Predictive processing simplified: The infotropic machine

On a traditional view of cognition, we see the agent acquiring stimuli, interpreting these in some way, and producing behavior in response. An increasingly popular alternative is the predictive processing framework. This sees the agent as continually generating predictions about the world, and responding productively to any errors made. Partly because of its heritage in the Bayesian brain theory, predictive processing has generally been seen as an inherently Bayesian process. The 'hierarchical prediction machine' which mediates it is envisaged to be a specifically Bayesian device. But as this paper shows, a specification for this machine can also be derived directly from information theory, using the metric of predictive payoff as an organizing concept. Hierarchical prediction machines can be built along purely information-theoretic lines, without referencing Bayesian theory in any way; this simplifies the account to some degree. The present paper describes what is involved and presents a series of working models. An experiment involving the conversion of a Braitenberg vehicle to use a controller of this type is also described.

[1]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[2]  A. Clark Surfing Uncertainty: Prediction, Action, and the Embodied Mind , 2015 .

[3]  Karl J. Friston,et al.  On Hyperpriors and Hypopriors: Comment on Pellicano and Burr , 2022 .

[4]  E. Reed The Ecological Approach to Visual Perception , 1989 .

[5]  H. Spencer The Principles of Psychology - Vol. I , 2016 .

[6]  Peter A van der Helm Bayesian confusions surrounding simplicity and likelihood in perceptual organization. , 2011, Acta psychologica.

[7]  Geoffrey E. Hinton,et al.  The Helmholtz Machine , 1995, Neural Computation.

[8]  D. Knill,et al.  The Bayesian brain: the role of uncertainty in neural coding and computation , 2004, Trends in Neurosciences.

[9]  G. Brier VERIFICATION OF FORECASTS EXPRESSED IN TERMS OF PROBABILITY , 1950 .

[10]  Jim W Kay,et al.  Coherent Infomax as a Computational Goal for Neural Systems , 2011, Bulletin of mathematical biology.

[11]  J. Hohwy The Predictive Mind , 2013 .

[12]  Tai Sing Lee,et al.  Hierarchical Bayesian inference in the visual cortex. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  Rajesh P. N. Rao,et al.  Bayesian brain : probabilistic approaches to neural coding , 2006 .

[14]  E. Tolman Cognitive maps in rats and men. , 1948, Psychological review.

[15]  Karl J. Friston,et al.  Reinforcement Learning or Active Inference? , 2009, PloS one.

[16]  Fred I. Dretske,et al.  Précis of Knowledge and the Flow of Information , 1983, Behavioral and Brain Sciences.

[17]  A. Borst Seeing smells: imaging olfactory learning in bees , 1999, Nature Neuroscience.

[18]  Karl J. Friston,et al.  Attention, Uncertainty, and Free-Energy , 2010, Front. Hum. Neurosci..

[19]  Michael W Spratling Distinguishing theory from implementation in predictive coding accounts of brain function. , 2013, The Behavioral and brain sciences.

[20]  Angela J. Yu,et al.  Uncertainty, Neuromodulation, and Attention , 2005, Neuron.

[21]  Karl J. Friston,et al.  Free-Energy Minimization and the Dark-Room Problem , 2012, Front. Psychology.

[22]  Chris Eliasmith,et al.  Neural Engineering: Computation, Representation, and Dynamics in Neurobiological Systems , 2004, IEEE Transactions on Neural Networks.

[23]  Geoffrey E. Hinton,et al.  Autoencoders, Minimum Description Length and Helmholtz Free Energy , 1993, NIPS.

[24]  Claude E. Shannon,et al.  A mathematical theory of communication , 1948, MOCO.

[25]  D. Temperley Music and probability , 2006 .

[26]  C. Summerfield,et al.  Grounding predictive coding models in empirical neuroscience research. , 2013, The Behavioral and brain sciences.

[27]  V. Braitenberg Vehicles, Experiments in Synthetic Psychology , 1984 .

[28]  K. Lashley The problem of serial order in behavior , 1951 .

[29]  Peter Elias,et al.  Predictive coding-I , 1955, IRE Trans. Inf. Theory.

[30]  A. Clark Whatever next? Predictive brains, situated agents, and the future of cognitive science. , 2013, The Behavioral and brain sciences.

[31]  D. Mackay,et al.  Towards an information-flow model of human behaviour. , 1956, British journal of psychology.

[32]  W. James,et al.  The Principles of Psychology. , 1983 .

[33]  Myron Tribus,et al.  Thermostatics and thermodynamics : an introduction to energy, information and states of matter, with engineering applications , 1961 .

[34]  Lucy S. Petro,et al.  Backwards is the way forward: feedback in the cortical hierarchy predicts the expected future. , 2013, The Behavioral and brain sciences.

[35]  Rajesh P. N. Rao,et al.  CHAPTER 91 – Probabilistic Models of Attention Based on Iconic Representations and Predictive Coding , 2005 .

[36]  Karl J. Friston,et al.  A theory of cortical responses , 2005, Philosophical Transactions of the Royal Society B: Biological Sciences.

[37]  Michael Mandelstam,et al.  On the Bandwagon? , 2007 .

[38]  Chris Eliasmith,et al.  God, the devil, and the details: Fleshing out the predictive processing framework. , 2013, The Behavioral and brain sciences.

[39]  C. Summerfield,et al.  Expectation (and attention) in visual cognition , 2009, Trends in Cognitive Sciences.

[40]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .

[41]  Chris Thornton,et al.  Infotropism as the underlying principle of perceptual organization , 2014 .

[42]  J. Tenenbaum,et al.  Special issue on “Probabilistic models of cognition , 2022 .

[43]  Karl J. Friston The free-energy principle: a unified brain theory? , 2010, Nature Reviews Neuroscience.

[44]  Frank Mueller,et al.  Preface , 2009, 2009 IEEE International Symposium on Parallel & Distributed Processing.

[45]  F. Ramsey Truth and Probability , 2016 .

[46]  William P. Alston,et al.  Knowledge and the Flow of Information , 1985 .

[47]  Andy Clark,et al.  The many faces of precision (Replies to commentaries on “Whatever next? Neural prediction, situated agents, and the future of cognitive science”) , 2013, Front. Psychol..

[48]  Chris Eliasmith,et al.  How to build a brain: from function to implementation , 2007, Synthese.

[49]  J. Gibson The Ecological Approach to Visual Perception , 1979 .

[50]  Karl J. Friston,et al.  Predictive coding explains binocular rivalry: An epistemological review , 2008, Cognition.

[51]  Karl J. Friston,et al.  Active Inference, Attention, and Motor Preparation , 2011, Front. Psychology.

[52]  Karl J. Friston Active inference and free energy. , 2013, The Behavioral and brain sciences.

[53]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[54]  James H. Moor,et al.  Knowledge and the Flow of Information. , 1982 .

[55]  David J. C. MacKay,et al.  Information Theory, Inference, and Learning Algorithms , 2004, IEEE Transactions on Information Theory.

[56]  B. Balas,et al.  Personal Familiarity Influences the Processing of Upright and Inverted Faces in Infants , 2009, Front. Hum. Neurosci..

[57]  Rajesh P. N. Rao,et al.  Predictive Coding , 2019, A Blueprint for the Hard Problem of Consciousness.

[58]  R. Duncan Luce,et al.  Whatever Happened to Information Theory in Psychology? , 2003 .

[59]  Karl J. Friston,et al.  Perceptions as Hypotheses: Saccades as Experiments , 2012, Front. Psychology.

[60]  Ralph Norman Haber,et al.  Can information be objectivized? , 1983, Behavioral and Brain Sciences.

[61]  Dana H. Ballard,et al.  Predictive Feedback Can Account for Biphasic Responses in the Lateral Geniculate Nucleus , 2009, PLoS Comput. Biol..