individual reproductive advantage, surviv-      nuclei and electrons; and molecules are formed by in-
ing organisms and species are those that integrate into      teractions between atoms.
networks of sustaining interactions; longevity and rates     So we must conclude that anything made of atoms or
of reproduction are not individual achievements but are      molecules, including living entities and the biosphere
largely encoded in the species.                              itself, is made of interactions. As stated by Feyn-
Survival-of-the-Fittest would claim that what wins,          man (Gleick, 1993) and others (Rovelli, 2017), inter-
works; Survival-of-the-Fitted affirms that what works,       actions constitute reality.
works.
Natural Selection embodies fitness as the mechanism
that drives evolution. What mechanism generates fit-         2    Species are formed by core
tedness? In the body of this paper, we shall demon-               codes of interaction.
strate that Survival-of-the-Fitted is the outcome of a       The concept of species is ancient, and species, since
process we term Natural Autoencoding.                        Darwin, are linked to evolution; this link is reflected in
                                                             the title of Darwin’s foundational work on evolution:
Interactions evolve                                          The Origin of Species (Darwin, 1860).
The substance of evolution, we have proposed, is the         The definition of species, despite the term’s wide use,
process of interaction (Cohen and Marron, 2020); in-         is controversial: A search in Google Scholar for species
teractions are what evolve. For example, individual          returns millions of publications; but there is not one
brain cells of humans and apes, indeed, of cats and          universally accepted definition; scientists have proposed
mice, may be quite similar. The differences between          dozens of different definitions based on morphology, ge-
mammalian species and between individuals within a           netics, sexual reproduction, ecology, and other crite-
mammalian species can emerge from the different num-         ria (Mallet, 1995).
bers and interaction networks of largely stereotypical       The concept of species has interested humans since an-
cells (Striedter, 2005).                                     tiquity. The Bible, for example, names species of ani-
                                                             mals that an observant person may or may not eat; the
                                                             Bible amends the list of names with a functional code:
Basic definitions                                            a permitted species has cloven hoofs (a structural fea-
This paper uses the following terminology:                   ture) and chews its cud (a dynamic process) (Levit. 11,
We have already used the term interaction: Interactions      Deuter. 14). Aristotle used codes, termed Vegetative,
are mutual relationships between two or more entities        Sensitive, and Rational, to distinguish plants, animals

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Evolution Autoencodes Life's Interactions as Species that are Decoded into Ecosystems - arXiv
Cohen and Marron, March 2022

and humans (See Britannica entry for Aristotle).              2017); the flowers of a plant are structural and visual
People may differ about the names of species; however         images of the plant’s specific pollinators (Hu et al.,
abstract, a code is objective and testable; recall Juliet’s   2008; Kritsky, 1991). Conceptually, these interactors
reference to smell in her code for defining a rose by any     and their environments fit one another like locks and
name (Shakespeare’s Romeo and Juliet, Act 2).                 keys (Cohen, 2000).
In the spirit of codes, we here define a species as a         Core codes not only fit species environments, they can
collective of organisms that share a core code of poten-      actually construct them (Scott-Phillips et al., 2014):
tial, repetitive interactions with a jointly constructed      beaver core interactions build dams to create beaver
external and internal environment, including both liv-        environments (Westbrook et al., 2006); birds’ nests and
ing and non-living components, both structural and dy-        ant hills fashion the environments of these species; ants
namic. Thus, a species interaction code of sunflowers         domesticate aphids (Depa et al., 2020); interactions be-
would include interactions that are common to all or-         tween wolves and humans created dog species environ-
ganisms, such as cell division, interactions that are com-    ments (Nagasawa et al., 2015). Modern humans, in
mon to all plants, such as photosynthesis, and interac-       contrast to now extinct versions of earlier humanoids,
tions that characterize sunflowers among others, such         thrive in environments essentially constructed by mod-
as heliotropism. The core code of interactions emerges        ern humans (Jablonka, 2011).
from the essential structures, processes and behaviors        Barbieri has pointed out the importance of codes in
that characterize the members of a species. The core          living systems generally; he proposed that life emerges
code enables the species to survive and thrive in its en-     from codes that enable the maintenance and the de-
vironment. All interacting organisms express their own        velopment of structures and processes, including the
species interaction codes.                                    genetic code and its expression; on this basis, he de-
In principle, each species could be characterized by par-     veloped the concept of “codepoiesis”, the idea that liv-
ticular core interactions. A detailed list of a species       ing systems function to preserve organic codes and to
interaction code for even the simplest species of bacte-      evolve by developing new codes. Barbieri defines a code
ria would challenge experts. We suggest that a pair-          as “a mapping between the objects of two independent
wise or set perspective might provide a manageable            worlds” (Barbieri, 2015; Barbieri, 2012). Species in-
solution: given two related or interacting species or         teraction codes, in contrast, are not mappings between
sets of species, we might focus only on the interactions      "independent worlds"; rather they are sets of mutually
that distinguish the pairs or the sets. Below, we shall       dependent interactions that link organisms to their spe-
bring species of voles and crows to illustrate that re-       cific environments and ecosystems.
lated species may be distinguished by only a few code         An interactive system, like a species, that encodes
interactions.                                                 an internal representation of its environment can be
Living systems manifest a great variety of interactions;      termed a cognitive system (Cohen, 2000). In this sense,
however, living systems exist by virtue of two essen-         species are cognitive systems; each, thanks to its core
tial properties: their ability to reproduce their kind        code, bears an intrinsic representation of how it lives
and their ability to metabolize the energy they require       and where it lives. This representation of the species
for maintenance and reproduction in their particular          environment enables a species to integrate within a suit-
environment. Quite simply, species whose constituent          able ecosystem. Below, we shall describe the integra-
organisms do not reproduce and metabolize cannot              tion of species into sustaining ecosystems as a decoding
live (Dupré and O’Malley, 2013). The details of these         of species interaction codes. Cognition can thus be seen
essential interactions are encoded in species interaction     as an element in fittedness — as a way to fit into an
codes.                                                        appropriate environment.
                                                              Matter alone, unlike living species, is not cognitive;
                                                              other than its level of energy, matter bears no intrinsic
Core codes reflect and construct the                          representations of how or where it exists.
species environment
In addition to describing the shared program that es-
tablishes organisms in a species, the core code ex-           Core species interactions may be shared
presses an image of the environments with which the           and/or specialized
constituent organisms of the species interact (Cohen,         Some core interactions may be common to many dif-
2000). This image of the environment is intrinsic to          ferent species: all organisms share cell division; all
the species. For example, the shedding of their broad         multi-cellular organisms interact with resident micro-
leaves by deciduous trees is an image of the recur-           biomes (Blaser, 2014); all mammals, except for mar-
rent winters the trees have evolved to endure (Hill           supials and monotremes (Graves, 1996), interact with
and Broughton, 2009); nitrogen-fixing plants manifest         their fetuses by way of placentas (Wildman et al.,
structures and molecular processes that make possible         2006), but as far as we know, only H. sapiens, among
their interactions with particular species of nitrogen-       mammals, features core codes that include social and
fixing bacteria—likewise, the bacteria engage in core in-     conceptual interactions using verbal language (Chris-
teractions with their host plants (Vitousek et al., 2002);    tiansen and Kirby, 2003).
an animal’s teeth echo the animal’s diet (Melstrom,           The core code of interactions may include differences

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Cohen and Marron, March 2022

between individuals or classes within a species; for ex-    work, or complex system, express and process more in-
ample, males and females perform different interac-         formation or manifest properties not previously present
tions; only queen bees produce fertile eggs; some collec-   in its constituent components (Crutchfield, 1994; Co-
tives are controlled by dominant individuals; a variety     hen and Harel, 2006).
of specializations exist within particular species.         Importantly, the scales of interactions in living sys-
Because of the specialization of organisms within a         tems are interwoven composites, one hidden within the
species, not every organism need perform all the in-        other—molecules in cells, cells in organisms, organisms
teractions in the species’ list of core interactions.       in species, and species in ecosystems.
                                                            Repeated patterns of interactions, be they biochemical
Circumstantial interactions can precede                     or social, form additional levels, albeit more dynamical
                                                            than structural, within this multi-scale architecture.
core interactions                                           Molecular networks, emerging from the chemical evo-
Beyond a code of core interactions, many interactions
                                                            lution of matter, evolved into a primordial type of liv-
are circumstantial; for example, most humans today
                                                            ing cell that further evolved into families of prokaryote
interact with computers, but this interaction is only
                                                            cells (Puigbò et al., 2010). Prokaryotes, then and now,
recent; the hooded crows in Rehovot interact with hu-
                                                            survive in cooperative ecosystems (Keller and Segel,
mans and cats to eat cat food and human garbage, but
                                                            1970; O’Toole et al., 2000).
only recently. These circumstantial interactions are not
                                                            Some billion years after their appearance, some
core codes, but may be derived secondarily from core
                                                            prokaryote cells (bacteria and archea) merged through
codes—for example, human interactions with comput-
                                                            endosymbiotic interactions to initiate a higher scale of
ers evolved from the core code of human language; cir-
                                                            evolution—the eukaryote cell (Margulis, 1981), which
cumstantial crow interactions with humans and cats
                                                            features complex organelles including nuclei, mitochon-
evolved from crow core social intelligence (Kurosawa
                                                            dria, and more.
et al., 2003).
                                                            Yet higher-scale multi-cellular organisms arose from the
Some core interactions are likely to arise de novo from
                                                            evolution of cell differentiation, a process that enables
a critical change, such as a mutation; for example, ge-
                                                            single eukaryote cells to specialize into variously dif-
netic changes in the human larynx and voice box, which
                                                            ferent functional types and band together by activat-
are absent in the Neanderthals (Gokhman et al., 2020),
                                                            ing selective segments of their DNA (Slack and Dale,
may have had a significant influence on the core inter-
                                                            2021); skin, muscles, bones, brains, guts and the rest of
actions mediated by human speech.
                                                            the cell types that constitute multi-cellular organisms
Other core species interactions may first have arisen
                                                            differentiate from stem cells.
as circumstantial interactions; the phenomenon of ge-
                                                            These more complex multi-cellular organisms continue
netic assimilation described by Waddington is an
                                                            to interact with earlier forms of life that may not
example (Waddington, 1953): Waddington exposed
                                                            undergo differentiation; as we mentioned above, all
Drosophila (fruit flies) to heat shock which led to a
                                                            multi-cellular organisms depend on an essential micro-
change in the structure of the insects’ wings; repeating
                                                            biome (Blaser, 2014).
the circumstantial heat shock over several generations
                                                            Figure 2 depicts networks of interactions both within
eventually led to genetic fixation of the variant wing
                                                            and between networks of molecules, prokaryote and eu-
form, even in the absence of circumstantial heat shock.
                                                            karyote cells, and organisms, culminating in species,
Many core genetic interactions are likely to have arisen
                                                            ecosystems and the biosphere itself. Cells and organ-
from a history of circumstances. Figure 1 schematically
                                                            isms evolved sequentially over eons of time, but all life
summarizes the structure of the biosphere manifested
                                                            is now integrated into one multi-scaled biosphere.
through species codes of interactions.
                                                            This multi-scale, interaction-based architecture and the
                                                            constraints it induces on its constituents suggested to
The evolution of species is the evolution                   us that the biosphere might perform a type of autoen-
of species interaction codes                                coding. First, we shall briefly describe computer au-
A species becomes extinct in nature when, due to a          toencoding, and then we shall apply the autoencoding
lack of energy or offspring, an insufficient number of      concept to the natural autoencoding of evolution.
member organisms remain to fulfill the original species
interaction code (Purvis et al., 2000). The evolution of
a new species interaction code signifies the birth of a     4    Artificial autoencoding extracts
new species.                                                     the essential features of data
                                                                 sets.
3    The biosphere has evolved                              Autoencoding is a term associated with artificial in-
     interactions across scales of                          telligence, machine learning, and artificial neural net-
                                                            works (Kramer, 1991)(Goodfellow et al., 2016, Chapter
     complexity.                                            14)
Life’s interactions are scaled. We designate a higher       An autoencoder is a computer program that learns
scale when the interactions of entities in a given net-     defining features of the individuals in a given popu-

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Cohen and Marron, March 2022

lation, and then represents each individual encoded as        face recognition, cleaning out image data by removing
a value in a feature vector, or array. This code and its      insignificant "noise", anomaly detection, classification
associated encoding, generated by autoencoding, con-          and more.
stitute a compact representation of the population and        Figure 3 depicts the training and deployment of a typ-
its individuals. For example, a 1000-by-1000 pixel pic-       ical artificial autoencoding operation.
ture of a straight line segment, may be encoded using
just start and end coordinates, line width, and color.
                                                              Encoding and decoding occur in nature:
An autoencoder is constructed by an iterative train-
ing process that discovers the exact computations that
                                                              Music, for example
yield both a compact code and a faithful reconstruction       Below, we shall apply autoencoding and encod-
of each encoded individual.                                   ing/decoding, to biological interactions and to their
                                                              evolution; here, we convey the concepts of encoding and
The machinery of an artificial autoencoder includes
                                                              decoding from the computer to the natural world by
three elements: (1) The encoder receives as input raw
                                                              considering the example of human music (Fitch, 2006):
data about selected individuals, such as pixels of an im-
age, an audio signal, or measurement data from some           A musical score is almost always the result of selec-
problem domain; the encoder outputs the learned fea-          tive encoding by a composer of complex inputs present
ture vector with individual value assignments; this fea-      in his or her brain of emotions, training, life experi-
ture vector constitutes (2) The code. (3) The decoder         ence, innate talent, previous compositions and other
accepts the code representing the encoding of a particu-      factors including constraints of time, budget and op-
lar individual, and reconstructs the original data, such      portunity. The musical score is the resulting code,
as the image or the speech segment.                           which is decoded by the performers into actual music,
                                                              which is then encoded by listeners into their own brain
In the training process that builds the encoder and de-
                                                              state, which is then decoded into the listeners’ behav-
coder, the inputs and outputs are compared using a loss
                                                              ior, which might then be encoded into a state of family
function to determine how close the reconstructed out-
                                                              and social interactions.
puts are to the respective inputs. The internal parame-
ters of encoder and decoder, which are commonly built         This chain of ongoing encoding-decoding-encoding in-
using neural networks, are then adjusted and tuned, in        teractions sets the stage for appreciating the autoen-
a process termed backpropagation, usually carried out         coding enterprises that mark biology and the evolution
by gradient descent, to minimize the loss function.           of the biosphere.
Training an autoencoder is unsupervised: the data are
not labeled, so the autoencoder does not know what            5    The evolution of the biosphere
it is encoding. It is only required that the outputs be
very similar to the corresponding inputs.                          manifests autoencoding.
Once trained on a representative sample of a popula-          In everyday use, the word decoding refers to the ex-
tion, the autoencoder is able to encode and faithfully        traction of the meaning of some coded information. In
reconstruct many inputs from this population. Further-        the realm of machine-learning with autoencoding, as
more, certain autoencoders, termed variational, can use       in communications protocols and encryption, decoding
the code to generate new entities to be included in that      focuses on re-creating the input.
population.                                                   Encoding and decoding in the context of the biosphere,
The array of features that comprises the numerical code       in contrast, refers to the indefinite repetition of biolog-
may or may not include traits that a human observer           ical interactions on planet earth. The realization that
would intuitively use to compactly describe the individ-      the biosphere is sustained by continuous encoding and
ual. Hence this code vector is often referred to as the       decoding and the transformation of species codes leads
latent, invisible vector, where only a properly trained       to the definition of Natural Autoencoding (Section 4).
decoder can "understand" its features.                        Despite their differences, both the biosphere and partic-
Consequently, artificial autoencoding can function            ular machine-learning computational processes extract
without its human operators assigning meaning to the          and decode hidden codes in diverse populations. This
details of the process, that is, how the multitude of con-    discovery is the basis of the present paper.
nection weights and non-linear functions relate to the        Each molecule, cell, and organism emerges from the set
problem at hand. Autoencoding, as it were, takes place        of its constituent interactions. In addition, the set of
in a "black box" in which humans choose the network           interactions that the entity may perform is a program,
architecture and the activation functions, select the in-     not unlike a computer program, which is described by
put, and develop the loss function. Autoencoder inter-        its functions—a set of algorithms for reactive behavior.
pretability and explainability are still areas of research.   Conceptually, we have separated Natural Autoencod-
The opacity of autoencoding is important for our un-          ing into distinct encoding and decoding processes. The
derstanding of Natural Autoencoding of biosphere evo-         interactions of living systems, however, are integrated
lution, described below; biosphere autoencoding takes         into functioning composites; thus it would be difficult
place without any access of the biosphere to external         to label a particular reproductive, developmental or
representations of the process.                               metabolic process as purely encoding or purely decod-
Artificial autoencoders enable many uses, including           ing.

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Cohen and Marron, March 2022

For example, a particular sequence of DNA is decoded           maintains two closely related species in the same physi-
into a linear amino acid sequence, which itself is a code      cal environments? It turns out that the 0.28 percent ge-
that encodes a functionally folded protein. This protein       netic difference between the species encodes the degree
then serves as a code that is subsequently decoded, in         and pattern of feather pigmentation (Poelstra et al.,
the case of an antibody, into an immune response, that         2014); the two species, distinguished only by their ap-
can help encode a higher scale immune reaction that            pearance (carrions are totally black; hoodeds are partly
protects the organism from an infection. Indeed, a ma-         grey), live in peace, defying Darwinian competition. It
chine learning process has been invoked to account for         seems that crows prefer to mate with partners who look
the encoding of the state of the body by the mammalian         like their parents (Metzler et al., 2020). Thus, the two
immune system (Cohen and Efroni, 2019). More gener-            species are distinguished by a single interaction code
ally, every interaction, input, code, or output of a given     determinant of what Darwin has termed sexual selec-
autoencoder may also serve a function in another au-           tion (Darwin, 1860); what works, works.
toencoder (See Figure 5). Chained autoencoders may
also be viewed in the aggregate, forming a higher scale
autoencoding process.                                          Constraints channel encoding and decod-
Encoding and decoding processes can be used to de-             ing
scribe essentially all biological interactions that emerge     Interactions in general are organized by limitations, or
from genomic DNA including metabolic networks;                 constraints, imposed on the interactors and on the en-
growth, development and differentiation; the activities        vironment; no structures can emerge when degrees of
of the nervous, endocrine, cardiovascular, renal, respi-       freedom are not limited (Grotzinger et al., 1995). In-
ratory and digestive systems; reproduction and aging,          teractions result from constraints that channel the in-
and more.                                                      teractors to meet and interact. Moreover, interactions
Note that the DNA codes of living entities actually            themselves generate new constraints on what may fol-
emerge from the very biological structures and inter-          low; interactions constrain degrees of freedom. The cell
actions encoded in DNA; the synthesis, sequence, re-           membrane, for example, is formed by interactions be-
combination, and expressions of DNA emerge from bi-            tween lipids, proteins and other molecules that effec-
ological interactions that encode and decode DNA. A            tively establish the boundaries of the cell.
sequence of DNA is a code only if it is decoded; a code        Encoding and decoding, in this sense, are no differ-
is defined as such by the decoding interactions that de-       ent from other types of interactions; each instance of
ploy it. A sequence of DNA, like a number, a speech            encoding and decoding is guided and organized by its
sound, or a shape, is not a code unless it is decoded.         own landscape of constraints.
Any code is realized only by its decoding.

A few genes encoding interactions can                          Housekeeping autoencoding maintains
distinguish species: voles and crows                           existing species
Voles: The species termed prairie vole (Microtus ochro-        We distinguish housekeeping autoencoding from evolu-
gaster ) and meadow vole (M. pennsylvanicus) look very         tionary autoencoding.
much alike, but the two species differ markedly in re-         Housekeeping autoencoding refers to existing species
productive and social behaviors: prairie vole males            interactions that have not been perturbed by innova-
are largely monogamous and social while meadow vole            tions that change species codes. Biological "business
males are polygamous and solitary (Gruder-Adams and            as usual" is housekeeping—maintaining the house.
Getz, 1985). These interaction patterns are compo-             Natural housekeeping autoencoding is similar to the er-
nents of the core codes that distinguish the two species.      ror correction and noise reduction applications of ar-
But meadow voles can be induced to express prairie vole        tificial autoencoding in that the decoding process re-
interactions: Experimental insertion of a vasopressin          stores the integrity of the input. In artificial autoen-
receptor transgene into a specific site in the ventral fore-   coding such noise reduction is computed in a trained
brain of adult male meadow voles changes their repro-          autoencoder using the learned weights of the neural
ductive and social behavior into those that mark prairie       net (see Figure 3). In natural housekeeping, the out-
voles; they become monogamous and friendly (Lim                put is generated by subjecting the input to genetic pro-
et al., 2004). The results of this experiment illustrate       grams for DNA repair (Sancar et al., 2004), cancer sup-
that two existing species can be distinguished by a core       pressor mechanisms (Soussi, 2000), immune reactions
code difference related to a change in the local expres-       and programmed death (Cohen, 2000), among others.
sion of a single gene; what works, works.                      These interaction programs are included in the existing
Crows: Hooded crows (Corvus cornix ) and carrion               species core interaction code. Housekeeping autoencod-
crows (C. corone) are very similar genetically (99.72          ing maintains the state of the individual by restoring a
percent identical) to the point that they can produce          healthy, sustainable body state; but restoration of the
fertile hybrid offspring (Wolf et al., 2010). The two          individual is not evolution.
species are in contiguity in large areas of Europe; why        Evolutionary autoencoding refers to the evolution of
has not one species dominated the other? What factor           new species interaction codes.

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Cohen and Marron, March 2022

Evolutionary autoencoding follows inno-                      into ecosystems is not a strategic response to change;
vations                                                      the encoding/decoding and autoencoding processes are
Changes in species interaction codes emerge from in-         the essence of the interactive existence of the biosphere.
novations that lead to novel interactions of encoding        The decoding of species interaction codes into ecosys-
and decoding. Innovations are changes that are not           tems is a manifestation of survival of the fitted. We
included in the existing core codes.                         here propose natural autoencoding of innovations as
Conceptually, there are two broad classes of innova-         the underlying principle that accounts for evolution by
tions: either the environment has changed in a way           Survival-of-the-Fitted (Cohen, 2016; Cohen and Mar-
that renders the core code ineffective in maintaining the    ron, 2020). Extinction results from a failure to decode
species, or the core code has changed so that it is no       effectively.
longer relevant to the present environment. Of course,       Figure 5 depicts an aspect of the simultaneous, parallel
changes can take place both in the present code and          and overlapping flow of encoding and decoding interac-
in the environment—for example, genetically variant          tions among multiple living entities.
members of a hominoid species migrated out of Africa         Recently, Vanchurin and colleagues have used machine
to evolve into the Neanderthal species in the European       learning concepts and thermodynamic principles to de-
environment (Mellars, 2004).                                 velop a theory of evolution (Vanchurin et al., 2022a;
                                                             Vanchurin et al., 2022b). This theory proposes that the
An innovation can enter the biosphere at any scale,
                                                             individual organism "learns" its degree of evolutionary
be it a molecular mutation, an infecting pathogen, an
                                                             fitness by a process of machine learning.
invading species, a cancer cell, a change in nutrients
                                                             Our concept of housekeeping autoencoding could be
or in solar radiation, a natural cataclysm or a social
                                                             aligned with Vanchurin and colleagues regarding the
or a technological invention; witness, for example, the
                                                             focus on the individual. But our concept of the evolu-
industrial revolution and global warming (Rosenzweig
                                                             tionary autoencoding of species interaction codes dif-
et al., 2008).
                                                             fers: Evolution of species as groups emerges from inno-
If the innovation is not integrated into a fitted configu-   vations not included in an existing species code. Evo-
ration within a networked species interaction code, then     lution cannot be guided by the reconstitution of the
an unfitted interaction state can emerge, which may          initial species input; evolution proceeds by the integra-
negatively affect molecules, cells, organisms, species,      tion of new species interaction codes.
and ecosystems; the unfitted innovation will ultimately
fail to survive and become extinct. Figure 4 shows the
effects of innovations on the evolution of the biosphere.    6    Artificial and natural autoen-
Evolutionary autoencoding differs from housekeeping
autoencoding in that the outputs of evolution are new
                                                                  coding manifest significant dif-
core interaction codes. Evolutionary autoencoding also            ferences.
differs from artificial autoencoding in that there is no     Here, we list essential and technical differences between
restoration of the original input, no measure of a loss      natural and artificial autoencoding. The comparison
function and no form of back propagation.                    can help clarify both mechanisms.
The transition from individual housekeeping autoen-
coding to new species interaction codes is a regular fea-     1. Internal Operation: Typical artificial autoen-
ture of the evolution of species; the serial generation          coders iteratively compute and optimize a loss
of new interaction codes from existing codes and the             function (Goodfellow et al., 2016, Chapter 14):
extinction of previous codes constitute the evolution of         each input is encoded, its representation is then de-
life.                                                            coded, and the differences between inputs and cor-
How does the biosphere decide which species interac-             responding reconstructed outputs are computed.
tions to keep and which to discard?                              The results and the computed gradients are used
In nature there is no species optimization step as in            to drive the adjustment and learning of the autoen-
artificial autoencoding; instead, many individual inter-         coder. In Natural Autoencoding, evolving species
actors are formed and many individual interactions are           interaction codes stabilize around working interac-
triggered, and those that happen to repeat are retained          tion patterns. The natural autoencoder works with
in the species by the fact that they work, not by a              the present state without assessing how "good" it
choice based on an external criterion such as the value          is, or whether it is or has been sustainable. As we
of a loss function, or on a Darwinian "optimum" such             stated above, what works, works. Viewed differ-
as a reproductive advantage (Darwin, 1860). Species              ently, artificial autoencoding is devised by humans
interaction codes, including species-specific life spans         to perform an assigned function (Bank et al., 2020;
and reproductive rates, are decoded by the integration           Goodfellow et al., 2016), and hence it can involve
of a species into its particular ecosystem arrangement.          measurements of success or progress. Natural au-
Once formed, sustaining ecosystems can continue to               toencoding processes are driven inevitably by the
grow, adding materials, organisms, species and energy            laws of nature and the state of the biosphere; there
flows.                                                           are no preset goals, that can be used for assess-
Autoencoding of interactions into species and decoding           ment.

                                                                                                           Page 7 of 15
Cohen and Marron, March 2022

   A particular aspect of these operations is that of            selected entities (Goodfellow et al., 2016, Section
   feedback-based repair. Both artificial autoencod-             14.2.2) Biosphere autoencoding focuses on each en-
   ing and natural housekeeping autoencoding can                 tity’s interactions with other entities.
   use existing codes for repair(Goodfellow et al.,
   2016, Section 14.2.2). However, natural evolu-             6. Handling deviations and innovations: Artifi-
   tionary autoencoding shapes species interaction               cial autoencoding is usually designed to avoid or
   codes following innovations whose impact cannot               trim changes, deviations and innovations; where
   be learned or predicted from past experience.                 variations are allowed, they are constrained to a
                                                                 desired distribution (Goodfellow et al., 2016, Sec-
2. Cross connectivity of scales: In typical arti-                tions 3.14 and 20). Biosphere autoencoding ac-
   ficial autoencoding, nodes at a particular network            commodates and retains diverse innovations that
   layer are connected only to nodes in the next higher          happen to be sustainable; this is evolution.
   layer(Goodfellow et al., 2016, Chapter 14; Open-
   ing paragraph); more general connectivity can be          Despite the differences listed above, artificial and natu-
   found in Boltzmann Machine architecture (Ack-             ral autoencoding share the defining property of an en-
   ley et al., 1985), but this design does not include       coding process that reduces the dimensionality of the
   multiple built-in scales or hierarchies. Natural au-      input to generate a code amenable to decoding. Evolu-
   toencoding features interactions both between and         tion, it seems, produced Natural Autoencoding millions
   within scales—for example, in addition to the in-         of years before humans developed artificial autoencod-
   teractions between a cell and its host organism,          ing. We introduced the concept of autoencoding by
   a cell can interact with other cells in the same          referring to a version of artificial autoencoding. How-
   organism, and with other organisms as shown in            ever, from the perspective of evolutionary time, arti-
   Figure 2.                                                 ficial autoencoding, is a "non-conventional" variant of
                                                             the natural process that proceeded it.
3. Recursion and reflectivity: In artificial autoen-
   coding, the autoencoder itself is usually not part
   of the input; where recursion is applied, it is by        7    Autoencoding clarifies the dy-
   iterative feeding of intermediate results into the
   autoencoder (Socher et al., 2011); reflection is in
                                                                  namics of evolution.
   the backpropagation process, which exists in a dif-       Darwin saw evolution as a gradual process; moreover,
   ferent realm than the input and output data. In           he believed that evolution in abrupt steps would leave
   Natural Autoencoding, the biosphere incorporates          an opening for creationist arguments (Darwin, 1860,
   the inputs, the outputs and the very machinery of         Chapter 9).
   autoencoding; the autoencoder recursively receives        Neo-Darwinians, too, supported gradualism. Fisher,
   copies of earlier versions of itself as part of the in-   for example, claimed that the probability of a mutation
   put.                                                      increasing the "Darwinian fitness coefficient" of an or-
                                                             ganism decreases proportionately with the magnitude
   Another aspect of this recursion is input prepa-          of the mutation; Survival-of-the-Fittest assumes that
   ration. Artificial autoencoding features a prelimi-       any existing species must be close to its peak of fitness
   nary representation, a "pre-encoding" step, to con-       in a given environment; when you are already near the
   vert the subject of interest into a numerical com-        peak, too great a step becomes a descent. Hence, any
   puter input format. The inputs into natural au-           abrupt genetic change is likely to result in decreased fit-
   toencoding are biosphere interactions; there is no        ness (Fisher, 1958). Evolution just had to proceed only
   pre-encoding. For example, artificial autoencod-          in small, gradual steps (Pigliucci and Müller, 2010).
   ing of a visual scene, starts with a numerical pixel-     However, Gould and Eldredge introduced the term
   based representation of an image. The input to            punctuated equilibria to describe long periods of seem-
   natural autoencoding of that scene are the direct         ing stasis interrupted by bursts of new species in the
   effects of light waves emanating from the real world      fossil record (Gould and Eldredge, 1972). The authors
   objects on biological receptors.                          interpreted the observation of stasis as a sign of silent
4. Selection of training input: Artificial autoen-           equilibrium punctuated, as it were, by discrete periods
   coding is generally unsupervised, but inputs are          of jumps in evolutionary activity—or "saltations", as
   most often preselected from a designated class            described earlier by Goldschmidt (Goldschmidt, 1940;
   within a defined domain (Bank et al., 2020, Section       Dietrich, 2003).
   4). The inputs into Natural Autoencoding are en-          It is well documented that DNA mutations occur
   tire ecosystems, with all their diverse entities and      constantly and proceed at uniform rates, actually
   dynamic interactions.                                     establishing a biological clock of uniformly gradual
                                                             change (Lynch, 2010). Environments, too, constantly
5. Features     of interest: Artificial autoencoding is      change (Lindsey et al., 2013).
   driven by     optimization of the similarity of each      The observation of stasis along with saltations raises
   output to    its corresponding input, relying on ob-      a question: How can continuous genetic and environ-
   servations   of specific features or properties of the    mental change be reconciled, on the one hand, with

                                                                                                            Page 8 of 15
Cohen and Marron, March 2022

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Acknowledgments
We thank Gil Egozi, Guy Frankel, David Harel, Eu-
gene Koonin, Antonio López-Pinto, Eugene Rosenberg,
and Smadar Szekely for valuable discussions and sug-
gestions.

Author contributions
IRC and AM contributed equally to the paper.

Competing interests
The authors have no competing interests.

                                                                           Page 12 of 15
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