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D2.1 Requirements and Specification - CORBYS

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<strong>D2.1</strong> <strong>Requirements</strong> <strong>and</strong> <strong>Specification</strong><br />

demonstrate quantitatively the role of information in the sensorimotor loop: the difference in entropy<br />

reduction in the environment that an agent achieves in open-loop <strong>and</strong> closed-loop mode is limited by the<br />

information that the agent takes in. This is a fundamental limit that holds for any system that can be<br />

probabilistically modelled. It does not depend on any other particulars of the model. As such, it exemplifies<br />

the universality character of information-theoretic descriptions of agents which holds independently of their<br />

computational model. This relevance is universal when it holds to the informational interaction (<strong>and</strong> all<br />

physical interactions are at the same time informational) of an agent with its environment.<br />

However, the relevance even seems to translate into how biological organisms process information internally<br />

or how information is generally processed in evolutionary context. For instance, evolutionary fitness models<br />

that are suitable to be cast into Kelly Gambling scenarios (Kelly, 1956) can be combined with Howard’s value<br />

of information (Howard, 1966) in a coherent framework (Donaldson-Matasci et al., 2010).<br />

There are indications that the internal processing of sensoric stimuli seems also to be governed by<br />

informational optimality principles. This seems to hold particularly true for neural signals (Rieke et al., 1999,<br />

Laughlin et al., 1998, Parush et al., 2011). The basis for that assumption is partly due to metabolic reasons,<br />

since (Shannon) information processing is metabolically expensive. It is expected that evolutionary pressure<br />

will act as to optimise the information processing channels of an organism (Brenner et al., 2000, Laughlin,<br />

2001, Polani, 2009). Under this hypothesis, an under-exploited informatory channel will either be evolved<br />

away until it is optimally used, or else be increasingly used to improve the utility that can be gained through<br />

its existence. It follows that, in the adaptive equilibrium case, one expects that an existing information<br />

channel for an adapted organism (i.e. an organism that is in a suitable sense of its “informational ecology” in<br />

balance with its environment) will be exploited to its fullest by this organism. It will in general not hold true<br />

for an organism out of balance, i.e. an organism that only recently entered a new ecological niche <strong>and</strong> did not<br />

yet (on individual as well as on population level) have sufficient time to adapt to that niche.<br />

These assumptions are also consistent with the assumption that sensorimotor abilities of animals <strong>and</strong> humans<br />

operate on the basis of a Bayesian model (Schrater <strong>and</strong> Kersten, 2002, Körding <strong>and</strong> Wolpert, 2004). Evidence<br />

for the Bayesian character of organismic decision making is not limited to higher organisms. In fact, it turns<br />

out that even insect behaviour demonstrates some consistency with Bayesian modelling. An example for that<br />

is the infotaxis model that was introduced by (Vergassola et al., 2007) to model the search behaviour of a male<br />

moth for its female mate through a very sparse, event-based olfactory signal. In this model, isolated<br />

pheromone detection events, through an inverse Bayesian model, <strong>and</strong> through a seeking behaviour that is<br />

consistent with maximizing information about the location of the mate (named infotaxis by the authors) are<br />

sufficient to reconstruct a search-<strong>and</strong>-home dynamics that is surprisingly consistent with what is observed as<br />

behaviour of actual moths. It is, of course, not assumed that the male moth is indeed “implementing” a full<br />

Bayesian model <strong>and</strong> an infotaxis dynamics, <strong>and</strong> in fact, it is more plausible to assume that the brain of the<br />

organism will in most likeliness implement a proxy or surrogate dynamics that, in the scenarios of relevance<br />

will exhibit infotaxis-analogue behaviour. Nevertheless, the close similarity demonstrates that the assumption<br />

of near Bayes- <strong>and</strong> information-optimal behaviour provides a powerful model while not necessarily of<br />

mechanisms, but of general character of organismic behaviour generation <strong>and</strong> the incentives that drive it.<br />

12.2.2 Cognitive Modelling Context<br />

The identification of information-theoretic concepts as governing the behaviour of organisms provides<br />

quantitative pathways towards a systematic modelling of cognitive architectures based on these principles.<br />

However, although information theory is an old <strong>and</strong> long-established field, its successful use for cognitive<br />

modelling has exp<strong>and</strong>ed in a very significant only in the last decade, boosted by a series of advances.<br />

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