Semantic Information in a model of Resource Gathering Agents

Abstract

We explore the application of a new theory of Semantic Information to the well-motivated problem of a resource foraging agent. Semantic information is defined as the subset of correlations, measured via the transfer entropy, between agent $A$ and environment $E$ that is necessary for the agent to maintain its viability $V$. Viability, in turn, is endogenously defined as opposed to the use of exogenous quantities like utility functions. In our model, the forager's movements are determined by its ability to measure, via a sensor, the presence of an individual unit of resource, while the viability function is its expected lifetime. Through counterfactual interventions -- scrambling the correlations between agent and environment via noising the sensor -- we demonstrate the presence of a critical value of the noise parameter, ${\eta }_c$, above which the forager's expected lifetime is dramatically reduced. On the other hand, for $\eta <{\eta }_c$ there is little-to-no effect on its ability to survive. We refer to this boundary as the semantic threshold, quantifying the subset of agent-environment correlations that the agent actually needs to maintain its desired state of staying alive. Each bit of information affects the agent's ability to persist both above and below the semantic threshold. Modeling the viability curve and its semantic threshold via forager/environment parameters, we show how the correlations are instantiated. Our work provides a useful model for studies of established agents in terms of semantic information. It also shows that such semantic thresholds may prove useful for understanding the role information plays in allowing systems to become autonomous agents.

arXiv comment17 pages, 10 figures, 5 appendices

References in corpus (19)

• Measuring Information Transfer
• Human Mobility: Models and Applications
• Intermittent search strategies
• Information theory in molecular biology
• The Value of Information for Populations in Varying Environments
• Semantic information, autonomous agency, and nonequilibrium statistical physics
• Bidimensional intermittent search processes: an alternative to Levy flights strategies
• E. coli chemotaxis is information-limited
• Turing patterns mediated by network topology in homogeneous active systems
• Depletion-Controlled Starvation of a Diffusing Forager
• Shape Is Destiny II: Configurational Information Approach to Instantons and False Vacuum Decay in D-dimensional Spacetime
• Poroelasticity as a Model of Soft Tissue Structure: Hydraulic Permeability Inference for Magnetic Resonance Elastography in Silico
• Role of Depletion on the Dynamics of a Diffusing Forager
• How We Make Sense of the World: Information, Map-Making, and The Scientific Narrative
• Does Greed Help a Forager Survive?
• How Smart Should a Forager Be?
• Internal composite bound states in deterministic reaction diffusion models
• Chemical oscillators synchronized via an active oscillating medium: dynamics and phase approximation model
• Consensus between Epistemic Agents is Difficult

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• Information bounds production in replicator systems
• Theoretical Analysis of Resource-Induced Phase Transitions in Estimation Strategies